* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) 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 (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 (- (sin (+ x eps)) (sin x)) 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 (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 (- (sin (+ x eps)) (sin x)) 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 (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos eps) -1) into (- (cos eps) 1) * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* (cos eps) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ (- (* 1/6 (cos eps))) 1/6) into (- 1/6 (* 1/6 (cos eps))) * [misc]taylor: Taking taylor expansion of (- 1/6 (* 1/6 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/6 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (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 (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (sqr eps) x)) (+ (* -1/2 (* eps (sqr x))) (* 1 (* eps 1)))) into (- eps (+ (* 1/2 (* (sqr eps) x)) (* 1/2 (* eps (sqr x))))) * [misc]approximate: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (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 (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (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 (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (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 (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (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 (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (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]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sin (+ x eps)) in (x eps) around 0 * [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 (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 (sin (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (* (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]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 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]taylor: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 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]taylor: Taking taylor expansion of (- (* 1/6 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/6 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (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 (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (* 1 x) 3)) (+ (* 1 (* eps 1)) (* 1 (* 1 x)))) into (- (+ eps x) (* 1/6 (pow x 3))) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- eps (+ (* 1/2 (* (sqr eps) x)) (* 1/2 (* eps (sqr x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- eps (* (* (+ eps x) (* x eps)) 1/2)) * * * * [misc]progress: [ 2 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) * * * * [misc]progress: [ 3 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (- (sin (- (+ (/ 1 x) (/ 1 eps)))) (sin (/ -1 x))) * * * * [misc]progress: [ 4 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ eps x) (* 1/6 (pow x 3))) (sin 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 (42 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (- (- (+ x eps) (sin x)) (* 1/6 (cube x))) * * * * [misc]progress: [ 5 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ (/ 1 eps) (/ 1 x))) (sin x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sin (+ (/ 1 x) (/ 1 eps))) (sin x)) * * * * [misc]progress: [ 6 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (sin (+ (/ (- 1) eps) (/ (- 1) x))) (sin x)) * * * * [misc]progress: [ 7 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 8 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sin (+ x eps))) (exp (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 9 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (log (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 11 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 12 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (cbrt (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 13 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sin (+ x eps)) (sin 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 (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (cube (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 14 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 15 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sin (+ x eps)) 3) (pow (sin 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 (sin (+ eps x))) (cube (sin x))) * [exit]simplify: Simplified to (- (cube (sin (+ eps x))) (cube (sin x))) * [enter]simplify: Simplifying (+ (sqr (sin (+ x eps))) (+ (sqr (sin x)) (* (sin (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (sqr (sin (+ eps x))) (* (sin x) (+ (sin x) (sin (+ eps x))))) * [exit]simplify: Simplified to (+ (sqr (sin (+ eps x))) (* (sin x) (+ (sin x) (sin (+ eps x))))) * * * * [misc]progress: [ 16 / 29 ] 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)) * * * * [misc]progress: [ 17 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sin (+ x eps))) (sqr (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (- (sqr (sin (+ eps x))) (* (sin x) (sin x))) * [exit]simplify: Simplified to (- (sqr (sin (+ eps x))) (* (sin x) (sin x))) * [enter]simplify: Simplifying (+ (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (+ (sin (+ eps x)) (sin x)) * * * * [misc]progress: [ 19 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (sin (+ eps x))) (sqrt (sin x))) * [exit]simplify: Simplified to (+ (sqrt (sin (+ eps x))) (sqrt (sin x))) * [enter]simplify: Simplifying (- (sqrt (sin (+ x eps))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (sqrt (sin (+ eps x))) (sqrt (sin x))) * [exit]simplify: Simplified to (- (sqrt (sin (+ eps x))) (sqrt (sin x))) * * * * [misc]progress: [ 20 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * * * * [misc]progress: [ 21 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos x) (sin eps)) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * * * * [misc]progress: [ 22 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [enter]simplify: Simplifying (* (cos x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * * * * [misc]progress: [ 23 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (sin (+ eps x))) * [exit]simplify: Simplified to (log (sin (+ eps x))) * * * * [misc]progress: [ 25 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (sin (+ eps x))) * [exit]simplify: Simplified to (exp (sin (+ eps x))) * * * * [misc]progress: [ 26 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sin (+ eps x))) * [exit]simplify: Simplified to (cbrt (sin (+ eps x))) * * * * [misc]progress: [ 27 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sin (+ 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 (sin (+ eps x))) * [exit]simplify: Simplified to (cube (sin (+ eps x))) * * * * [misc]progress: [ 28 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * * * * [misc]progress: [ 29 / 29 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (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]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 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/8 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (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 (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* x eps)) (+ (* -1/8 (sqr (* 1 eps))) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (sqr eps)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (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 (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/2 (sin x)))) (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (cos x)))) (+ (* 1/2 (- (* 1/2 (sin x)))) (* 0 (cos x)))) into (- (* 1/4 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/4 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (sin x))) * [misc]backup-simplify: Simplify (- (- (* 1/48 (sin x)))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/48 (sin x))) (+ (* 1/2 (- (* 1/8 (cos x)))) (+ (* 0 (- (* 1/2 (sin x)))) (* (- 1/48) (cos x))))) into (- (* 1/12 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (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 (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (- 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* x (sqr eps))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (sqr eps) x)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (sqr eps)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (- 1 (* eps (+ (* 1/8 eps) (* x 1/2))))) * * * * [misc]progress: [ 2 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (cos (+ (+ (/ 1/2 x) (/ 1/2 x)) (/ 1/2 eps))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 3 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (cos (+ (+ (/ -1/2 x) (/ -1/2 x)) (/ -1/2 eps))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 4 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (sqr eps) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (+ (- (* eps 1/2) (* (* eps eps) (+ (* x 1/4) (* eps 1/12)))) (- (* eps 1/2) (* (* eps eps) (+ (* x 1/4) (* eps 1/12))))) * * * * [misc]progress: [ 5 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (cos (+ (+ (/ 1/2 x) (/ 1/2 x)) (/ 1/2 eps))) (+ (sin (/ 1/2 eps)) (sin (/ 1/2 eps)))) * * * * [misc]progress: [ 6 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (cos (+ (+ (/ -1/2 x) (/ -1/2 x)) (/ -1/2 eps))) (+ (sin (/ -1/2 eps)) (sin (/ -1/2 eps)))) * * * * [misc]progress: [ 7 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 9 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 10 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 11 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cube (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cube (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 12 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 13 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sin (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (sin (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (+ (sin (- (/ eps 2) (/ (+ (+ x x) eps) 2))) (sin (+ (/ eps 2) (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (sin (- (/ eps 2) (/ (+ (+ x x) eps) 2))) (sin (+ (/ eps 2) (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 15 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 16 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 18 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (log (* (cos (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (cos (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 19 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 20 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sin (/ eps 2))) (cube (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (cube (cos (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cube (cos (/ (+ (+ x x) eps) 2))) (cube (sin (/ eps 2)))) * * * * [misc]progress: [ 21 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 22 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (cube (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cube (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 23 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 24 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 25 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (sqrt (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 26 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 28 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 29 / 29 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (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]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 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/8 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (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 (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* x eps)) (+ (* -1/8 (sqr (* 1 eps))) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (sqr eps)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (log (exp (cos (/ (+ eps (+ x x)) 2)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ eps (+ x x)) 2)))) in x * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 eps))) into (exp (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 eps)))) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (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 (exp (cos x)) into (exp (cos x)) * [misc]backup-simplify: Simplify (log (exp (cos x))) into (cos x) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (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 (exp (cos x)) into (exp (cos x)) * [misc]backup-simplify: Simplify (log (exp (cos x))) into (cos 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 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 1) 1)))) into (* -1/2 (* (sin x) (exp (cos x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1/2 (* (sin x) (exp (cos x))))) 1)) (pow (exp (cos x)) 1)))) 1) into (* -1/2 (sin x)) * [misc]taylor: Taking taylor expansion of (* -1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 2) 2)) (* (/ (pow (- (* 1/8 (cos x))) 1) 1)))) into (* (exp (cos x)) (- (* 1/8 (sqr (sin x))) (* 1/8 (cos x)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1/2 (* (sin x) (exp (cos x))))) 2)) (pow (exp (cos x)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (cos x)) (- (* 1/8 (sqr (sin x))) (* 1/8 (cos x))))) 1)) (pow (exp (cos x)) 1)))) 2) into (* -1/8 (cos x)) * [misc]taylor: Taking taylor expansion of (* -1/8 (cos x)) in x * [misc]taylor: Taking taylor expansion of -1/8 in x * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]taylor: Taking taylor expansion of (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 (* -1/8 1) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* x eps)) (+ (* -1/8 (sqr (* 1 eps))) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (sqr eps)))) * [misc]approximate: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ eps (+ x x)) 2)))) in x * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 eps))) into (exp (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 eps)))) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (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 (exp (cos x)) into (exp (cos x)) * [misc]backup-simplify: Simplify (log (exp (cos x))) into (cos x) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (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 (exp (cos x)) into (exp (cos x)) * [misc]backup-simplify: Simplify (log (exp (cos x))) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 1) 1)))) into (* -1/2 (* (sin x) (exp (cos x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1/2 (* (sin x) (exp (cos x))))) 1)) (pow (exp (cos x)) 1)))) 1) into (* -1/2 (sin x)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (sin x))) (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 2) 2)) (* (/ (pow (- (* 1/8 (cos x))) 1) 1)))) into (* (exp (cos x)) (- (* 1/8 (sqr (sin x))) (* 1/8 (cos x)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1/2 (* (sin x) (exp (cos x))))) 2)) (pow (exp (cos x)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (cos x)) (- (* 1/8 (sqr (sin x))) (* 1/8 (cos x))))) 1)) (pow (exp (cos x)) 1)))) 2) into (* -1/8 (cos x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/8 (cos x))) (+ (* 1/2 (* -1/2 (sin x))) (* 0 (cos x)))) into (- (* 1/4 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/4 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (sin x))) * [misc]backup-simplify: Simplify (- (- (* 1/48 (sin x)))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 3) 6)) (* (/ (pow (- (* 1/2 (sin x))) 1) 1) (/ (pow (- (* 1/8 (cos x))) 1) 1)) (* (/ (pow (* 1/48 (sin x)) 1) 1)))) into (* (- (+ (* 1/48 (sin x)) (* 1/16 (* (sin x) (cos x)))) (* 1/48 (pow (sin x) 3))) (exp (cos x))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -1/2 (* (sin x) (exp (cos x))))) 3)) (pow (exp (cos x)) 3))) (* -3 (/ (* (pow (* 1 (* -1/2 (* (sin x) (exp (cos x))))) 1) (pow (* 2 (* (exp (cos x)) (- (* 1/8 (sqr (sin x))) (* 1/8 (cos x))))) 1)) (pow (exp (cos x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (- (+ (* 1/48 (sin x)) (* 1/16 (* (sin x) (cos x)))) (* 1/48 (pow (sin x) 3))) (exp (cos x)))) 1)) (pow (exp (cos x)) 1)))) 6) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/48 (sin x))) (+ (* 1/2 (* -1/8 (cos x))) (+ (* 0 (* -1/2 (sin x))) (* (- 1/48) (cos x))))) into (- (* 1/12 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (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 (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (- 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* x (sqr eps))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (sqr eps) x)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (log (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 eps))) into (exp (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (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 (exp (cos x)) into (exp (cos x)) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ eps (+ x x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ eps (+ x x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ eps (+ x x)) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 (* 2 x)) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (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 (exp (cos x)) into (exp (cos x)) * [misc]taylor: Taking taylor expansion of (exp (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 (exp 1) into E * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 1) 1)))) into (* -1/2 (* (sin x) (exp (cos x)))) * [misc]taylor: Taking taylor expansion of (* -1/2 (* (sin x) (exp (cos x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* (sin x) (exp (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 (exp (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 (exp 1) into E * [misc]backup-simplify: Simplify (* 0 E) into 0 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 2) 2)) (* (/ (pow (- (* 1/8 (cos x))) 1) 1)))) into (* (exp (cos x)) (- (* 1/8 (sqr (sin x))) (* 1/8 (cos x)))) * [misc]taylor: Taking taylor expansion of (* (exp (cos x)) (- (* 1/8 (sqr (sin x))) (* 1/8 (cos x)))) in x * [misc]taylor: Taking taylor expansion of (exp (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 (exp 1) into E * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sqr (sin x))) (* 1/8 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/8 (sqr (sin x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (* E -1/8) into (* -1/8 E) * [misc]backup-simplify: Simplify (* -1/8 E) into (* -1/8 E) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 E)) into E * [misc]backup-simplify: Simplify (+ (* -1/2 E) (* 0 0)) into (- (* 1/2 E)) * [misc]backup-simplify: Simplify (- (* 1/2 E)) into (- (* 1/2 E)) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 E)) (* x eps)) (+ (* (* -1/8 E) (sqr (* 1 eps))) E)) into (- E (+ (* 1/2 (* eps (* x E))) (* 1/8 (* (sqr eps) E)))) * [misc]approximate: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]approximate: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log (exp (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (sqr eps)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (- 1 (* eps (+ (* x 1/2) (* 1/8 eps)))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (+ (+ (/ 1/2 x) (/ 1/2 x)) (/ 1/2 eps)))) * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (+ (+ (/ -1/2 x) (/ -1/2 x)) (/ -1/2 eps)))) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (sqr eps)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (- 1 (* eps (+ (* 1/8 eps) (* x 1/2))))) * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (cos (+ (+ (/ 1/2 x) (/ 1/2 x)) (/ 1/2 eps))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (cos (+ (+ (/ -1/2 x) (/ -1/2 x)) (/ -1/2 eps))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (sqr eps) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (+ (- (* eps 1/2) (* (* eps eps) (+ (* x 1/4) (* eps 1/12)))) (- (* eps 1/2) (* (* eps eps) (+ (* x 1/4) (* eps 1/12))))) * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (cos (+ (+ (/ 1/2 x) (/ 1/2 x)) (/ 1/2 eps))) (+ (sin (/ 1/2 eps)) (sin (/ 1/2 eps)))) * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (cos (+ (+ (/ -1/2 x) (/ -1/2 x)) (/ -1/2 eps))) (+ (sin (/ -1/2 eps)) (sin (/ -1/2 eps)))) * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log (- E (+ (* 1/2 (* eps (* x E))) (* 1/8 (* (sqr eps) E))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (log (- E (* (* eps E) (+ (* 1/8 eps) (* x 1/2))))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (+ (+ (/ 1/2 x) (/ 1/2 x)) (/ 1/2 eps)))) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (+ (+ (/ -1/2 x) (/ -1/2 x)) (/ -1/2 eps)))) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cube (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cube (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (exp (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (exp (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (exp (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (exp (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (exp (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cube (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cube (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (log (exp (cos (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (log (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sin (/ eps 2))) (cube (log (exp (cos (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (cube (sin (/ eps 2))) (cube (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cube (sin (/ eps 2))) (cube (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (cube (* (cos (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cube (* (cos (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (cbrt (log (exp (cos (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ eps 2))) (cbrt (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ eps 2))) (cbrt (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (sqrt (log (exp (cos (/ (+ eps (+ x x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) (sqrt (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) (sqrt (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (log 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (log 1)) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (log 1)) * [enter]simplify: Simplifying (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (sin (/ eps 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (log 1)) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (log 1)) * [enter]simplify: Simplifying (* (log (exp (cos (/ (+ eps (+ x x)) 2)))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (log (exp (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (exp (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (exp (exp (cos (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (exp (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (cbrt (exp (cos (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (exp (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (pow (exp (+ 1 2)) (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (pow (exp (+ 1 2)) (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (exp (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (sqrt (exp (cos (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 eps -3.6204066776528013e-10) #s(sp 1 eps 6.909575705248122e-21) #s(sp 2 eps +inf.0)) , with alts (# # #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 eps -3.6204066776528013e-10))) * [misc]splitpoints: intervals are: ((#s(sp 0 eps -3.6204066776528013e-10) . #s(sp 1 eps 6.909575705248122e-21))) * [misc]splitpoints: intervals are: ((#s(sp 1 eps 6.909575705248122e-21) . #s(sp 2 eps +inf.0))) * [enter]simplify: Simplifying (- (* (cos x) (sin eps)) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * [enter]simplify: Simplifying (* (sin x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [enter]simplify: Simplifying (* (cos x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [enter]simplify: Simplifying (exp (exp (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (exp (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (exp (exp (cos (/ (+ eps (+ x x)) 2)))) * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) * [enter]simplify: Simplifying (cube (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cube (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (cube (cos (/ (+ eps (+ x x)) 2))) * [enter]simplify: Simplifying (sin (/ eps 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * [enter]simplify: Simplifying (cos (/ (+ eps (+ x x)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * [enter]simplify: Simplifying (- (* (cos x) (sin eps)) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * [enter]simplify: Simplifying (* (sin x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [enter]simplify: Simplifying (* (cos x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [exit]simplify: Simplified to (* (sin eps) (cos x))