* [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 / 3 ] 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 (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) -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))) (* (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (- (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))) (* (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (- (* 1/2 (cos eps))) (cos eps))) (* (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) (/ (- (sin eps)) (cos eps))))) into (+ 1/3 (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))))) * [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 (+ (+ 1/3 (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))))) -1/3) into (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps))))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps))))) in eps * [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]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]backup-simplify: Simplify (+ (pow eps 4) 0) 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 3) (sqr x)) (* (pow eps 4) (pow x 3)))) * [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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 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]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (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 x) (/ 1 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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 x) (/ 1 eps)))) into (sin (- (+ (/ 1 x) (/ 1 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 x) (/ 1 eps)))) into (cos (- (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 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 -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 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * * [misc]progress: [ 2 / 3 ] 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 (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [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 0) 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))) (* (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (- (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 (+ (* (pow eps 3) (sqr x)) 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 x) (/ 1 eps)))) into (sin (- (+ (/ 1 x) (/ 1 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 x) (/ 1 eps)))) into (cos (- (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (tan x) in (x) around 0 * [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) 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 1 into 1 * [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 (+ (* -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 (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (+ (* 2/15 (pow x 5)) (+ (* 1/3 (pow x 3)) (* 1 x))) into (+ (* 2/15 (pow x 5)) (+ (* 1/3 (pow x 3)) x)) * [misc]approximate: Taking taylor expansion of (tan (/ 1 x)) in (x) around 0 * [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)) 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 (- (/ 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 (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 (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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 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 (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (tan (/ 1 (- x))) in (x) around 0 * [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))) 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 (- (/ 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 (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 (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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 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 (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ eps (+ (* (pow eps 3) (sqr x)) (* (pow eps 4) (pow x 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (fma (* x (pow eps 4)) (* x x) (fma (* x x) (cube eps) eps)) * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (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 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (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 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ eps (+ (* (pow eps 3) (sqr x)) x)) (tan x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (fma (* eps (* eps x)) (* eps x) (- (+ x eps) (tan x))) * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (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 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (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 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (+ (* 2/15 (pow x 5)) (+ (* 1/3 (pow x 3)) x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (fma (* x 1/3) (sqr x) (fma 2/15 (pow x 5) x))) * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (tan (+ x eps)) (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (expm1 (- (tan (+ x eps)) (tan x))) * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (tan (+ x eps)) (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (log1p (- (tan (+ x eps)) (tan x))) * * * * [misc]progress: [ 12 / 50 ] 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: [ 13 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 50 ] 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: [ 15 / 50 ] 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: [ 16 / 50 ] 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: [ 17 / 50 ] 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: [ 18 / 50 ] 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: [ 19 / 50 ] 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: [ 20 / 50 ] 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: [ 21 / 50 ] 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 (+ eps x)) (sin x))) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ eps x)) (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: [ 22 / 50 ] 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 (+ eps x))) * [exit]simplify: Simplified to (- (cotan x) (cotan (+ eps x))) * [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: [ 23 / 50 ] 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: [ 24 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 50 ] 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 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (fma (tan x) (+ (tan x) (tan (+ x eps))) (* (tan (+ x eps)) (tan (+ x eps)))) * [exit]simplify: Simplified to (fma (tan x) (+ (tan x) (tan (+ x eps))) (* (tan (+ x eps)) (tan (+ x eps)))) * * * * [misc]progress: [ 26 / 50 ] 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) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (- (* (tan (+ x eps)) (tan (+ x eps))) (* (tan x) (tan x))) * [exit]simplify: Simplified to (- (* (tan (+ x eps)) (tan (+ x eps))) (* (tan x) (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: [ 27 / 50 ] 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 eps))) (sqrt (tan x))) * [exit]simplify: Simplified to (+ (sqrt (tan (+ x eps))) (sqrt (tan x))) * [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: [ 28 / 50 ] 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: [ 29 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (+ x eps))) * [exit]simplify: Simplified to (expm1 (tan (+ x eps))) * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (+ x eps))) * [exit]simplify: Simplified to (log1p (tan (+ x eps))) * * * * [misc]progress: [ 31 / 50 ] 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: [ 32 / 50 ] 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: [ 33 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 50 ] 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: [ 35 / 50 ] 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: [ 36 / 50 ] 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: [ 37 / 50 ] 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: [ 38 / 50 ] 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: [ 39 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (tan x)) * [exit]simplify: Simplified to (expm1 (tan x)) * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (tan x)) * [exit]simplify: Simplified to (log1p (tan x)) * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [exit]simplify: Simplified to (cos x) * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cotan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cotan x) * [exit]simplify: Simplified to (cotan x) * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (tan x)) * [exit]simplify: Simplified to (log (tan x)) * * * * [misc]progress: [ 46 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (tan x)) * [exit]simplify: Simplified to (exp (tan x)) * * * * [misc]progress: [ 47 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (tan x)) * [exit]simplify: Simplified to (cbrt (tan x)) * * * * [misc]progress: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (tan x)) * [exit]simplify: Simplified to (cube (tan x)) * * * * [misc]progress: [ 49 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [exit]simplify: Simplified to (sqrt (tan x)) * * * * [misc]progress: [ 50 / 50 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (tan (+ x eps)) (/ (sin x) (cos x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (tan (+ x eps)) (/ (sin x) (cos 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 (/ (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)) (/ (sin x) (cos 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 (/ (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)) (/ (sin x) (cos 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 (/ (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 (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) -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))) (* (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (- (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))) (* (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (- (* 1/2 (cos eps))) (cos eps))) (* (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) (/ (- (sin eps)) (cos eps))))) into (+ 1/3 (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))))) * [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 (+ (+ 1/3 (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))))) -1/3) into (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps))))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps))))) in eps * [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]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]backup-simplify: Simplify (+ (pow eps 4) 0) 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 3) (sqr x)) (* (pow eps 4) (pow x 3)))) * [misc]approximate: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (/ (sin (/ 1 x)) (cos (/ 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 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))) (/ (sin (/ 1 x)) (cos (/ 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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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))) (/ (sin (/ 1 x)) (cos (/ 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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 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]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (/ (sin (/ 1 (- x))) (cos (/ 1 (- x))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (/ (sin (/ 1 (- x))) (cos (/ 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 x) (/ 1 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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 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)))) (/ (sin (/ 1 (- x))) (cos (/ 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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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)))) (/ (sin (/ 1 (- x))) (cos (/ 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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 x) (/ 1 eps)))) into (sin (- (+ (/ 1 x) (/ 1 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 x) (/ 1 eps)))) into (cos (- (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 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 -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 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * * [misc]progress: [ 2 / 3 ] 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 (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [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 0) 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))) (* (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (- (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 (+ (* (pow eps 3) (sqr x)) 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 x) (/ 1 eps)))) into (sin (- (+ (/ 1 x) (/ 1 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 x) (/ 1 eps)))) into (cos (- (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (sin x) (cos x)) in (x) around 0 * [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 (/ (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 1 into 1 * [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 (+ (* -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 (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (+ (* 2/15 (pow x 5)) (+ (* 1/3 (pow x 3)) (* 1 x))) into (+ (* 2/15 (pow x 5)) (+ (* 1/3 (pow x 3)) x)) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 x)) (cos (/ 1 x))) in (x) around 0 * [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 (/ (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 (- (/ 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 (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 (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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 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 (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) in (x) around 0 * [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 (/ (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 (- (/ 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 (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 (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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 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 (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ eps (+ (* (pow eps 3) (sqr x)) (* (pow eps 4) (pow x 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (fma (* x (pow eps 4)) (* x x) (fma (* x x) (cube eps) eps)) * * * * [misc]progress: [ 2 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ eps (+ (* (pow eps 3) (sqr x)) x)) (/ (sin x) (cos x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (- (fma (cube eps) (* x x) (+ x eps)) (/ (sin x) (cos x))) * * * * [misc]progress: [ 5 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin x) (cos 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 x) (cos x))) * * * * [misc]progress: [ 6 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin x) (cos x))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (- (/ (- (sin (+ (/ 1 eps) (/ 1 x)))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin x) (cos x))) * * * * [misc]progress: [ 7 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (+ (* 2/15 (pow x 5)) (+ (* 1/3 (pow x 3)) x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (fma (* x 1/3) (sqr x) (fma 2/15 (pow x 5) x))) * * * * [misc]progress: [ 8 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * * * * [misc]progress: [ 9 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * * [misc]progress: [ 10 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (expm1 (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 11 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (log1p (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 12 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (tan (+ x eps))) (exp (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 13 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (log (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 15 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 16 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (cbrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 17 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cube (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (cube (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 18 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (sqrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 19 / 59 ] 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: [ 20 / 59 ] 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 (+ eps x)) (sin x))) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ eps x)) (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: [ 21 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (/ (sin x) (cos x))) * [exit]simplify: Simplified to (- (/ (sin x) (cos x))) * * * * [misc]progress: [ 22 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (tan (+ x eps)) 3) (pow (/ (sin x) (cos x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (cube (tan (+ x eps))) (cube (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (- (cube (tan (+ x eps))) (cube (/ (sin x) (cos x)))) * [enter]simplify: Simplifying (+ (sqr (tan (+ x eps))) (+ (sqr (/ (sin x) (cos x))) (* (tan (+ x eps)) (/ (sin x) (cos x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (fma (+ (tan (+ x eps)) (/ (sin x) (cos x))) (/ (sin x) (cos x)) (* (tan (+ x eps)) (tan (+ x eps)))) * [exit]simplify: Simplified to (fma (+ (tan (+ x eps)) (/ (sin x) (cos x))) (/ (sin x) (cos x)) (* (tan (+ x eps)) (tan (+ x eps)))) * * * * [misc]progress: [ 24 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (tan (+ x eps))) (sqr (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (* (tan (+ x eps)) (tan (+ x eps))) (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (- (* (tan (+ x eps)) (tan (+ x eps))) (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) * [enter]simplify: Simplifying (+ (tan (+ x eps)) (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (/ (sin x) (cos x)) (tan (+ x eps))) * [exit]simplify: Simplified to (+ (/ (sin x) (cos x)) (tan (+ x eps))) * * * * [misc]progress: [ 25 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (+ (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * [enter]simplify: Simplifying (- (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * * * * [misc]progress: [ 26 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (tan (+ x eps))) (/ (sqrt (sin x)) (sqrt (cos x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (tan (+ x eps))) (/ (sqrt (sin x)) (sqrt (cos x)))) * [exit]simplify: Simplified to (+ (sqrt (tan (+ x eps))) (/ (sqrt (sin x)) (sqrt (cos x)))) * [enter]simplify: Simplifying (- (sqrt (tan (+ x eps))) (/ (sqrt (sin x)) (sqrt (cos x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (/ (sqrt (sin x)) (sqrt (cos x)))) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (/ (sqrt (sin x)) (sqrt (cos x)))) * * * * [misc]progress: [ 27 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin x) (cos x))) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin x) (cos x))) * * * * [misc]progress: [ 28 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (+ x eps))) * [exit]simplify: Simplified to (expm1 (tan (+ x eps))) * * * * [misc]progress: [ 29 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (+ x eps))) * [exit]simplify: Simplified to (log1p (tan (+ x eps))) * * * * [misc]progress: [ 30 / 59 ] 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: [ 31 / 59 ] 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: [ 32 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 59 ] 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: [ 34 / 59 ] 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: [ 35 / 59 ] 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: [ 36 / 59 ] 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: [ 37 / 59 ] 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: [ 38 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (sin x) (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (sin x) (cos x))) * [exit]simplify: Simplified to (expm1 (/ (sin x) (cos x))) * * * * [misc]progress: [ 40 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (sin x) (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (sin x) (cos x))) * [exit]simplify: Simplified to (log1p (/ (sin x) (cos x))) * * * * [misc]progress: [ 41 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin x)) (log (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (log (sin x)) (log (cos x))) * [exit]simplify: Simplified to (- (log (sin x)) (log (cos x))) * * * * [misc]progress: [ 45 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sin x) (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (/ (sin x) (cos x))) * [exit]simplify: Simplified to (log (/ (sin x) (cos x))) * * * * [misc]progress: [ 46 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sin x) (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (sin x) (cos x))) * [exit]simplify: Simplified to (exp (/ (sin x) (cos x))) * * * * [misc]progress: [ 47 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sin x)) (cube (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cube (/ (sin x) (cos x))) * [exit]simplify: Simplified to (cube (/ (sin x) (cos x))) * * * * [misc]progress: [ 48 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sin x) (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (cos x))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (cos x))) * * * * [misc]progress: [ 49 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sin x) (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cube (/ (sin x) (cos x))) * [exit]simplify: Simplified to (cube (/ (sin x) (cos x))) * * * * [misc]progress: [ 50 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin x)) (cbrt (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (cbrt (cos x))) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (cbrt (cos x))) * * * * [misc]progress: [ 51 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin x) (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (cos x))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (cos x))) * * * * [misc]progress: [ 52 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin x)) (sqrt (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (cos x))) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (cos x))) * * * * [misc]progress: [ 53 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * [enter]simplify: Simplifying (- (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos x)) * [exit]simplify: Simplified to (- (cos x)) * * * * [misc]progress: [ 54 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sin x) (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sin x) (cos x)) * [exit]simplify: Simplified to (/ (sin x) (cos x)) * * * * [misc]progress: [ 55 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (cos x)) * [exit]simplify: Simplified to (/ 1 (cos x)) * * * * [misc]progress: [ 57 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * * * * [misc]progress: [ 58 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sin x) 1) * [exit]simplify: Simplified to (/ (sin x) 1) * * * * [misc]progress: [ 59 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (tan (+ x eps)) (* (sin x) (/ 1 (cos x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (tan (+ x eps)) (* (sin x) (/ 1 (cos 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 (* (sin x) (/ 1 (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 (/ 1 (cos 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]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 (/ 1 (cos x)) into (/ 1 (cos x)) * [misc]taylor: Taking taylor expansion of (- (tan (+ x eps)) (* (sin x) (/ 1 (cos 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 (* (sin x) (/ 1 (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 (/ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (tan (+ x eps)) (* (sin x) (/ 1 (cos 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 (* (sin x) (/ 1 (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 (/ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) -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))) (* (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (- (sin eps)) (cos eps))))) into (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (+ (* 1 0) (* 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))) (* (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (- (* 1/2 (cos eps))) (cos eps))) (* (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) (/ (- (sin eps)) (cos eps))))) into (+ 1/3 (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/2 (/ 0 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 1/2) (+ (* 0 0) (* (- 1/6) 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ (+ 1/3 (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps)))))) -1/3) into (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps))))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (* 4/3 (/ (sqr (sin eps)) (sqr (cos eps))))) in eps * [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]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]backup-simplify: Simplify (+ (pow eps 4) 0) 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 3) (sqr x)) (* (pow eps 4) (pow x 3)))) * [misc]approximate: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (* (sin (/ 1 x)) (/ 1 (cos (/ 1 x))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (* (sin (/ 1 x)) (/ 1 (cos (/ 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (/ 1 (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 (/ 1 (cos (/ 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]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 (/ 1 (cos (/ 1 x))) into (/ 1 (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (* (sin (/ 1 x)) (/ 1 (cos (/ 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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (/ 1 (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 (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ 1 x))) into (/ 1 (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 x) (/ 1 eps))) (* (sin (/ 1 x)) (/ 1 (cos (/ 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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (/ 1 (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 (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ 1 x))) into (/ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (/ 1 (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 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 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]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ 1 (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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ 1 (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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (* (sin (/ 1 (- x))) (/ 1 (cos (/ 1 (- x)))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (* (sin (/ 1 (- x))) (/ 1 (cos (/ 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 x) (/ 1 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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (/ 1 (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 (/ 1 (cos (/ 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]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 (/ 1 (cos (/ -1 x))) into (/ 1 (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (* (sin (/ 1 (- x))) (/ 1 (cos (/ 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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (/ 1 (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 (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ -1 x))) into (/ 1 (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (tan (+ (/ 1 (- x)) (/ 1 (- eps)))) (* (sin (/ 1 (- x))) (/ 1 (cos (/ 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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (/ 1 (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 (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ -1 x))) into (/ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (/ 1 (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 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 x) (/ 1 eps)))) into (sin (- (+ (/ 1 x) (/ 1 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 x) (/ 1 eps)))) into (cos (- (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 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 -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 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ 1 (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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ 1 (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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * * [misc]progress: [ 2 / 4 ] 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 (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [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 0) 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))) (* (+ 1 (/ (sqr (sin eps)) (sqr (cos eps)))) (/ (- (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 (+ (* (pow eps 3) (sqr x)) 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 eps))) * [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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 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 x) (/ 1 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 x) (/ 1 eps))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 x) (/ 1 eps)))) (+ (* (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))) (* 0 (/ 0 (cos (+ (/ 1 x) (/ 1 eps))))))) 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) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) into (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 x) (/ 1 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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [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 x) (/ 1 eps)))) * [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 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 x) (/ 1 eps)))) into (sin (- (+ (/ 1 x) (/ 1 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 x) (/ 1 eps)))) into (cos (- (+ (/ 1 x) (/ 1 eps)))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [misc]backup-simplify: Simplify (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps))))) (+ (* (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))) (* 0 (/ 0 (cos (- (+ (/ 1 x) (/ 1 eps)))))))) 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) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) into (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin x) (/ 1 (cos x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin x) (/ 1 (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 (/ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sin x) (/ 1 (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 (/ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 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 (- (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (+ (* 1 0) (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/2 (/ 0 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 1/2) (+ (* 0 0) (* (- 1/6) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/2 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 5/24 * [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 (+ (* 0 5/24) (+ (* 1 0) (+ (* 0 1/2) (+ (* (- 1/6) 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/2 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 5/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 5/24) (+ (* 0 0) (+ (* (- 1/6) 1/2) (+ (* 0 0) (* 1/120 1)))))) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (+ (* 2/15 (pow x 5)) (+ (* 1/3 (pow x 3)) (* 1 x))) into (+ (* 2/15 (pow x 5)) (+ (* 1/3 (pow x 3)) x)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 x)) (/ 1 (cos (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (/ 1 (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 (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ 1 x))) into (/ 1 (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (/ 1 (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 (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ 1 x))) into (/ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (/ 1 (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 (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ 1 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- x))) (/ 1 (cos (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (/ 1 (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 (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ -1 x))) into (/ 1 (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (/ 1 (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 (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ -1 x))) into (/ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (/ 1 (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 (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ 1 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/2 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 5/24 * [misc]backup-simplify: Simplify 5/24 into 5/24 * [misc]backup-simplify: Simplify (+ (* 5/24 (pow x 4)) (+ (* 1/2 (sqr x)) 1)) into (+ (* 1/2 (sqr x)) (+ (* 5/24 (pow x 4)) 1)) * [misc]approximate: Taking taylor expansion of (/ 1 (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ 1 x))) into (/ 1 (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ 1 x))) into (/ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1 x))) into (/ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 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 (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 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 (- (+ (* (/ 1 (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 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 (/ 1 (cos (/ 1 x))) into (/ 1 (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ -1 x))) into (/ 1 (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (cos (/ 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]backup-simplify: Simplify (/ 1 (cos (/ -1 x))) into (/ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1 x))) into (/ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 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 (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 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 (- (+ (* (/ 1 (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 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 (/ 1 (cos (/ -1 x))) into (/ 1 (cos (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ eps (+ (* (pow eps 3) (sqr x)) (* (pow eps 4) (pow x 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (fma (* x (pow eps 4)) (* x x) (fma (* x x) (cube eps) eps)) * * * * [misc]progress: [ 2 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (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 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (/ (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 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ eps (+ (* (pow eps 3) (sqr x)) x)) (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (fma (* x x) (cube eps) (+ x eps)) (/ (sin x) (cos x))) * * * * [misc]progress: [ 5 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x)))) (/ (sin x) (cos x))) * * * * [misc]progress: [ 6 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (- (+ (/ 1 x) (/ 1 eps))))) (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (- (- (/ (sin (+ (/ 1 eps) (/ 1 x))) (cos (+ (/ 1 eps) (/ 1 x))))) (/ (sin x) (cos x))) * * * * [misc]progress: [ 7 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (+ (* 2/15 (pow x 5)) (+ (* 1/3 (pow x 3)) x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (fma (* x 1/3) (sqr x) (fma 2/15 (pow x 5) x))) * * * * [misc]progress: [ 8 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * * * * [misc]progress: [ 9 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * * [misc]progress: [ 10 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (* (sin x) (+ (* 1/2 (sqr x)) (+ (* 5/24 (pow x 4)) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (fma (fma (pow x 4) 5/24 (* (* x 1/2) x)) (sin x) (sin x))) * * * * [misc]progress: [ 11 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (* (sin x) (/ 1 (cos (/ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin x) (cos (/ 1 x)))) * * * * [misc]progress: [ 12 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (+ x eps)) (* (sin x) (/ 1 (cos (/ -1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin x) (cos (/ -1 x)))) * * * * [misc]progress: [ 13 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (tan (+ x eps)) (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (expm1 (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (expm1 (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 14 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (tan (+ x eps)) (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (log1p (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (log1p (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 15 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (tan (+ x eps))) (exp (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 16 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (tan (+ x eps)) (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (log (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (log (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 18 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (tan (+ x eps)) (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (exp (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 19 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (tan (+ x eps)) (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (cbrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 20 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (tan (+ x eps)) (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (cube (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (cube (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 21 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (tan (+ x eps)) (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (sqrt (- (tan (+ x eps)) (/ (sin x) (cos x)))) * * * * [misc]progress: [ 22 / 78 ] 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: [ 23 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin (+ x eps)) (cos x)) (* (cos (+ x eps)) (* (sin x) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (cos x) (sin (+ x eps))) (* (sin x) (cos (+ x eps)))) * [exit]simplify: Simplified to (- (* (cos x) (sin (+ x eps))) (* (sin x) (cos (+ x eps)))) * [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: [ 24 / 78 ] 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 (+ eps x)) (sin x))) * [exit]simplify: Simplified to (- (cos x) (* (cotan (+ eps x)) (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: [ 25 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (cos x)) (* (cotan (+ x eps)) (* (sin x) 1))) * * [misc]simplify: iters left: 6 (11 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 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (cos x) (* (sin x) (cotan (+ eps x)))) * [exit]simplify: Simplified to (- (cos x) (* (sin x) (cotan (+ eps 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: [ 26 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (- (sin x)) (cos x)) * [exit]simplify: Simplified to (/ (- (sin x)) (cos x)) * * * * [misc]progress: [ 27 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (tan (+ x eps)) 3) (pow (* (sin x) (/ 1 (cos x))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (- (cube (tan (+ x eps))) (cube (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (- (cube (tan (+ x eps))) (cube (/ (sin x) (cos x)))) * [enter]simplify: Simplifying (+ (sqr (tan (+ x eps))) (+ (sqr (* (sin x) (/ 1 (cos x)))) (* (tan (+ x eps)) (* (sin x) (/ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (fma (/ (sin x) (cos x)) (+ (/ (sin x) (cos x)) (tan (+ x eps))) (* (tan (+ x eps)) (tan (+ x eps)))) * [exit]simplify: Simplified to (fma (/ (sin x) (cos x)) (+ (/ (sin x) (cos x)) (tan (+ x eps))) (* (tan (+ x eps)) (tan (+ x eps)))) * * * * [misc]progress: [ 29 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (tan (+ x eps))) (sqr (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (- (tan (+ x eps)) (/ (sin x) (cos x))) (+ (tan (+ x eps)) (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (* (- (tan (+ x eps)) (/ (sin x) (cos x))) (+ (tan (+ x eps)) (/ (sin x) (cos x)))) * [enter]simplify: Simplifying (+ (tan (+ x eps)) (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (+ (/ (sin x) (cos x)) (tan (+ x eps))) * [exit]simplify: Simplified to (+ (/ (sin x) (cos x)) (tan (+ x eps))) * * * * [misc]progress: [ 30 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (tan (+ x eps))) (sqrt (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (+ (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (+ (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * [enter]simplify: Simplifying (- (sqrt (tan (+ x eps))) (sqrt (* (sin x) (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (sqrt (/ (sin x) (cos x)))) * * * * [misc]progress: [ 31 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (tan (+ x eps))) (* (sqrt (sin x)) (sqrt (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (fma (sqrt (/ 1 (cos x))) (sqrt (sin x)) (sqrt (tan (+ x eps)))) * [exit]simplify: Simplified to (fma (sqrt (/ 1 (cos x))) (sqrt (sin x)) (sqrt (tan (+ x eps)))) * [enter]simplify: Simplifying (- (sqrt (tan (+ x eps))) (* (sqrt (sin x)) (sqrt (/ 1 (cos x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (* (sqrt (sin x)) (sqrt (/ 1 (cos x))))) * [exit]simplify: Simplified to (- (sqrt (tan (+ x eps))) (* (sqrt (sin x)) (sqrt (/ 1 (cos x))))) * * * * [misc]progress: [ 32 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (+ x eps))) * [exit]simplify: Simplified to (expm1 (tan (+ x eps))) * * * * [misc]progress: [ 33 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (+ x eps))) * [exit]simplify: Simplified to (log1p (tan (+ x eps))) * * * * [misc]progress: [ 34 / 78 ] 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: [ 35 / 78 ] 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: [ 36 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 78 ] 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: [ 38 / 78 ] 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: [ 39 / 78 ] 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: [ 40 / 78 ] 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: [ 41 / 78 ] 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: [ 42 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (expm1 (/ (sin x) (cos x))) * [exit]simplify: Simplified to (expm1 (/ (sin x) (cos x))) * * * * [misc]progress: [ 44 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log1p (/ (sin x) (cos x))) * [exit]simplify: Simplified to (log1p (/ (sin x) (cos x))) * * * * [misc]progress: [ 45 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (/ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sin x) (cos x)) * [exit]simplify: Simplified to (/ (sin x) (cos x)) * * * * [misc]progress: [ 46 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin x)) (- (log (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (- (log (cos x)))) * [exit]simplify: Simplified to (+ (log (sin x)) (- (log (cos x)))) * * * * [misc]progress: [ 48 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin x)) (log (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (- (log (cos x)))) * [exit]simplify: Simplified to (+ (log (sin x)) (- (log (cos x)))) * * * * [misc]progress: [ 49 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (log (/ (sin x) (cos x))) * [exit]simplify: Simplified to (log (/ (sin x) (cos x))) * * * * [misc]progress: [ 50 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (exp (/ (sin x) (cos x))) * [exit]simplify: Simplified to (exp (/ (sin x) (cos x))) * * * * [misc]progress: [ 51 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sin x)) (cube (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (cube (sin x)) (cube (cos x))) * [exit]simplify: Simplified to (/ (cube (sin x)) (cube (cos x))) * * * * [misc]progress: [ 52 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (cos x))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (cos x))) * * * * [misc]progress: [ 53 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (cube (/ (sin x) (cos x))) * [exit]simplify: Simplified to (cube (/ (sin x) (cos x))) * * * * [misc]progress: [ 54 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin x)) (cbrt (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (/ 1 (cos x)))) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (/ 1 (cos x)))) * * * * [misc]progress: [ 55 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin x) (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (cos x))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (cos x))) * * * * [misc]progress: [ 56 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin x)) (sqrt (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sqrt (/ 1 (cos x)))) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sqrt (/ 1 (cos x)))) * * * * [misc]progress: [ 57 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) 1) * * [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 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) 1) * * [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: [ 61 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (/ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sin x) (cos x)) * [exit]simplify: Simplified to (/ (sin x) (cos x)) * * * * [misc]progress: [ 62 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) 1) * * [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: [ 63 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (cos x))) * [exit]simplify: Simplified to (expm1 (/ 1 (cos x))) * * * * [misc]progress: [ 65 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log1p (/ 1 (cos x))) * [exit]simplify: Simplified to (log1p (/ 1 (cos x))) * * * * [misc]progress: [ 66 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (log (cos x))) * [exit]simplify: Simplified to (- (log (cos x))) * * * * [misc]progress: [ 69 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (cos x))) * [exit]simplify: Simplified to (- (log (cos x))) * * * * [misc]progress: [ 70 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (/ 1 (cos x))) * [exit]simplify: Simplified to (exp (/ 1 (cos x))) * * * * [misc]progress: [ 71 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cos x))) * [exit]simplify: Simplified to (cbrt (/ 1 (cos x))) * * * * [misc]progress: [ 72 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (/ 1 (cos x))) * [exit]simplify: Simplified to (cube (/ 1 (cos x))) * * * * [misc]progress: [ 73 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (cos x))) * [exit]simplify: Simplified to (sqrt (/ 1 (cos x))) * * * * [misc]progress: [ 74 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos x)) * [exit]simplify: Simplified to (- (cos x)) * * * * [misc]progress: [ 75 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (cos x)) * [exit]simplify: Simplified to (/ 1 (cos x)) * * * * [misc]progress: [ 77 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cos x) 1) * [exit]simplify: Simplified to (/ (cos x) 1) * * * * [misc]progress: [ 78 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (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)))) * [enter]simplify: Simplifying (* (cotan x) (sin (+ x eps))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cotan x) (sin (+ x eps))) * [exit]simplify: Simplified to (* (cotan x) (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 (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (tan x)) * [exit]simplify: Simplified to (cbrt (tan x)) * [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)) * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (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 (* (sqrt (sin x)) (sqrt (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sqrt (/ 1 (cos x)))) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sqrt (/ 1 (cos x)))) * [enter]simplify: Simplifying (/ (cbrt (sin x)) (cbrt (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (cbrt (cos x))) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (cbrt (cos x))) * [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))) * [enter]simplify: Simplifying (expm1 (- (tan (+ x eps)) (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (expm1 (- (tan (+ x eps)) (tan x))) * [enter]simplify: Simplifying (* (cbrt (sin x)) (cbrt (/ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (/ 1 (cos x)))) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (/ 1 (cos x)))) * [enter]simplify: Simplifying (- (/ (sin (+ (/ 1 x) (/ 1 eps))) (cos (+ (/ 1 x) (/ 1 eps)))) (/ (sin x) (cos 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 x) (cos x))) * [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 x) (/ 1 eps)))) (cos (+ (/ 1 x) (/ 1 eps)))) * [exit]simplify: Simplified to (/ (- (sin (+ (/ 1 x) (/ 1 eps)))) (cos (+ (/ 1 x) (/ 1 eps)))) * [enter]simplify: Simplifying (/ (sin x) (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sin x) (cos x)) * [exit]simplify: Simplified to (/ (sin x) (cos 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 (- (tan (+ x eps)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [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))) * [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)) * [enter]simplify: Simplifying (exp (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (tan x)) * [exit]simplify: Simplified to (exp (tan x)) * [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)) * [enter]simplify: Simplifying (/ (sin x) (cos (/ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sin x) (cos (/ 1 x))) * [exit]simplify: Simplified to (/ (sin x) (cos (/ 1 x))) * [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 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (+ (/ 1 x) (/ 1 eps)))) * [exit]simplify: Simplified to (/ (sin (- (+ (/ 1 x) (/ 1 eps)))) (cos (+ (/ 1 x) (/ 1 eps)))) * [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 (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))) * [enter]simplify: Simplifying (+ eps (+ (* (pow eps 3) (sqr x)) (* (pow eps 4) (pow x 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (fma (* x (pow eps 4)) (* x x) (fma (* x x) (cube eps) eps)) * [enter]simplify: Simplifying (/ 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (cos x)) * [exit]simplify: Simplified to (/ 1 (cos x)) * [enter]simplify: Simplifying (expm1 (/ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (cos x))) * [exit]simplify: Simplified to (expm1 (/ 1 (cos x))) * [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 x) (/ 1 eps)))) (cos (+ (/ 1 x) (/ 1 eps)))) * [exit]simplify: Simplified to (/ (- (sin (+ (/ 1 x) (/ 1 eps)))) (cos (+ (/ 1 x) (/ 1 eps)))) * [enter]simplify: Simplifying (/ (sin (/ -1 x)) (cos (/ -1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sin (/ -1 x)) (cos (/ -1 x))) * [exit]simplify: Simplified to (/ (sin (/ -1 x)) (cos (/ -1 x))) * [enter]simplify: Simplifying (- (tan (+ x eps)) (* (sin x) (+ (* 1/2 (sqr x)) (+ (* 5/24 (pow x 4)) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (- (tan (+ x eps)) (fma (fma (pow x 4) 5/24 (* (* x 1/2) x)) (sin x) (sin x))) * [enter]simplify: Simplifying (log1p (- (tan (+ x eps)) (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (- (tan (+ x eps)) (tan x))) * [exit]simplify: Simplified to (log1p (- (tan (+ x eps)) (tan x))) * [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))) * [enter]simplify: Simplifying (cotan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cotan x) * [exit]simplify: Simplified to (cotan x)