* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [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: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [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 (* (pow eps 2) x)) (+ (* -1/2 (* eps (pow x 2))) (* 1 (* eps 1)))) into (- eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* (pow eps 2) 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: simplifying candidates * * * * [misc]progress: [ 1 / 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: [ 2 / 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: [ 3 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 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: [ 5 / 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: [ 6 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sin (+ eps x)) (sin x))) (cbrt (- (sin (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (- (sin (+ eps x)) (sin x))) (cbrt (- (sin (+ eps x)) (sin x)))) * [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: [ 7 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))) (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (- (sin (+ eps x)) (sin x)) 3) * [exit]simplify: Simplified to (pow (- (sin (+ eps x)) (sin x)) 3) * * * * [misc]progress: [ 8 / 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))) * [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: [ 9 / 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 (16 enodes) * [exit]simplify: Simplified to (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) * [exit]simplify: Simplified to (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) * [enter]simplify: Simplifying (+ (* (sin (+ x eps)) (sin (+ x eps))) (+ (* (sin x) (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 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (+ (* (sin (+ eps x)) (sin (+ eps x))) (* (+ (sin x) (sin (+ eps x))) (sin x))) * [exit]simplify: Simplified to (+ (* (sin (+ eps x)) (sin (+ eps x))) (* (+ (sin x) (sin (+ eps x))) (sin x))) * * * * [misc]progress: [ 10 / 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: [ 11 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (+ (sin x) (sin (+ eps x))) (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (* (+ (sin x) (sin (+ eps x))) (- (sin (+ eps 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: [ 13 / 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: [ 14 / 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: [ 15 / 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: [ 16 / 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: [ 17 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 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: [ 19 / 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: [ 20 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (+ eps x))) (cbrt (sin (+ eps x)))) * [exit]simplify: Simplified to (* (cbrt (sin (+ eps x))) (cbrt (sin (+ eps x)))) * [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: [ 21 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (sin (+ eps x)) 3) * [exit]simplify: Simplified to (pow (sin (+ eps x)) 3) * * * * [misc]progress: [ 22 / 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))) * [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: [ 23 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* (pow eps 2) x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (- eps (* (* x 1/2) (* eps (+ eps x)))) * * * * [misc]progress: [ 25 / 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: [ 26 / 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: [ 27 / 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 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (- (+ x eps) (sin x)) (* (* x x) (* 1/6 x))) * * * * [misc]progress: [ 28 / 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: [ 29 / 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: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [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 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [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 (pow eps 2))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) 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: simplifying candidates * * * * [misc]progress: [ 1 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 31 ] 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: [ 3 / 31 ] 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: [ 4 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (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 (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [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: [ 5 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * * * * [misc]progress: [ 6 / 31 ] 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))) * [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: [ 7 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 31 ] 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: [ 9 / 31 ] 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: [ 10 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 31 ] 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: [ 12 / 31 ] 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: [ 13 / 31 ] 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: [ 14 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (* (cos (/ (+ eps (+ x x)) 2)) (pow (sin (/ eps 2)) 3))) * [exit]simplify: Simplified to (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (* (cos (/ (+ eps (+ x x)) 2)) (pow (sin (/ eps 2)) 3))) * * * * [misc]progress: [ 15 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (cbrt (* (sin (/ eps 2)) (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 (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))))) * [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: [ 16 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 17 / 31 ] 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)))) * [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: [ 18 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) (sin (/ eps 2))) * * * * [misc]progress: [ 20 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sqrt (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: [ 21 / 31 ] 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: [ 22 / 31 ] 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 (* (cos (/ (+ (+ eps x) x) 2)) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 23 / 31 ] 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 (* (cos (/ (+ (+ eps x) x) 2)) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 24 / 31 ] 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: [ 25 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))))) * * [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: [ 27 / 31 ] 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 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * [exit]simplify: Simplified to (* (cos (+ (/ 1/2 x) (+ (/ 1/2 eps) (/ 1/2 x)))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 28 / 31 ] 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 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * [exit]simplify: Simplified to (* (cos (+ (/ -1/2 x) (+ (/ -1/2 eps) (/ -1/2 x)))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 29 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (- 1/2 (* eps (+ (* eps 1/12) (* x 1/4)))) (+ eps eps)) * * * * [misc]progress: [ 30 / 31 ] 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 (72 enodes) * * [misc]simplify: iters left: 2 (88 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: [ 31 / 31 ] 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 (72 enodes) * * [misc]simplify: iters left: 2 (88 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: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 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 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [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 1 2 2 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 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [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: [ 3 / 4 ] generating series at (2 2 1 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 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [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: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ (+ eps (+ x x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (+ eps (+ x x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (cos (/ (+ eps (+ x x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (+ eps (+ x x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (+ eps (+ x x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos (* 1/2 eps))) into (log (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 eps)))) into (* 1/3 (log (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 eps))))) into (pow (cos (* 1/2 eps)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Rewrote expression to (pow (cos (/ (+ eps (+ x x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos x)) into (log (cos x)) * [misc]backup-simplify: Simplify (* 1/3 (log (cos x))) into (* 1/3 (log (cos x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos x)))) into (pow (cos x) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (+ eps (+ x x)) 2))) in eps * [misc]taylor: Rewrote expression to (pow (cos (/ (+ eps (+ x x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (+ eps (+ x x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (+ eps (+ x x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos x)) into (log (cos x)) * [misc]backup-simplify: Simplify (* 1/3 (log (cos x))) into (* 1/3 (log (cos x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos x)))) into (pow (cos x) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos x) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) 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 (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (sin x)))) 1)) (pow (cos x) 1)))) 1) into (* -1/2 (/ (sin x) (cos x))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (/ (sin x) (cos x)))) (* 0 (log (cos x)))) into (- (* 1/6 (/ (sin x) (cos x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos x)))) (+ (* (/ (pow (- (* 1/6 (/ (sin x) (cos x)))) 1) 1)))) into (* -1/6 (* (sin x) (pow (/ 1 (pow (cos x) 2)) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/6 (* (sin x) (pow (/ 1 (pow (cos x) 2)) 1/3))) in x * [misc]taylor: Taking taylor expansion of -1/6 in x * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]taylor: Taking taylor expansion of (* (sin x) (pow (/ 1 (pow (cos x) 2)) 1/3)) 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 (pow (/ 1 (pow (cos x) 2)) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (cos x) 2))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (pow (cos x) 2)) in x * [misc]taylor: Taking taylor expansion of (pow (cos x) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (cos 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 (log (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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 2 -1/2) (+ (* 0 0) (* 0 0))) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* -1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (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 (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (sin x)))) 2)) (pow (cos x) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (cos x)))) 1)) (pow (cos x) 1)))) 2) into (* -1/2 (+ 1/4 (* 1/4 (/ (pow (sin x) 2) (pow (cos x) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ 1/4 (* 1/4 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 0 (* -1/2 (/ (sin x) (cos x)))) (* 0 (log (cos x))))) into (- (+ 1/24 (* 1/24 (/ (pow (sin x) 2) (pow (cos x) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos x)))) (+ (* (/ (pow (- (* 1/6 (/ (sin x) (cos x)))) 2) 2)) (* (/ (pow (- (+ 1/24 (* 1/24 (/ (pow (sin x) 2) (pow (cos x) 2))))) 1) 1)))) into (* -1 (* (+ 1/24 (* 1/36 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1 (* (+ 1/24 (* 1/36 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 1/3))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (+ 1/24 (* 1/36 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 1/3)) in x * [misc]taylor: Taking taylor expansion of (+ 1/24 (* 1/36 (/ (pow (sin x) 2) (pow (cos x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (* 1/36 (/ (pow (sin x) 2) (pow (cos x) 2))) in x * [misc]taylor: Taking taylor expansion of 1/36 in x * [misc]backup-simplify: Simplify 1/36 into 1/36 * [misc]taylor: Taking taylor expansion of (/ (pow (sin x) 2) (pow (cos x) 2)) in x * [misc]taylor: Taking taylor expansion of (pow (sin x) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (sin 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 (log (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (exp (* 2 (log x))) into (pow x 2) * [misc]taylor: Taking taylor expansion of (pow (cos x) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (cos 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 (log (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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 2 -1/2) (+ (* 0 0) (* 0 0))) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow x 2) 1) into (pow x 2) * [misc]taylor: Taking taylor expansion of (pow (cos x) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1/36 (pow x 2)) into (* 1/36 (pow x 2)) * [misc]backup-simplify: Simplify (+ 1/24 (* 1/36 (pow x 2))) into (+ (* 1/36 (pow x 2)) 1/24) * [misc]backup-simplify: Simplify (* (+ (* 1/36 (pow x 2)) 1/24) 1) into (+ (* 1/36 (pow x 2)) 1/24) * [misc]backup-simplify: Simplify (* -1 (+ (* 1/36 (pow x 2)) 1/24)) into (* -1 (+ (* 1/36 (pow x 2)) 1/24)) * [misc]backup-simplify: Simplify (* -1 (+ (* 1/36 (pow x 2)) 1/24)) into (* -1 (+ (* 1/36 (pow x 2)) 1/24)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* -1/6 1) (* 0 0)) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (* x eps)) (+ (* (* -1 (+ (* 1/36 (pow x 2)) 1/24)) (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/6 (* eps x)) (+ (* 1/36 (* (pow eps 2) (pow x 2))) (* 1/24 (pow eps 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (pow (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (pow (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (pow (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (+ (/ 1 eps) (+ (/ 1 x) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) into (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) into (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (pow (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (pow (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (pow (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (+ (/ 1 (- eps)) (+ (/ 1 (- x)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) into (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (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 (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) into (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 44 ] 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: [ 3 / 44 ] 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: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (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 (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [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: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * * * * [misc]progress: [ 6 / 44 ] 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))) * [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: [ 7 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 44 ] 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: [ 10 / 44 ] 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: [ 11 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (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 (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [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: [ 12 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * * * * [misc]progress: [ 13 / 44 ] 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))) * [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: [ 14 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 44 ] 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: [ 17 / 44 ] 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: [ 18 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (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 (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [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: [ 19 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * * * * [misc]progress: [ 20 / 44 ] 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))) * [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: [ 21 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (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 (log (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (log (cbrt (cos (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (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 (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (exp (cbrt (cos (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (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 (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (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 (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (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 (sqrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ (+ eps (+ x x)) 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (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 (sqrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (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: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (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 (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (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 (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * [exit]simplify: Simplified to (cos (/ (+ eps (+ x x)) 2)) * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (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 (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (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 (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* eps (+ (* 1/8 eps) (* x 1/2))))) (cbrt (cos (/ (+ (+ eps x) x) 2)))) (* (* (sin (/ eps 2)) 2) (cbrt (cos (/ (+ (+ eps x) x) 2))))) * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (+ (+ (/ 1/2 x) (/ 1/2 eps)) (/ 1/2 x)))) (* (sin (/ eps 2)) 2)) (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (+ (+ (/ -1/2 x) (/ -1/2 eps)) (/ -1/2 x)))) (* (sin (/ eps 2)) 2)) (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2))))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* eps (+ (* 1/2 x) (* 1/8 eps))))) (cbrt (cos (/ (+ (+ eps x) x) 2)))) (* (cbrt (cos (/ (+ (+ eps x) x) 2))) (* (sin (/ eps 2)) 2))) * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (* (sin (/ eps 2)) 2)) (* (cbrt (cos (+ (+ (/ 1/2 x) (/ 1/2 eps)) (/ 1/2 x)))) (cbrt (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (* (sin (/ eps 2)) 2)) (* (cbrt (cos (+ (+ (/ -1/2 x) (/ -1/2 eps)) (/ -1/2 x)))) (cbrt (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (* (* (sin (/ eps 2)) 2) (cbrt (cos (/ (+ (+ x x) eps) 2)))) (* (cbrt (- 1 (* (+ (* 1/8 eps) (* x 1/2)) eps))) (cbrt (cos (/ (+ (+ x x) eps) 2))))) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (* (sin (/ eps 2)) 2)) (* (cbrt (cos (+ (+ (/ 1/2 x) (/ 1/2 x)) (/ 1/2 eps)))) (cbrt (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (* (sin (/ eps 2)) 2)) (* (cbrt (cos (+ (+ (/ -1/2 x) (/ -1/2 x)) (/ -1/2 eps)))) (cbrt (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (- 1 (+ (* 1/6 (* eps x)) (+ (* 1/36 (* (pow eps 2) (pow x 2))) (* 1/24 (pow eps 2))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (* (* (- (- 1 (* 1/36 (* (* eps x) (* eps x)))) (* eps (+ (* x 1/6) (* 1/24 eps)))) (* (sin (/ eps 2)) 2)) (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (pow (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (* (* (sin (/ eps 2)) 2) (cbrt (cos (+ (+ (/ 1/2 x) (/ 1/2 eps)) (/ 1/2 x))))) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (pow (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (* (* (sin (/ eps 2)) 2) (cbrt (cos (+ (+ (/ -1/2 x) (/ -1/2 eps)) (/ -1/2 x))))) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 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 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [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 1 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 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [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: [ 3 / 4 ] generating series at (2 2 2 1 1 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 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [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: [ 4 / 4 ] generating series at (2 2 1 2 2 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 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [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: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 40 ] 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: [ 3 / 40 ] 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: [ 4 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (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 (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [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: [ 5 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * * * * [misc]progress: [ 6 / 40 ] 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))) * [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: [ 7 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 40 ] 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: [ 10 / 40 ] 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: [ 11 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (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 (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [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: [ 12 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * * * * [misc]progress: [ 13 / 40 ] 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))) * [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: [ 14 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 40 ] 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: [ 17 / 40 ] 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: [ 18 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (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 (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [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: [ 19 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * * * * [misc]progress: [ 20 / 40 ] 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))) * [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: [ 21 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 40 ] 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: [ 24 / 40 ] 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: [ 25 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (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 (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [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: [ 26 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ eps (+ x x)) 2)) 3) * * * * [misc]progress: [ 27 / 40 ] 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))) * [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: [ 28 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (- 1 (* eps (+ (* 1/2 x) (* 1/8 eps)))))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) (* (* (sin (/ eps 2)) 2) (cbrt (cos (/ (+ eps (+ x x)) 2)))))) * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (* (* (* (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (sin (/ eps 2))) (+ (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (+ (/ 1/2 eps) (+ (/ 1/2 x) (/ 1/2 x))))))) (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (+ (/ 1/2 eps) (+ (/ 1/2 x) (/ 1/2 x))))))))) * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (* (* (* (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (sin (/ eps 2))) (+ (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (+ (/ -1/2 eps) (+ (/ -1/2 x) (/ -1/2 x))))))) (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (+ (/ -1/2 eps) (+ (/ -1/2 x) (/ -1/2 x))))))))) * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2))))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (* (* (* (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) (sin (/ eps 2))) (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (- 1 (* eps (+ (* 1/8 eps) (* 1/2 x)))))))) (+ (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))))) * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (sin (/ eps 2)))) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) 2)) (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (+ (/ 1/2 eps) (+ (/ 1/2 x) (/ 1/2 x)))))))) * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (sin (/ eps 2)))) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) 2)) (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (+ (/ -1/2 eps) (+ (/ -1/2 x) (/ -1/2 x)))))))) * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) (sin (/ eps 2))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (- 1 (* (+ (* 1/8 eps) (* x 1/2)) eps))))) (* 2 (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (sin (/ eps 2))) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) 2)) (* (cbrt (cbrt (cos (+ (/ 1/2 eps) (+ (/ 1/2 x) (/ 1/2 x)))))) (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (sin (/ eps 2))) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) 2)) (* (cbrt (cbrt (cos (+ (/ -1/2 eps) (+ (/ -1/2 x) (/ -1/2 x)))))) (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2))))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* (+ (* 1/2 x) (* 1/8 eps)) eps))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) (* (* (sin (/ eps 2)) 2) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (* (* (sin (/ eps 2)) (cbrt (cos (/ (+ x (+ eps x)) 2)))) (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (+ (/ 1/2 eps) (+ (/ 1/2 x) (/ 1/2 x))))))) 2) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (* (* (sin (/ eps 2)) (cbrt (cos (/ (+ x (+ eps x)) 2)))) (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (+ (/ -1/2 eps) (+ (/ -1/2 x) (/ -1/2 x))))))) 2) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # #) * [misc]regimes: searching between -0.05857813342762223 and -0.06527644702679669 on (- (sin (+ x eps)) (sin x)) * [misc]regimes: searching between 6.015161564985828e-170 and 0.0 on (- (sin (+ x eps)) (sin x)) * [misc]regimes: searching between 5503101365137.895 and 3474633374935.8203 on x * [misc]regimes: searching between 1.9483732423713892e+41 and 4.905526379978559e+38 on x * [misc]regimes: searching between 6.299687543635178e+124 and 4.2962815027761465e+120 on x * [misc]regimes: searching between -8.876860927381953e-13 and -5.275568832820602e-08 on eps * [misc]regimes: searching between 1.1520287223011307e-15 and 7.677990771547982e-18 on eps * [misc]regimes: searching between +nan.0 and +nan.0 on (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between -0.06604409170242667 and -0.09445434755417474 on (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between 1.1520287223011307e-15 and 6.905597767889111e-18 on (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between -0.033022045851213336 and -0.04722717377708737 on (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between 5.760143611505653e-16 and 3.4527988839445554e-18 on (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ eps (+ x x)) 2)))) (sqrt (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between 11006202730275.79 and 6949266749871.641 on (+ x x) * [misc]regimes: searching between 3.8967464847427785e+41 and 9.811052759957118e+38 on (+ x x) * [misc]regimes: searching between 1.2599375087270357e+125 and 8.592563005552293e+120 on (+ x x) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 2 (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 2 (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))))) * [misc]regimes: searching between 1.855396275958977e-08 and 2.0781631024656105e-13 on (* 2 (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between 9.276981379794884e-09 and 1.0390815512328053e-13 on (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between 9.631708768331237e-05 and 3.223478790426277e-07 on (sqrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between -0.029289066713811113 and -0.030952352471190415 on (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) * [misc]regimes: searching between 9.276981379794884e-09 and 1.0390815512328051e-13 on (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))) * [misc]regimes: searching between -0.05857813342762221 and -0.061904704942380796 on (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * [misc]regimes: searching between 1.8553962759589762e-08 and 2.0781631024656097e-13 on (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))))) * [misc]regimes: searching between -0.029289066713811106 and -0.030952352471190398 on (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))))) * [misc]regimes: searching between 9.276981379794881e-09 and 1.0390815512328049e-13 on (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (* (* (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cbrt (cos (/ (+ eps (+ x x)) 2)))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sqrt (sin (+ x eps))) (sqrt (sin x)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sqrt (sin (+ x eps))) (sqrt (sin x)))) * [misc]regimes: searching between 3.001665747470941e-164 and 0.0 on (* (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sqrt (sin (+ x eps))) (sqrt (sin x)))) * [misc]regimes: searching between -0.05857813342762223 and -0.06190470494238083 on (* 2 (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between 1.855396275958977e-08 and 2.0781631024656103e-13 on (* 2 (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between -1.5114950164060224 and +nan.0 on (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between -4.017207141614267e-25 and -0.061904704942380845 on (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between 1.1520287223011309e-15 and 6.905597767889111e-18 on (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between -0.7557475082030112 and +nan.0 on (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between -2.0086035708071336e-25 and -0.030952352471190422 on (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between 5.760143611505654e-16 and 3.4527988839445554e-18 on (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between -0.05857813342762223 and -0.061904704942380796 on (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between 1.8553962759589765e-08 and 2.0781631024656105e-13 on (* 2 (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between -0.029289066713811113 and -0.030952352471190398 on (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between 9.276981379794883e-09 and 1.0390815512328053e-13 on (* (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))) (cbrt (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between -0.0585781334276222 and -0.06190470494238078 on (* 2 (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))))) * [misc]regimes: searching between 1.8553962759589762e-08 and 2.078163102465609e-13 on (* 2 (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))))) * [misc]regimes: searching between -0.0292890667138111 and -0.03095235247119039 on (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between 9.276981379794881e-09 and 1.0390815512328045e-13 on (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2))))) * [misc]regimes: searching between -0.30824911928137805 and -0.3139770375218368 on (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between 0.002101207271032819 and 4.701284621285792e-05 on (cbrt (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) * [misc]regimes: searching between -0.05857813342762223 and -0.06190470494238084 on (* 2 (cbrt (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3))) * [misc]regimes: searching between 1.8553962759589765e-08 and 2.0781631024656108e-13 on (* 2 (cbrt (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3))) * [misc]regimes: searching between -0.029289066713811113 and -0.03095235247119042 on (cbrt (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3)) * [misc]regimes: searching between 9.276981379794883e-09 and 1.0390815512328054e-13 on (cbrt (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3)) * [misc]regimes: searching between -2.512560915539223e-05 and -2.9653843202959558e-05 on (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * [misc]regimes: searching between 7.983991294256489e-25 and 1.1218864485356408e-39 on (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * [misc]regimes: searching between -0.029289066713811113 and -0.030952352471190415 on (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [misc]regimes: searching between 9.276981379794884e-09 and 1.0390815512328051e-13 on (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [misc]regimes: searching between -0.012160321896761883 and -0.019656110566708906 on (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) * [misc]regimes: searching between 1.8553964142853374e-08 and 2.0780599463421368e-13 on (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) * [misc]regimes: searching between -0.012160321896761883 and -0.019656110566708906 on (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) * [misc]regimes: searching between 1.8553964142853374e-08 and 2.0780599463421368e-13 on (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) * [misc]regimes: Found splitpoints: (#s(sp 0 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) -0.017079433211414616) #s(sp 1 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) 1.4495329944165525e-08) #s(sp 0 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) -0.017079433211414616)) (#s(sp 1 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) 1.4495329944165525e-08) . #s(sp 0 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) -0.017079433211414616) . #s(sp 1 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) 1.4495329944165525e-08))) * [enter]simplify: Simplifying (if (<= (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) -0.017079433211414616) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (if (<= (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) 1.4495329944165525e-08) (* 2 (* (sin (/ eps 2)) (cos (/ (+ eps (+ x x)) 2)))) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (if (<= (+ (* (cos eps) (sin x)) (- (* (sin eps) (cos x)) (sin x))) -0.017079433211414616) (- (+ (* (sin eps) (cos x)) (* (cos eps) (sin x))) (sin x)) (if (<= (+ (* (cos eps) (sin x)) (- (* (sin eps) (cos x)) (sin x))) 1.4495329944165525e-08) (* 2 (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (- (+ (* (sin eps) (cos x)) (* (cos eps) (sin x))) (sin x))))