* [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)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ 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)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (/ x x) into 1 * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 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 (+ (* 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 (- 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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (sqr y))) (/ 1 y)))) into (/ 1 (pow y 3)) * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [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 0 into 0 * [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 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 y) 0) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 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 (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- 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]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 x) -1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]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)))) 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)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (+ 0 -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 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 (- 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) 0) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (/ 1 y)) -1)))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 y)) (/ (- (/ 1 y)) -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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 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 (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- 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]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 4 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (/ x (+ x y))) * [exit]simplify: Simplified to (log (/ x (+ x y))) * * * * [misc]progress: [ 6 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ x (+ x y))) * [exit]simplify: Simplified to (exp (/ x (+ x y))) * * * * [misc]progress: [ 7 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * * * * [misc]progress: [ 8 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (cube (/ x (+ x y))) * [exit]simplify: Simplified to (cube (/ x (+ x y))) * * * * [misc]progress: [ 9 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ x y))) * [exit]simplify: Simplified to (sqrt (/ x (+ x y))) * * * * [misc]progress: [ 10 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * [enter]simplify: Simplifying (- (+ y x)) * * [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: [ 11 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ y x)) * * [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: [ 13 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ y x) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (+ y x) x) * [exit]simplify: Simplified to (/ (+ y x) x) * * * * [misc]progress: [ 14 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ x 1) * [exit]simplify: Simplified to (/ x 1) * * * * [misc]progress: [ 15 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (+ (pow y 3) (pow x 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 (/ x (+ (cube x) (cube y))) * [exit]simplify: Simplified to (/ x (+ (cube x) (cube y))) * * * * [misc]progress: [ 16 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- (sqr y) (sqr x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (/ x (* (+ x y) (- y x))) * [exit]simplify: Simplified to (/ x (* (+ x y) (- y x))) * * * [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 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ x (+ y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ x (+ y x))) in y * [misc]taylor: Rewrote expression to (pow (/ x (+ y x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ y x))))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ x (+ y x)))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ x (+ y x))) in y * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (/ x x) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 x))) 1)) (pow 1 1)))) 1) into (/ -1 x) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 x)) (* 0 0)) into (- (* 1/3 (/ 1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ x (+ y x))) in x * [misc]taylor: Rewrote expression to (pow (/ x (+ y x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ y x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ x (+ y x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ x (+ y x))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (log (/ 1 y)) into (log (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ 1 y)) (log x))) into (* 1/3 (+ (log (/ 1 y)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) into (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ x (+ y x))) in x * [misc]taylor: Rewrote expression to (pow (/ x (+ y x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ y x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ x (+ y x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ x (+ y x))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (log (/ 1 y)) into (log (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ 1 y)) (log x))) into (* 1/3 (+ (log (/ 1 y)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) into (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (/ 1 y)) (log x))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 y)) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) * [misc]backup-simplify: Simplify (+ (- (log y)) (log x)) into (- (log x) (log y)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x) (log y))) into (* 1/3 (- (log x) (log y))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log x) (log y)))) into (exp (* 1/3 (- (log x) (log y)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log x) (log y)))) into (exp (* 1/3 (- (log x) (log y)))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 (sqr y)))) 1)) (pow (/ 1 y) 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 (+ (log (/ 1 y)) (log x)))) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) y)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) y)) in y * [misc]taylor: Taking taylor expansion of -1/3 in y * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) y) in y * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (/ 1 y)) (log x))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 y)) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) * [misc]backup-simplify: Simplify (+ (- (log y)) (log x)) into (- (log x) (log y)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x) (log y))) into (* 1/3 (- (log x) (log y))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log x) (log y)))) into (exp (* 1/3 (- (log x) (log 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 (/ (exp (* 1/3 (- (log x) (log y)))) 1) into (exp (* 1/3 (- (log x) (log y)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log x) (log y)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log x) (log y)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log x) (log y)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log x) (log y)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (sqr y))) (/ 1 y)))) into (/ 1 (pow y 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 (sqr y)))) 2)) (pow (/ 1 y) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 3))) 1)) (pow (/ 1 y) 1)))) 2) into (/ 1/2 (sqr y)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 (+ (log (/ 1 y)) (log x))))) into (* 1/6 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (sqr y))) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2/9 in y * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (sqr y)) in y * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (/ 1 y)) (log x))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 y)) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) * [misc]backup-simplify: Simplify (+ (- (log y)) (log x)) into (- (log x) (log y)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x) (log y))) into (* 1/3 (- (log x) (log y))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log x) (log y)))) into (exp (* 1/3 (- (log x) (log 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 (/ (exp (* 1/3 (- (log x) (log y)))) 1) into (exp (* 1/3 (- (log x) (log y)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log x) (log y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log x) (log y))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log x) (log y)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log x) (log y)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log x) (log y))))))) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log x) (log y))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log x) (log y)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log x) (log y))))))) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log x) (log y))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (sqr y))) (/ 0 y)) (* (/ 1 (pow y 3)) (/ 1 y)))) into (- (/ 1 (pow y 4))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 (sqr y)))) 3)) (pow (/ 1 y) 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 (sqr y)))) 1) (pow (* 2 (/ 1 (pow y 3))) 1)) (pow (/ 1 y) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 4)))) 1)) (pow (/ 1 y) 1)))) 6) into (/ -1/3 (pow y 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow y 3))) (+ (* 0 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 (+ (log (/ 1 y)) (log x)))))) into (- (* 1/9 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1) (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow y 3)))) 1) 1)))) into (* -14/81 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (pow y 3))) * [misc]taylor: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (pow y 3))) in y * [misc]taylor: Taking taylor expansion of -14/81 in y * [misc]backup-simplify: Simplify -14/81 into -14/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (/ 1 y)) (log x))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 y)) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) * [misc]backup-simplify: Simplify (+ (- (log y)) (log x)) into (- (log x) (log y)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x) (log y))) into (* 1/3 (- (log x) (log y))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log x) (log y)))) into (exp (* 1/3 (- (log x) (log y)))) * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log x) (log y)))) 1) into (exp (* 1/3 (- (log x) (log y)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log x) (log y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log x) (log y))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x) (log y)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log x) (log y)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log x) (log y)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log x) (log y)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log x) (log y)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -14/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log x) (log y)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log x) (log y)))) into (exp (* 1/3 (- (log x) (log y)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Rewrote expression to (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log y)) (log (/ 1 x))) into (+ (log (/ 1 x)) (log y)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ 1 x)) (log y))) into (* 1/3 (+ (log (/ 1 x)) (log y))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 x)) (log y)))) into (exp (* 1/3 (+ (log (/ 1 x)) (log y)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 y) 0) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 1 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 0)) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 y) 0) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 1 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 0)) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (exp 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 (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (/ -1/3 y) * [misc]taylor: Taking taylor expansion of (/ -1/3 y) in y * [misc]taylor: Taking taylor expansion of -1/3 in y * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (/ -1/3 1) into -1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/3 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqr y))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr y)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 0))) into (* 1/6 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)))) into (/ 2/9 (sqr y)) * [misc]taylor: Taking taylor expansion of (/ 2/9 (sqr y)) in y * [misc]taylor: Taking taylor expansion of 2/9 in y * [misc]backup-simplify: Simplify 2/9 into 2/9 * [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 (/ 2/9 1) into 2/9 * [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 (- (/ 0 1) (+ (* 2/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (sqr y)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (sqr y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow y 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow y 3))) (+ (* 0 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 0)))) into (- (* 1/9 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1) (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow y 3)))) 1) 1)))) into (/ -14/81 (pow y 3)) * [misc]taylor: Taking taylor expansion of (/ -14/81 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of -14/81 in y * [misc]backup-simplify: Simplify -14/81 into -14/81 * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ -14/81 1) into -14/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -14/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -14/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -14/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Rewrote expression to (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log y)) (log (/ 1 x))) into (+ (log (/ 1 x)) (log y)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ 1 x)) (log y))) into (* 1/3 (+ (log (/ 1 x)) (log y))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 x)) (log y)))) into (exp (* 1/3 (+ (log (/ 1 x)) (log y)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 (- 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) 0) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (/ 1 y)) -1)))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 1 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 0)) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 (- 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) 0) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (/ 1 y)) -1)))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 1 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 0)) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (exp 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 (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (/ -1/3 y) * [misc]taylor: Taking taylor expansion of (/ -1/3 y) in y * [misc]taylor: Taking taylor expansion of -1/3 in y * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (/ -1/3 1) into -1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/3 (/ 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 y)) (/ (- (/ 1 y)) -1)))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqr y))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr y)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 0))) into (* 1/6 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)))) into (/ 2/9 (sqr y)) * [misc]taylor: Taking taylor expansion of (/ 2/9 (sqr y)) in y * [misc]taylor: Taking taylor expansion of 2/9 in y * [misc]backup-simplify: Simplify 2/9 into 2/9 * [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 (/ 2/9 1) into 2/9 * [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 (- (/ 0 1) (+ (* 2/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 y)) (/ 0 -1)) (* (/ 1 (sqr y)) (/ (- (/ 1 y)) -1)))) into (- (/ 1 (pow y 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (sqr y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow y 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow y 3))) (+ (* 0 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 0)))) into (- (* 1/9 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1) (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow y 3)))) 1) 1)))) into (/ -14/81 (pow y 3)) * [misc]taylor: Taking taylor expansion of (/ -14/81 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of -14/81 in y * [misc]backup-simplify: Simplify -14/81 into -14/81 * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ -14/81 1) into -14/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -14/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -14/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -14/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ x (+ y x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ x (+ y x)))) in y * [misc]taylor: Rewrote expression to (pow (cbrt (/ x (+ y x))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ x (+ y x)))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ x (+ y x))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ x (+ y x)))) in y * [misc]taylor: Taking taylor expansion of (cbrt (/ x (+ y x))) in y * [misc]taylor: Rewrote expression to (pow (/ x (+ y x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ y x))))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ x (+ y x)))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ x (+ y x))) in y * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (/ x x) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 x))) 1)) (pow 1 1)))) 1) into (/ -1 x) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 x)) (* 0 0)) into (- (* 1/3 (/ 1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 x))) 1) 1)))) into (/ -1/3 x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ -1/3 x)) 1)) (pow 1 1)))) 1) into (/ -1/3 x) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/3 x)) (* 0 0)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ x (+ y x)))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ x (+ y x))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ x (+ y x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ x (+ y x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ x (+ y x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ x (+ y x))) in x * [misc]taylor: Rewrote expression to (pow (/ x (+ y x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ y x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ x (+ y x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ x (+ y x))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (log (/ 1 y)) into (log (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ 1 y)) (log x))) into (* 1/3 (+ (log (/ 1 y)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) into (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log (/ 1 y)) (log x))))) into (* 1/3 (+ (log (/ 1 y)) (log x))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log (/ 1 y)) (log x)))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log (/ 1 y)) (log x))) into (exp (+ (log (/ 1 y)) (log x))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ x (+ y x)))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ x (+ y x))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ x (+ y x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ x (+ y x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ x (+ y x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ x (+ y x))) in x * [misc]taylor: Rewrote expression to (pow (/ x (+ y x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ x (+ y x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ x (+ y x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ x (+ y x))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (log (/ 1 y)) into (log (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ 1 y)) (log x))) into (* 1/3 (+ (log (/ 1 y)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) into (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log (/ 1 y)) (log x))))) into (* 1/3 (+ (log (/ 1 y)) (log x))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log (/ 1 y)) (log x)))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log (/ 1 y)) (log x))) into (exp (+ (log (/ 1 y)) (log x))) * [misc]taylor: Taking taylor expansion of (exp (+ (log (/ 1 y)) (log x))) in y * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 y)) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) * [misc]backup-simplify: Simplify (+ (- (log y)) (log x)) into (- (log x) (log y)) * [misc]backup-simplify: Simplify (exp (- (log x) (log y))) into (exp (- (log x) (log y))) * [misc]backup-simplify: Simplify (exp (- (log x) (log y))) into (exp (- (log x) (log y))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 (sqr y)))) 1)) (pow (/ 1 y) 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 (+ (log (/ 1 y)) (log x)))) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1/3 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) y))) 1)) (pow (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) 1)))) 1) into (/ -1/3 y) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/3 y)) (* 0 (* 1/3 (+ (log (/ 1 y)) (log x))))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (* (exp (+ (log (/ 1 y)) (log x))) (+ (* (/ (pow (- (/ 1 y)) 1) 1)))) into (* -1 (/ (exp (+ (log (/ 1 y)) (log x))) y)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (exp (+ (log (/ 1 y)) (log x))) y)) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (exp (+ (log (/ 1 y)) (log x))) y) in y * [misc]taylor: Taking taylor expansion of (exp (+ (log (/ 1 y)) (log x))) in y * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 y)) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) * [misc]backup-simplify: Simplify (+ (- (log y)) (log x)) into (- (log x) (log y)) * [misc]backup-simplify: Simplify (exp (- (log x) (log y))) into (exp (- (log x) (log 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 (/ (exp (- (log x) (log y))) 1) into (exp (- (log x) (log y))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x) (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log x) (log y))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (exp (- (log x) (log y))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x) (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (sqr y))) (/ 1 y)))) into (/ 1 (pow y 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 (sqr y)))) 2)) (pow (/ 1 y) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 3))) 1)) (pow (/ 1 y) 1)))) 2) into (/ 1/2 (sqr y)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 (+ (log (/ 1 y)) (log x))))) into (* 1/6 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (sqr y))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1/3 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) y))) 2)) (pow (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 2/9 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (sqr y)))) 1)) (pow (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) 1)))) 2) into (/ 1/6 (sqr y)) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/6 (sqr y))) (+ (* 0 (/ -1/3 y)) (* 0 (* 1/3 (+ (log (/ 1 y)) (log x)))))) into (* 1/2 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (* (exp (+ (log (/ 1 y)) (log x))) (+ (* (/ (pow (- (/ 1 y)) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (sqr y))) 1) 1)))) into (/ (exp (+ (log (/ 1 y)) (log x))) (sqr y)) * [misc]taylor: Taking taylor expansion of (/ (exp (+ (log (/ 1 y)) (log x))) (sqr y)) in y * [misc]taylor: Taking taylor expansion of (exp (+ (log (/ 1 y)) (log x))) in y * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 y)) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) * [misc]backup-simplify: Simplify (+ (- (log y)) (log x)) into (- (log x) (log y)) * [misc]backup-simplify: Simplify (exp (- (log x) (log y))) into (exp (- (log x) (log 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 (/ (exp (- (log x) (log y))) 1) into (exp (- (log x) (log y))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x) (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x) (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log x) (log y))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log x) (log y))) (/ 0 1)) (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x) (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log x) (log y))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (- (log x) (log y)))))) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x) (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (sqr y))) (/ 0 y)) (* (/ 1 (pow y 3)) (/ 1 y)))) into (- (/ 1 (pow y 4))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 (sqr y)))) 3)) (pow (/ 1 y) 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 (sqr y)))) 1) (pow (* 2 (/ 1 (pow y 3))) 1)) (pow (/ 1 y) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 4)))) 1)) (pow (/ 1 y) 1)))) 6) into (/ -1/3 (pow y 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (/ 1 y))) into (+ (log (/ 1 y)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow y 3))) (+ (* 0 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 (+ (log (/ 1 y)) (log x)))))) into (- (* 1/9 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1) (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow y 3)))) 1) 1)))) into (* -14/81 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (pow y 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -1/3 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) y))) 3)) (pow (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) 3))) (* -3 (/ (* (pow (* 1 (* -1/3 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) y))) 1) (pow (* 2 (* 2/9 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (sqr y)))) 1)) (pow (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -14/81 (/ (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) (pow y 3)))) 1)) (pow (exp (* 1/3 (+ (log (/ 1 y)) (log x)))) 1)))) 6) into (/ -1/9 (pow y 3)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/9 (pow y 3))) (+ (* 0 (/ 1/6 (sqr y))) (+ (* 0 (/ -1/3 y)) (* 0 (* 1/3 (+ (log (/ 1 y)) (log x))))))) into (- (* 1/3 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp (+ (log (/ 1 y)) (log x))) (+ (* (/ (pow (- (/ 1 y)) 3) 6)) (* (/ (pow (- (/ 1 y)) 1) 1) (/ (pow (* 1/2 (/ 1 (sqr y))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow y 3)))) 1) 1)))) into (* -1 (/ (exp (+ (log (/ 1 y)) (log x))) (pow y 3))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (exp (+ (log (/ 1 y)) (log x))) (pow y 3))) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (exp (+ (log (/ 1 y)) (log x))) (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (exp (+ (log (/ 1 y)) (log x))) in y * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 y)) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) * [misc]backup-simplify: Simplify (+ (- (log y)) (log x)) into (- (log x) (log y)) * [misc]backup-simplify: Simplify (exp (- (log x) (log y))) into (exp (- (log x) (log y))) * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ (exp (- (log x) (log y))) 1) into (exp (- (log x) (log y))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x) (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x) (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log x) (log y))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x) (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log x) (log y))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log x) (log y))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (log x) (log y))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (log x) (log y))) into (exp (- (log x) (log y))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Rewrote expression to (pow (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Rewrote expression to (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log y)) (log (/ 1 x))) into (+ (log (/ 1 x)) (log y)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ 1 x)) (log y))) into (* 1/3 (+ (log (/ 1 x)) (log y))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 x)) (log y)))) into (exp (* 1/3 (+ (log (/ 1 x)) (log y)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log (/ 1 x)) (log y))))) into (* 1/3 (+ (log (/ 1 x)) (log y))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log (/ 1 x)) (log y)))) into (+ (log (/ 1 x)) (log y)) * [misc]backup-simplify: Simplify (exp (+ (log (/ 1 x)) (log y))) into (exp (+ (log (/ 1 x)) (log y))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 y) 0) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 1 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 0)) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (/ -1/3 y) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ -1/3 y)) 1)) (pow 1 1)))) 1) into (/ -1/3 y) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/3 y)) (* 0 0)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 y) 0) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 1 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 0)) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (/ -1/3 y) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ -1/3 y)) 1)) (pow 1 1)))) 1) into (/ -1/3 y) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/3 y)) (* 0 0)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (exp 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 (* (exp 0) (+ (* (/ (pow (- (/ 1 y)) 1) 1)))) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ -1 y) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqr y))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr y)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 0))) into (* 1/6 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)))) into (/ 2/9 (sqr y)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ -1/3 y)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 2/9 (sqr y))) 1)) (pow 1 1)))) 2) into (/ 1/6 (sqr y)) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/6 (sqr y))) (+ (* 0 (/ -1/3 y)) (* 0 0))) into (* 1/2 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (/ 1 y)) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (sqr y))) 1) 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 (+ (* 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 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (- (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (sqr y)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (sqr y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow y 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow y 3))) (+ (* 0 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 0)))) into (- (* 1/9 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1) (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow y 3)))) 1) 1)))) into (/ -14/81 (pow y 3)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ -1/3 y)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ -1/3 y)) 1) (pow (* 2 (/ 2/9 (sqr y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (/ -14/81 (pow y 3))) 1)) (pow 1 1)))) 6) into (/ -1/9 (pow y 3)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/9 (pow y 3))) (+ (* 0 (/ 1/6 (sqr y))) (+ (* 0 (/ -1/3 y)) (* 0 0)))) into (- (* 1/3 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (/ 1 y)) 3) 6)) (* (/ (pow (- (/ 1 y)) 1) 1) (/ (pow (* 1/2 (/ 1 (sqr y))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow y 3)))) 1) 1)))) into (/ -1 (pow y 3)) * [misc]taylor: Taking taylor expansion of (/ -1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Rewrote expression to (pow (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Rewrote expression to (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log y)) (log (/ 1 x))) into (+ (log (/ 1 x)) (log y)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ 1 x)) (log y))) into (* 1/3 (+ (log (/ 1 x)) (log y))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ 1 x)) (log y)))) into (exp (* 1/3 (+ (log (/ 1 x)) (log y)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log (/ 1 x)) (log y))))) into (* 1/3 (+ (log (/ 1 x)) (log y))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log (/ 1 x)) (log y)))) into (+ (log (/ 1 x)) (log y)) * [misc]backup-simplify: Simplify (exp (+ (log (/ 1 x)) (log y))) into (exp (+ (log (/ 1 x)) (log y))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 (- 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) 0) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (/ 1 y)) -1)))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 1 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 0)) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (/ -1/3 y) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ -1/3 y)) 1)) (pow 1 1)))) 1) into (/ -1/3 y) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/3 y)) (* 0 0)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 (- 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) 0) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (/ 1 y)) -1)))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 1 1)))) 1) into (/ -1 y) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 y)) (* 0 0)) into (- (* 1/3 (/ 1 y))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (/ -1/3 y) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ -1/3 y)) 1)) (pow 1 1)))) 1) into (/ -1/3 y) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/3 y)) (* 0 0)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (exp 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 (* (exp 0) (+ (* (/ (pow (- (/ 1 y)) 1) 1)))) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ -1 y) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (- 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 y)) (/ (- (/ 1 y)) -1)))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqr y))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr y)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 0))) into (* 1/6 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)))) into (/ 2/9 (sqr y)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ -1/3 y)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 2/9 (sqr y))) 1)) (pow 1 1)))) 2) into (/ 1/6 (sqr y)) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/6 (sqr y))) (+ (* 0 (/ -1/3 y)) (* 0 0))) into (* 1/2 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (/ 1 y)) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (sqr y))) 1) 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 (+ (* 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 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (- 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 y)) (/ 0 -1)) (* (/ 1 (sqr y)) (/ (- (/ 1 y)) -1)))) into (- (/ 1 (pow y 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (sqr y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow y 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow y 3))) (+ (* 0 (/ 1/2 (sqr y))) (+ (* 0 (/ -1 y)) (* 0 0)))) into (- (* 1/9 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (/ 1 y))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1) (/ (pow (* 1/6 (/ 1 (sqr y))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow y 3)))) 1) 1)))) into (/ -14/81 (pow y 3)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ -1/3 y)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ -1/3 y)) 1) (pow (* 2 (/ 2/9 (sqr y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (/ -14/81 (pow y 3))) 1)) (pow 1 1)))) 6) into (/ -1/9 (pow y 3)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/9 (pow y 3))) (+ (* 0 (/ 1/6 (sqr y))) (+ (* 0 (/ -1/3 y)) (* 0 0)))) into (- (* 1/3 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (/ 1 y)) 3) 6)) (* (/ (pow (- (/ 1 y)) 1) 1) (/ (pow (* 1/2 (/ 1 (sqr y))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow y 3)))) 1) 1)))) into (/ -1 (pow y 3)) * [misc]taylor: Taking taylor expansion of (/ -1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ x (+ y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (/ x x) into 1 * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ x (+ y 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 (+ y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 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 (+ (* 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 (- 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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (sqr y))) (/ 1 y)))) into (/ 1 (pow y 3)) * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [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 0 into 0 * [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 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 y) 0) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 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 (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- 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]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 x) -1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]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)))) 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)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (+ 0 -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 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 (- 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) 0) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (/ 1 y)) -1)))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 y)) (/ (- (/ 1 y)) -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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 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 (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- 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]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (exp (* 1/3 (- (log x) (log y))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (pow (/ x y) (+ 1/3 (+ 1/3 1/3))) * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * * * * [misc]progress: [ 3 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log x) (log y))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ x y) * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ x (+ y x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (log (cbrt (/ x (+ x y)))) * [exit]simplify: Simplified to (log (cbrt (/ x (+ x y)))) * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ x (+ y x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ x (+ x y)))) * [exit]simplify: Simplified to (exp (cbrt (/ x (+ x y)))) * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt x) * [exit]simplify: Simplified to (cbrt x) * [enter]simplify: Simplifying (cbrt (/ 1 (+ y x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ x y))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ x y))) * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ x (+ (pow y 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ (cube x) (cube y)))) * [exit]simplify: Simplified to (cbrt (/ x (+ (cube x) (cube y)))) * [enter]simplify: Simplifying (cbrt (+ (sqr y) (- (sqr x) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (cbrt (+ (* y y) (* x (- x y)))) * [exit]simplify: Simplified to (cbrt (+ (* y y) (* x (- x y)))) * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ x (- (sqr y) (sqr x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ x (+ x y)) (- y x))) * [exit]simplify: Simplified to (cbrt (/ (/ x (+ x y)) (- y x))) * [enter]simplify: Simplifying (cbrt (- y x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (- y x)) * [exit]simplify: Simplified to (cbrt (- y x)) * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt x) * [exit]simplify: Simplified to (cbrt x) * [enter]simplify: Simplifying (cbrt (+ y x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ y x)) * [exit]simplify: Simplified to (cbrt (+ y x)) * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ x (+ y x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ x (+ x y)))) * [exit]simplify: Simplified to (cbrt (cbrt (/ x (+ x y)))) * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ x (+ y x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ x (+ x y)) * [exit]simplify: Simplified to (/ x (+ x y)) * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ x (+ y x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ x (+ x y)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ x (+ x y)))) * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (/ x (+ y x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (log (/ x (+ x y))) * [exit]simplify: Simplified to (log (/ x (+ x y))) * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (/ x (+ y x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (/ x (+ x y))) * [exit]simplify: Simplified to (exp (/ x (+ x y))) * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (/ x (+ y x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (/ x (+ y x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (cube (/ x (+ x y))) * [exit]simplify: Simplified to (cube (/ x (+ x y))) * * * * [misc]progress: [ 29 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (/ x (+ y x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ x (+ x y)) * [exit]simplify: Simplified to (/ x (+ x y)) * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * [enter]simplify: Simplifying (cube (cbrt (/ 1 (+ y x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ x y)) * [exit]simplify: Simplified to (/ 1 (+ x y)) * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ x (+ (pow y 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ x (+ (cube x) (cube y))) * [exit]simplify: Simplified to (/ x (+ (cube x) (cube y))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr y) (- (sqr x) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* y y) (* x (- y x))) * [exit]simplify: Simplified to (- (* y y) (* x (- y x))) * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ x (- (sqr y) (sqr x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (/ x (+ x y)) (- y x)) * [exit]simplify: Simplified to (/ (/ x (+ x y)) (- y x)) * [enter]simplify: Simplifying (cube (cbrt (- y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- y x) * [exit]simplify: Simplified to (- y x) * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (/ x (+ y x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ x (+ x y)) * [exit]simplify: Simplified to (/ x (+ x y)) * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * [enter]simplify: Simplifying (cube (cbrt (+ y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (+ y x) * [exit]simplify: Simplified to (+ y x) * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) * [exit]simplify: Simplified to (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ x (+ y x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ x y))) * [exit]simplify: Simplified to (sqrt (/ x (+ x y))) * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (/ x (+ x y))) * [exit]simplify: Simplified to (log (/ x (+ x y))) * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ x (+ x y))) * [exit]simplify: Simplified to (exp (/ x (+ x y))) * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (cube (/ x (+ x y))) * [exit]simplify: Simplified to (cube (/ x (+ x y))) * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ x y))) * [exit]simplify: Simplified to (sqrt (/ x (+ x y))) * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * [enter]simplify: Simplifying (- (+ y x)) * * [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: [ 45 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ y x)) * * [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: [ 47 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ y x) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (+ y x) x) * [exit]simplify: Simplified to (/ (+ y x) x) * * * * [misc]progress: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ x 1) * [exit]simplify: Simplified to (/ x 1) * * * * [misc]progress: [ 49 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (+ (pow y 3) (pow x 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 (/ x (+ (cube x) (cube y))) * [exit]simplify: Simplified to (/ x (+ (cube x) (cube y))) * * * * [misc]progress: [ 50 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- (sqr y) (sqr x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (/ x (* (+ x y) (- y x))) * [exit]simplify: Simplified to (/ x (* (+ x y) (- y x))) * * * [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 1) * [misc]approximate: Taking taylor expansion of (/ x (- (sqr y) (sqr x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ x (- (sqr y) (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) (sqr x)) 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]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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* x x) into (sqr x) * [misc]backup-simplify: Simplify (- (sqr x)) into (- (sqr x)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr x))) into (- (sqr x)) * [misc]backup-simplify: Simplify (/ x (- (sqr x))) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ x (- (sqr y) (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) (sqr x)) in x * [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) 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 (* y y) into (sqr y) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr y) 0) into (sqr y) * [misc]backup-simplify: Simplify (/ 1 (sqr y)) into (/ 1 (sqr y)) * [misc]taylor: Taking taylor expansion of (/ x (- (sqr y) (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) (sqr x)) in x * [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) 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 (* y y) into (sqr y) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr y) 0) into (sqr y) * [misc]backup-simplify: Simplify (/ 1 (sqr y)) into (/ 1 (sqr y)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr y)) in y * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr y)) (+ (* (/ 1 (sqr y)) (/ 0 (sqr y))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [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 0) (+ (* 0 0) (* 0 y))) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 (sqr y)) (+ (* (/ 1 (sqr y)) (/ -1 (sqr y))) (* 0 (/ 0 (sqr y))))) into (/ 1 (pow y 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 4)) in y * [misc]taylor: Taking taylor expansion of (pow y 4) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (- (sqr (/ 1 y)) (sqr (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (- (sqr (/ 1 y)) (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)) (sqr (/ 1 x))) in y * [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)) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (- (sqr (/ 1 y)) (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)) (sqr (/ 1 x))) in x * [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)) 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]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 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (- (sqr (/ 1 y)) (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)) (sqr (/ 1 x))) in x * [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)) 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]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 -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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr y)) 0) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 (sqr y)) -1)) (* 0 (/ 0 -1)))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 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]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (sqr (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (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))) (sqr (/ 1 (- x)))) in y * [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))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ -1 x) 1) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (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))) (sqr (/ 1 (- x)))) in x * [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))) 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]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 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (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))) (sqr (/ 1 (- x)))) in x * [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))) 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]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 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 y) (/ -1 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr y)) 0) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (sqr y)) -1)) (* 0 (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 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]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ x (- (sqr y) (sqr x))) (- y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (* (/ x (- (sqr y) (sqr x))) (- y x)) in y * [misc]taylor: Taking taylor expansion of (/ x (- (sqr y) (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) (sqr x)) 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]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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* x x) into (sqr x) * [misc]backup-simplify: Simplify (- (sqr x)) into (- (sqr x)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr x))) into (- (sqr x)) * [misc]backup-simplify: Simplify (/ x (- (sqr x))) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (- y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (/ x (- (sqr y) (sqr x))) (- y x)) in x * [misc]taylor: Taking taylor expansion of (/ x (- (sqr y) (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) (sqr x)) in x * [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) 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 (* y y) into (sqr y) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr y) 0) into (sqr y) * [misc]backup-simplify: Simplify (/ 1 (sqr y)) into (/ 1 (sqr y)) * [misc]taylor: Taking taylor expansion of (- y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ x (- (sqr y) (sqr x))) (- y x)) in x * [misc]taylor: Taking taylor expansion of (/ x (- (sqr y) (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) (sqr x)) in x * [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) 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 (* y y) into (sqr y) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr y) 0) into (sqr y) * [misc]backup-simplify: Simplify (/ 1 (sqr y)) into (/ 1 (sqr y)) * [misc]taylor: Taking taylor expansion of (- y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of 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 (+ y 0) into y * [misc]backup-simplify: Simplify (* (/ 1 (sqr y)) y) into (/ 1 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr y)) (+ (* (/ 1 (sqr y)) (/ 0 (sqr y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr y)) -1) (* 0 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 (+ (* 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 (- 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 (sqr y)) (+ (* (/ 1 (sqr y)) (/ -1 (sqr y))) (* 0 (/ 0 (sqr y))))) into (/ 1 (pow y 4)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr y)) 0) (+ (* 0 -1) (* (/ 1 (pow y 4)) y))) into (/ 1 (pow y 3)) * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [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 0 into 0 * [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 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (/ 1 x) (- (sqr (/ 1 y)) (sqr (/ 1 x)))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) (- (sqr (/ 1 y)) (sqr (/ 1 x)))) (- (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (- (sqr (/ 1 y)) (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)) (sqr (/ 1 x))) in y * [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)) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) (- (sqr (/ 1 y)) (sqr (/ 1 x)))) (- (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (- (sqr (/ 1 y)) (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)) (sqr (/ 1 x))) in x * [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)) 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]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 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) (- (sqr (/ 1 y)) (sqr (/ 1 x)))) (- (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (- (sqr (/ 1 y)) (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)) (sqr (/ 1 x))) in x * [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)) 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]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 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 y) 0) into (/ 1 y) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 y)) (* 0 -1)) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* (/ 1 y) (/ 0 y)))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr y)) 0) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 (sqr y)) -1)) (* 0 (/ 0 -1)))) into (- (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (/ 1 y)) (* (- (/ 1 (sqr y))) -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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 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 (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- 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]approximate: Taking taylor expansion of (* (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (sqr (/ 1 (- x))))) (- (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (sqr (/ 1 (- x))))) (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (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))) (sqr (/ 1 (- x)))) in y * [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))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ -1 x) 1) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (sqr (/ 1 (- x))))) (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (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))) (sqr (/ 1 (- x)))) in x * [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))) 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]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 -1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (sqr (/ 1 (- x))))) (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (- (sqr (/ 1 (- y))) (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))) (sqr (/ 1 (- x)))) in x * [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))) 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]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 -1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]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 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 y) 0) 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) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 y))) (* 0 1)) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ 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 (* (/ -1 y) (/ -1 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr y)) 0) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (sqr y)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 y))) (* (/ 1 (sqr y)) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 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 (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- 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]progress: [ 3 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (- (sqr y) (sqr x)) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr y) (sqr x)) in x * [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) 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) (sqr x)) 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]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) (sqr x)) 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]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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* x x) into (sqr x) * [misc]backup-simplify: Simplify (- (sqr x)) into (- (sqr x)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr x))) into (- (sqr x)) * [misc]taylor: Taking taylor expansion of (- (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) 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 x * [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 (+ (* x 0) (+ (* 0 0) (* 0 x))) 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 x * [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 (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) 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 x * [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 (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) 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 x * [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 (* x 1))) (* 1 (sqr (* 1 y)))) into (- (sqr y) (sqr x)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 y)) (sqr (/ 1 x))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 y)) (sqr (/ 1 x))) in x * [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)) 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)) (sqr (/ 1 x))) in y * [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)) 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)) (sqr (/ 1 x))) in y * [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)) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 x) (/ 1 x)) into (/ 1 (sqr x)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr x))) into (- (/ 1 (sqr x))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr x)))) into (- (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) 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 x * [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 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) 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 x * [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 y))))) (* -1 (sqr (* (/ 1 (/ 1 x)) 1)))) into (- (sqr y) (sqr x)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 (- y))) (sqr (/ 1 (- x)))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- y))) (sqr (/ 1 (- x)))) in x * [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))) 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))) (sqr (/ 1 (- x)))) in y * [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))) 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))) (sqr (/ 1 (- x)))) in y * [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))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 x) (/ -1 x)) into (/ 1 (sqr x)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr x))) into (- (/ 1 (sqr x))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr x)))) into (- (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) 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 x * [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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) 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 x * [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 (- y)))))) (* -1 (sqr (* (/ 1 (/ 1 (- x))) 1)))) into (- (sqr y) (sqr x)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (- y x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (- y x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (- y x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr x))) (- y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ x (+ x y)) * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr x))) (- y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ x (+ x y)) * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr x))) (- y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ x (+ x y)) * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ x (- (sqr y) (sqr x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log (/ (/ x (+ x y)) (- y x))) * [exit]simplify: Simplified to (log (/ (/ x (+ x y)) (- y x))) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ x (- (sqr y) (sqr x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (exp (/ (/ x (+ x y)) (- y x))) * [exit]simplify: Simplified to (exp (/ (/ x (+ x y)) (- y x))) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ x (- (sqr y) (sqr x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ x (+ x y)) (- y x))) * [exit]simplify: Simplified to (cbrt (/ (/ x (+ x y)) (- y x))) * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ x (- (sqr y) (sqr x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (cube (/ (/ x (+ x y)) (- y x))) * [exit]simplify: Simplified to (cube (/ (/ x (+ x y)) (- y x))) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ x (- (sqr y) (sqr x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ x (+ x y)) (- y x))) * [exit]simplify: Simplified to (sqrt (/ (/ x (+ x y)) (- y x))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * [enter]simplify: Simplifying (- (- (sqr y) (sqr x))) * * [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 (- (- (* y y) (sqr x))) * [exit]simplify: Simplified to (- (- (* y y) (sqr x))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqr y) (sqr x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ x y) (- y x))) * [exit]simplify: Simplified to (/ 1 (* (+ x y) (- y x))) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr y) (sqr x)) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (- y x) x) (+ x y)) * [exit]simplify: Simplified to (* (/ (- y x) x) (+ x y)) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ x 1) * [exit]simplify: Simplified to (/ x 1) * * * * [misc]progress: [ 21 / 62 ] 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)) * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ x 1) * [exit]simplify: Simplified to (/ x 1) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- (pow (sqr y) 3) (pow (sqr x) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (/ x (+ (cube y) (cube x))) (- (cube y) (cube x))) * [exit]simplify: Simplified to (/ (/ x (+ (cube y) (cube x))) (- (cube y) (cube x))) * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- (sqr (sqr y)) (sqr (sqr x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (/ x (- (sqr (sqr y)) (* (* x x) (* x x)))) * [exit]simplify: Simplified to (/ x (- (sqr (sqr y)) (* (* x x) (* x x)))) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr x))) (- y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ x (+ x y)) * [exit]simplify: Simplified to (/ x (+ x y)) * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ x (- (sqr y) (sqr x)))) (log (- y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (log (/ x (+ x y))) * [exit]simplify: Simplified to (log (/ x (+ x y))) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ x (- (sqr y) (sqr x))) (- y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (log (/ x (+ x y))) * [exit]simplify: Simplified to (log (/ x (+ x y))) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ x (- (sqr y) (sqr x))) (- y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (exp (/ x (+ x y))) * [exit]simplify: Simplified to (exp (/ x (+ x y))) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (/ x (- (sqr y) (sqr x)))) (cube (- y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (* 1 (cube (/ x (+ x y)))) * [exit]simplify: Simplified to (* 1 (cube (/ x (+ x y)))) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ x (- (sqr y) (sqr x))) (- y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (/ x (- (sqr y) (sqr x))) (- y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (cube (/ x (+ x y))) * [exit]simplify: Simplified to (cube (/ x (+ x y))) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ x (- (sqr y) (sqr x)))) (cbrt (- y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (/ x (- (sqr y) (* x x)))) (cbrt (- y x))) * [exit]simplify: Simplified to (* (cbrt (/ x (- (sqr y) (* x x)))) (cbrt (- y x))) * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ x (- (sqr y) (sqr x))) (- y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ x y))) * [exit]simplify: Simplified to (sqrt (/ x (+ x y))) * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (- (sqr y) (sqr x)))) (sqrt (- y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (/ x (- (sqr y) (* x x)))) (sqrt (- y x))) * [exit]simplify: Simplified to (* (sqrt (/ x (- (sqr y) (* x x)))) (sqrt (- y x))) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (- (pow y 3) (pow x 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 (* x (- (cube y) (cube x))) * [exit]simplify: Simplified to (* x (- (cube y) (cube x))) * [enter]simplify: Simplifying (* (- (sqr y) (sqr x)) (+ (sqr y) (+ (sqr x) (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (* (+ x y) (- y x)) (+ (* (+ x y) x) (* y y))) * [exit]simplify: Simplified to (* (* (+ x y) (- y x)) (+ (* (+ x y) x) (* y y))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (- (sqr y) (sqr x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ x y) (* x (- y x))) * [exit]simplify: Simplified to (* (+ x y) (* x (- y x))) * [enter]simplify: Simplifying (* (- (sqr y) (sqr x)) (+ y x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (- y x) (sqr (+ x y))) * [exit]simplify: Simplified to (* (- y x) (sqr (+ x y))) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr 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 (50 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (/ (* y x) (- y x)) (+ x y)) * [exit]simplify: Simplified to (/ (/ (* y x) (- y x)) (+ x y)) * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr x))) (- x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (/ x (- y x)) (/ (- x) (+ x y))) * [exit]simplify: Simplified to (* (/ x (- y x)) (/ (- x) (+ x y))) * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* y (/ x (- (sqr y) (sqr x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (/ y (- y x)) (/ x (+ y x))) * [exit]simplify: Simplified to (* (/ y (- y x)) (/ x (+ y x))) * [enter]simplify: Simplifying (* (- x) (/ x (- (sqr y) (sqr x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (- (* x x)) (- (sqr y) (* x x))) * [exit]simplify: Simplified to (/ (- (* x x)) (- (sqr y) (* x x))) * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr x))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ x (* (+ x y) (- y x))) * [exit]simplify: Simplified to (/ x (* (+ x y) (- y x))) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr x))) (- y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ x (+ x y)) * [exit]simplify: Simplified to (/ x (+ x y)) * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (- (sqr y) (sqr x))) (- y x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ 1 (+ x y)) * [exit]simplify: Simplified to (/ 1 (+ x y)) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqr (sqr y)) (+ (sqr (sqr x)) (* (sqr y) (sqr x)))) (- y x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (* y y) (- y x)) (+ (* y y) (* x x))) (* (* x x) (* (* x x) (- y x)))) * [exit]simplify: Simplified to (+ (* (* (* y y) (- y x)) (+ (* y y) (* x x))) (* (* x x) (* (* x x) (- y x)))) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqr y) (sqr x)) (- y x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (+ (sqr x) (* y y)) (- y x)) * [exit]simplify: Simplified to (* (+ (sqr x) (* y y)) (- y x)) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr x))) (- (pow y 3) (pow x 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (/ x (+ x y)) (/ (- (cube y) (cube x)) (- y x))) * [exit]simplify: Simplified to (* (/ x (+ x y)) (/ (- (cube y) (cube x)) (- y x))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (- (sqr y) (sqr x))) (- (sqr y) (sqr x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ x 1) * [exit]simplify: Simplified to (/ x 1) * * * * [misc]progress: [ 48 / 62 ] 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 (* (- y x) x) * [exit]simplify: Simplified to (* (- y x) x) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqr y)) (exp (sqr x))) * * [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 (- (* y y) (* x x))) * [exit]simplify: Simplified to (exp (- (* y y) (* x x))) * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr y) (sqr x))) * * [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 (- (* y y) (sqr x))) * [exit]simplify: Simplified to (log (- (* y y) (sqr x))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqr y) (sqr x))) * * [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) (- y x))) * [exit]simplify: Simplified to (exp (* (+ x y) (- y x))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr y) (sqr x))) * * [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 (- (* y y) (sqr x))) * [exit]simplify: Simplified to (cbrt (- (* y y) (sqr x))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqr y) (sqr x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cube (* (+ x y) (- y x))) * [exit]simplify: Simplified to (cube (* (+ x y) (- y x))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr y) (sqr x))) * * [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 (- (* y y) (sqr x))) * [exit]simplify: Simplified to (sqrt (- (* y y) (sqr x))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr y) 3) (pow (sqr x) 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 y) (cube x)) (- (cube y) (cube x))) * [exit]simplify: Simplified to (* (+ (cube y) (cube x)) (- (cube y) (cube x))) * [enter]simplify: Simplifying (+ (sqr (sqr y)) (+ (sqr (sqr x)) (* (sqr y) (sqr x)))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (+ (* (+ (* y y) (* x x)) (* y y)) (* (* x x) (* x x))) * [exit]simplify: Simplified to (+ (* (+ (* y y) (* x x)) (* y y)) (* (* x x) (* x x))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x)) * * [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 (* x (- x)) * [exit]simplify: Simplified to (* x (- x)) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr y)) (sqr (sqr x))) * * [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 (* y y)) (* (* x x) (* x x))) * [exit]simplify: Simplified to (- (sqr (* y y)) (* (* x x) (* x x))) * [enter]simplify: Simplifying (+ (sqr y) (sqr x)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (sqr x) (* y y)) * [exit]simplify: Simplified to (+ (sqr x) (* y y)) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ y x) * * [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 (- y x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (- y x) * [exit]simplify: Simplified to (- y x) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr y) (sqr x)) * * [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 (- (* y y) (sqr x)) * [exit]simplify: Simplified to (- (* y y) (sqr x)) * * * [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)) +inf.0)) , with alts (#) * [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)) * [enter]simplify: Simplifying (cbrt (/ x (+ y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * [exit]simplify: Simplified to (cbrt (/ x (+ x y))) * [enter]simplify: Simplifying (/ x (- (sqr y) (sqr x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (/ x (* (+ x y) (- y x))) * [exit]simplify: Simplified to (/ x (* (+ x y) (- y x)))