* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (tan (+ x eps)) (tan x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (tan 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 (- (tan (+ x eps)) (tan x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (tan (+ x eps)) (tan x)) in eps * [misc]taylor: Taking taylor expansion of (tan (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (+ x eps)) (cos (+ x eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ 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 (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [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]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 (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (/ (sin x) (cos x)) into (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (tan x) in eps * [misc]taylor: Taking taylor expansion of (/ (sin x) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x 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 (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]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 (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (/ (sin x) (cos x)) into (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (- (tan (+ x eps)) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ x eps)) (cos (+ x eps))) in x * [misc]taylor: Taking taylor expansion of (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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 (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) 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]backup-simplify: Simplify (/ (sin eps) (cos eps)) into (/ (sin eps) (cos eps)) * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (cos 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]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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (tan (+ x eps)) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ x eps)) (cos (+ x eps))) in x * [misc]taylor: Taking taylor expansion of (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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 (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) 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]backup-simplify: Simplify (/ (sin eps) (cos eps)) into (/ (sin eps) (cos eps)) * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (cos 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]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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (/ (sin eps) (cos eps)) 0) into (/ (sin eps) (cos eps)) * [misc]taylor: Taking taylor expansion of (/ (sin eps) (cos 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]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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin 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 (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [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 (- (/ (cos eps) (cos eps)) (+ (* (/ (sin eps) (cos eps)) (/ (- (sin eps)) (cos eps))))) into (+ (/ (sqr (sin eps)) (sqr (cos eps))) 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (/ (sqr (sin eps)) (sqr (cos eps))) 1) -1) into (/ (sqr (sin eps)) (sqr (cos eps))) * [misc]taylor: Taking taylor expansion of (/ (sqr (sin eps)) (sqr (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (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]taylor: Taking taylor expansion of (sqr (cos eps)) 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]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]backup-simplify: Simplify (/ 1 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 (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin 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 (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [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 (- (/ (- (* 1/2 (sin eps))) (cos eps)) (+ (* (/ (sin eps) (cos eps)) (/ (- (* 1/2 (cos eps))) (cos eps))) (* (+ (/ (sqr (sin eps)) (sqr (cos eps))) 1) (/ (- (sin eps)) (cos eps))))) into (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) * [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) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) 0) into (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (pow (sin eps) 3) (pow (cos eps) 3)) in eps * [misc]taylor: Taking taylor expansion of (pow (sin eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sin eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (sin eps))) 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 (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) 0) into (log eps) * [misc]backup-simplify: Simplify (* 3 (log eps)) into (* 3 (log eps)) * [misc]backup-simplify: Simplify (exp (* 3 (log eps))) into (pow eps 3) * [misc]taylor: Taking taylor expansion of (pow (cos eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cos eps))) 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 (cos eps)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow eps 3) 1) into (pow eps 3) * [misc]taylor: Taking taylor expansion of (/ (sin eps) (cos 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]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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (pow eps 3) 0) into (pow eps 3) * [misc]backup-simplify: Simplify (pow eps 3) into (pow eps 3) * [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) (+ (* 1 (/ 0 1)))) 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 (+ (* (sin 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 (+ (* (cos eps) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps))) * [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 (- (/ (- (* 1/6 (cos eps))) (cos eps)) (+ (* (/ (sin eps) (cos eps)) (/ (* 1/6 (sin eps)) (cos eps))) (* (+ (/ (sqr (sin eps)) (sqr (cos eps))) 1) (/ (- (* 1/2 (cos eps))) (cos eps))) (* (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) (/ (- (sin eps)) (cos eps))))) into (+ (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))) (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) 1/3)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ (+ (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))) (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) 1/3)) -1/3) into (+ (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) * [misc]taylor: Taking taylor expansion of (+ (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) in eps * [misc]taylor: Taking taylor expansion of (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of 4/3 in eps * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (/ (sqr (sin eps)) (sqr (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (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]taylor: Taking taylor expansion of (sqr (cos eps)) 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]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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (pow (sin eps) 4) (pow (cos eps) 4)) in eps * [misc]taylor: Taking taylor expansion of (pow (sin eps) 4) in eps * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (sin eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 4 (log (sin eps))) in eps * [misc]taylor: Taking taylor expansion of 4 in eps * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) 0) into (log eps) * [misc]backup-simplify: Simplify (* 4 (log eps)) into (* 4 (log eps)) * [misc]backup-simplify: Simplify (exp (* 4 (log eps))) into (pow eps 4) * [misc]taylor: Taking taylor expansion of (pow (cos eps) 4) in eps * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 4 (log (cos eps))) in eps * [misc]taylor: Taking taylor expansion of 4 in eps * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (cos eps)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 4 -1/2) (+ (* 0 0) (* 0 0))) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow eps 4) 1) into (pow eps 4) * [misc]backup-simplify: Simplify (+ 0 (pow eps 4)) into (pow eps 4) * [misc]backup-simplify: Simplify (pow eps 4) into (pow eps 4) * [misc]backup-simplify: Simplify (+ (* (pow eps 4) (pow (* 1 x) 3)) (+ (* (pow eps 3) (sqr (* 1 x))) (* 1 (* eps 1)))) into (+ eps (+ (* (pow eps 4) (pow x 3)) (* (pow eps 3) (sqr x)))) * [misc]approximate: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (tan (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (tan (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [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]backup-simplify: Simplify (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 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 (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) 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 (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 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]backup-simplify: Simplify (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 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 (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 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]backup-simplify: Simplify (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 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 (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 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 (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 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 (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) 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 (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) 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 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) 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 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (tan (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (tan (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (+ (/ 1 (- x)) (/ 1 (- eps))))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [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]backup-simplify: Simplify (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -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]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) 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 (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (+ (/ 1 (- x)) (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 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]backup-simplify: Simplify (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -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 (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (+ (/ 1 (- x)) (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 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]backup-simplify: Simplify (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -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 (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 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 (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ -1 x)) (cos (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -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 (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) 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 (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) 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 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) 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 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (tan (+ x eps)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (tan (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (+ x eps)) (cos (+ x eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ 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 (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [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]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 (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (/ (sin x) (cos x)) into (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (tan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ x eps)) (cos (+ x eps))) in x * [misc]taylor: Taking taylor expansion of (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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 (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) 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]backup-simplify: Simplify (/ (sin eps) (cos eps)) into (/ (sin eps) (cos eps)) * [misc]taylor: Taking taylor expansion of (tan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ x eps)) (cos (+ x eps))) in x * [misc]taylor: Taking taylor expansion of (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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 (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) 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]backup-simplify: Simplify (/ (sin eps) (cos eps)) into (/ (sin eps) (cos eps)) * [misc]taylor: Taking taylor expansion of (/ (sin eps) (cos 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]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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin 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 (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [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 (- (/ (cos eps) (cos eps)) (+ (* (/ (sin eps) (cos eps)) (/ (- (sin eps)) (cos eps))))) into (+ (/ (sqr (sin eps)) (sqr (cos eps))) 1) * [misc]taylor: Taking taylor expansion of (+ (/ (sqr (sin eps)) (sqr (cos eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (/ (sqr (sin eps)) (sqr (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (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]taylor: Taking taylor expansion of (sqr (cos eps)) 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]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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin 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 (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [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 (- (/ (- (* 1/2 (sin eps))) (cos eps)) (+ (* (/ (sin eps) (cos eps)) (/ (- (* 1/2 (cos eps))) (cos eps))) (* (+ (/ (sqr (sin eps)) (sqr (cos eps))) 1) (/ (- (sin eps)) (cos eps))))) into (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (pow (sin eps) 3) (pow (cos eps) 3)) in eps * [misc]taylor: Taking taylor expansion of (pow (sin eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sin eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (sin eps))) 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 (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) 0) into (log eps) * [misc]backup-simplify: Simplify (* 3 (log eps)) into (* 3 (log eps)) * [misc]backup-simplify: Simplify (exp (* 3 (log eps))) into (pow eps 3) * [misc]taylor: Taking taylor expansion of (pow (cos eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cos eps))) 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 (cos eps)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow eps 3) 1) into (pow eps 3) * [misc]taylor: Taking taylor expansion of (/ (sin eps) (cos 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]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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (pow eps 3) 0) into (pow eps 3) * [misc]backup-simplify: Simplify (pow eps 3) into (pow eps 3) * [misc]backup-simplify: Simplify (+ (* (pow eps 3) (sqr (* 1 x))) (+ (* 1 (* eps 1)) (* 1 (* 1 x)))) into (+ eps (+ x (* (pow eps 3) (sqr x)))) * [misc]approximate: Taking taylor expansion of (tan (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [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]backup-simplify: Simplify (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 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]backup-simplify: Simplify (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 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]backup-simplify: Simplify (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 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 (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) 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 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) 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 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (cos (+ (/ 1 eps) (/ 1 x))))))) 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 (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) into (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (+ (/ 1 (- x)) (/ 1 (- eps))))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [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]backup-simplify: Simplify (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (+ (/ 1 (- x)) (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 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]backup-simplify: Simplify (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (+ (/ 1 (- x)) (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 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]backup-simplify: Simplify (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 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 (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (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 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ eps (+ (* (pow eps 4) (pow x 3)) (* (pow eps 3) (sqr x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (+ (+ eps (* (pow eps 4) (cube x))) (* (* x x) (cube eps))) * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (- (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ eps (+ x (* (pow eps 3) (sqr x)))) (tan x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (+ (- (+ eps x) (tan x)) (* (sqr x) (cube eps))) * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (tan x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (tan x)) * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (- (+ (/ 1 eps) (/ 1 x)))) (cos (- (+ (/ 1 eps) (/ 1 x))))) (tan x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (- (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x))))) (tan x)) * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (tan (+ x eps))) (exp (tan x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (tan x))) * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (tan (+ x eps)) (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (log (- (tan (+ x eps)) (tan x))) * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (tan (+ x eps)) (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (tan x))) * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (tan (+ x eps)) (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (cbrt (- (tan (+ x eps)) (tan x))) * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (tan (+ x eps)) (tan 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 (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (cube (- (tan (+ x eps)) (tan x))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (tan (+ x eps)) (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (sqrt (- (tan (+ x eps)) (tan x))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin (+ x eps)) (cos x)) (* (cos (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (* (cos x) (sin (+ x eps))) (* (cos (+ x eps)) (sin x))) * [exit]simplify: Simplified to (- (* (cos x) (sin (+ x eps))) (* (cos (+ x eps)) (sin 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 x) (cos (+ x eps))) * [exit]simplify: Simplified to (* (cos x) (cos (+ x eps))) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin (+ x eps)) (cotan x)) (* (cos (+ x eps)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (* (cotan x) (sin (+ x eps))) (cos (+ x eps))) * [exit]simplify: Simplified to (- (* (cotan x) (sin (+ x eps))) (cos (+ x eps))) * [enter]simplify: Simplifying (* (cos (+ x eps)) (cotan x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cotan x) (cos (+ x eps))) * [exit]simplify: Simplified to (* (cotan x) (cos (+ x eps))) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (cos x)) (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ x eps)) (sin x))) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ x eps)) (sin x))) * [enter]simplify: Simplifying (* (cotan (+ x eps)) (cos x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cos x) (cotan (+ x eps))) * [exit]simplify: Simplified to (* (cos x) (cotan (+ x eps))) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (cotan x)) (* (cotan (+ x eps)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (cotan x) (cotan (+ x eps))) * [exit]simplify: Simplified to (- (cotan x) (cotan (+ x eps))) * [enter]simplify: Simplifying (* (cotan (+ x eps)) (cotan x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cotan x) (cotan (+ x eps))) * [exit]simplify: Simplified to (* (cotan x) (cotan (+ x eps))) * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (tan x)) * [exit]simplify: Simplified to (- (tan x)) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (tan (+ x eps)) 3) (pow (tan 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 (tan (+ x eps))) (cube (tan x))) * [exit]simplify: Simplified to (- (cube (tan (+ x eps))) (cube (tan x))) * [enter]simplify: Simplifying (+ (sqr (tan (+ x eps))) (+ (sqr (tan x)) (* (tan (+ x eps)) (tan 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 (+ (* (tan x) (+ (tan x) (tan (+ x eps)))) (* (tan (+ x eps)) (tan (+ x eps)))) * [exit]simplify: Simplified to (+ (* (tan x) (+ (tan x) (tan (+ x eps)))) (* (tan (+ x eps)) (tan (+ x eps)))) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (tan (+ x eps))) (sqr (tan 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 (* (+ (tan x) (tan (+ x eps))) (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (* (+ (tan x) (tan (+ x eps))) (- (tan (+ x eps)) (tan x))) * [enter]simplify: Simplifying (+ (tan (+ x eps)) (tan x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (tan x) (tan (+ x eps))) * [exit]simplify: Simplified to (+ (tan x) (tan (+ x eps))) * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (tan (+ x eps))) (sqrt (tan x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (tan x)) (sqrt (tan (+ x eps)))) * [exit]simplify: Simplified to (+ (sqrt (tan x)) (sqrt (tan (+ x eps)))) * [enter]simplify: Simplifying (- (sqrt (tan (+ x eps))) (sqrt (tan x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (sqrt (tan x))) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (sqrt (tan x))) * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (tan x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (tan x)) * [exit]simplify: Simplified to (- (tan (+ x eps)) (tan x)) * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (+ x eps)) * [exit]simplify: Simplified to (sin (+ x eps)) * [enter]simplify: Simplifying (cos (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ x eps)) * [exit]simplify: Simplified to (cos (+ x eps)) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cotan (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cotan (+ x eps)) * [exit]simplify: Simplified to (cotan (+ x eps)) * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (+ x eps))) * [exit]simplify: Simplified to (log (tan (+ x eps))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (+ x eps))) * [exit]simplify: Simplified to (exp (tan (+ x eps))) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (+ x eps))) * [exit]simplify: Simplified to (cbrt (tan (+ x eps))) * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (tan (+ 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 (tan (+ x eps))) * [exit]simplify: Simplified to (cube (tan (+ x eps))) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (+ x eps))) * [exit]simplify: Simplified to (sqrt (tan (+ x eps))) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (cos x) (* (cotan (+ x eps)) (sin x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos x) (* (cotan (+ x eps)) (sin x))) in eps * [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 (* (cotan (+ x eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) 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 (/ (cos x) (sin x)) into (/ (cos x) (sin x)) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x 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 (- (cos x) (* (cotan (+ x eps)) (sin 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 (* (cotan (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [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]taylor: Taking taylor expansion of (- (cos x) (* (cotan (+ x eps)) (sin 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 (* (cotan (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [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 (* (/ (cos eps) (sin eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 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]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin 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 (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]backup-simplify: Simplify (- (/ (- (sin eps)) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (cos eps) (sin eps))))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]backup-simplify: Simplify (+ (* (/ (cos eps) (sin eps)) 1) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) 0)) into (/ (cos eps) (sin eps)) * [misc]backup-simplify: Simplify (- (/ (cos eps) (sin eps))) into (- (/ (cos eps) (sin eps))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos eps) (sin eps)))) into (- (/ (cos eps) (sin eps))) * [misc]taylor: Taking taylor expansion of (- (/ (cos eps) (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin 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 (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (cos eps))) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (- (* 1/2 (sin eps))) (sin eps))) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) (/ (cos eps) (sin eps))))) into (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) * [misc]backup-simplify: Simplify (+ (* (/ (cos eps) (sin eps)) 0) (+ (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) 1) (* (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) 0))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]backup-simplify: Simplify (- (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1))) into (+ 1 (/ (sqr (cos eps)) (sqr (sin eps)))) * [misc]backup-simplify: Simplify (+ (- 1/2) (+ 1 (/ (sqr (cos eps)) (sqr (sin eps))))) into (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1/2) * [misc]taylor: Taking taylor expansion of (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1/2) in eps * [misc]taylor: Taking taylor expansion of (/ (sqr (cos eps)) (sqr (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (cos eps)) 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 (sqr (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 (* 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 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (+ -2/3 1/2) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (* eps x)) (+ (* -1/6 (sqr (* 1 x))) 1)) into (- (+ 1 (* 1/3 (* eps x))) (* 1/6 (sqr x))) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))) in eps * [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 (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))) in 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 (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))) in 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 (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) in eps * [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 (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 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]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) into (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 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 (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (cos (+ (/ 1 eps) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (+ (/ 1 eps) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))) in eps * [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 (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))) in 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 (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))) in 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 (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) in eps * [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]taylor: Taking taylor expansion of (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -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]taylor: Taking taylor expansion of (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 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 (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (- (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cotan (+ x eps)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) 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 (/ (cos x) (sin x)) into (/ (cos x) (sin x)) * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* (sin 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 (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]backup-simplify: Simplify (- (/ (- (sin eps)) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (cos eps) (sin eps))))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]taylor: Taking taylor expansion of (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (/ (sqr (cos eps)) (sqr (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (cos eps)) 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 (sqr (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 (* 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 in eps * [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 (- 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 (+ -2/3 1) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin 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 (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (cos eps))) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (- (* 1/2 (sin eps))) (sin eps))) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) (/ (cos eps) (sin eps))))) into (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) * [misc]taylor: Taking taylor expansion of (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (pow (cos eps) 3) (pow (sin eps) 3)) in eps * [misc]taylor: Taking taylor expansion of (pow (cos eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cos eps))) 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 (cos eps)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (sin eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sin eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (sin eps))) 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 (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) 0) into (log eps) * [misc]backup-simplify: Simplify (* 3 (log eps)) into (* 3 (log eps)) * [misc]backup-simplify: Simplify (exp (* 3 (log eps))) into (pow eps 3) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow eps 3))) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow eps 3)) (sqr (* 1 x))) (+ (* -1/3 (* eps 1)) (* -1/3 (* 1 x)))) into (- (/ (sqr x) (pow eps 3)) (+ (* 1/3 eps) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 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 (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 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 (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cotan (+ x eps)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) 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 (/ (cos x) (sin x)) into (/ (cos x) (sin x)) * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* (sin 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 (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]backup-simplify: Simplify (- (/ (- (sin eps)) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (cos eps) (sin eps))))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]taylor: Taking taylor expansion of (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (/ (sqr (cos eps)) (sqr (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (cos eps)) 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 (sqr (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 (* 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 in eps * [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 (- 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 (+ -2/3 1) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin 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 (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (cos eps))) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (- (* 1/2 (sin eps))) (sin eps))) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) (/ (cos eps) (sin eps))))) into (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) * [misc]taylor: Taking taylor expansion of (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (pow (cos eps) 3) (pow (sin eps) 3)) in eps * [misc]taylor: Taking taylor expansion of (pow (cos eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cos eps))) 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 (cos eps)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (sin eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sin eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (sin eps))) 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 (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) 0) into (log eps) * [misc]backup-simplify: Simplify (* 3 (log eps)) into (* 3 (log eps)) * [misc]backup-simplify: Simplify (exp (* 3 (log eps))) into (pow eps 3) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow eps 3))) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow eps 3)) (sqr (* 1 x))) (+ (* -1/3 (* eps 1)) (* -1/3 (* 1 x)))) into (- (/ (sqr x) (pow eps 3)) (+ (* 1/3 eps) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 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 (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 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 (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (cotan (+ x eps)) (sin x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (cotan (+ x eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) 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 (/ (cos x) (sin x)) into (/ (cos x) (sin x)) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x 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 (* (cotan (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [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]taylor: Taking taylor expansion of (* (cotan (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [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 (* (/ (cos eps) (sin eps)) 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 (+ (* 1 (/ (pow 1 1) 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]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin 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 (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]backup-simplify: Simplify (- (/ (- (sin eps)) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (cos eps) (sin eps))))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]backup-simplify: Simplify (+ (* (/ (cos eps) (sin eps)) 1) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) 0)) into (/ (cos eps) (sin eps)) * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin 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 (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (cos eps))) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (- (* 1/2 (sin eps))) (sin eps))) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) (/ (cos eps) (sin eps))))) into (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) * [misc]backup-simplify: Simplify (+ (* (/ (cos eps) (sin eps)) 0) (+ (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) 1) (* (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) 0))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]taylor: Taking taylor expansion of (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (/ (sqr (cos eps)) (sqr (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (cos eps)) 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 (sqr (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 (* 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 in eps * [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 (- 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 (+ -2/3 1) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify 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 (+ 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 (+ (* (sin 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 (+ (* (cos eps) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (- (/ (* 1/6 (sin eps)) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (- (* 1/6 (cos eps))) (sin eps))) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) (/ (- (* 1/2 (sin eps))) (sin eps))) (* (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) (/ (cos eps) (sin eps))))) into (- (+ (/ (pow (cos eps) 4) (pow (sin eps) 4)) (+ (* 4/3 (/ (sqr (cos eps)) (sqr (sin eps)))) 1/3))) * [misc]backup-simplify: Simplify (+ (* (/ (cos eps) (sin eps)) (- 1/6)) (+ (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) 0) (+ (* (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) 1) (* (- (+ (/ (pow (cos eps) 4) (pow (sin eps) 4)) (+ (* 4/3 (/ (sqr (cos eps)) (sqr (sin eps)))) 1/3))) 0)))) into (+ (* 5/6 (/ (cos eps) (sin eps))) (/ (pow (cos eps) 3) (pow (sin eps) 3))) * [misc]taylor: Taking taylor expansion of (+ (* 5/6 (/ (cos eps) (sin eps))) (/ (pow (cos eps) 3) (pow (sin eps) 3))) in eps * [misc]taylor: Taking taylor expansion of (* 5/6 (/ (cos eps) (sin eps))) in eps * [misc]taylor: Taking taylor expansion of 5/6 in eps * [misc]backup-simplify: Simplify 5/6 into 5/6 * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (pow (cos eps) 3) (pow (sin eps) 3)) in eps * [misc]taylor: Taking taylor expansion of (pow (cos eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cos eps))) 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 (cos eps)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (sin eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sin eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (sin eps))) 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 (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) 0) into (log eps) * [misc]backup-simplify: Simplify (* 3 (log eps)) into (* 3 (log eps)) * [misc]backup-simplify: Simplify (exp (* 3 (log eps))) into (pow eps 3) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow eps 3))) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow eps 3)) (pow (* 1 x) 3)) (+ (* -1/3 (* eps x)) (* -1/3 (sqr (* 1 x))))) into (- (/ (pow x 3) (pow eps 3)) (+ (* 1/3 (sqr x)) (* 1/3 (* eps x)))) * [misc]approximate: Taking taylor expansion of (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 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]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) into (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (* 0 (sin (/ 1 x)))) 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 (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (cos (+ (/ 1 eps) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) 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 (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (+ (/ 1 eps) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) 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 (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -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]taylor: Taking taylor expansion of (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) 0) (* 0 (sin (/ -1 x)))) 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 (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) 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 (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (- (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) 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 (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ 1 (* 1/3 (* eps x))) (* 1/6 (sqr x))) (* (cotan (+ x eps)) (cos 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 (78 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (+ (* x (- (* eps 1/3) (* 1/6 x))) 1) (* (cotan (+ eps x)) (cos x))) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (/ (cos (/ 1 x)) (* (cotan (+ x eps)) (cos x))) (/ (/ (sin (/ 1 x)) (sin (+ (/ 1 x) (/ 1 eps)))) (/ (* (cotan (+ x eps)) (cos x)) (cos (+ (/ 1 x) (/ 1 eps)))))) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (- (cos (/ -1 x)) (/ (* (cos (+ (/ 1 eps) (/ 1 x))) (sin (/ -1 x))) (- (sin (+ (/ 1 eps) (/ 1 x)))))) (* (cotan (+ eps x)) (cos x))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos x) (* (cotan (+ x eps)) (sin x))) (* (- (/ (sqr x) (pow eps 3)) (+ (* 1/3 eps) (* 1/3 x))) (cos x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (/ (- (cos x) (* (cotan (+ eps x)) (sin x))) (* (cos x) (- (/ (* x x) (cube eps)) (* (+ eps x) 1/3)))) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos x) (* (cotan (+ x eps)) (sin x))) (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (cos x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (- 1 (/ (cotan (+ eps x)) (/ (cos x) (sin x)))) (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x))))) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos x) (* (cotan (+ x eps)) (sin x))) (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (cos x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (- (sin (+ (/ 1 eps) (/ 1 x)))) (- (cos x) (* (cotan (+ eps x)) (sin x)))) (* (cos (+ (/ 1 eps) (/ 1 x))) (cos x))) * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos x) (* (- (/ (sqr x) (pow eps 3)) (+ (* 1/3 eps) (* 1/3 x))) (sin x))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ eps x))) (* (/ (/ (sin x) (cos x)) (cotan (+ eps x))) (- (/ (* x x) (cube eps)) (* (+ eps x) 1/3)))) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos x) (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (sin x))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ eps x))) (/ (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) (* (cotan (+ eps x)) (/ (cos x) (sin x))))) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos x) (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (sin x))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ eps x))) (/ (* (cos (+ (/ 1 x) (/ 1 eps))) (/ (sin x) (cotan (+ eps x)))) (* (sin (+ (/ 1 x) (/ 1 eps))) (- (cos x))))) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos x) (- (/ (pow x 3) (pow eps 3)) (+ (* 1/3 (sqr x)) (* 1/3 (* eps x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to (/ (- (+ (* (* x 1/3) (+ x eps)) (cos x)) (cube (/ x eps))) (* (cos x) (cotan (+ x eps)))) * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos x) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ x eps))) (* (/ (/ (sin (/ 1 x)) (cotan (+ x eps))) (sin (+ (/ 1 x) (/ 1 eps)))) (/ (cos (+ (/ 1 x) (/ 1 eps))) (cos x)))) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos x) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ x eps))) (/ (/ (cos (+ (/ 1 eps) (/ 1 x))) (/ (cotan (+ x eps)) (sin (/ -1 x)))) (* (- (cos x)) (sin (+ (/ 1 eps) (/ 1 x)))))) * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (cos x)) (exp (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (exp (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (exp (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (log (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (exp (cos x)) (pow (exp (sin x)) (cotan (+ eps x)))) * [exit]simplify: Simplified to (/ (exp (cos x)) (pow (exp (sin x)) (cotan (+ eps x)))) * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (cbrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cube (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (cube (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (sqrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (- (sin x)) (cotan (+ x eps))) * [exit]simplify: Simplified to (* (- (sin x)) (cotan (+ x eps))) * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cos x) 3) (pow (* (cotan (+ x eps)) (sin x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (cube (cos x)) (cube (* (cotan (+ x eps)) (sin x)))) * [exit]simplify: Simplified to (- (cube (cos x)) (cube (* (cotan (+ x eps)) (sin x)))) * [enter]simplify: Simplifying (+ (sqr (cos x)) (+ (sqr (* (cotan (+ x eps)) (sin x))) (* (cos x) (* (cotan (+ x eps)) (sin x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ (+ (* (cotan (+ eps x)) (* (cos x) (sin x))) (sqr (cos x))) (sqr (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (+ (+ (* (cotan (+ eps x)) (* (cos x) (sin x))) (sqr (cos x))) (sqr (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (cos x)) (sqr (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (sqr (cos x)) (sqr (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (- (sqr (cos x)) (sqr (* (cotan (+ eps x)) (sin x)))) * [enter]simplify: Simplifying (+ (cos x) (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (* (cotan (+ eps x)) (sin x)) (cos x)) * [exit]simplify: Simplified to (+ (* (cotan (+ eps x)) (sin x)) (cos x)) * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos x)) (sqrt (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (cotan (+ eps x)) (sin x))) (sqrt (cos x))) * [exit]simplify: Simplified to (+ (sqrt (* (cotan (+ eps x)) (sin x))) (sqrt (cos x))) * [enter]simplify: Simplifying (- (sqrt (cos x)) (sqrt (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (cos x)) (sqrt (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (- (sqrt (cos x)) (sqrt (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos x)) (* (sqrt (cotan (+ x eps))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (cotan (+ eps x))) (sqrt (sin x))) (sqrt (cos x))) * [exit]simplify: Simplified to (+ (* (sqrt (cotan (+ eps x))) (sqrt (sin x))) (sqrt (cos x))) * [enter]simplify: Simplifying (- (sqrt (cos x)) (* (sqrt (cotan (+ x eps))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (cos x)) (* (sqrt (cotan (+ eps x))) (sqrt (sin x)))) * [exit]simplify: Simplified to (- (sqrt (cos x)) (* (sqrt (cotan (+ eps x))) (sqrt (sin x)))) * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ x eps)) * [exit]simplify: Simplified to (cos (+ x eps)) * [enter]simplify: Simplifying (sin (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (+ x eps)) * [exit]simplify: Simplified to (sin (+ x eps)) * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (tan (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (tan (+ x eps)) * [exit]simplify: Simplified to (tan (+ x eps)) * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cotan (+ x eps))) * [exit]simplify: Simplified to (log (cotan (+ x eps))) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cotan (+ x eps))) * [exit]simplify: Simplified to (exp (cotan (+ x eps))) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cotan (+ 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 (cotan (+ x eps))) * [exit]simplify: Simplified to (cube (cotan (+ x eps))) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cotan (+ x eps))) * [exit]simplify: Simplified to (sqrt (cotan (+ x eps))) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ x eps)) * [exit]simplify: Simplified to (cos (+ x eps)) * [enter]simplify: Simplifying (sin (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (+ x eps)) * [exit]simplify: Simplified to (sin (+ x eps)) * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (tan (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (tan (+ x eps)) * [exit]simplify: Simplified to (tan (+ x eps)) * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cotan (+ x eps))) * [exit]simplify: Simplified to (log (cotan (+ x eps))) * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cotan (+ x eps))) * [exit]simplify: Simplified to (exp (cotan (+ x eps))) * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cotan (+ 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 (cotan (+ x eps))) * [exit]simplify: Simplified to (cube (cotan (+ x eps))) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cotan (+ x eps))) * [exit]simplify: Simplified to (sqrt (cotan (+ x eps))) * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cotan (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sin x) (cotan (+ x eps))) * [exit]simplify: Simplified to (* (sin x) (cotan (+ x eps))) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cotan (+ x eps))) (log (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (cotan (+ x eps)))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (cotan (+ x eps)))) * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (* (sin x) (cotan (+ x eps)))) * [exit]simplify: Simplified to (log (* (sin x) (cotan (+ x eps)))) * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (* (sin x) (cotan (+ x eps)))) * [exit]simplify: Simplified to (exp (* (sin x) (cotan (+ x eps)))) * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (cotan (+ x eps))) (cube (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (cube (sin x)) (cube (cotan (+ x eps)))) * [exit]simplify: Simplified to (* (cube (sin x)) (cube (cotan (+ x eps)))) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (sin x) (cotan (+ x eps)))) * [exit]simplify: Simplified to (cbrt (* (sin x) (cotan (+ x eps)))) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (cube (* (sin x) (cotan (+ x eps)))) * [exit]simplify: Simplified to (cube (* (sin x) (cotan (+ x eps)))) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cotan (+ x eps))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (cotan (+ x eps)))) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (cotan (+ x eps)))) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (* (sin x) (cotan (+ x eps)))) * [exit]simplify: Simplified to (sqrt (* (sin x) (cotan (+ x eps)))) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cotan (+ x eps))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sqrt (cotan (+ x eps)))) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sqrt (cotan (+ x eps)))) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cotan (+ x eps)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cotan (+ x eps)) * [exit]simplify: Simplified to (cotan (+ x eps)) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cotan (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sin x) (cotan (+ x eps))) * [exit]simplify: Simplified to (* (sin x) (cotan (+ x eps))) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sin x) (cos (+ x eps))) * [exit]simplify: Simplified to (* (sin x) (cos (+ x eps))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * * * * [misc]progress: [ 60 / 60 ] 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 1) * [misc]approximate: Taking taylor expansion of (- (cos x) (* (cotan (+ x eps)) (sin x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos x) (* (cotan (+ x eps)) (sin x))) in eps * [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 (* (cotan (+ x eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) 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 (/ (cos x) (sin x)) into (/ (cos x) (sin x)) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x 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 (- (cos x) (* (cotan (+ x eps)) (sin 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 (* (cotan (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [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]taylor: Taking taylor expansion of (- (cos x) (* (cotan (+ x eps)) (sin 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 (* (cotan (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [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 (* (/ (cos eps) (sin eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 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]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin 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 (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]backup-simplify: Simplify (- (/ (- (sin eps)) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (cos eps) (sin eps))))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]backup-simplify: Simplify (+ (* (/ (cos eps) (sin eps)) 1) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) 0)) into (/ (cos eps) (sin eps)) * [misc]backup-simplify: Simplify (- (/ (cos eps) (sin eps))) into (- (/ (cos eps) (sin eps))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos eps) (sin eps)))) into (- (/ (cos eps) (sin eps))) * [misc]taylor: Taking taylor expansion of (- (/ (cos eps) (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin 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 (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (cos eps))) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (- (* 1/2 (sin eps))) (sin eps))) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) (/ (cos eps) (sin eps))))) into (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) * [misc]backup-simplify: Simplify (+ (* (/ (cos eps) (sin eps)) 0) (+ (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) 1) (* (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) 0))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]backup-simplify: Simplify (- (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1))) into (+ 1 (/ (sqr (cos eps)) (sqr (sin eps)))) * [misc]backup-simplify: Simplify (+ (- 1/2) (+ 1 (/ (sqr (cos eps)) (sqr (sin eps))))) into (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1/2) * [misc]taylor: Taking taylor expansion of (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1/2) in eps * [misc]taylor: Taking taylor expansion of (/ (sqr (cos eps)) (sqr (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (cos eps)) 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 (sqr (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 (* 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 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (+ -2/3 1/2) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (* eps x)) (+ (* -1/6 (sqr (* 1 x))) 1)) into (- (+ 1 (* 1/3 (* eps x))) (* 1/6 (sqr x))) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))) in eps * [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 (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))) in 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 (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))) in 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 (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) in eps * [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 (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 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]taylor: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) into (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 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 (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (cos (+ (/ 1 eps) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (+ (/ 1 eps) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))) in eps * [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 (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))) in 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 (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))) in 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 (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) in eps * [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]taylor: Taking taylor expansion of (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -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]taylor: Taking taylor expansion of (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 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 (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (cos (- (+ (/ 1 eps) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (- (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cotan (+ x eps)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) 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 (/ (cos x) (sin x)) into (/ (cos x) (sin x)) * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* (sin 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 (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]backup-simplify: Simplify (- (/ (- (sin eps)) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (cos eps) (sin eps))))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]taylor: Taking taylor expansion of (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (/ (sqr (cos eps)) (sqr (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (cos eps)) 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 (sqr (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 (* 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 in eps * [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 (- 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 (+ -2/3 1) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin 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 (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (cos eps))) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (- (* 1/2 (sin eps))) (sin eps))) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) (/ (cos eps) (sin eps))))) into (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) * [misc]taylor: Taking taylor expansion of (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (pow (cos eps) 3) (pow (sin eps) 3)) in eps * [misc]taylor: Taking taylor expansion of (pow (cos eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cos eps))) 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 (cos eps)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (sin eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sin eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (sin eps))) 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 (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) 0) into (log eps) * [misc]backup-simplify: Simplify (* 3 (log eps)) into (* 3 (log eps)) * [misc]backup-simplify: Simplify (exp (* 3 (log eps))) into (pow eps 3) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow eps 3))) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow eps 3)) (sqr (* 1 x))) (+ (* -1/3 (* eps 1)) (* -1/3 (* 1 x)))) into (- (/ (sqr x) (pow eps 3)) (+ (* 1/3 eps) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 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 (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 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 (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cotan (+ x eps)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) 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 (/ (cos x) (sin x)) into (/ (cos x) (sin x)) * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [misc]taylor: Taking taylor expansion of (cotan (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ x eps)) (sin (+ x eps))) 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 (sin (+ 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 (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos 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]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (/ (cos eps) (sin eps)) into (/ (cos eps) (sin eps)) * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* (sin 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 (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]backup-simplify: Simplify (- (/ (- (sin eps)) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (cos eps) (sin eps))))) into (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) * [misc]taylor: Taking taylor expansion of (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (/ (sqr (cos eps)) (sqr (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (sqr (cos eps)) 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 (sqr (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 (* 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 in eps * [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 (- 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 (+ -2/3 1) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin 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 (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (cos eps))) (sin eps)) (+ (* (/ (cos eps) (sin eps)) (/ (- (* 1/2 (sin eps))) (sin eps))) (* (- (+ (/ (sqr (cos eps)) (sqr (sin eps))) 1)) (/ (cos eps) (sin eps))))) into (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) * [misc]taylor: Taking taylor expansion of (+ (/ (cos eps) (sin eps)) (/ (pow (cos eps) 3) (pow (sin eps) 3))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos eps) (sin eps)) 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 (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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (pow (cos eps) 3) (pow (sin eps) 3)) in eps * [misc]taylor: Taking taylor expansion of (pow (cos eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (cos eps))) 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 (cos eps)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (sin eps) 3) in eps * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sin eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 3 (log (sin eps))) 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 (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) 0) into (log eps) * [misc]backup-simplify: Simplify (* 3 (log eps)) into (* 3 (log eps)) * [misc]backup-simplify: Simplify (exp (* 3 (log eps))) into (pow eps 3) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow eps 3))) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (/ 1 (pow eps 3)) into (/ 1 (pow eps 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow eps 3)) (sqr (* 1 x))) (+ (* -1/3 (* eps 1)) (* -1/3 (* 1 x)))) into (- (/ (sqr x) (pow eps 3)) (+ (* 1/3 eps) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) 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 (sin (+ (/ 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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 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 (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) 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))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (+ (/ 1 (- x)) (/ 1 (- eps))))) 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 (sin (+ (/ 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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 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 (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) in eps * [misc]backup-simplify: Simplify (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) into (- (cos x) (* (sin x) (cotan (+ eps x)))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) into (- (cos x) (* (sin x) (cotan (+ eps x)))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) into (- (cos x) (* (sin x) (cotan (+ eps x)))) * [misc]taylor: Taking taylor expansion of (- (cos x) (* (sin x) (cotan (+ eps x)))) in eps * [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 (* (sin x) (cotan (+ eps x))) in eps * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x 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 (cotan (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ eps x)) (sin (+ eps x))) in eps * [misc]taylor: Taking taylor expansion of (cos (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of (+ eps 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 in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 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 (sin (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of (+ eps 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 in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) 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 (/ (cos x) (sin x)) into (/ (cos x) (sin x)) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) 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 (* (sin x) (/ (cos x) (sin x))) into (cos x) * [misc]backup-simplify: Simplify (- (cos x)) into (- (cos x)) * [misc]backup-simplify: Simplify (+ (cos x) (- (cos x))) 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 (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin 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 (+ (* (cos x) 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 x) 1) (* 0 0)) into (sin x) * [misc]backup-simplify: Simplify (- (sin x)) into (- (sin x)) * [misc]backup-simplify: Simplify (+ 0 (- (sin x))) into (- (sin x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (+ (* (cos x) 1) (* 0 0)) into (cos x) * [misc]backup-simplify: Simplify (+ 0 (cos x)) into (cos x) * [misc]backup-simplify: Simplify (- (/ (- (sin x)) (sin x)) (+ (* (/ (cos x) (sin x)) (/ (cos x) (sin x))))) into (- (+ (/ (sqr (cos x)) (sqr (sin x))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) (- (+ (/ (sqr (cos x)) (sqr (sin x))) 1))) (* 0 (/ (cos x) (sin x)))) into (- (+ (sin x) (/ (sqr (cos x)) (sin x)))) * [misc]backup-simplify: Simplify (- (- (+ (sin x) (/ (sqr (cos x)) (sin x))))) into (+ (sin x) (/ (sqr (cos x)) (sin x))) * [misc]backup-simplify: Simplify (+ 0 (+ (sin x) (/ (sqr (cos x)) (sin x)))) into (+ (sin x) (/ (sqr (cos x)) (sin x))) * [misc]backup-simplify: Simplify (+ (sin x) (/ (sqr (cos x)) (sin x))) into (+ (sin x) (/ (sqr (cos x)) (sin 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]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin 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 (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos x))) * [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 x) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos x))) 0) into (- (* 1/2 (cos x))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin x))) 0) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (cos x))) (sin x)) (+ (* (/ (cos x) (sin x)) (/ (- (* 1/2 (sin x))) (sin x))) (* (- (+ (/ (sqr (cos x)) (sqr (sin x))) 1)) (/ (cos x) (sin x))))) into (+ (/ (cos x) (sin x)) (/ (pow (cos x) 3) (pow (sin x) 3))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) (+ (/ (cos x) (sin x)) (/ (pow (cos x) 3) (pow (sin x) 3)))) (+ (* 0 (- (+ (/ (sqr (cos x)) (sqr (sin x))) 1))) (* 0 (/ (cos x) (sin x))))) into (+ (/ (pow (cos x) 3) (sqr (sin x))) (cos x)) * [misc]backup-simplify: Simplify (- (+ (/ (pow (cos x) 3) (sqr (sin x))) (cos x))) into (- (+ (/ (pow (cos x) 3) (sqr (sin x))) (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (/ (pow (cos x) 3) (sqr (sin x))) (cos x)))) into (- (+ (/ (pow (cos x) 3) (sqr (sin x))) (cos x))) * [misc]backup-simplify: Simplify (- (+ (/ (pow (cos x) 3) (sqr (sin x))) (cos x))) into (- (+ (/ (pow (cos x) 3) (sqr (sin x))) (cos 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 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 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 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 x) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin x))) * [misc]backup-simplify: Simplify (- (- (* 1/6 (sin x)))) into (* 1/6 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (sin x))) into (* 1/6 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (+ (* (cos x) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos x)))) into (- (* 1/6 (cos x))) * [misc]backup-simplify: Simplify (- (/ (* 1/6 (sin x)) (sin x)) (+ (* (/ (cos x) (sin x)) (/ (- (* 1/6 (cos x))) (sin x))) (* (- (+ (/ (sqr (cos x)) (sqr (sin x))) 1)) (/ (- (* 1/2 (sin x))) (sin x))) (* (+ (/ (cos x) (sin x)) (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x))))) into (- (+ (* 4/3 (/ (sqr (cos x)) (sqr (sin x)))) (+ 1/3 (/ (pow (cos x) 4) (pow (sin x) 4))))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) (- (+ (* 4/3 (/ (sqr (cos x)) (sqr (sin x)))) (+ 1/3 (/ (pow (cos x) 4) (pow (sin x) 4)))))) (+ (* 0 (+ (/ (cos x) (sin x)) (/ (pow (cos x) 3) (pow (sin x) 3)))) (+ (* 0 (- (+ (/ (sqr (cos x)) (sqr (sin x))) 1))) (* 0 (/ (cos x) (sin x)))))) into (- (+ (* 1/3 (sin x)) (+ (/ (pow (cos x) 4) (pow (sin x) 3)) (* 4/3 (/ (sqr (cos x)) (sin x)))))) * [misc]backup-simplify: Simplify (- (- (+ (* 1/3 (sin x)) (+ (/ (pow (cos x) 4) (pow (sin x) 3)) (* 4/3 (/ (sqr (cos x)) (sin x))))))) into (+ (* 1/3 (sin x)) (+ (/ (pow (cos x) 4) (pow (sin x) 3)) (* 4/3 (/ (sqr (cos x)) (sin x))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/3 (sin x)) (+ (/ (pow (cos x) 4) (pow (sin x) 3)) (* 4/3 (/ (sqr (cos x)) (sin x)))))) into (+ (* 1/3 (sin x)) (+ (/ (pow (cos x) 4) (pow (sin x) 3)) (* 4/3 (/ (sqr (cos x)) (sin x))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (sin x)) (+ (/ (pow (cos x) 4) (pow (sin x) 3)) (* 4/3 (/ (sqr (cos x)) (sin x))))) into (+ (* 1/3 (sin x)) (+ (/ (pow (cos x) 4) (pow (sin x) 3)) (* 4/3 (/ (sqr (cos x)) (sin x))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/3 (sin x)) (+ (/ (pow (cos x) 4) (pow (sin x) 3)) (* 4/3 (/ (sqr (cos x)) (sin x))))) (pow (* eps 1) 3)) (+ (* (- (+ (/ (pow (cos x) 3) (sqr (sin x))) (cos x))) (sqr (* eps 1))) (* (+ (sin x) (/ (sqr (cos x)) (sin x))) (* eps 1)))) into (- (+ (* (sin x) eps) (+ (/ (* (pow eps 3) (pow (cos x) 4)) (pow (sin x) 3)) (+ (/ (* eps (sqr (cos x))) (sin x)) (+ (* 1/3 (* (sin x) (pow eps 3))) (* 4/3 (/ (* (pow eps 3) (sqr (cos x))) (sin x))))))) (+ (/ (* (sqr eps) (pow (cos x) 3)) (sqr (sin x))) (* (sqr eps) (cos x)))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))))) in eps * [misc]backup-simplify: Simplify (cbrt (cube (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))))) into (- (cos (/ 1 x)) (* (cotan (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))))) into (- (cos (/ 1 x)) (* (cotan (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (- (cos (/ 1 x)) (* (cotan (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x)))))) into (- (cos (/ 1 x)) (* (cotan (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 x)) (* (cotan (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))) in eps * [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 (* (cotan (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cotan (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 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 (sin (+ (/ 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 (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) into (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 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 (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) (- (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 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]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 (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (* 0 (sin (/ 1 x)))) 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]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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (+ (/ 1 eps) (/ 1 x)))) (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))) (* 0 (/ 0 (sin (+ (/ 1 eps) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) 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]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 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) into (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))))) in eps * [misc]backup-simplify: Simplify (cbrt (cube (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))))) into (- (cos (/ -1 x)) (* (sin (/ -1 x)) (cotan (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))))) into (- (cos (/ -1 x)) (* (sin (/ -1 x)) (cotan (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (- (cos (/ 1 (- x))) (* (cotan (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x))))))) into (- (cos (/ -1 x)) (* (sin (/ -1 x)) (cotan (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (- (cos (/ -1 x)) (* (sin (/ -1 x)) (cotan (- (+ (/ 1 eps) (/ 1 x)))))) in eps * [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]taylor: Taking taylor expansion of (* (sin (/ -1 x)) (cotan (- (+ (/ 1 eps) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cotan (- (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 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 (sin (- (+ (/ 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 (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) into (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 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 (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) (- (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x))))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 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]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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))))) 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]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 (sin (- (+ (/ 1 eps) (/ 1 x))))) (+ (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* 0 (/ 0 (sin (- (+ (/ 1 eps) (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x)))))))) 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]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 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) into (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cube (- (+ 1 (* 1/3 (* eps x))) (* 1/6 (sqr x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* x (- (* eps 1/3) (* 1/6 x)))) (* (cotan (+ eps x)) (cos x))) * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cube (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (/ (cos (/ 1 x)) (* (cos x) (cotan (+ x eps)))) (* (/ (cos (+ (/ 1 x) (/ 1 eps))) (cotan (+ x eps))) (/ (/ (sin (/ 1 x)) (cos x)) (sin (+ (/ 1 x) (/ 1 eps)))))) * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cube (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (- (cos (/ -1 x)) (/ (* (cos (+ (/ 1 eps) (/ 1 x))) (sin (/ -1 x))) (- (sin (+ (/ 1 eps) (/ 1 x)))))) (* (cos x) (cotan (+ eps x)))) * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) (* (- (/ (sqr x) (pow eps 3)) (+ (* 1/3 eps) (* 1/3 x))) (cos x))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (- (cos x) (* (cotan (+ eps x)) (sin x))) (* (- (/ (* x x) (cube eps)) (* (+ eps x) 1/3)) (cos x))) * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (cos x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (/ (sin x) (cos x)) (cotan (+ eps x)))) (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x))))) * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (cos x))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (- (cos x) (* (cotan (+ eps x)) (sin x))) (/ (* (cos x) (cos (+ (/ 1 eps) (/ 1 x)))) (- (sin (+ (/ 1 eps) (/ 1 x)))))) * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cube (- (cos x) (* (- (/ (sqr x) (pow eps 3)) (+ (* 1/3 eps) (* 1/3 x))) (sin x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ eps x))) (/ (- (/ (* x x) (cube eps)) (* 1/3 (+ eps x))) (* (/ (cos x) (sin x)) (cotan (+ eps x))))) * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cube (- (cos x) (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (sin x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ eps x))) (* (/ (/ (sin x) (cos x)) (cotan (+ eps x))) (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))))) * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cube (- (cos x) (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (sin x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ eps x))) (/ (* (cos (+ (/ 1 x) (/ 1 eps))) (/ (sin x) (cos x))) (* (- (cotan (+ eps x))) (sin (+ (/ 1 x) (/ 1 eps)))))) * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* (sin x) eps) (+ (/ (* (pow eps 3) (pow (cos x) 4)) (pow (sin x) 3)) (+ (/ (* eps (sqr (cos x))) (sin x)) (+ (* 1/3 (* (sin x) (pow eps 3))) (* 4/3 (/ (* (pow eps 3) (sqr (cos x))) (sin x))))))) (+ (/ (* (sqr eps) (pow (cos x) 3)) (sqr (sin x))) (* (sqr eps) (cos x)))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (/ (- (+ (+ (+ (* eps (sin x)) (* (* (* eps eps) (* eps 1/3)) (sin x))) (* (* 4/3 (/ (cube eps) (sin x))) (sqr (cos x)))) (+ (/ (cube eps) (/ (cube (sin x)) (pow (cos x) 4))) (/ (* (cos x) eps) (/ (sin x) (cos x))))) (+ (* (cos x) (* eps eps)) (* (* (/ eps (sin x)) (/ eps (sin x))) (cube (cos x))))) (* (cotan (+ eps x)) (cos x))) * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (/ (cos (/ 1 x)) (* (cotan (+ x eps)) (cos x))) (/ (/ (sin (/ 1 x)) (sin (+ (/ 1 x) (/ 1 eps)))) (/ (* (cotan (+ x eps)) (cos x)) (cos (+ (/ 1 x) (/ 1 eps)))))) * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cos (/ -1 x)) (/ (* (sin (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) (sin (- (+ (/ 1 eps) (/ 1 x)))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (- (cos (/ -1 x)) (/ (* (cos (+ (/ 1 eps) (/ 1 x))) (sin (/ -1 x))) (- (sin (+ (/ 1 eps) (/ 1 x)))))) (* (cotan (+ eps x)) (cos x))) * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (cos x)) (exp (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (exp (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (exp (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 14 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (log (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 16 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (exp (cos x)) (pow (exp (sin x)) (cotan (+ eps x)))) * [exit]simplify: Simplified to (/ (exp (cos x)) (pow (exp (sin x)) (cotan (+ eps x)))) * * * * [misc]progress: [ 17 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (cbrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 18 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cube (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (cube (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 19 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (sqrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 20 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (- (sin x)) (cotan (+ x eps))) * [exit]simplify: Simplified to (* (- (sin x)) (cotan (+ x eps))) * * * * [misc]progress: [ 21 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cos x) 3) (pow (* (cotan (+ x eps)) (sin x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (cube (cos x)) (cube (* (cotan (+ x eps)) (sin x)))) * [exit]simplify: Simplified to (- (cube (cos x)) (cube (* (cotan (+ x eps)) (sin x)))) * [enter]simplify: Simplifying (+ (sqr (cos x)) (+ (sqr (* (cotan (+ x eps)) (sin x))) (* (cos x) (* (cotan (+ x eps)) (sin x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ (+ (* (cotan (+ eps x)) (* (cos x) (sin x))) (sqr (cos x))) (sqr (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (+ (+ (* (cotan (+ eps x)) (* (cos x) (sin x))) (sqr (cos x))) (sqr (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 23 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (cos x)) (sqr (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (sqr (cos x)) (sqr (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (- (sqr (cos x)) (sqr (* (cotan (+ eps x)) (sin x)))) * [enter]simplify: Simplifying (+ (cos x) (* (cotan (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (* (cotan (+ eps x)) (sin x)) (cos x)) * [exit]simplify: Simplified to (+ (* (cotan (+ eps x)) (sin x)) (cos x)) * * * * [misc]progress: [ 24 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos x)) (sqrt (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (cotan (+ eps x)) (sin x))) (sqrt (cos x))) * [exit]simplify: Simplified to (+ (sqrt (* (cotan (+ eps x)) (sin x))) (sqrt (cos x))) * [enter]simplify: Simplifying (- (sqrt (cos x)) (sqrt (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (cos x)) (sqrt (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (- (sqrt (cos x)) (sqrt (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 25 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos x)) (* (sqrt (cotan (+ x eps))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (cotan (+ eps x))) (sqrt (sin x))) (sqrt (cos x))) * [exit]simplify: Simplified to (+ (* (sqrt (cotan (+ eps x))) (sqrt (sin x))) (sqrt (cos x))) * [enter]simplify: Simplifying (- (sqrt (cos x)) (* (sqrt (cotan (+ x eps))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (cos x)) (* (sqrt (cotan (+ eps x))) (sqrt (sin x)))) * [exit]simplify: Simplified to (- (sqrt (cos x)) (* (sqrt (cotan (+ eps x))) (sqrt (sin x)))) * * * * [misc]progress: [ 26 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ x eps)) * [exit]simplify: Simplified to (cos (+ x eps)) * [enter]simplify: Simplifying (sin (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (+ x eps)) * [exit]simplify: Simplified to (sin (+ x eps)) * * * * [misc]progress: [ 27 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (tan (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (tan (+ x eps)) * [exit]simplify: Simplified to (tan (+ x eps)) * * * * [misc]progress: [ 28 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cotan (+ x eps))) * [exit]simplify: Simplified to (log (cotan (+ x eps))) * * * * [misc]progress: [ 30 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cotan (+ x eps))) * [exit]simplify: Simplified to (exp (cotan (+ x eps))) * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cotan (+ 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 (cotan (+ x eps))) * [exit]simplify: Simplified to (cube (cotan (+ x eps))) * * * * [misc]progress: [ 33 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cotan (+ x eps))) * [exit]simplify: Simplified to (sqrt (cotan (+ x eps))) * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ x eps)) * [exit]simplify: Simplified to (cos (+ x eps)) * [enter]simplify: Simplifying (sin (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (+ x eps)) * [exit]simplify: Simplified to (sin (+ x eps)) * * * * [misc]progress: [ 36 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (tan (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (tan (+ x eps)) * [exit]simplify: Simplified to (tan (+ x eps)) * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cotan (+ x eps))) * [exit]simplify: Simplified to (log (cotan (+ x eps))) * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cotan (+ x eps))) * [exit]simplify: Simplified to (exp (cotan (+ x eps))) * * * * [misc]progress: [ 40 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cotan (+ 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 (cotan (+ x eps))) * [exit]simplify: Simplified to (cube (cotan (+ x eps))) * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cotan (+ x eps))) * [exit]simplify: Simplified to (sqrt (cotan (+ x eps))) * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (log (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (log (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (exp (cos x)) (pow (exp (sin x)) (cotan (+ eps x)))) * [exit]simplify: Simplified to (/ (exp (cos x)) (pow (exp (sin x)) (cotan (+ eps x)))) * * * * [misc]progress: [ 48 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ eps x)) (sin x))) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ eps x)) (sin x))) * * * * [misc]progress: [ 49 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (+ (sqrt (cos x)) (sqrt (* (cotan (+ x eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (cotan (+ eps x)) (sin x))) (sqrt (cos x))) * [exit]simplify: Simplified to (+ (sqrt (* (cotan (+ eps x)) (sin x))) (sqrt (cos x))) * [enter]simplify: Simplifying (cbrt (cube (- (sqrt (cos x)) (sqrt (* (cotan (+ x eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (- (sqrt (cos x)) (sqrt (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (- (sqrt (cos x)) (sqrt (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 50 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (+ (sqrt (cos x)) (* (sqrt (cotan (+ x eps))) (sqrt (sin x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (cotan (+ eps x))) (sqrt (sin x))) (sqrt (cos x))) * [exit]simplify: Simplified to (+ (* (sqrt (cotan (+ eps x))) (sqrt (sin x))) (sqrt (cos x))) * [enter]simplify: Simplifying (cbrt (cube (- (sqrt (cos x)) (* (sqrt (cotan (+ x eps))) (sqrt (sin x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (sqrt (cos x)) (* (sqrt (cotan (+ eps x))) (sqrt (sin x)))) * [exit]simplify: Simplified to (- (sqrt (cos x)) (* (sqrt (cotan (+ eps x))) (sqrt (sin x)))) * * * * [misc]progress: [ 51 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (cos x) (* (cotan (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (cbrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [enter]simplify: Simplifying (cbrt (* (- (cos x) (* (cotan (+ x eps)) (sin x))) (- (cos x) (* (cotan (+ x eps)) (sin x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqr (- (cos x) (* (cotan (+ eps x)) (sin x))))) * [exit]simplify: Simplified to (cbrt (sqr (- (cos x) (* (cotan (+ eps x)) (sin x))))) * * * * [misc]progress: [ 52 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ eps x)) (sin x))) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ eps x)) (sin x))) * * * * [misc]progress: [ 53 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (pow (cos x) 3) (pow (* (cotan (+ x eps)) (sin x)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (- (cube (cos x)) (cube (* (cotan (+ x eps)) (sin x)))) * [exit]simplify: Simplified to (- (cube (cos x)) (cube (* (cotan (+ x eps)) (sin x)))) * [enter]simplify: Simplifying (cbrt (cube (+ (sqr (cos x)) (+ (sqr (* (cotan (+ x eps)) (sin x))) (* (cos x) (* (cotan (+ x eps)) (sin x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (cos x) (sin x)) (cotan (+ eps x))) (sqr (cos x))) (sqr (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (+ (+ (* (* (cos x) (sin x)) (cotan (+ eps x))) (sqr (cos x))) (sqr (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 54 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (sqr (cos x)) (sqr (* (cotan (+ x eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (* (- (cos x) (* (cotan (+ eps x)) (sin x))) (+ (* (cotan (+ eps x)) (sin x)) (cos x))) * [exit]simplify: Simplified to (* (- (cos x) (* (cotan (+ eps x)) (sin x))) (+ (* (cotan (+ eps x)) (sin x)) (cos x))) * [enter]simplify: Simplifying (cbrt (cube (+ (cos x) (* (cotan (+ x eps)) (sin x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (+ (* (cotan (+ eps x)) (sin x)) (cos x)) * [exit]simplify: Simplified to (+ (* (cotan (+ eps x)) (sin x)) (cos x)) * * * * [misc]progress: [ 55 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (cbrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (cube (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (cube (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 57 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cube (- (cos x) (* (cotan (+ x eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (sqrt (- (cos x) (* (cotan (+ eps x)) (sin x)))) * * * * [misc]progress: [ 58 / 58 ] 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 -1.1324884610140404e-37) #s(sp 1 eps -8.343087553984244e-186) #s(sp 2 eps -1.4036887096279737e-262) #s(sp 1 eps 4.0170806835946265e-42) #s(sp 0 eps +inf.0)) , with alts (# # #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 eps -1.1324884610140404e-37)) (#s(sp 1 eps 4.0170806835946265e-42) . #s(sp 0 eps +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 eps -1.1324884610140404e-37) . #s(sp 1 eps -8.343087553984244e-186)) (#s(sp 2 eps -1.4036887096279737e-262) . #s(sp 1 eps 4.0170806835946265e-42))) * [misc]splitpoints: intervals are: ((#s(sp 1 eps -8.343087553984244e-186) . #s(sp 2 eps -1.4036887096279737e-262))) * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x))))) * [exit]simplify: Simplified to (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x))))) * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [exit]simplify: Simplified to (tan x) * [enter]simplify: Simplifying (/ (- (+ (* (sin x) eps) (+ (/ (* (pow eps 3) (pow (cos x) 4)) (pow (sin x) 3)) (+ (/ (* eps (sqr (cos x))) (sin x)) (+ (* 1/3 (* (sin x) (pow eps 3))) (* 4/3 (/ (* (pow eps 3) (sqr (cos x))) (sin x))))))) (+ (/ (* (sqr eps) (pow (cos x) 3)) (sqr (sin x))) (* (sqr eps) (cos x)))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (/ (- (+ (+ (+ (* eps (sin x)) (* (* (* eps eps) (* eps 1/3)) (sin x))) (* (* 4/3 (/ (cube eps) (sin x))) (sqr (cos x)))) (+ (/ (cube eps) (/ (cube (sin x)) (pow (cos x) 4))) (/ (* (cos x) eps) (/ (sin x) (cos x))))) (+ (* (cos x) (* eps eps)) (* (* (/ eps (sin x)) (/ eps (sin x))) (cube (cos x))))) (* (cotan (+ eps x)) (cos x))) * [enter]simplify: Simplifying (/ (- (cos x) (* (/ (cos (+ (/ 1 eps) (/ 1 x))) (sin (+ (/ 1 eps) (/ 1 x)))) (sin x))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ eps x))) (/ (/ (cos (+ (/ 1 x) (/ 1 eps))) (sin (+ (/ 1 x) (/ 1 eps)))) (* (cotan (+ eps x)) (/ (cos x) (sin x))))) * [enter]simplify: Simplifying (cbrt (- (tan (+ x eps)) (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (cbrt (- (tan (+ x eps)) (tan x))) * [enter]simplify: Simplifying (cbrt (cotan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * [exit]simplify: Simplified to (cbrt (cotan (+ x eps))) * [enter]simplify: Simplifying (- (cos x) (* (cotan (+ eps x)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ eps x)) (sin x))) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ eps x)) (sin x))) * [enter]simplify: Simplifying (/ (* (cos x) (cos (+ (/ 1 eps) (/ 1 x)))) (- (sin (+ (/ 1 eps) (/ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (* (cos (+ (/ 1 x) (/ 1 eps))) (cos x)) (- (sin (+ (/ 1 x) (/ 1 eps))))) * [exit]simplify: Simplified to (/ (* (cos (+ (/ 1 x) (/ 1 eps))) (cos x)) (- (sin (+ (/ 1 x) (/ 1 eps))))) * [enter]simplify: Simplifying (/ (- (cos x) (* (/ (cos (- (+ (/ 1 eps) (/ 1 x)))) (sin (- (+ (/ 1 eps) (/ 1 x))))) (sin x))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ eps x))) (/ (* (cos (+ (/ 1 x) (/ 1 eps))) (/ (sin x) (cotan (+ eps x)))) (* (sin (+ (/ 1 x) (/ 1 eps))) (- (cos x))))) * [enter]simplify: Simplifying (sin (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (+ x eps)) * [exit]simplify: Simplified to (sin (+ x eps)) * [enter]simplify: Simplifying (cos (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ x eps)) * [exit]simplify: Simplified to (cos (+ x eps)) * [enter]simplify: Simplifying (/ (- (cos x) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (/ 1 (cotan (+ x eps))) (* (/ (/ (sin (/ 1 x)) (cotan (+ x eps))) (sin (+ (/ 1 x) (/ 1 eps)))) (/ (cos (+ (/ 1 x) (/ 1 eps))) (cos x)))) * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (tan x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (tan x)) * [enter]simplify: Simplifying (/ (- (cos (/ 1 x)) (/ (* (sin (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) (sin (+ (/ 1 eps) (/ 1 x))))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (/ (cos (/ 1 x)) (* (cotan (+ x eps)) (cos x))) (/ (/ (sin (/ 1 x)) (sin (+ (/ 1 x) (/ 1 eps)))) (/ (* (cotan (+ x eps)) (cos x)) (cos (+ (/ 1 x) (/ 1 eps)))))) * [enter]simplify: Simplifying (* (cbrt (cotan (+ x eps))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (cotan (+ x eps)))) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (cotan (+ x eps)))) * [enter]simplify: Simplifying (/ (- (+ (* (sin x) eps) (+ (/ (* (pow eps 3) (pow (cos x) 4)) (pow (sin x) 3)) (+ (/ (* eps (sqr (cos x))) (sin x)) (+ (* 1/3 (* (sin x) (pow eps 3))) (* 4/3 (/ (* (pow eps 3) (sqr (cos x))) (sin x))))))) (+ (/ (* (sqr eps) (pow (cos x) 3)) (sqr (sin x))) (* (sqr eps) (cos x)))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (/ (- (+ (+ (+ (* eps (sin x)) (* (* (* eps eps) (* eps 1/3)) (sin x))) (* (* 4/3 (/ (cube eps) (sin x))) (sqr (cos x)))) (+ (/ (cube eps) (/ (cube (sin x)) (pow (cos x) 4))) (/ (* (cos x) eps) (/ (sin x) (cos x))))) (+ (* (cos x) (* eps eps)) (* (* (/ eps (sin x)) (/ eps (sin x))) (cube (cos x))))) (* (cotan (+ eps x)) (cos x))) * [enter]simplify: Simplifying (+ eps (* (pow eps 4) (cube x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (+ eps (* (pow eps 4) (cube x))) * [exit]simplify: Simplified to (+ eps (* (pow eps 4) (cube x))) * [enter]simplify: Simplifying (* (* x x) (cube eps)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (cube eps) (* x x)) * [exit]simplify: Simplified to (* (cube eps) (* x x)) * [enter]simplify: Simplifying (/ (- (+ (* (sin x) eps) (+ (/ (* (pow eps 3) (pow (cos x) 4)) (pow (sin x) 3)) (+ (/ (* eps (sqr (cos x))) (sin x)) (+ (* 1/3 (* (sin x) (pow eps 3))) (* 4/3 (/ (* (pow eps 3) (sqr (cos x))) (sin x))))))) (+ (/ (* (sqr eps) (pow (cos x) 3)) (sqr (sin x))) (* (sqr eps) (cos x)))) (* (cotan (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (/ (- (+ (+ (+ (* eps (sin x)) (* (* (* eps eps) (* eps 1/3)) (sin x))) (* (* 4/3 (/ (cube eps) (sin x))) (sqr (cos x)))) (+ (/ (cube eps) (/ (cube (sin x)) (pow (cos x) 4))) (/ (* (cos x) eps) (/ (sin x) (cos x))))) (+ (* (cos x) (* eps eps)) (* (* (/ eps (sin x)) (/ eps (sin x))) (cube (cos x))))) (* (cotan (+ eps x)) (cos x))) * [enter]simplify: Simplifying (+ eps (* (pow eps 4) (cube x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (+ eps (* (pow eps 4) (cube x))) * [exit]simplify: Simplified to (+ eps (* (pow eps 4) (cube x))) * [enter]simplify: Simplifying (* (* x x) (cube eps)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (cube eps) (* x x)) * [exit]simplify: Simplified to (* (cube eps) (* x x))