* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (cos (+ x eps)) (cos x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (+ x eps) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]taylor: Taking taylor expansion of (cos 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 (- (cos (+ x eps)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]taylor: Taking taylor expansion of (cos 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 (* (cos eps) 1) into (cos eps) * [misc]backup-simplify: Simplify (* (sin eps) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos eps) 0) into (cos eps) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos eps) -1) into (- (cos eps) 1) * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos eps) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin eps) 1) (* 0 0)) into (sin eps) * [misc]backup-simplify: Simplify (- (sin eps)) into (- (sin eps)) * [misc]backup-simplify: Simplify (+ 0 (- (sin eps))) into (- (sin eps)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (sin eps)) 0) into (- (sin eps)) * [misc]taylor: Taking taylor expansion of (- (sin eps)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos eps))) 0) into (- (* 1/2 (cos eps))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (- 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos eps))) 1/2) into (- 1/2 (* 1/2 (cos eps))) * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/2 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 1/2 -1/2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos eps) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* (sin eps) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin eps))) * [misc]backup-simplify: Simplify (- (- (* 1/6 (sin eps)))) into (* 1/6 (sin eps)) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (sin eps))) into (* 1/6 (sin eps)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (sin eps)) 0) into (* 1/6 (sin eps)) * [misc]taylor: Taking taylor expansion of (* 1/6 (sin eps)) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 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 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* (cos eps) 1/24) (+ (* 0 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1))))) into (* 1/24 (cos eps)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (cos eps)) 0) into (* 1/24 (cos eps)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (cos eps)) -1/24) into (- (* 1/24 (cos eps)) 1/24) * [misc]taylor: Taking taylor expansion of (- (* 1/24 (cos eps)) 1/24) in eps * [misc]taylor: Taking taylor expansion of (* 1/24 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/24 in eps * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/24 in eps * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (* 1/24 1) into 1/24 * [misc]backup-simplify: Simplify (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ 1/24 -1/24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (* eps (pow x 3))) (+ (* -1/2 (sqr (* eps 1))) (* -1 (* eps x)))) into (- (* 1/6 (* eps (pow x 3))) (+ (* 1/2 (sqr eps)) (* eps x))) * [misc]approximate: Taking taylor expansion of (- (cos (+ (/ 1 x) (/ 1 eps))) (cos (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 x) (/ 1 eps))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 x) (/ 1 eps))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 x) (/ 1 eps))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 eps) (/ 1 x))) (- (cos (/ 1 x)))) into (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]taylor: Taking taylor expansion of x in eps * [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 (cos (+ (/ 1 eps) (/ 1 x))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 eps) (/ 1 x))) (- (cos (/ 1 x)))) into (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) into (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 eps * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) into (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (- (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [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 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 eps) (/ 1 x)))) (- (cos (/ -1 x)))) into (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]taylor: Taking taylor expansion of x in eps * [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) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 eps) (/ 1 x)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ -1 x) in eps * [misc]taylor: Taking taylor expansion of -1 in eps * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1 x) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 eps) (/ 1 x)))) (- (cos (/ -1 x)))) into (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) into (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 eps * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) into (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (+ x eps)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (+ x eps) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 1) into (cos eps) * [misc]backup-simplify: Simplify (* (sin eps) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos eps) 0) into (cos eps) * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos eps) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin eps) 1) (* 0 0)) into (sin eps) * [misc]backup-simplify: Simplify (- (sin eps)) into (- (sin eps)) * [misc]backup-simplify: Simplify (+ 0 (- (sin eps))) into (- (sin eps)) * [misc]taylor: Taking taylor expansion of (- (sin eps)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos eps))) 0) into (- (* 1/2 (cos eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* eps x)) (+ (* -1/2 (sqr (* 1 x))) 1)) into (- 1 (+ (* 1/2 (sqr x)) (* eps x))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]taylor: Taking taylor expansion of x in eps * [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 (cos (+ (/ 1 eps) (/ 1 x))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 eps) (/ 1 x))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 eps) (/ 1 x))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [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 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]taylor: Taking taylor expansion of x in eps * [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) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 eps) (/ 1 x)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 eps) (/ 1 x)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 eps) (/ 1 x)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/6 (* eps (pow x 3))) (+ (* 1/2 (sqr eps)) (* eps x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* eps (- (* 1/6 (cube x)) (+ (* 1/2 eps) x))) * * * * [misc]progress: [ 2 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (cos (+ (/ 1 x) (/ 1 eps))) (cos (/ 1 x))) * * * * [misc]progress: [ 3 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (cos (+ (/ 1 x) (/ 1 eps))) (cos (/ -1 x))) * * * * [misc]progress: [ 4 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 (+ (* 1/2 (sqr x)) (* eps x))) (cos x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (- 1 (* (* x x) 1/2)) (+ (cos x) (* x eps))) * * * * [misc]progress: [ 5 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ (/ 1 eps) (/ 1 x))) (cos x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (cos (+ (/ 1 x) (/ 1 eps))) (cos x)) * * * * [misc]progress: [ 6 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (cos (+ (/ 1 x) (/ 1 eps))) (cos x)) * * * * [misc]progress: [ 7 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (- (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 8 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (cos (+ x eps))) (exp (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (exp (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 9 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (log (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 11 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (exp (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 12 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (cbrt (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 13 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (cos (+ x eps)) (cos 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 (cube (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (cube (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 14 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (sqrt (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 15 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cos (+ x eps)) 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (cube (cos (+ eps x))) (cube (cos x))) * [exit]simplify: Simplified to (- (cube (cos (+ eps x))) (cube (cos x))) * [enter]simplify: Simplifying (+ (sqr (cos (+ x eps))) (+ (sqr (cos x)) (* (cos (+ x eps)) (cos x)))) * * [misc]simplify: iters left: 6 (10 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 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (sqr (cos (+ eps x))) (* (cos x) (+ (cos x) (cos (+ eps x))))) * [exit]simplify: Simplified to (+ (sqr (cos (+ eps x))) (* (cos x) (+ (cos x) (cos (+ eps x))))) * * * * [misc]progress: [ 16 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos x)) * [exit]simplify: Simplified to (- (cos x)) * * * * [misc]progress: [ 17 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (cos (+ x eps))) (sqr (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (- (sqr (cos (+ eps x))) (* (cos x) (cos x))) * [exit]simplify: Simplified to (- (sqr (cos (+ eps x))) (* (cos x) (cos x))) * [enter]simplify: Simplifying (+ (cos (+ x eps)) (cos x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (cos (+ eps x)) (cos x)) * [exit]simplify: Simplified to (+ (cos (+ eps x)) (cos x)) * * * * [misc]progress: [ 19 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos (+ x eps))) (sqrt (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (cos (+ eps x))) (sqrt (cos x))) * [exit]simplify: Simplified to (+ (sqrt (cos (+ eps x))) (sqrt (cos x))) * [enter]simplify: Simplifying (- (sqrt (cos (+ x eps))) (sqrt (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (sqrt (cos (+ eps x))) (sqrt (cos x))) * [exit]simplify: Simplified to (- (sqrt (cos (+ eps x))) (sqrt (cos x))) * * * * [misc]progress: [ 20 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ x eps)) (cos x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * * * * [misc]progress: [ 21 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sin x) (sin eps)) (cos x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (* (sin eps) (sin x)) (cos x)) * [exit]simplify: Simplified to (+ (* (sin eps) (sin x)) (cos x)) * * * * [misc]progress: [ 22 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (cos x)) * [exit]simplify: Simplified to (* (cos eps) (cos x)) * [enter]simplify: Simplifying (* (sin x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (sin x)) * [exit]simplify: Simplified to (* (sin eps) (sin x)) * * * * [misc]progress: [ 23 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cos (+ eps x))) * [exit]simplify: Simplified to (log (cos (+ eps x))) * * * * [misc]progress: [ 25 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cos (+ eps x))) * [exit]simplify: Simplified to (exp (cos (+ eps x))) * * * * [misc]progress: [ 26 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (+ eps x))) * [exit]simplify: Simplified to (cbrt (cos (+ eps x))) * * * * [misc]progress: [ 27 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cos (+ x eps))) * * [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 (cube (cos (+ eps x))) * [exit]simplify: Simplified to (cube (cos (+ eps x))) * * * * [misc]progress: [ 28 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ eps x))) * [exit]simplify: Simplified to (sqrt (cos (+ eps x))) * * * * [misc]progress: [ 29 / 29 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]taylor: Taking taylor expansion of (sin 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos x) 1/2) (* 0 0)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin x))) 0) into (- (* 1/8 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/8 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin 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 (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos x)))) into (- (* 1/48 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/48 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 eps) 3)) (+ (* 1 (* x 1)) (* 1/2 (* 1 eps)))) into (- (+ (* 1/2 eps) x) (* 1/48 (pow eps 3))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [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]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]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 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [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]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]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 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) 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 (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos x) 1/2) (* 0 0)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (cos x))) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin 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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin x))) 0) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (sin x)))) (+ (* 1/2 (* 1/2 (cos x))) (* 0 (sin x)))) into (* 1/4 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/4 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos x)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/48 (cos x)))) (+ (* 1/2 (- (* 1/8 (sin x)))) (+ (* 0 (* 1/2 (cos x))) (* (- 1/48) (sin x))))) into (- (* 1/12 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (sin 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 (* 1/12 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 (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/384) (+ (* 0 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1))))) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/384 (sin x)) 0) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/384 (sin x))) (+ (* 1/2 (- (* 1/48 (cos x)))) (+ (* 0 (- (* 1/8 (sin x)))) (+ (* (- 1/48) (* 1/2 (cos x))) (* 0 (sin x)))))) into (- (* 1/48 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/48 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 eps) 4)) (+ (* 1/2 (* x eps)) (* 1/4 (sqr (* 1 eps))))) into (- (+ (* 1/2 (* eps x)) (* 1/4 (sqr eps))) (* 1/48 (pow eps 4))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) 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 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) 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 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) into 0 * [misc]backup-simplify: Simplify (* -2 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 (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos x) 1/2) (* 0 0)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (cos x))) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 (sin x))) (* 0 0)) into (- (sin x)) * [misc]taylor: Taking taylor expansion of (- (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin x))) 0) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (sin x)))) (+ (* 1/2 (* 1/2 (cos x))) (* 0 (sin x)))) into (* 1/4 (cos x)) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/4 (cos x))) (+ (* 0 (* 1/2 (sin x))) (* 0 0))) into (- (* 1/2 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 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 (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos x)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/48 (cos x)))) (+ (* 1/2 (- (* 1/8 (sin x)))) (+ (* 0 (* 1/2 (cos x))) (* (- 1/48) (sin x))))) into (- (* 1/12 (sin x))) * [misc]backup-simplify: Simplify (+ (* -2 (- (* 1/12 (sin x)))) (+ (* 0 (* 1/4 (cos x))) (+ (* 0 (* 1/2 (sin x))) (* 0 0)))) into (* 1/6 (sin x)) * [misc]taylor: Taking taylor expansion of (* 1/6 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin 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 (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 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 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/384) (+ (* 0 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1))))) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/384 (sin x)) 0) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/384 (sin x))) (+ (* 1/2 (- (* 1/48 (cos x)))) (+ (* 0 (- (* 1/8 (sin x)))) (+ (* (- 1/48) (* 1/2 (cos x))) (* 0 (sin x)))))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (+ (* -2 (- (* 1/48 (cos x)))) (+ (* 0 (- (* 1/12 (sin x)))) (+ (* 0 (* 1/4 (cos x))) (+ (* 0 (* 1/2 (sin x))) (* 0 0))))) into (* 1/24 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/24 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/24 1) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow (* 1 eps) 4)) (+ (* -1 (* x eps)) (* -1/2 (sqr (* 1 eps))))) into (- (* 1/24 (pow eps 4)) (+ (* eps x) (* 1/2 (sqr eps)))) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) 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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) 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 (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) 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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) 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 (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ eps 2)) (- (+ (* 1/2 eps) x) (* 1/48 (pow eps 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (- (+ x (* 1/2 eps)) (* (cube eps) 1/48)) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 2 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ eps 2)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (sin (+ (/ 1/2 x) (+ (/ 1/2 eps) (/ 1/2 x)))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 3 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ eps 2)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (sin (+ (/ -1/2 x) (+ (/ -1/2 eps) (/ -1/2 x)))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 4 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (- (+ (* 1/2 (* eps x)) (* 1/4 (sqr eps))) (* 1/48 (pow eps 4)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (- (* eps (+ (* x 1/2) (* eps 1/4))) (* (pow eps 4) 1/48)) -2) * * * * [misc]progress: [ 5 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (sin (+ (/ 1/2 x) (+ (/ 1/2 eps) (/ 1/2 x)))) (* -2 (sin (/ 1/2 eps)))) * * * * [misc]progress: [ 6 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (* (sin (/ -1/2 eps)) -2) (sin (+ (/ -1/2 x) (+ (/ -1/2 eps) (/ -1/2 x))))) * * * * [misc]progress: [ 7 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/24 (pow eps 4)) (+ (* eps x) (* 1/2 (sqr eps)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- (* (pow eps 4) 1/24) (* eps (+ x (* 1/2 eps)))) * * * * [misc]progress: [ 8 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (sin (+ (/ 1/2 x) (+ (/ 1/2 eps) (/ 1/2 x)))) (* -2 (sin (/ 1/2 eps)))) * * * * [misc]progress: [ 9 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (* (sin (/ -1/2 eps)) -2) (sin (+ (/ -1/2 x) (+ (/ -1/2 eps) (/ -1/2 x))))) * * * * [misc]progress: [ 10 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (log (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 12 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (exp (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 13 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 14 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cube (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cube (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 15 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 16 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (cos (- (/ eps 2) (/ (+ (+ x x) eps) 2))) (cos (+ (/ eps 2) (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (- (cos (- (/ eps 2) (/ (+ (+ x x) eps) 2))) (cos (+ (/ eps 2) (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 18 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 19 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (sin (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (sin (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 21 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (log (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2)))) * [exit]simplify: Simplified to (log (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2)))) * * * * [misc]progress: [ 22 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (sin (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 23 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sin (/ eps 2))) (cube (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (cube (sin (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cube (sin (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * * * * [misc]progress: [ 24 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * [exit]simplify: Simplified to (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * * * * [misc]progress: [ 25 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (cube (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2)))) * [exit]simplify: Simplified to (cube (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2)))) * * * * [misc]progress: [ 26 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 27 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * [exit]simplify: Simplified to (sqrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * * * * [misc]progress: [ 28 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (sqrt (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (/ (+ (+ x x) eps) 2))) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sqrt (sin (/ (+ (+ x x) eps) 2))) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 29 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 31 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 32 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * [exit]simplify: Simplified to (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * * * * [misc]progress: [ 35 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (exp (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (exp (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 36 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ x (+ eps x)) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ x (+ eps x)) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 37 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (cube (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (cube (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 38 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ x (+ eps x)) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ x (+ eps x)) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 39 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (sin (/ eps 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * * * * [misc]progress: [ 41 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (- (cos (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (- (cos (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (cos (+ (/ eps 2) (/ (+ x (+ eps x)) 2)))) -2) * [exit]simplify: Simplified to (* (- (cos (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (cos (+ (/ eps 2) (/ (+ x (+ eps x)) 2)))) -2) * * * * [misc]progress: [ 42 / 42 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]taylor: Taking taylor expansion of (sin 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos x) 1/2) (* 0 0)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin x))) 0) into (- (* 1/8 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/8 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin 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 (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos x)))) into (- (* 1/48 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/48 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 eps) 3)) (+ (* 1 (* x 1)) (* 1/2 (* 1 eps)))) into (- (+ (* 1/2 eps) x) (* 1/48 (pow eps 3))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [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]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]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 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [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]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]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 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in x * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) 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 (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) into (sqr (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (sqr (sin (* 1/2 eps)))) into (* -2 (sqr (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (sqr (sin (* 1/2 eps))))) into (log (* -2 (sqr (sin (* 1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (sqr (sin (* 1/2 eps)))))) into (* 1/3 (log (* -2 (sqr (sin (* 1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (sqr (sin (* 1/2 eps))))))) into (pow (* -2 (sqr (sin (* 1/2 eps)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos x) 1/2) (* 0 0)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (cos x))) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 (sin x))) (* 0 0)) into (- (sin x)) * [misc]backup-simplify: Simplify (log (- (sin x))) into (log (- (sin x))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log (- (sin x)))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log eps) (log (- (sin x))))) into (* 1/3 (+ (log eps) (log (- (sin x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) into (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos x) 1/2) (* 0 0)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (cos x))) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 (sin x))) (* 0 0)) into (- (sin x)) * [misc]backup-simplify: Simplify (log (- (sin x))) into (log (- (sin x))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log (- (sin x)))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log eps) (log (- (sin x))))) into (* 1/3 (+ (log eps) (log (- (sin x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) into (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log eps) (log (- (sin 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 eps) (log (- (sin x)))) in x * [misc]taylor: Taking taylor expansion of (log eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (log eps) into (log eps) * [misc]taylor: Taking taylor expansion of (log (- (sin x))) in x * [misc]taylor: Taking taylor expansion of (- (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (log eps) (+ (log -1) (log x))) into (+ (log eps) (+ (log -1) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log eps) (+ (log -1) (log x)))) into (* 1/3 (+ (log eps) (+ (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) into (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) into (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin x))) 0) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (sin x)))) (+ (* 1/2 (* 1/2 (cos x))) (* 0 (sin x)))) into (* 1/4 (cos x)) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/4 (cos x))) (+ (* 0 (* 1/2 (sin x))) (* 0 0))) into (- (* 1/2 (cos x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (cos x)))) 1)) (pow (- (sin x)) 1)))) 1) into (* 1/2 (/ (cos x) (sin x))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log (- (sin x)))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (/ (cos x) (sin x)))) (* 0 (+ (log eps) (log (- (sin x)))))) into (* 1/6 (/ (cos x) (sin x))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (+ (* (/ (pow (* 1/6 (/ (cos x) (sin x))) 1) 1)))) into (* 1/6 (/ (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (cos x)) (sin x))) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (cos x)) (sin x))) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (cos x)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (cos x)) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log eps) (log (- (sin 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 eps) (log (- (sin x)))) in x * [misc]taylor: Taking taylor expansion of (log eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (log eps) into (log eps) * [misc]taylor: Taking taylor expansion of (log (- (sin x))) in x * [misc]taylor: Taking taylor expansion of (- (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (log eps) (+ (log -1) (log x))) into (+ (log eps) (+ (log -1) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log eps) (+ (log -1) (log x)))) into (* 1/3 (+ (log eps) (+ (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) into (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (cos 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 (sin 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 (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) 1) into (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) 1) into (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow eps 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log eps) (+ (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow eps 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log eps) (+ (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos x)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/48 (cos x)))) (+ (* 1/2 (- (* 1/8 (sin x)))) (+ (* 0 (* 1/2 (cos x))) (* (- 1/48) (sin x))))) into (- (* 1/12 (sin x))) * [misc]backup-simplify: Simplify (+ (* -2 (- (* 1/12 (sin x)))) (+ (* 0 (* 1/4 (cos x))) (+ (* 0 (* 1/2 (sin x))) (* 0 0)))) into (* 1/6 (sin x)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (cos x)))) 2)) (pow (- (sin x)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (sin x))) 1)) (pow (- (sin x)) 1)))) 2) into (* -1/2 (+ (* 1/4 (/ (sqr (cos x)) (sqr (sin x)))) 1/3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log (- (sin x)))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 1/4 (/ (sqr (cos x)) (sqr (sin x)))) 1/3))) (+ (* 0 (* 1/2 (/ (cos x) (sin x)))) (* 0 (+ (log eps) (log (- (sin x))))))) into (- (+ (* 1/24 (/ (sqr (cos x)) (sqr (sin x)))) 1/18)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (+ (* (/ (pow (* 1/6 (/ (cos x) (sin x))) 2) 2)) (* (/ (pow (- (+ (* 1/24 (/ (sqr (cos x)) (sqr (sin x)))) 1/18)) 1) 1)))) into (* -1 (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (+ (* 1/36 (/ (sqr (cos x)) (sqr (sin x)))) 1/18))) * [misc]taylor: Taking taylor expansion of (* -1 (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (+ (* 1/36 (/ (sqr (cos x)) (sqr (sin x)))) 1/18))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (+ (* 1/36 (/ (sqr (cos x)) (sqr (sin x)))) 1/18)) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log eps) (log (- (sin 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 eps) (log (- (sin x)))) in x * [misc]taylor: Taking taylor expansion of (log eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (log eps) into (log eps) * [misc]taylor: Taking taylor expansion of (log (- (sin x))) in x * [misc]taylor: Taking taylor expansion of (- (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (log eps) (+ (log -1) (log x))) into (+ (log eps) (+ (log -1) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log eps) (+ (log -1) (log x)))) into (* 1/3 (+ (log eps) (+ (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) into (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/36 (/ (sqr (cos x)) (sqr (sin x)))) 1/18) in x * [misc]taylor: Taking taylor expansion of (* 1/36 (/ (sqr (cos x)) (sqr (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/36 in x * [misc]backup-simplify: Simplify 1/36 into 1/36 * [misc]taylor: Taking taylor expansion of (/ (sqr (cos x)) (sqr (sin x))) in x * [misc]taylor: Taking taylor expansion of (sqr (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos 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 (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/18 in x * [misc]backup-simplify: Simplify 1/18 into 1/18 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* (- 1/2) 1))) into -1 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into -2/3 * [misc]backup-simplify: Simplify (+ (* 1/36 -2/3) (+ (* 0 0) (* 0 1))) into -1/54 * [misc]backup-simplify: Simplify (+ -1/54 1/18) into 1/27 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow eps 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log eps) (+ (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/36 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow eps 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow eps 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow -1 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/6) (+ (* 0 0) (* 0 (+ (log eps) (+ (log -1) (log x)))))) into (- 1/18) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -1/18 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x)))))) * [misc]backup-simplify: Simplify (* 1/36 1) into 1/36 * [misc]backup-simplify: Simplify (+ 1/36 0) into 1/36 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) 1/27) (+ (* 0 0) (* (* -1/18 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x)))))) 1/36))) into (* 23/648 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) 0) (* 0 1/36)) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) 1/36) into (* 1/36 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (* -1 (* 23/648 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) (+ (* 0 0) (* 0 (* 1/36 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))))) into (- (* 23/648 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) * [misc]backup-simplify: Simplify (- (* 23/648 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) into (- (* 23/648 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow eps 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow eps 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow -1 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/6) (+ (* 0 0) (* 0 (+ (log eps) (+ (log -1) (log x)))))) into (- 1/18) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -1/18 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (- 1/2)) (+ (* 0 0) (* (* -1/18 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x)))))) 1))) into (- (* 5/9 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- (* 5/9 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) 1) (+ (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into (- (* 7/18 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) * [misc]backup-simplify: Simplify (+ (* 1/6 (- (* 7/18 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x)))))))) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x)))))))) into (- (* 7/108 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) * [misc]backup-simplify: Simplify (- (* 7/108 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) into (- (* 7/108 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/108 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) (* x eps)) (+ (* (- (* 23/648 (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) (sqr (* 1 eps))) (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))) into (- (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (+ (* 7/108 (* eps (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) x))) (* 23/648 (* (sqr eps) (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))))))) * [misc]approximate: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in x * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) 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 (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 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 (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]backup-simplify: Simplify (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in x * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) 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 (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) 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 (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * [misc]backup-simplify: Simplify (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) 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 (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in x * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) 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 (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) into (sqr (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (sqr (sin (* 1/2 eps)))) into (* -2 (sqr (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (sqr (sin (* 1/2 eps))))) into (log (* -2 (sqr (sin (* 1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (sqr (sin (* 1/2 eps)))))) into (* 1/3 (log (* -2 (sqr (sin (* 1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (sqr (sin (* 1/2 eps))))))) into (pow (* -2 (sqr (sin (* 1/2 eps)))) 1/3) * [misc]backup-simplify: Simplify (log (pow (* -2 (sqr (sin (* 1/2 eps)))) 1/3)) into (log (pow (* -2 (sqr (sin (* 1/2 eps)))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -2 (sqr (sin (* 1/2 eps)))) 1/3))) into (* 3 (log (pow (* -2 (sqr (sin (* 1/2 eps)))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -2 (sqr (sin (* 1/2 eps)))) 1/3)))) into (pow (pow (* -2 (sqr (sin (* 1/2 eps)))) 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in eps * [misc]taylor: Rewrote expression to (pow (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) in eps * [misc]taylor: Taking taylor expansion of 3 in eps * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in eps * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos x) 1/2) (* 0 0)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (cos x))) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 (sin x))) (* 0 0)) into (- (sin x)) * [misc]backup-simplify: Simplify (log (- (sin x))) into (log (- (sin x))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log (- (sin x)))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log eps) (log (- (sin x))))) into (* 1/3 (+ (log eps) (log (- (sin x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) into (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log eps) (log (- (sin x))))))) into (* 1/3 (+ (log eps) (log (- (sin x))))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log eps) (log (- (sin x)))))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (exp (+ (log eps) (log (- (sin x))))) into (exp (+ (log eps) (log (- (sin x))))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in eps * [misc]taylor: Rewrote expression to (pow (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) in eps * [misc]taylor: Taking taylor expansion of 3 in eps * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in eps * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos x) 1/2) (* 0 0)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (cos x))) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 (sin x))) (* 0 0)) into (- (sin x)) * [misc]backup-simplify: Simplify (log (- (sin x))) into (log (- (sin x))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log (- (sin x)))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log eps) (log (- (sin x))))) into (* 1/3 (+ (log eps) (log (- (sin x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) into (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log eps) (log (- (sin x))))))) into (* 1/3 (+ (log eps) (log (- (sin x))))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log eps) (log (- (sin x)))))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (exp (+ (log eps) (log (- (sin x))))) into (exp (+ (log eps) (log (- (sin x))))) * [misc]taylor: Taking taylor expansion of (exp (+ (log eps) (log (- (sin x))))) in x * [misc]taylor: Taking taylor expansion of (+ (log eps) (log (- (sin x)))) in x * [misc]taylor: Taking taylor expansion of (log eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (log eps) into (log eps) * [misc]taylor: Taking taylor expansion of (log (- (sin x))) in x * [misc]taylor: Taking taylor expansion of (- (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (log eps) (+ (log -1) (log x))) into (+ (log eps) (+ (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log eps) (+ (log -1) (log x)))) into (exp (+ (log eps) (+ (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (+ (log eps) (+ (log -1) (log x)))) into (exp (+ (log eps) (+ (log -1) (log x)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin x))) 0) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (sin x)))) (+ (* 1/2 (* 1/2 (cos x))) (* 0 (sin x)))) into (* 1/4 (cos x)) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/4 (cos x))) (+ (* 0 (* 1/2 (sin x))) (* 0 0))) into (- (* 1/2 (cos x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (cos x)))) 1)) (pow (- (sin x)) 1)))) 1) into (* 1/2 (/ (cos x) (sin x))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log (- (sin x)))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (/ (cos x) (sin x)))) (* 0 (+ (log eps) (log (- (sin x)))))) into (* 1/6 (/ (cos x) (sin x))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (+ (* (/ (pow (* 1/6 (/ (cos x) (sin x))) 1) 1)))) into (* 1/6 (/ (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (cos x)) (sin x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/6 (/ (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (cos x)) (sin x)))) 1)) (pow (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) 1)))) 1) into (* 1/6 (/ (cos x) (sin x))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/6 (/ (cos x) (sin x)))) (* 0 (* 1/3 (+ (log eps) (log (- (sin x))))))) into (* 1/2 (/ (cos x) (sin x))) * [misc]backup-simplify: Simplify (* (exp (+ (log eps) (log (- (sin x))))) (+ (* (/ (pow (* 1/2 (/ (cos x) (sin x))) 1) 1)))) into (* 1/2 (/ (* (exp (+ (log eps) (log (- (sin x))))) (cos x)) (sin x))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (exp (+ (log eps) (log (- (sin x))))) (cos x)) (sin x))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (exp (+ (log eps) (log (- (sin x))))) (cos x)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (* (exp (+ (log eps) (log (- (sin x))))) (cos x)) in x * [misc]taylor: Taking taylor expansion of (exp (+ (log eps) (log (- (sin x))))) in x * [misc]taylor: Taking taylor expansion of (+ (log eps) (log (- (sin x)))) in x * [misc]taylor: Taking taylor expansion of (log eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (log eps) into (log eps) * [misc]taylor: Taking taylor expansion of (log (- (sin x))) in x * [misc]taylor: Taking taylor expansion of (- (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (log eps) (+ (log -1) (log x))) into (+ (log eps) (+ (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log eps) (+ (log -1) (log x)))) into (exp (+ (log eps) (+ (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cos 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 (sin 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 (* (exp (+ (log eps) (+ (log -1) (log x)))) 1) into (exp (+ (log eps) (+ (log -1) (log x)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ (exp (+ (log eps) (+ (log -1) (log x)))) 1) into (exp (+ (log eps) (+ (log -1) (log x)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow eps 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log eps) (+ (log -1) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (+ (log eps) (+ (log -1) (log x)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log eps) (+ (log -1) (log x)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (+ (log eps) (+ (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow eps 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log eps) (+ (log -1) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos x)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/48 (cos x)))) (+ (* 1/2 (- (* 1/8 (sin x)))) (+ (* 0 (* 1/2 (cos x))) (* (- 1/48) (sin x))))) into (- (* 1/12 (sin x))) * [misc]backup-simplify: Simplify (+ (* -2 (- (* 1/12 (sin x)))) (+ (* 0 (* 1/4 (cos x))) (+ (* 0 (* 1/2 (sin x))) (* 0 0)))) into (* 1/6 (sin x)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (cos x)))) 2)) (pow (- (sin x)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (sin x))) 1)) (pow (- (sin x)) 1)))) 2) into (* -1/2 (+ (* 1/4 (/ (sqr (cos x)) (sqr (sin x)))) 1/3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log (- (sin x)))) into (+ (log eps) (log (- (sin x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 1/4 (/ (sqr (cos x)) (sqr (sin x)))) 1/3))) (+ (* 0 (* 1/2 (/ (cos x) (sin x)))) (* 0 (+ (log eps) (log (- (sin x))))))) into (- (+ (* 1/24 (/ (sqr (cos x)) (sqr (sin x)))) 1/18)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (+ (* (/ (pow (* 1/6 (/ (cos x) (sin x))) 2) 2)) (* (/ (pow (- (+ (* 1/24 (/ (sqr (cos x)) (sqr (sin x)))) 1/18)) 1) 1)))) into (* -1 (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (+ (* 1/36 (/ (sqr (cos x)) (sqr (sin x)))) 1/18))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/6 (/ (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (cos x)) (sin x)))) 2)) (pow (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) (+ (* 1/36 (/ (sqr (cos x)) (sqr (sin x)))) 1/18)))) 1)) (pow (exp (* 1/3 (+ (log eps) (log (- (sin x)))))) 1)))) 2) into (* -1/2 (+ (* 1/12 (/ (sqr (cos x)) (sqr (sin x)))) 1/9)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (* 1/12 (/ (sqr (cos x)) (sqr (sin x)))) 1/9))) (+ (* 0 (* 1/6 (/ (cos x) (sin x)))) (* 0 (* 1/3 (+ (log eps) (log (- (sin x)))))))) into (- (+ (* 1/8 (/ (sqr (cos x)) (sqr (sin x)))) 1/6)) * [misc]backup-simplify: Simplify (* (exp (+ (log eps) (log (- (sin x))))) (+ (* (/ (pow (* 1/2 (/ (cos x) (sin x))) 2) 2)) (* (/ (pow (- (+ (* 1/8 (/ (sqr (cos x)) (sqr (sin x)))) 1/6)) 1) 1)))) into (* -1/6 (exp (+ (log eps) (log (- (sin x)))))) * [misc]taylor: Taking taylor expansion of (* -1/6 (exp (+ (log eps) (log (- (sin x)))))) in x * [misc]taylor: Taking taylor expansion of -1/6 in x * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]taylor: Taking taylor expansion of (exp (+ (log eps) (log (- (sin x))))) in x * [misc]taylor: Taking taylor expansion of (+ (log eps) (log (- (sin x)))) in x * [misc]taylor: Taking taylor expansion of (log eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (log eps) into (log eps) * [misc]taylor: Taking taylor expansion of (log (- (sin x))) in x * [misc]taylor: Taking taylor expansion of (- (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -1)) into (+ (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (log eps) (+ (log -1) (log x))) into (+ (log eps) (+ (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log eps) (+ (log -1) (log x)))) into (exp (+ (log eps) (+ (log -1) (log x)))) * [misc]backup-simplify: Simplify (* -1/6 (exp (+ (log eps) (+ (log -1) (log x))))) into (* -1/6 (exp (+ (log eps) (+ (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/6 (exp (+ (log eps) (+ (log -1) (log x))))) into (* -1/6 (exp (+ (log eps) (+ (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow eps 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow eps 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow -1 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (* (exp (+ (log eps) (+ (log -1) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/6 (exp (+ (log eps) (+ (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (log eps) (+ (log -1) (log x)))) (- 1/2)) (+ (* 0 0) (* (* -1/6 (exp (+ (log eps) (+ (log -1) (log x))))) 1))) into (- (* 2/3 (exp (+ (log eps) (+ (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- (* 2/3 (exp (+ (log eps) (+ (log -1) (log x)))))) 1) (+ (* (exp (+ (log eps) (+ (log -1) (log x)))) (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (exp (+ (log eps) (+ (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (exp (+ (log eps) (+ (log -1) (log x))))))) (+ (* 0 0) (* 0 (exp (+ (log eps) (+ (log -1) (log x))))))) into (- (* 1/4 (exp (+ (log eps) (+ (log -1) (log x)))))) * [misc]backup-simplify: Simplify (- (* 1/4 (exp (+ (log eps) (+ (log -1) (log x)))))) into (- (* 1/4 (exp (+ (log eps) (+ (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (exp (+ (log eps) (+ (log -1) (log x)))))) (* x eps)) (+ (* (* -1/6 (exp (+ (log eps) (+ (log -1) (log x))))) (sqr (* 1 eps))) (exp (+ (log eps) (+ (log -1) (log x)))))) into (- (exp (+ (log eps) (+ (log -1) (log x)))) (+ (* 1/6 (* (sqr eps) (exp (+ (log eps) (+ (log -1) (log x)))))) (* 1/4 (* eps (* (exp (+ (log eps) (+ (log -1) (log x)))) x))))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))))) 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 (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in x * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) 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 (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]backup-simplify: Simplify (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) into (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))) into (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) into (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in eps * [misc]taylor: Rewrote expression to (pow (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of 3 in eps * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]backup-simplify: Simplify (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) into (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))) into (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) into (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in eps * [misc]taylor: Rewrote expression to (pow (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of 3 in eps * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]backup-simplify: Simplify (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) into (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))) into (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) into (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) * [misc]taylor: Taking taylor expansion of (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))) 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 (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) in x * [misc]taylor: Taking taylor expansion of (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 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 (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) * [misc]backup-simplify: Simplify (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) into (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))) into (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) into (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) * [misc]backup-simplify: Simplify (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) into (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) into (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))))) 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 (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in x * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) 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 (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * [misc]backup-simplify: Simplify (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) into (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))) into (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) into (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in eps * [misc]taylor: Rewrote expression to (pow (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of 3 in eps * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * [misc]backup-simplify: Simplify (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) into (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))) into (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) into (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in eps * [misc]taylor: Rewrote expression to (pow (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of 3 in eps * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Rewrote expression to (pow (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * [misc]backup-simplify: Simplify (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) into (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))) into (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) into (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) * [misc]taylor: Taking taylor expansion of (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))) 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 (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) in x * [misc]taylor: Taking taylor expansion of (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) 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 (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) in x * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) * [misc]backup-simplify: Simplify (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) into (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))) into (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) into (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) * [misc]backup-simplify: Simplify (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) into (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) into (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) 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 (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos x) 1/2) (* 0 0)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (cos x))) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin 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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin x))) 0) into (- (* 1/8 (sin x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (sin x)))) (+ (* 1/2 (* 1/2 (cos x))) (* 0 (sin x)))) into (* 1/4 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/4 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos x)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/48 (cos x)))) (+ (* 1/2 (- (* 1/8 (sin x)))) (+ (* 0 (* 1/2 (cos x))) (* (- 1/48) (sin x))))) into (- (* 1/12 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (sin 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 (* 1/12 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 (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/384) (+ (* 0 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1))))) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/384 (sin x)) 0) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/384 (sin x))) (+ (* 1/2 (- (* 1/48 (cos x)))) (+ (* 0 (- (* 1/8 (sin x)))) (+ (* (- 1/48) (* 1/2 (cos x))) (* 0 (sin x)))))) into (- (* 1/48 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/48 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 eps) 4)) (+ (* 1/2 (* x eps)) (* 1/4 (sqr (* 1 eps))))) into (- (+ (* 1/2 (* eps x)) (* 1/4 (sqr eps))) (* 1/48 (pow eps 4))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) 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 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) 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 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -2 (* (sin (/ eps 2)) (- (+ (* 1/2 eps) x) (* 1/48 (pow eps 3))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (- (+ x (* 1/2 eps)) (* (* 1/48 eps) (sqr eps))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 2 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (+ (/ 1/2 x) (+ (/ 1/2 x) (/ 1/2 eps))))) * * * * [misc]progress: [ 3 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (+ (/ -1/2 x) (+ (/ -1/2 x) (/ -1/2 eps))))) * * * * [misc]progress: [ 4 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) (+ (* 7/108 (* eps (* (exp (* 1/3 (+ (log eps) (+ (log -1) (log x))))) x))) (* 23/648 (* (sqr eps) (exp (* 1/3 (+ (log eps) (+ (log -1) (log x)))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (cube (- (cbrt (* (- eps) x)) (* eps (* (cbrt (* (- eps) x)) (+ (* 7/108 x) (* eps 23/648)))))) * * * * [misc]progress: [ 5 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (sin (+ (/ 1/2 x) (+ (/ 1/2 x) (/ 1/2 eps)))) (* -2 (sin (/ 1/2 eps)))) * * * * [misc]progress: [ 6 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (* (sin (/ -1/2 eps)) -2) (sin (+ (/ -1/2 x) (+ (/ -1/2 eps) (/ -1/2 x))))) * * * * [misc]progress: [ 7 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (+ (log eps) (+ (log -1) (log x)))) (+ (* 1/6 (* (sqr eps) (exp (+ (log eps) (+ (log -1) (log x)))))) (* 1/4 (* eps (* (exp (+ (log eps) (+ (log -1) (log x)))) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (- (* (- eps) x) (* (* (- eps) x) (+ (* (* eps eps) 1/6) (* (* x 1/4) eps)))) * * * * [misc]progress: [ 8 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 1/3) 3) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (sin (+ (+ (/ 1/2 eps) (/ 1/2 x)) (/ 1/2 x))) (* -2 (sin (/ 1/2 eps)))) * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) 1/3) 3) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (* (sin (/ -1/2 eps)) -2) (sin (+ (+ (/ -1/2 eps) (/ -1/2 x)) (/ -1/2 x)))) * * * * [misc]progress: [ 10 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -2 (- (+ (* 1/2 (* eps x)) (* 1/4 (sqr eps))) (* 1/48 (pow eps 4)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (- (* (+ (* eps 1/4) (* x 1/2)) eps) (* (pow eps 4) 1/48)) -2) * * * * [misc]progress: [ 11 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ 1/2 eps))) (sin (+ (/ 1/2 x) (+ (/ 1/2 x) (/ 1/2 eps))))) * * * * [misc]progress: [ 12 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sin (+ (/ -1/2 x) (+ (/ -1/2 x) (/ -1/2 eps)))) (* (sin (/ -1/2 eps)) -2)) * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (log (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 15 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (exp (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 17 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cube (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cube (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 19 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (log (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * [exit]simplify: Simplified to (log (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * * * * [misc]progress: [ 23 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * [exit]simplify: Simplified to (exp (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * * * * [misc]progress: [ 24 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt -2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt -2) * [exit]simplify: Simplified to (cbrt -2) * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * [exit]simplify: Simplified to (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * * * * [misc]progress: [ 25 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* -2 (- (cos (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (* (- (cos (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))) -2)) * [exit]simplify: Simplified to (cbrt (* (- (cos (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))) -2)) * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * [exit]simplify: Simplified to (cbrt (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * * * * [misc]progress: [ 27 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))) * * * * [misc]progress: [ 28 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * [exit]simplify: Simplified to (sqrt (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * * * * [misc]progress: [ 29 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * [exit]simplify: Simplified to (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * * * * [misc]progress: [ 33 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (exp (* (sin (/ (+ (+ eps x) x) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (exp (* (sin (/ (+ (+ eps x) x) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 34 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * [exit]simplify: Simplified to (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * * * * [misc]progress: [ 35 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (cube (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * [exit]simplify: Simplified to (cube (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt -2)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -2 * [exit]simplify: Simplified to -2 * [enter]simplify: Simplifying (cube (cbrt (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 37 / 57 ] 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 (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))) * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -2 (- (cos (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (- (cos (- (/ eps 2) (/ (+ (+ eps x) x) 2))) (cos (+ (/ eps 2) (/ (+ (+ eps x) x) 2)))) -2) * [exit]simplify: Simplified to (* (- (cos (- (/ eps 2) (/ (+ (+ eps x) x) 2))) (cos (+ (/ eps 2) (/ (+ (+ eps x) x) 2)))) -2) * [enter]simplify: Simplifying (cube (cbrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 39 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))))) * [exit]simplify: Simplified to (* (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]progress: [ 40 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * [exit]simplify: Simplified to (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * * * * [misc]progress: [ 41 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (cos (- (/ eps 2) (/ (+ (+ x x) eps) 2))) (cos (+ (/ eps 2) (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (- (cos (- (/ eps 2) (/ (+ (+ x x) eps) 2))) (cos (+ (/ eps 2) (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 44 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (sin (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (sin (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 46 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (log (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2)))) * [exit]simplify: Simplified to (log (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2)))) * * * * [misc]progress: [ 47 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (sin (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 48 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sin (/ eps 2))) (cube (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (cube (sin (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cube (sin (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * * * * [misc]progress: [ 49 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * [exit]simplify: Simplified to (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * * * * [misc]progress: [ 50 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (cube (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2)))) * [exit]simplify: Simplified to (cube (* (sin (/ eps 2)) (sin (/ (+ x (+ x eps)) 2)))) * * * * [misc]progress: [ 51 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 52 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * [exit]simplify: Simplified to (sqrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) * * * * [misc]progress: [ 53 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (sqrt (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (/ (+ (+ x x) eps) 2))) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sqrt (sin (/ (+ (+ x x) eps) 2))) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 54 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 56 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 57 / 57 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 eps -8.786347343699343e-16) #s(sp 1 eps 3.94735216048035e-08) #s(sp 0 eps +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 eps -8.786347343699343e-16)) (#s(sp 1 eps 3.94735216048035e-08) . #s(sp 0 eps +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 eps -8.786347343699343e-16) . #s(sp 1 eps 3.94735216048035e-08))) * [enter]simplify: Simplifying (sin (/ eps 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * [enter]simplify: Simplifying (sin (/ (+ eps (+ x x)) 2)) * * [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 (sin (/ (+ eps (+ x x)) 2)) * [exit]simplify: Simplified to (sin (/ (+ eps (+ x x)) 2)) * [enter]simplify: Simplifying (cube (- (cos (+ x eps)) (cos 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 (cube (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (cube (- (cos (+ eps x)) (cos x))) * [enter]simplify: Simplifying (+ (* (sin x) (sin eps)) (cos x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (* (sin eps) (sin x)) (cos x)) * [exit]simplify: Simplified to (+ (* (sin eps) (sin x)) (cos x)) * [enter]simplify: Simplifying (* (cube (sin (/ eps 2))) (cube (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (cube (sin (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cube (sin (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * [enter]simplify: Simplifying (cube (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cube (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cube (sin (/ (+ eps (+ x x)) 2))) * [enter]simplify: Simplifying (- (cos (+ eps x)) (cos x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (cos (+ x eps)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ x eps)) (cos x)) * [enter]simplify: Simplifying (* (cos x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (cos x)) * [exit]simplify: Simplified to (* (cos eps) (cos x)) * [enter]simplify: Simplifying (* (sin x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (sin x)) * [exit]simplify: Simplified to (* (sin eps) (sin x)) * [enter]simplify: Simplifying (cbrt (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (cbrt (- (cos (+ eps x)) (cos x))) * [enter]simplify: Simplifying (exp (sin (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (exp (sin (/ (+ eps (+ x x)) 2))) * [enter]simplify: Simplifying (sin (/ eps 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * [enter]simplify: Simplifying (sin (/ (+ eps (+ x x)) 2)) * * [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 (sin (/ (+ eps (+ x x)) 2)) * [exit]simplify: Simplified to (sin (/ (+ eps (+ x x)) 2)) * [enter]simplify: Simplifying (* (cube (sin (/ eps 2))) (cube (sin (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (cube (sin (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cube (sin (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * [enter]simplify: Simplifying (cbrt (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * [exit]simplify: Simplified to (cbrt (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * [enter]simplify: Simplifying (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ x (+ eps x)) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ x (+ eps x)) 2)) (* -2 (sin (/ eps 2))))) * [enter]simplify: Simplifying (- (* 1/6 (cube x)) (+ (* 1/2 eps) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (* 1/6 (cube x)) (+ (* eps 1/2) x)) * [exit]simplify: Simplified to (- (* 1/6 (cube x)) (+ (* eps 1/2) x)) * [enter]simplify: Simplifying (* (cos x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (cos x)) * [exit]simplify: Simplified to (* (cos eps) (cos x)) * [enter]simplify: Simplifying (* (sin x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (sin x)) * [exit]simplify: Simplified to (* (sin eps) (sin x)) * [enter]simplify: Simplifying (sqrt (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2))))) * [exit]simplify: Simplified to (sqrt (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))))