26.640 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.169 * * * [progress]: [2/2] Setting up program.
0.172 * [progress]: [Phase 2 of 3] Improving.
0.172 * [simplify]: Simplifying:
  (- (sin (+ x eps)) (sin x))
0.173 * * [simplify]: iteration 0: 6 enodes
0.173 * * [simplify]: iteration 1: 9 enodes
0.174 * * [simplify]: iteration 2: 10 enodes
0.175 * * [simplify]: iteration complete: 10 enodes
0.175 * * [simplify]: Extracting #0: cost 1 inf + 0
0.175 * * [simplify]: Extracting #1: cost 4 inf + 0
0.175 * * [simplify]: Extracting #2: cost 6 inf + 0
0.175 * * [simplify]: Extracting #3: cost 6 inf + 1
0.175 * * [simplify]: Extracting #4: cost 0 inf + 510
0.175 * [simplify]: Simplified to:
  (- (sin (+ eps x)) (sin x))
0.176 * * [progress]: iteration 1 / 4
0.176 * * * [progress]: picking best candidate
0.209 * * * * [pick]: Picked  #<alt (λ (x eps) (- (sin (+ x eps)) (sin x)))>
0.209 * * * [progress]: localizing error
0.224 * * * [progress]: generating rewritten candidates
0.224 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.232 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.264 * * * [progress]: generating series expansions
0.264 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.264 * [backup-simplify]: Simplify (sin (+ x eps)) into (sin (+ x eps))
0.264 * [approximate]: Taking taylor expansion of (sin (+ x eps)) in (x eps) around 0
0.264 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps
0.264 * [taylor]: Taking taylor expansion of (+ x eps) in eps
0.264 * [taylor]: Taking taylor expansion of x in eps
0.264 * [backup-simplify]: Simplify x into x
0.264 * [taylor]: Taking taylor expansion of eps in eps
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (+ x 0) into x
0.264 * [backup-simplify]: Simplify (sin x) into (sin x)
0.264 * [backup-simplify]: Simplify (cos x) into (cos x)
0.264 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.264 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.265 * [taylor]: Taking taylor expansion of x in x
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [taylor]: Taking taylor expansion of eps in x
0.265 * [backup-simplify]: Simplify eps into eps
0.265 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.265 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.265 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.265 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.265 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.265 * [taylor]: Taking taylor expansion of x in x
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [taylor]: Taking taylor expansion of eps in x
0.265 * [backup-simplify]: Simplify eps into eps
0.265 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.265 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.265 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.265 * [backup-simplify]: Simplify (* (sin eps) 1) into (sin eps)
0.265 * [backup-simplify]: Simplify (* (cos eps) 0) into 0
0.265 * [backup-simplify]: Simplify (+ (sin eps) 0) into (sin eps)
0.265 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.265 * [taylor]: Taking taylor expansion of eps in eps
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify (+ 0) into 0
0.266 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify (+ 1 0) into 1
0.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.268 * [backup-simplify]: Simplify (+ (* (cos eps) 1) (* 0 0)) into (cos eps)
0.268 * [backup-simplify]: Simplify (+ 0 (cos eps)) into (cos eps)
0.268 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.268 * [taylor]: Taking taylor expansion of eps in eps
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.269 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.270 * [backup-simplify]: Simplify (+ (* (sin eps) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin eps)))
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.272 * [backup-simplify]: Simplify (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0
0.273 * [backup-simplify]: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps)))
0.273 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps
0.273 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps
0.273 * [taylor]: Taking taylor expansion of 1/2 in eps
0.273 * [backup-simplify]: Simplify 1/2 into 1/2
0.273 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.273 * [taylor]: Taking taylor expansion of eps in eps
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.273 * [backup-simplify]: Simplify (- 0) into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (+ 0) into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.277 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.279 * [backup-simplify]: Simplify (+ (* (cos eps) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps)))
0.279 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps)))
0.279 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos eps))) in eps
0.280 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps
0.280 * [taylor]: Taking taylor expansion of 1/6 in eps
0.280 * [backup-simplify]: Simplify 1/6 into 1/6
0.280 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.280 * [taylor]: Taking taylor expansion of eps in eps
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
0.280 * [backup-simplify]: Simplify (- 1/6) into -1/6
0.280 * [backup-simplify]: Simplify -1/6 into -1/6
0.281 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* 1 x) 3)) (+ (* 1 (* eps 1)) (* 1 (* 1 x)))) into (- (+ x eps) (* 1/6 (pow x 3)))
0.281 * [backup-simplify]: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.281 * [approximate]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0
0.281 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.281 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.281 * [taylor]: Taking taylor expansion of eps in eps
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.282 * [taylor]: Taking taylor expansion of x in eps
0.282 * [backup-simplify]: Simplify x into x
0.282 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.282 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x
0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.282 * [taylor]: Taking taylor expansion of eps in x
0.282 * [backup-simplify]: Simplify eps into eps
0.282 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.283 * [taylor]: Taking taylor expansion of x in x
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (/ 1 1) into 1
0.283 * [backup-simplify]: Simplify (+ 0 1) into 1
0.283 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.283 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x
0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.284 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.284 * [taylor]: Taking taylor expansion of eps in x
0.284 * [backup-simplify]: Simplify eps into eps
0.284 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.284 * [taylor]: Taking taylor expansion of x in x
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [backup-simplify]: Simplify (+ 0 1) into 1
0.292 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.292 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps
0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.292 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.292 * [taylor]: Taking taylor expansion of eps in eps
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (/ 1 1) into 1
0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.293 * [taylor]: Taking taylor expansion of x in eps
0.293 * [backup-simplify]: Simplify x into x
0.293 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.293 * [backup-simplify]: Simplify (+ 1 0) into 1
0.293 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.293 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.293 * [taylor]: Taking taylor expansion of 0 in eps
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [taylor]: Taking taylor expansion of 0 in eps
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [taylor]: Taking taylor expansion of 0 in eps
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) into (sin (+ x eps))
0.294 * [backup-simplify]: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.294 * [approximate]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in (x eps) around 0
0.294 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps
0.294 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps
0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.294 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.294 * [taylor]: Taking taylor expansion of eps in eps
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.295 * [taylor]: Taking taylor expansion of x in eps
0.295 * [backup-simplify]: Simplify x into x
0.295 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.295 * [backup-simplify]: Simplify (+ 1 0) into 1
0.296 * [backup-simplify]: Simplify (- 1) into -1
0.296 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.296 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x
0.296 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x
0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.296 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.296 * [taylor]: Taking taylor expansion of eps in x
0.296 * [backup-simplify]: Simplify eps into eps
0.296 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.296 * [taylor]: Taking taylor expansion of x in x
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.297 * [backup-simplify]: Simplify (+ 0 1) into 1
0.297 * [backup-simplify]: Simplify (- 1) into -1
0.298 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.298 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x
0.298 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x
0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.298 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.298 * [taylor]: Taking taylor expansion of eps in x
0.298 * [backup-simplify]: Simplify eps into eps
0.298 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.298 * [taylor]: Taking taylor expansion of x in x
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (/ 1 1) into 1
0.299 * [backup-simplify]: Simplify (+ 0 1) into 1
0.299 * [backup-simplify]: Simplify (- 1) into -1
0.299 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.299 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps
0.299 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps
0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.299 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.299 * [taylor]: Taking taylor expansion of eps in eps
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.300 * [taylor]: Taking taylor expansion of x in eps
0.300 * [backup-simplify]: Simplify x into x
0.300 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.300 * [backup-simplify]: Simplify (+ 1 0) into 1
0.301 * [backup-simplify]: Simplify (- 1) into -1
0.301 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.301 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.301 * [taylor]: Taking taylor expansion of 0 in eps
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [taylor]: Taking taylor expansion of 0 in eps
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [taylor]: Taking taylor expansion of 0 in eps
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) into (sin (+ x eps))
0.302 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.302 * [backup-simplify]: Simplify (- (sin (+ x eps)) (sin x)) into (- (sin (+ x eps)) (sin x))
0.302 * [approximate]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in (x eps) around 0
0.302 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps
0.302 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps
0.302 * [taylor]: Taking taylor expansion of (+ x eps) in eps
0.302 * [taylor]: Taking taylor expansion of x in eps
0.302 * [backup-simplify]: Simplify x into x
0.302 * [taylor]: Taking taylor expansion of eps in eps
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (+ x 0) into x
0.302 * [backup-simplify]: Simplify (sin x) into (sin x)
0.302 * [backup-simplify]: Simplify (cos x) into (cos x)
0.302 * [taylor]: Taking taylor expansion of (sin x) in eps
0.302 * [taylor]: Taking taylor expansion of x in eps
0.302 * [backup-simplify]: Simplify x into x
0.302 * [backup-simplify]: Simplify (sin x) into (sin x)
0.303 * [backup-simplify]: Simplify (cos x) into (cos x)
0.303 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x
0.303 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.303 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of eps in x
0.303 * [backup-simplify]: Simplify eps into eps
0.303 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.303 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.303 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.303 * [taylor]: Taking taylor expansion of (sin x) in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x
0.303 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.303 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of eps in x
0.303 * [backup-simplify]: Simplify eps into eps
0.303 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.303 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.303 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.303 * [taylor]: Taking taylor expansion of (sin x) in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (* (sin eps) 1) into (sin eps)
0.304 * [backup-simplify]: Simplify (* (cos eps) 0) into 0
0.304 * [backup-simplify]: Simplify (+ (sin eps) 0) into (sin eps)
0.304 * [backup-simplify]: Simplify (- 0) into 0
0.304 * [backup-simplify]: Simplify (+ (sin eps) 0) into (sin eps)
0.304 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.304 * [taylor]: Taking taylor expansion of eps in eps
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ 0) into 0
0.305 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (* 0 1)) into 0
0.306 * [backup-simplify]: Simplify (+ 1 0) into 1
0.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.307 * [backup-simplify]: Simplify (+ (* (cos eps) 1) (* 0 0)) into (cos eps)
0.307 * [backup-simplify]: Simplify (+ 0 (cos eps)) into (cos eps)
0.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.308 * [backup-simplify]: Simplify (- 1) into -1
0.308 * [backup-simplify]: Simplify (+ (cos eps) -1) into (- (cos eps) 1)
0.308 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps
0.308 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.308 * [taylor]: Taking taylor expansion of eps in eps
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [taylor]: Taking taylor expansion of 1 in eps
0.308 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (- 1) into -1
0.309 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.310 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.311 * [backup-simplify]: Simplify (+ (* (sin eps) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin eps)))
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.313 * [backup-simplify]: Simplify (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0
0.313 * [backup-simplify]: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps)))
0.314 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.314 * [backup-simplify]: Simplify (- 0) into 0
0.315 * [backup-simplify]: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps)))
0.315 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps
0.315 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps
0.315 * [taylor]: Taking taylor expansion of 1/2 in eps
0.315 * [backup-simplify]: Simplify 1/2 into 1/2
0.315 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.315 * [taylor]: Taking taylor expansion of eps in eps
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.316 * [backup-simplify]: Simplify (- 0) into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (+ 0) into 0
0.316 * [backup-simplify]: Simplify (- 0) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.319 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.322 * [backup-simplify]: Simplify (+ (* (cos eps) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps)))
0.322 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps)))
0.324 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.324 * [backup-simplify]: Simplify (- -1/6) into 1/6
0.324 * [backup-simplify]: Simplify (+ (- (* 1/6 (cos eps))) 1/6) into (- 1/6 (* 1/6 (cos eps)))
0.324 * [taylor]: Taking taylor expansion of (- 1/6 (* 1/6 (cos eps))) in eps
0.324 * [taylor]: Taking taylor expansion of 1/6 in eps
0.324 * [backup-simplify]: Simplify 1/6 into 1/6
0.324 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps
0.324 * [taylor]: Taking taylor expansion of 1/6 in eps
0.324 * [backup-simplify]: Simplify 1/6 into 1/6
0.324 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.324 * [taylor]: Taking taylor expansion of eps in eps
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
0.325 * [backup-simplify]: Simplify (- 1/6) into -1/6
0.325 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.327 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.327 * [backup-simplify]: Simplify (- 1/2) into -1/2
0.327 * [backup-simplify]: Simplify -1/2 into -1/2
0.328 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.328 * [backup-simplify]: Simplify (- 0) into 0
0.329 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
0.329 * [backup-simplify]: Simplify -1/2 into -1/2
0.329 * [backup-simplify]: Simplify (+ (* -1/2 (* (pow eps 2) x)) (+ (* -1/2 (* eps (pow x 2))) (* 1 (* eps 1)))) into (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps))))
0.330 * [backup-simplify]: Simplify (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))
0.330 * [approximate]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in (x eps) around 0
0.330 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps
0.330 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.330 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.330 * [taylor]: Taking taylor expansion of eps in eps
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.330 * [taylor]: Taking taylor expansion of x in eps
0.330 * [backup-simplify]: Simplify x into x
0.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.331 * [backup-simplify]: Simplify (+ 1 0) into 1
0.331 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.331 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps
0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.331 * [taylor]: Taking taylor expansion of x in eps
0.331 * [backup-simplify]: Simplify x into x
0.331 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.331 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.331 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.331 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x
0.331 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.331 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.331 * [taylor]: Taking taylor expansion of eps in x
0.332 * [backup-simplify]: Simplify eps into eps
0.332 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.332 * [taylor]: Taking taylor expansion of x in x
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [backup-simplify]: Simplify (+ 0 1) into 1
0.333 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.333 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.333 * [taylor]: Taking taylor expansion of x in x
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (/ 1 1) into 1
0.333 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.333 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x
0.333 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x
0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.333 * [taylor]: Taking taylor expansion of eps in x
0.333 * [backup-simplify]: Simplify eps into eps
0.333 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.333 * [taylor]: Taking taylor expansion of x in x
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [backup-simplify]: Simplify (+ 0 1) into 1
0.334 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.334 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.334 * [taylor]: Taking taylor expansion of x in x
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.335 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.335 * [backup-simplify]: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))
0.335 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps
0.335 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps
0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.335 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.335 * [taylor]: Taking taylor expansion of eps in eps
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (/ 1 1) into 1
0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.336 * [taylor]: Taking taylor expansion of x in eps
0.336 * [backup-simplify]: Simplify x into x
0.336 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.336 * [backup-simplify]: Simplify (+ 1 0) into 1
0.337 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.337 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps
0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.337 * [taylor]: Taking taylor expansion of x in eps
0.337 * [backup-simplify]: Simplify x into x
0.337 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.337 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.337 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.337 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x))
0.337 * [backup-simplify]: Simplify (* (cos (/ 1 x)) 0) into 0
0.337 * [backup-simplify]: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x))
0.337 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.337 * [backup-simplify]: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))
0.338 * [backup-simplify]: Simplify (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))
0.338 * [backup-simplify]: Simplify (- 0) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in eps
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ 0) into 0
0.339 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.341 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (- 0) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (- 0) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in eps
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.345 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (- 0) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (- 0) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in eps
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (- (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (- (sin (+ x eps)) (sin x))
0.348 * [backup-simplify]: Simplify (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x)))
0.348 * [approximate]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in (x eps) around 0
0.348 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps
0.348 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps
0.348 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps
0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.348 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.348 * [taylor]: Taking taylor expansion of eps in eps
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.349 * [taylor]: Taking taylor expansion of x in eps
0.349 * [backup-simplify]: Simplify x into x
0.349 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.349 * [backup-simplify]: Simplify (+ 1 0) into 1
0.349 * [backup-simplify]: Simplify (- 1) into -1
0.350 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.350 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps
0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in eps
0.350 * [taylor]: Taking taylor expansion of -1 in eps
0.350 * [backup-simplify]: Simplify -1 into -1
0.350 * [taylor]: Taking taylor expansion of x in eps
0.350 * [backup-simplify]: Simplify x into x
0.350 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.350 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.350 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.350 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in x
0.350 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x
0.350 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x
0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.350 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.350 * [taylor]: Taking taylor expansion of eps in x
0.350 * [backup-simplify]: Simplify eps into eps
0.350 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.350 * [taylor]: Taking taylor expansion of x in x
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [backup-simplify]: Simplify (+ 0 1) into 1
0.351 * [backup-simplify]: Simplify (- 1) into -1
0.352 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.352 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.352 * [taylor]: Taking taylor expansion of -1 in x
0.352 * [backup-simplify]: Simplify -1 into -1
0.352 * [taylor]: Taking taylor expansion of x in x
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (/ -1 1) into -1
0.352 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.352 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in x
0.352 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x
0.352 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.352 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.352 * [taylor]: Taking taylor expansion of eps in x
0.352 * [backup-simplify]: Simplify eps into eps
0.353 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.353 * [taylor]: Taking taylor expansion of x in x
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [backup-simplify]: Simplify (+ 0 1) into 1
0.354 * [backup-simplify]: Simplify (- 1) into -1
0.354 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.354 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.354 * [taylor]: Taking taylor expansion of -1 in x
0.354 * [backup-simplify]: Simplify -1 into -1
0.354 * [taylor]: Taking taylor expansion of x in x
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (/ -1 1) into -1
0.355 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.355 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
0.355 * [backup-simplify]: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x)))
0.355 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps
0.355 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps
0.355 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps
0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.355 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.355 * [taylor]: Taking taylor expansion of eps in eps
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (/ 1 1) into 1
0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.356 * [taylor]: Taking taylor expansion of x in eps
0.356 * [backup-simplify]: Simplify x into x
0.356 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.356 * [backup-simplify]: Simplify (+ 1 0) into 1
0.357 * [backup-simplify]: Simplify (- 1) into -1
0.357 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.357 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps
0.357 * [taylor]: Taking taylor expansion of (/ -1 x) in eps
0.357 * [taylor]: Taking taylor expansion of -1 in eps
0.357 * [backup-simplify]: Simplify -1 into -1
0.357 * [taylor]: Taking taylor expansion of x in eps
0.357 * [backup-simplify]: Simplify x into x
0.358 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.358 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.358 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.358 * [backup-simplify]: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x))
0.358 * [backup-simplify]: Simplify (* (cos (/ -1 x)) 0) into 0
0.358 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
0.358 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
0.358 * [backup-simplify]: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x)))
0.359 * [backup-simplify]: Simplify (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x)))
0.359 * [backup-simplify]: Simplify (- 0) into 0
0.359 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [taylor]: Taking taylor expansion of 0 in eps
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify (+ 0) into 0
0.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0
0.360 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (- 0) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (- 0) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [taylor]: Taking taylor expansion of 0 in eps
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.365 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
0.365 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.366 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (- 0) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (- 0) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [taylor]: Taking taylor expansion of 0 in eps
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (- (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) (sin (/ -1 (/ 1 (- x))))) into (- (sin (+ x eps)) (sin x))
0.369 * * * [progress]: simplifying candidates
0.369 * [simplify]: Simplifying:
  (* (sin x) (cos eps))
  (* (cos x) (sin eps))
  (log (sin (+ x eps)))
  (exp (sin (+ x eps)))
  (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps))))
  (cbrt (sin (+ x eps)))
  (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps)))
  (sqrt (sin (+ x eps)))
  (sqrt (sin (+ x eps)))
  (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))
  (/ (exp (sin (+ x eps))) (exp (sin x)))
  (log (- (sin (+ x eps)) (sin x)))
  (exp (- (sin (+ x eps)) (sin x)))
  (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x))))
  (cbrt (- (sin (+ x eps)) (sin x)))
  (* (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))) (- (sin (+ x eps)) (sin x)))
  (sqrt (- (sin (+ x eps)) (sin x)))
  (sqrt (- (sin (+ x eps)) (sin x)))
  (- (pow (sin (+ x eps)) 3) (pow (sin x) 3))
  (+ (* (sin (+ x eps)) (sin (+ x eps))) (+ (* (sin x) (sin x)) (* (sin (+ x eps)) (sin x))))
  (- (sin x))
  (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x)))
  (+ (sin (+ x eps)) (sin x))
  (+ (sqrt (sin (+ x eps))) (sqrt (sin x)))
  (- (sqrt (sin (+ x eps))) (sqrt (sin x)))
  (- (sin (+ x eps)) (sin x))
  (- (* (cos x) (sin eps)) (sin x))
  (- (sin x))
  (- (+ x eps) (* 1/6 (pow x 3)))
  (sin (+ x eps))
  (sin (+ x eps))
  (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps))))
  (- (sin (+ x eps)) (sin x))
  (- (sin (+ x eps)) (sin x))
0.370 * * [simplify]: iteration 0: 63 enodes
0.387 * * [simplify]: iteration 1: 135 enodes
0.437 * * [simplify]: iteration 2: 381 enodes
0.646 * * [simplify]: iteration 3: 1449 enodes
1.003 * * [simplify]: iteration complete: 5001 enodes
1.003 * * [simplify]: Extracting #0: cost 27 inf + 0
1.004 * * [simplify]: Extracting #1: cost 272 inf + 0
1.009 * * [simplify]: Extracting #2: cost 1186 inf + 1457
1.034 * * [simplify]: Extracting #3: cost 1459 inf + 33645
1.062 * * [simplify]: Extracting #4: cost 584 inf + 163387
1.129 * * [simplify]: Extracting #5: cost 67 inf + 250428
1.197 * * [simplify]: Extracting #6: cost 16 inf + 259458
1.281 * * [simplify]: Extracting #7: cost 0 inf + 263866
1.346 * [simplify]: Simplified to:
  (* (cos eps) (sin x))
  (* (cos x) (sin eps))
  (log (sin (+ x eps)))
  (exp (sin (+ x eps)))
  (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps))))
  (cbrt (sin (+ x eps)))
  (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps)))
  (sqrt (sin (+ x eps)))
  (sqrt (sin (+ x eps)))
  (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))
  (exp (- (sin (+ x eps)) (sin x)))
  (log (- (sin (+ x eps)) (sin x)))
  (exp (- (sin (+ x eps)) (sin x)))
  (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x))))
  (cbrt (- (sin (+ x eps)) (sin x)))
  (* (- (sin (+ x eps)) (sin x)) (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))))
  (sqrt (- (sin (+ x eps)) (sin x)))
  (sqrt (- (sin (+ x eps)) (sin x)))
  (- (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps))) (* (* (sin x) (sin x)) (sin x)))
  (+ (* (sin x) (sin x)) (* (sin (+ x eps)) (+ (sin (+ x eps)) (sin x))))
  (- (sin x))
  (* (- (sin (+ x eps)) (sin x)) (+ (sin (+ x eps)) (sin x)))
  (+ (sin (+ x eps)) (sin x))
  (+ (sqrt (sin x)) (sqrt (sin (+ x eps))))
  (- (sqrt (sin (+ x eps))) (sqrt (sin x)))
  (- (sin (+ x eps)) (sin x))
  (- (* (cos x) (sin eps)) (sin x))
  (- (sin x))
  (+ (+ eps x) (* -1/6 (* x (* x x))))
  (sin (+ x eps))
  (sin (+ x eps))
  (+ (* -1/2 (* eps (* x (+ eps x)))) eps)
  (- (sin (+ x eps)) (sin x))
  (- (sin (+ x eps)) (sin x))
1.347 * * * [progress]: adding candidates to table
1.464 * * [progress]: iteration 2 / 4
1.465 * * * [progress]: picking best candidate
1.481 * * * * [pick]: Picked  #<alt (λ (x eps) (* 2 (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))>
1.481 * * * [progress]: localizing error
1.518 * * * [progress]: generating rewritten candidates
1.518 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.554 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
1.573 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
1.626 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1)
1.640 * * * [progress]: generating series expansions
1.640 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1.640 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
1.640 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
1.640 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
1.640 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
1.640 * [taylor]: Taking taylor expansion of 1/2 in eps
1.640 * [backup-simplify]: Simplify 1/2 into 1/2
1.640 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
1.640 * [taylor]: Taking taylor expansion of (* 2 x) in eps
1.640 * [taylor]: Taking taylor expansion of 2 in eps
1.640 * [backup-simplify]: Simplify 2 into 2
1.640 * [taylor]: Taking taylor expansion of x in eps
1.640 * [backup-simplify]: Simplify x into x
1.640 * [taylor]: Taking taylor expansion of eps in eps
1.640 * [backup-simplify]: Simplify 0 into 0
1.640 * [backup-simplify]: Simplify 1 into 1
1.640 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
1.640 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
1.640 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
1.640 * [backup-simplify]: Simplify (cos x) into (cos x)
1.640 * [backup-simplify]: Simplify (sin x) into (sin x)
1.640 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
1.640 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
1.640 * [taylor]: Taking taylor expansion of 1/2 in x
1.640 * [backup-simplify]: Simplify 1/2 into 1/2
1.640 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
1.640 * [taylor]: Taking taylor expansion of (* 2 x) in x
1.640 * [taylor]: Taking taylor expansion of 2 in x
1.640 * [backup-simplify]: Simplify 2 into 2
1.640 * [taylor]: Taking taylor expansion of x in x
1.640 * [backup-simplify]: Simplify 0 into 0
1.640 * [backup-simplify]: Simplify 1 into 1
1.640 * [taylor]: Taking taylor expansion of eps in x
1.640 * [backup-simplify]: Simplify eps into eps
1.641 * [backup-simplify]: Simplify (* 2 0) into 0
1.641 * [backup-simplify]: Simplify (+ 0 eps) into eps
1.641 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
1.641 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
1.641 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
1.641 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
1.641 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
1.641 * [taylor]: Taking taylor expansion of 1/2 in x
1.641 * [backup-simplify]: Simplify 1/2 into 1/2
1.641 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
1.641 * [taylor]: Taking taylor expansion of (* 2 x) in x
1.641 * [taylor]: Taking taylor expansion of 2 in x
1.641 * [backup-simplify]: Simplify 2 into 2
1.641 * [taylor]: Taking taylor expansion of x in x
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 1 into 1
1.641 * [taylor]: Taking taylor expansion of eps in x
1.641 * [backup-simplify]: Simplify eps into eps
1.642 * [backup-simplify]: Simplify (* 2 0) into 0
1.642 * [backup-simplify]: Simplify (+ 0 eps) into eps
1.642 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
1.642 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
1.642 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
1.642 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
1.642 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
1.642 * [backup-simplify]: Simplify (- 0) into 0
1.642 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
1.642 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
1.643 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.643 * [taylor]: Taking taylor expansion of 1/2 in eps
1.643 * [backup-simplify]: Simplify 1/2 into 1/2
1.643 * [taylor]: Taking taylor expansion of eps in eps
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.643 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.643 * [backup-simplify]: Simplify 1 into 1
1.644 * [backup-simplify]: Simplify (+ 0) into 0
1.644 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
1.644 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
1.645 * [backup-simplify]: Simplify (+ 2 0) into 2
1.645 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
1.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.646 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
1.646 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
1.646 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
1.646 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
1.646 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
1.646 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.646 * [taylor]: Taking taylor expansion of 1/2 in eps
1.646 * [backup-simplify]: Simplify 1/2 into 1/2
1.646 * [taylor]: Taking taylor expansion of eps in eps
1.646 * [backup-simplify]: Simplify 0 into 0
1.646 * [backup-simplify]: Simplify 1 into 1
1.646 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.647 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.647 * [backup-simplify]: Simplify (- 0) into 0
1.647 * [backup-simplify]: Simplify 0 into 0
1.647 * [backup-simplify]: Simplify (+ 0) into 0
1.647 * [backup-simplify]: Simplify 0 into 0
1.648 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.648 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
1.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1.649 * [backup-simplify]: Simplify (+ 0 0) into 0
1.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
1.650 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.650 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
1.651 * [backup-simplify]: Simplify (- 0) into 0
1.651 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
1.651 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
1.651 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
1.651 * [taylor]: Taking taylor expansion of 1/2 in eps
1.651 * [backup-simplify]: Simplify 1/2 into 1/2
1.651 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
1.651 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.651 * [taylor]: Taking taylor expansion of 1/2 in eps
1.651 * [backup-simplify]: Simplify 1/2 into 1/2
1.651 * [taylor]: Taking taylor expansion of eps in eps
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify 1 into 1
1.651 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.652 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.652 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.652 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.652 * [backup-simplify]: Simplify -1/2 into -1/2
1.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
1.653 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.653 * [backup-simplify]: Simplify -1/2 into -1/2
1.653 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
1.653 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.653 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
1.653 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
1.653 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.653 * [taylor]: Taking taylor expansion of 1/2 in eps
1.653 * [backup-simplify]: Simplify 1/2 into 1/2
1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.653 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.654 * [taylor]: Taking taylor expansion of eps in eps
1.654 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify 1 into 1
1.654 * [backup-simplify]: Simplify (/ 1 1) into 1
1.654 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.654 * [taylor]: Taking taylor expansion of 2 in eps
1.654 * [backup-simplify]: Simplify 2 into 2
1.654 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.654 * [taylor]: Taking taylor expansion of x in eps
1.654 * [backup-simplify]: Simplify x into x
1.654 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.654 * [backup-simplify]: Simplify (+ 1 0) into 1
1.654 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.655 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.655 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
1.655 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.655 * [taylor]: Taking taylor expansion of 1/2 in x
1.655 * [backup-simplify]: Simplify 1/2 into 1/2
1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.655 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.655 * [taylor]: Taking taylor expansion of eps in x
1.655 * [backup-simplify]: Simplify eps into eps
1.655 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.655 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.655 * [taylor]: Taking taylor expansion of 2 in x
1.655 * [backup-simplify]: Simplify 2 into 2
1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.655 * [taylor]: Taking taylor expansion of x in x
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify 1 into 1
1.655 * [backup-simplify]: Simplify (/ 1 1) into 1
1.655 * [backup-simplify]: Simplify (* 2 1) into 2
1.656 * [backup-simplify]: Simplify (+ 0 2) into 2
1.656 * [backup-simplify]: Simplify (* 1/2 2) into 1
1.656 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.656 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
1.656 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.656 * [taylor]: Taking taylor expansion of 1/2 in x
1.656 * [backup-simplify]: Simplify 1/2 into 1/2
1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.656 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.656 * [taylor]: Taking taylor expansion of eps in x
1.656 * [backup-simplify]: Simplify eps into eps
1.656 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.656 * [taylor]: Taking taylor expansion of 2 in x
1.656 * [backup-simplify]: Simplify 2 into 2
1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.656 * [taylor]: Taking taylor expansion of x in x
1.656 * [backup-simplify]: Simplify 0 into 0
1.656 * [backup-simplify]: Simplify 1 into 1
1.657 * [backup-simplify]: Simplify (/ 1 1) into 1
1.657 * [backup-simplify]: Simplify (* 2 1) into 2
1.657 * [backup-simplify]: Simplify (+ 0 2) into 2
1.657 * [backup-simplify]: Simplify (* 1/2 2) into 1
1.658 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.658 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
1.658 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.658 * [taylor]: Taking taylor expansion of 1/2 in eps
1.658 * [backup-simplify]: Simplify 1/2 into 1/2
1.658 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.658 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.658 * [taylor]: Taking taylor expansion of eps in eps
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 1 into 1
1.658 * [backup-simplify]: Simplify (/ 1 1) into 1
1.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.658 * [taylor]: Taking taylor expansion of 2 in eps
1.658 * [backup-simplify]: Simplify 2 into 2
1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.658 * [taylor]: Taking taylor expansion of x in eps
1.658 * [backup-simplify]: Simplify x into x
1.658 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.658 * [backup-simplify]: Simplify (+ 1 0) into 1
1.659 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.659 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.659 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.659 * [taylor]: Taking taylor expansion of 0 in eps
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [taylor]: Taking taylor expansion of 0 in eps
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [taylor]: Taking taylor expansion of 0 in eps
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
1.659 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.659 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
1.659 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
1.659 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.660 * [taylor]: Taking taylor expansion of -1/2 in eps
1.660 * [backup-simplify]: Simplify -1/2 into -1/2
1.660 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.660 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.660 * [taylor]: Taking taylor expansion of eps in eps
1.660 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 1 into 1
1.660 * [backup-simplify]: Simplify (/ 1 1) into 1
1.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.660 * [taylor]: Taking taylor expansion of 2 in eps
1.660 * [backup-simplify]: Simplify 2 into 2
1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.660 * [taylor]: Taking taylor expansion of x in eps
1.660 * [backup-simplify]: Simplify x into x
1.660 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.660 * [backup-simplify]: Simplify (+ 1 0) into 1
1.661 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.661 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.661 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
1.661 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.661 * [taylor]: Taking taylor expansion of -1/2 in x
1.661 * [backup-simplify]: Simplify -1/2 into -1/2
1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.661 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.661 * [taylor]: Taking taylor expansion of eps in x
1.661 * [backup-simplify]: Simplify eps into eps
1.661 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.661 * [taylor]: Taking taylor expansion of 2 in x
1.661 * [backup-simplify]: Simplify 2 into 2
1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.661 * [taylor]: Taking taylor expansion of x in x
1.661 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify 1 into 1
1.661 * [backup-simplify]: Simplify (/ 1 1) into 1
1.661 * [backup-simplify]: Simplify (* 2 1) into 2
1.662 * [backup-simplify]: Simplify (+ 0 2) into 2
1.662 * [backup-simplify]: Simplify (* -1/2 2) into -1
1.662 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.662 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
1.662 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.662 * [taylor]: Taking taylor expansion of -1/2 in x
1.662 * [backup-simplify]: Simplify -1/2 into -1/2
1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.662 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.662 * [taylor]: Taking taylor expansion of eps in x
1.662 * [backup-simplify]: Simplify eps into eps
1.662 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.662 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.662 * [taylor]: Taking taylor expansion of 2 in x
1.662 * [backup-simplify]: Simplify 2 into 2
1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.662 * [taylor]: Taking taylor expansion of x in x
1.662 * [backup-simplify]: Simplify 0 into 0
1.662 * [backup-simplify]: Simplify 1 into 1
1.663 * [backup-simplify]: Simplify (/ 1 1) into 1
1.663 * [backup-simplify]: Simplify (* 2 1) into 2
1.663 * [backup-simplify]: Simplify (+ 0 2) into 2
1.664 * [backup-simplify]: Simplify (* -1/2 2) into -1
1.664 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.664 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
1.664 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.664 * [taylor]: Taking taylor expansion of -1/2 in eps
1.664 * [backup-simplify]: Simplify -1/2 into -1/2
1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.664 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.664 * [taylor]: Taking taylor expansion of eps in eps
1.664 * [backup-simplify]: Simplify 0 into 0
1.664 * [backup-simplify]: Simplify 1 into 1
1.664 * [backup-simplify]: Simplify (/ 1 1) into 1
1.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.665 * [taylor]: Taking taylor expansion of 2 in eps
1.665 * [backup-simplify]: Simplify 2 into 2
1.665 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.665 * [taylor]: Taking taylor expansion of x in eps
1.665 * [backup-simplify]: Simplify x into x
1.665 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.665 * [backup-simplify]: Simplify (+ 1 0) into 1
1.668 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.668 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.668 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.669 * [taylor]: Taking taylor expansion of 0 in eps
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [taylor]: Taking taylor expansion of 0 in eps
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [taylor]: Taking taylor expansion of 0 in eps
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
1.669 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
1.670 * [backup-simplify]: Simplify (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) into (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
1.670 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in (x eps) around 0
1.670 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps
1.670 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
1.670 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
1.670 * [taylor]: Taking taylor expansion of 1/2 in eps
1.670 * [backup-simplify]: Simplify 1/2 into 1/2
1.670 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
1.670 * [taylor]: Taking taylor expansion of (* 2 x) in eps
1.670 * [taylor]: Taking taylor expansion of 2 in eps
1.670 * [backup-simplify]: Simplify 2 into 2
1.670 * [taylor]: Taking taylor expansion of x in eps
1.670 * [backup-simplify]: Simplify x into x
1.670 * [taylor]: Taking taylor expansion of eps in eps
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 1 into 1
1.670 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
1.670 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
1.670 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
1.670 * [backup-simplify]: Simplify (cos x) into (cos x)
1.670 * [backup-simplify]: Simplify (sin x) into (sin x)
1.670 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
1.670 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.670 * [taylor]: Taking taylor expansion of 1/2 in eps
1.670 * [backup-simplify]: Simplify 1/2 into 1/2
1.670 * [taylor]: Taking taylor expansion of eps in eps
1.671 * [backup-simplify]: Simplify 0 into 0
1.671 * [backup-simplify]: Simplify 1 into 1
1.671 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.671 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.671 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x
1.672 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
1.672 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
1.672 * [taylor]: Taking taylor expansion of 1/2 in x
1.672 * [backup-simplify]: Simplify 1/2 into 1/2
1.672 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
1.672 * [taylor]: Taking taylor expansion of (* 2 x) in x
1.672 * [taylor]: Taking taylor expansion of 2 in x
1.672 * [backup-simplify]: Simplify 2 into 2
1.672 * [taylor]: Taking taylor expansion of x in x
1.672 * [backup-simplify]: Simplify 0 into 0
1.672 * [backup-simplify]: Simplify 1 into 1
1.672 * [taylor]: Taking taylor expansion of eps in x
1.672 * [backup-simplify]: Simplify eps into eps
1.672 * [backup-simplify]: Simplify (* 2 0) into 0
1.672 * [backup-simplify]: Simplify (+ 0 eps) into eps
1.672 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
1.672 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
1.672 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
1.672 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x
1.672 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x
1.672 * [taylor]: Taking taylor expansion of 1/2 in x
1.672 * [backup-simplify]: Simplify 1/2 into 1/2
1.672 * [taylor]: Taking taylor expansion of eps in x
1.672 * [backup-simplify]: Simplify eps into eps
1.672 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
1.672 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
1.672 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
1.672 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x
1.672 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
1.672 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
1.672 * [taylor]: Taking taylor expansion of 1/2 in x
1.672 * [backup-simplify]: Simplify 1/2 into 1/2
1.672 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
1.673 * [taylor]: Taking taylor expansion of (* 2 x) in x
1.673 * [taylor]: Taking taylor expansion of 2 in x
1.673 * [backup-simplify]: Simplify 2 into 2
1.673 * [taylor]: Taking taylor expansion of x in x
1.673 * [backup-simplify]: Simplify 0 into 0
1.673 * [backup-simplify]: Simplify 1 into 1
1.673 * [taylor]: Taking taylor expansion of eps in x
1.673 * [backup-simplify]: Simplify eps into eps
1.673 * [backup-simplify]: Simplify (* 2 0) into 0
1.673 * [backup-simplify]: Simplify (+ 0 eps) into eps
1.673 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
1.673 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
1.673 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
1.673 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x
1.673 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x
1.673 * [taylor]: Taking taylor expansion of 1/2 in x
1.673 * [backup-simplify]: Simplify 1/2 into 1/2
1.673 * [taylor]: Taking taylor expansion of eps in x
1.673 * [backup-simplify]: Simplify eps into eps
1.673 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
1.673 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
1.673 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
1.673 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
1.673 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
1.674 * [backup-simplify]: Simplify (- 0) into 0
1.674 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
1.674 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps))
1.674 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 0) into 0
1.674 * [backup-simplify]: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps))
1.674 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) into (* (sin (* 1/2 eps)) (cos (* 1/2 eps)))
1.674 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 eps)) (cos (* 1/2 eps))) in eps
1.674 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
1.674 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.674 * [taylor]: Taking taylor expansion of 1/2 in eps
1.674 * [backup-simplify]: Simplify 1/2 into 1/2
1.674 * [taylor]: Taking taylor expansion of eps in eps
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify 1 into 1
1.674 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.675 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.675 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
1.675 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.675 * [taylor]: Taking taylor expansion of 1/2 in eps
1.675 * [backup-simplify]: Simplify 1/2 into 1/2
1.675 * [taylor]: Taking taylor expansion of eps in eps
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify 1 into 1
1.676 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.676 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.677 * [backup-simplify]: Simplify (* 0 1) into 0
1.677 * [backup-simplify]: Simplify 0 into 0
1.677 * [backup-simplify]: Simplify (+ 0) into 0
1.678 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0
1.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 eps)) into 0
1.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.679 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 0)) into 0
1.680 * [backup-simplify]: Simplify (+ 0 0) into 0
1.680 * [backup-simplify]: Simplify (+ 0) into 0
1.681 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
1.681 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
1.682 * [backup-simplify]: Simplify (+ 2 0) into 2
1.682 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
1.683 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.683 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
1.684 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
1.684 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
1.684 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* (- (sin (* 1/2 eps))) (sin (* 1/2 eps)))) into (- (pow (sin (* 1/2 eps)) 2))
1.684 * [taylor]: Taking taylor expansion of (- (pow (sin (* 1/2 eps)) 2)) in eps
1.684 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps
1.684 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
1.684 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.684 * [taylor]: Taking taylor expansion of 1/2 in eps
1.684 * [backup-simplify]: Simplify 1/2 into 1/2
1.684 * [taylor]: Taking taylor expansion of eps in eps
1.684 * [backup-simplify]: Simplify 0 into 0
1.684 * [backup-simplify]: Simplify 1 into 1
1.685 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.686 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
1.687 * [backup-simplify]: Simplify (+ 0) into 0
1.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
1.688 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2
1.688 * [backup-simplify]: Simplify 1/2 into 1/2
1.689 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.690 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0
1.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) into 0
1.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.692 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0
1.692 * [backup-simplify]: Simplify (+ 0 0) into 0
1.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.694 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
1.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1.695 * [backup-simplify]: Simplify (+ 0 0) into 0
1.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
1.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.697 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
1.698 * [backup-simplify]: Simplify (- 0) into 0
1.698 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
1.698 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* (- (sin (* 1/2 eps))) 0) (* (- (* 1/2 (cos (* 1/2 eps)))) (sin (* 1/2 eps))))) into (- (* 1/2 (* (sin (* 1/2 eps)) (cos (* 1/2 eps)))))
1.699 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (* 1/2 eps)) (cos (* 1/2 eps))))) in eps
1.699 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (* 1/2 eps)) (cos (* 1/2 eps)))) in eps
1.699 * [taylor]: Taking taylor expansion of 1/2 in eps
1.699 * [backup-simplify]: Simplify 1/2 into 1/2
1.699 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 eps)) (cos (* 1/2 eps))) in eps
1.699 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
1.699 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.699 * [taylor]: Taking taylor expansion of 1/2 in eps
1.699 * [backup-simplify]: Simplify 1/2 into 1/2
1.699 * [taylor]: Taking taylor expansion of eps in eps
1.699 * [backup-simplify]: Simplify 0 into 0
1.699 * [backup-simplify]: Simplify 1 into 1
1.699 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.700 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
1.700 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.700 * [taylor]: Taking taylor expansion of 1/2 in eps
1.700 * [backup-simplify]: Simplify 1/2 into 1/2
1.700 * [taylor]: Taking taylor expansion of eps in eps
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify 1 into 1
1.700 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.701 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.702 * [backup-simplify]: Simplify (* 0 1) into 0
1.702 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.702 * [backup-simplify]: Simplify (- 0) into 0
1.702 * [backup-simplify]: Simplify 0 into 0
1.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
1.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.705 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.706 * [backup-simplify]: Simplify (+ (* 0 -1/8) (+ (* 1/2 0) (* 0 1))) into 0
1.706 * [backup-simplify]: Simplify 0 into 0
1.707 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.708 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 eps)))) into 0
1.710 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.711 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.711 * [backup-simplify]: Simplify (+ 0 0) into 0
1.712 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.713 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
1.714 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.715 * [backup-simplify]: Simplify (+ 0 0) into 0
1.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 2) (* 0 eps)))) into 0
1.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.718 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin (* 1/2 eps))))
1.718 * [backup-simplify]: Simplify (- (- (* 1/6 (sin (* 1/2 eps))))) into (* 1/6 (sin (* 1/2 eps)))
1.719 * [backup-simplify]: Simplify (+ 0 (* 1/6 (sin (* 1/2 eps)))) into (* 1/6 (sin (* 1/2 eps)))
1.719 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* (- (sin (* 1/2 eps))) 0) (+ (* (- (* 1/2 (cos (* 1/2 eps)))) 0) (* (* 1/6 (sin (* 1/2 eps))) (sin (* 1/2 eps)))))) into (* 1/6 (pow (sin (* 1/2 eps)) 2))
1.719 * [taylor]: Taking taylor expansion of (* 1/6 (pow (sin (* 1/2 eps)) 2)) in eps
1.719 * [taylor]: Taking taylor expansion of 1/6 in eps
1.719 * [backup-simplify]: Simplify 1/6 into 1/6
1.719 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps
1.719 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
1.719 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.719 * [taylor]: Taking taylor expansion of 1/2 in eps
1.719 * [backup-simplify]: Simplify 1/2 into 1/2
1.719 * [taylor]: Taking taylor expansion of eps in eps
1.719 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify 1 into 1
1.720 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.721 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.721 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
1.722 * [backup-simplify]: Simplify (+ 0) into 0
1.722 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
1.723 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2
1.724 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4
1.724 * [backup-simplify]: Simplify (- 1/4) into -1/4
1.724 * [backup-simplify]: Simplify -1/4 into -1/4
1.724 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
1.725 * [backup-simplify]: Simplify (- 1/4) into -1/4
1.725 * [backup-simplify]: Simplify -1/4 into -1/4
1.725 * [backup-simplify]: Simplify (+ (* -1/4 (* (pow eps 2) x)) (+ (* -1/4 (* eps (pow x 2))) (* 1/2 (* eps 1)))) into (- (* 1/2 eps) (+ (* 1/4 (* x (pow eps 2))) (* 1/4 (* (pow x 2) eps))))
1.726 * [backup-simplify]: Simplify (* (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) (sin (/ (/ 1 eps) 2))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))
1.726 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in (x eps) around 0
1.726 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in eps
1.726 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
1.726 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.726 * [taylor]: Taking taylor expansion of 1/2 in eps
1.726 * [backup-simplify]: Simplify 1/2 into 1/2
1.726 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.726 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.726 * [taylor]: Taking taylor expansion of eps in eps
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify 1 into 1
1.726 * [backup-simplify]: Simplify (/ 1 1) into 1
1.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.726 * [taylor]: Taking taylor expansion of 2 in eps
1.726 * [backup-simplify]: Simplify 2 into 2
1.726 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.727 * [taylor]: Taking taylor expansion of x in eps
1.727 * [backup-simplify]: Simplify x into x
1.727 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.727 * [backup-simplify]: Simplify (+ 1 0) into 1
1.727 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.728 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.728 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps
1.728 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps
1.728 * [taylor]: Taking taylor expansion of 1/2 in eps
1.728 * [backup-simplify]: Simplify 1/2 into 1/2
1.728 * [taylor]: Taking taylor expansion of eps in eps
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify 1 into 1
1.728 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.728 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
1.728 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x
1.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
1.728 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.728 * [taylor]: Taking taylor expansion of 1/2 in x
1.728 * [backup-simplify]: Simplify 1/2 into 1/2
1.728 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.728 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.729 * [taylor]: Taking taylor expansion of eps in x
1.729 * [backup-simplify]: Simplify eps into eps
1.729 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.729 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.729 * [taylor]: Taking taylor expansion of 2 in x
1.729 * [backup-simplify]: Simplify 2 into 2
1.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.729 * [taylor]: Taking taylor expansion of x in x
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify 1 into 1
1.729 * [backup-simplify]: Simplify (/ 1 1) into 1
1.730 * [backup-simplify]: Simplify (* 2 1) into 2
1.730 * [backup-simplify]: Simplify (+ 0 2) into 2
1.730 * [backup-simplify]: Simplify (* 1/2 2) into 1
1.730 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.731 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x
1.731 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x
1.731 * [taylor]: Taking taylor expansion of 1/2 in x
1.731 * [backup-simplify]: Simplify 1/2 into 1/2
1.731 * [taylor]: Taking taylor expansion of eps in x
1.731 * [backup-simplify]: Simplify eps into eps
1.731 * [backup-simplify]: Simplify (/ 1/2 eps) into (/ 1/2 eps)
1.731 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
1.731 * [backup-simplify]: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps))
1.731 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x
1.731 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
1.731 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.731 * [taylor]: Taking taylor expansion of 1/2 in x
1.731 * [backup-simplify]: Simplify 1/2 into 1/2
1.731 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.731 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.731 * [taylor]: Taking taylor expansion of eps in x
1.731 * [backup-simplify]: Simplify eps into eps
1.731 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.731 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.731 * [taylor]: Taking taylor expansion of 2 in x
1.731 * [backup-simplify]: Simplify 2 into 2
1.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.731 * [taylor]: Taking taylor expansion of x in x
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 1 into 1
1.732 * [backup-simplify]: Simplify (/ 1 1) into 1
1.732 * [backup-simplify]: Simplify (* 2 1) into 2
1.733 * [backup-simplify]: Simplify (+ 0 2) into 2
1.733 * [backup-simplify]: Simplify (* 1/2 2) into 1
1.733 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.733 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x
1.733 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x
1.733 * [taylor]: Taking taylor expansion of 1/2 in x
1.733 * [backup-simplify]: Simplify 1/2 into 1/2
1.733 * [taylor]: Taking taylor expansion of eps in x
1.733 * [backup-simplify]: Simplify eps into eps
1.733 * [backup-simplify]: Simplify (/ 1/2 eps) into (/ 1/2 eps)
1.733 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
1.734 * [backup-simplify]: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps))
1.734 * [backup-simplify]: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps))
1.734 * [backup-simplify]: Simplify (* (cos (/ 1/2 eps)) 0) into 0
1.734 * [backup-simplify]: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps))
1.734 * [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)))
1.734 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in eps
1.734 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
1.734 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.734 * [taylor]: Taking taylor expansion of 1/2 in eps
1.734 * [backup-simplify]: Simplify 1/2 into 1/2
1.734 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.734 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.734 * [taylor]: Taking taylor expansion of eps in eps
1.734 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify 1 into 1
1.735 * [backup-simplify]: Simplify (/ 1 1) into 1
1.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.735 * [taylor]: Taking taylor expansion of 2 in eps
1.735 * [backup-simplify]: Simplify 2 into 2
1.735 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.735 * [taylor]: Taking taylor expansion of x in eps
1.735 * [backup-simplify]: Simplify x into x
1.735 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.735 * [backup-simplify]: Simplify (+ 1 0) into 1
1.736 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.736 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.736 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps
1.736 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps
1.736 * [taylor]: Taking taylor expansion of 1/2 in eps
1.736 * [backup-simplify]: Simplify 1/2 into 1/2
1.736 * [taylor]: Taking taylor expansion of eps in eps
1.736 * [backup-simplify]: Simplify 0 into 0
1.736 * [backup-simplify]: Simplify 1 into 1
1.737 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.737 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
1.737 * [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)))
1.737 * [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)))
1.737 * [backup-simplify]: Simplify (+ 0) into 0
1.737 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0
1.738 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0
1.738 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0
1.739 * [backup-simplify]: Simplify (+ 0 0) into 0
1.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0
1.739 * [taylor]: Taking taylor expansion of 0 in eps
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.740 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0
1.740 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.740 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.741 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0
1.741 * [backup-simplify]: Simplify (+ 0 0) into 0
1.741 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0
1.741 * [taylor]: Taking taylor expansion of 0 in eps
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0
1.742 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.743 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.744 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.745 * [backup-simplify]: Simplify (+ 0 0) into 0
1.745 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps)))))) into 0
1.745 * [taylor]: Taking taylor expansion of 0 in eps
1.745 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) (sin (/ 1/2 (/ 1 eps)))) into (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
1.746 * [backup-simplify]: Simplify (* (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) (sin (/ (/ 1 (- eps)) 2))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))
1.746 * [approximate]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in (x eps) around 0
1.746 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in eps
1.746 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
1.746 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.746 * [taylor]: Taking taylor expansion of -1/2 in eps
1.746 * [backup-simplify]: Simplify -1/2 into -1/2
1.746 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.746 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.746 * [taylor]: Taking taylor expansion of eps in eps
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify 1 into 1
1.746 * [backup-simplify]: Simplify (/ 1 1) into 1
1.746 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.746 * [taylor]: Taking taylor expansion of 2 in eps
1.746 * [backup-simplify]: Simplify 2 into 2
1.746 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.746 * [taylor]: Taking taylor expansion of x in eps
1.746 * [backup-simplify]: Simplify x into x
1.747 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.747 * [backup-simplify]: Simplify (+ 1 0) into 1
1.747 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.747 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.747 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps
1.747 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps
1.747 * [taylor]: Taking taylor expansion of -1/2 in eps
1.747 * [backup-simplify]: Simplify -1/2 into -1/2
1.747 * [taylor]: Taking taylor expansion of eps in eps
1.747 * [backup-simplify]: Simplify 0 into 0
1.747 * [backup-simplify]: Simplify 1 into 1
1.748 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.748 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
1.748 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x
1.748 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
1.748 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.748 * [taylor]: Taking taylor expansion of -1/2 in x
1.748 * [backup-simplify]: Simplify -1/2 into -1/2
1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.748 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.748 * [taylor]: Taking taylor expansion of eps in x
1.748 * [backup-simplify]: Simplify eps into eps
1.748 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.748 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.748 * [taylor]: Taking taylor expansion of 2 in x
1.748 * [backup-simplify]: Simplify 2 into 2
1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.748 * [taylor]: Taking taylor expansion of x in x
1.748 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify 1 into 1
1.748 * [backup-simplify]: Simplify (/ 1 1) into 1
1.748 * [backup-simplify]: Simplify (* 2 1) into 2
1.749 * [backup-simplify]: Simplify (+ 0 2) into 2
1.749 * [backup-simplify]: Simplify (* -1/2 2) into -1
1.749 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.749 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x
1.749 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x
1.749 * [taylor]: Taking taylor expansion of -1/2 in x
1.749 * [backup-simplify]: Simplify -1/2 into -1/2
1.749 * [taylor]: Taking taylor expansion of eps in x
1.749 * [backup-simplify]: Simplify eps into eps
1.749 * [backup-simplify]: Simplify (/ -1/2 eps) into (/ -1/2 eps)
1.749 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
1.749 * [backup-simplify]: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps))
1.749 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x
1.749 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
1.749 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.749 * [taylor]: Taking taylor expansion of -1/2 in x
1.749 * [backup-simplify]: Simplify -1/2 into -1/2
1.749 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.749 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.749 * [taylor]: Taking taylor expansion of eps in x
1.749 * [backup-simplify]: Simplify eps into eps
1.750 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.750 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.750 * [taylor]: Taking taylor expansion of 2 in x
1.750 * [backup-simplify]: Simplify 2 into 2
1.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.750 * [taylor]: Taking taylor expansion of x in x
1.750 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify 1 into 1
1.750 * [backup-simplify]: Simplify (/ 1 1) into 1
1.750 * [backup-simplify]: Simplify (* 2 1) into 2
1.750 * [backup-simplify]: Simplify (+ 0 2) into 2
1.751 * [backup-simplify]: Simplify (* -1/2 2) into -1
1.751 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.751 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x
1.751 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x
1.751 * [taylor]: Taking taylor expansion of -1/2 in x
1.751 * [backup-simplify]: Simplify -1/2 into -1/2
1.751 * [taylor]: Taking taylor expansion of eps in x
1.751 * [backup-simplify]: Simplify eps into eps
1.751 * [backup-simplify]: Simplify (/ -1/2 eps) into (/ -1/2 eps)
1.751 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
1.751 * [backup-simplify]: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps))
1.751 * [backup-simplify]: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps))
1.751 * [backup-simplify]: Simplify (* (cos (/ -1/2 eps)) 0) into 0
1.751 * [backup-simplify]: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps))
1.751 * [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)))
1.751 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in eps
1.751 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
1.751 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.751 * [taylor]: Taking taylor expansion of -1/2 in eps
1.752 * [backup-simplify]: Simplify -1/2 into -1/2
1.752 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.752 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.752 * [taylor]: Taking taylor expansion of eps in eps
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 1 into 1
1.752 * [backup-simplify]: Simplify (/ 1 1) into 1
1.752 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.752 * [taylor]: Taking taylor expansion of 2 in eps
1.752 * [backup-simplify]: Simplify 2 into 2
1.752 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.752 * [taylor]: Taking taylor expansion of x in eps
1.752 * [backup-simplify]: Simplify x into x
1.752 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.752 * [backup-simplify]: Simplify (+ 1 0) into 1
1.752 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.753 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
1.753 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps
1.753 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps
1.753 * [taylor]: Taking taylor expansion of -1/2 in eps
1.753 * [backup-simplify]: Simplify -1/2 into -1/2
1.753 * [taylor]: Taking taylor expansion of eps in eps
1.753 * [backup-simplify]: Simplify 0 into 0
1.753 * [backup-simplify]: Simplify 1 into 1
1.753 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.753 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
1.753 * [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)))
1.753 * [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)))
1.754 * [backup-simplify]: Simplify (+ 0) into 0
1.754 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0
1.754 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0
1.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.755 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0
1.756 * [backup-simplify]: Simplify (+ 0 0) into 0
1.756 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0
1.756 * [taylor]: Taking taylor expansion of 0 in eps
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify 0 into 0
1.757 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0
1.757 * [backup-simplify]: Simplify 0 into 0
1.757 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.758 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0
1.758 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.759 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0
1.760 * [backup-simplify]: Simplify (+ 0 0) into 0
1.760 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0
1.760 * [taylor]: Taking taylor expansion of 0 in eps
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.762 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.764 * [backup-simplify]: Simplify (+ 0 0) into 0
1.764 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps)))))) into 0
1.764 * [taylor]: Taking taylor expansion of 0 in eps
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) (sin (/ -1/2 (/ 1 (- eps))))) into (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
1.765 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
1.765 * [backup-simplify]: Simplify (/ (+ x (+ x eps)) 2) into (* 1/2 (+ (* 2 x) eps))
1.765 * [approximate]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in (x eps) around 0
1.765 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
1.765 * [taylor]: Taking taylor expansion of 1/2 in eps
1.765 * [backup-simplify]: Simplify 1/2 into 1/2
1.765 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
1.765 * [taylor]: Taking taylor expansion of (* 2 x) in eps
1.765 * [taylor]: Taking taylor expansion of 2 in eps
1.765 * [backup-simplify]: Simplify 2 into 2
1.765 * [taylor]: Taking taylor expansion of x in eps
1.765 * [backup-simplify]: Simplify x into x
1.765 * [taylor]: Taking taylor expansion of eps in eps
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 1 into 1
1.765 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
1.765 * [taylor]: Taking taylor expansion of 1/2 in x
1.765 * [backup-simplify]: Simplify 1/2 into 1/2
1.765 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
1.765 * [taylor]: Taking taylor expansion of (* 2 x) in x
1.765 * [taylor]: Taking taylor expansion of 2 in x
1.765 * [backup-simplify]: Simplify 2 into 2
1.765 * [taylor]: Taking taylor expansion of x in x
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 1 into 1
1.765 * [taylor]: Taking taylor expansion of eps in x
1.765 * [backup-simplify]: Simplify eps into eps
1.765 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
1.765 * [taylor]: Taking taylor expansion of 1/2 in x
1.765 * [backup-simplify]: Simplify 1/2 into 1/2
1.765 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
1.765 * [taylor]: Taking taylor expansion of (* 2 x) in x
1.765 * [taylor]: Taking taylor expansion of 2 in x
1.765 * [backup-simplify]: Simplify 2 into 2
1.765 * [taylor]: Taking taylor expansion of x in x
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 1 into 1
1.765 * [taylor]: Taking taylor expansion of eps in x
1.765 * [backup-simplify]: Simplify eps into eps
1.766 * [backup-simplify]: Simplify (* 2 0) into 0
1.766 * [backup-simplify]: Simplify (+ 0 eps) into eps
1.766 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
1.766 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
1.766 * [taylor]: Taking taylor expansion of 1/2 in eps
1.766 * [backup-simplify]: Simplify 1/2 into 1/2
1.766 * [taylor]: Taking taylor expansion of eps in eps
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify 1 into 1
1.766 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
1.767 * [backup-simplify]: Simplify (+ 2 0) into 2
1.767 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
1.767 * [taylor]: Taking taylor expansion of 1 in eps
1.767 * [backup-simplify]: Simplify 1 into 1
1.767 * [backup-simplify]: Simplify 1 into 1
1.767 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.768 * [backup-simplify]: Simplify 1/2 into 1/2
1.768 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1.768 * [backup-simplify]: Simplify (+ 0 0) into 0
1.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
1.769 * [taylor]: Taking taylor expansion of 0 in eps
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.770 * [backup-simplify]: Simplify 0 into 0
1.770 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.771 * [backup-simplify]: Simplify (+ 0 0) into 0
1.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 2) (* 0 eps)))) into 0
1.772 * [taylor]: Taking taylor expansion of 0 in eps
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify (+ (* 1/2 (* eps 1)) (* 1 (* 1 x))) into (+ x (* 1/2 eps))
1.772 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2) into (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))
1.772 * [approximate]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in (x eps) around 0
1.772 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.772 * [taylor]: Taking taylor expansion of 1/2 in eps
1.772 * [backup-simplify]: Simplify 1/2 into 1/2
1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.772 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.772 * [taylor]: Taking taylor expansion of eps in eps
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 1 into 1
1.773 * [backup-simplify]: Simplify (/ 1 1) into 1
1.773 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.773 * [taylor]: Taking taylor expansion of 2 in eps
1.773 * [backup-simplify]: Simplify 2 into 2
1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.773 * [taylor]: Taking taylor expansion of x in eps
1.773 * [backup-simplify]: Simplify x into x
1.773 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.773 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.773 * [taylor]: Taking taylor expansion of 1/2 in x
1.773 * [backup-simplify]: Simplify 1/2 into 1/2
1.773 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.773 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.773 * [taylor]: Taking taylor expansion of eps in x
1.773 * [backup-simplify]: Simplify eps into eps
1.773 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.773 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.773 * [taylor]: Taking taylor expansion of 2 in x
1.773 * [backup-simplify]: Simplify 2 into 2
1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.773 * [taylor]: Taking taylor expansion of x in x
1.773 * [backup-simplify]: Simplify 0 into 0
1.773 * [backup-simplify]: Simplify 1 into 1
1.773 * [backup-simplify]: Simplify (/ 1 1) into 1
1.773 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.773 * [taylor]: Taking taylor expansion of 1/2 in x
1.773 * [backup-simplify]: Simplify 1/2 into 1/2
1.773 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.773 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.773 * [taylor]: Taking taylor expansion of eps in x
1.773 * [backup-simplify]: Simplify eps into eps
1.774 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.774 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.774 * [taylor]: Taking taylor expansion of 2 in x
1.774 * [backup-simplify]: Simplify 2 into 2
1.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.774 * [taylor]: Taking taylor expansion of x in x
1.774 * [backup-simplify]: Simplify 0 into 0
1.774 * [backup-simplify]: Simplify 1 into 1
1.774 * [backup-simplify]: Simplify (/ 1 1) into 1
1.774 * [backup-simplify]: Simplify (* 2 1) into 2
1.775 * [backup-simplify]: Simplify (+ 0 2) into 2
1.775 * [backup-simplify]: Simplify (* 1/2 2) into 1
1.775 * [taylor]: Taking taylor expansion of 1 in eps
1.775 * [backup-simplify]: Simplify 1 into 1
1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.777 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.777 * [backup-simplify]: Simplify (+ (/ 1 eps) 0) into (/ 1 eps)
1.778 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 eps)) (* 0 2)) into (* 1/2 (/ 1 eps))
1.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
1.778 * [taylor]: Taking taylor expansion of 1/2 in eps
1.778 * [backup-simplify]: Simplify 1/2 into 1/2
1.778 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.778 * [taylor]: Taking taylor expansion of eps in eps
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify 1 into 1
1.778 * [backup-simplify]: Simplify (/ 1 1) into 1
1.779 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.779 * [backup-simplify]: Simplify 1/2 into 1/2
1.779 * [backup-simplify]: Simplify 1 into 1
1.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0
1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.781 * [backup-simplify]: Simplify (+ 0 0) into 0
1.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 eps)) (* 0 2))) into 0
1.782 * [taylor]: Taking taylor expansion of 0 in eps
1.782 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.784 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.786 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.786 * [backup-simplify]: Simplify (+ 0 0) into 0
1.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 eps)) (* 0 2)))) into 0
1.787 * [taylor]: Taking taylor expansion of 0 in eps
1.787 * [backup-simplify]: Simplify 0 into 0
1.788 * [backup-simplify]: Simplify 0 into 0
1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.789 * [backup-simplify]: Simplify 0 into 0
1.789 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.794 * [backup-simplify]: Simplify (+ 0 0) into 0
1.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 eps)) (* 0 2))))) into 0
1.796 * [taylor]: Taking taylor expansion of 0 in eps
1.796 * [backup-simplify]: Simplify 0 into 0
1.796 * [backup-simplify]: Simplify 0 into 0
1.796 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1/2 (* (/ 1 (/ 1 eps)) 1))) into (+ x (* 1/2 eps))
1.797 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2) into (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))
1.797 * [approximate]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in (x eps) around 0
1.797 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.797 * [taylor]: Taking taylor expansion of -1/2 in eps
1.797 * [backup-simplify]: Simplify -1/2 into -1/2
1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.797 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.797 * [taylor]: Taking taylor expansion of eps in eps
1.797 * [backup-simplify]: Simplify 0 into 0
1.797 * [backup-simplify]: Simplify 1 into 1
1.797 * [backup-simplify]: Simplify (/ 1 1) into 1
1.797 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.797 * [taylor]: Taking taylor expansion of 2 in eps
1.797 * [backup-simplify]: Simplify 2 into 2
1.797 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.797 * [taylor]: Taking taylor expansion of x in eps
1.797 * [backup-simplify]: Simplify x into x
1.797 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.797 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.797 * [taylor]: Taking taylor expansion of -1/2 in x
1.798 * [backup-simplify]: Simplify -1/2 into -1/2
1.798 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.798 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.798 * [taylor]: Taking taylor expansion of eps in x
1.798 * [backup-simplify]: Simplify eps into eps
1.798 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.798 * [taylor]: Taking taylor expansion of 2 in x
1.798 * [backup-simplify]: Simplify 2 into 2
1.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.798 * [taylor]: Taking taylor expansion of x in x
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 1 into 1
1.798 * [backup-simplify]: Simplify (/ 1 1) into 1
1.798 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.798 * [taylor]: Taking taylor expansion of -1/2 in x
1.798 * [backup-simplify]: Simplify -1/2 into -1/2
1.798 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.798 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.798 * [taylor]: Taking taylor expansion of eps in x
1.798 * [backup-simplify]: Simplify eps into eps
1.798 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.799 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.799 * [taylor]: Taking taylor expansion of 2 in x
1.799 * [backup-simplify]: Simplify 2 into 2
1.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.799 * [taylor]: Taking taylor expansion of x in x
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [backup-simplify]: Simplify 1 into 1
1.799 * [backup-simplify]: Simplify (/ 1 1) into 1
1.800 * [backup-simplify]: Simplify (* 2 1) into 2
1.800 * [backup-simplify]: Simplify (+ 0 2) into 2
1.800 * [backup-simplify]: Simplify (* -1/2 2) into -1
1.800 * [taylor]: Taking taylor expansion of -1 in eps
1.800 * [backup-simplify]: Simplify -1 into -1
1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.802 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.802 * [backup-simplify]: Simplify (+ (/ 1 eps) 0) into (/ 1 eps)
1.803 * [backup-simplify]: Simplify (+ (* -1/2 (/ 1 eps)) (* 0 2)) into (- (* 1/2 (/ 1 eps)))
1.803 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 eps))) in eps
1.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
1.803 * [taylor]: Taking taylor expansion of 1/2 in eps
1.803 * [backup-simplify]: Simplify 1/2 into 1/2
1.803 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.803 * [taylor]: Taking taylor expansion of eps in eps
1.803 * [backup-simplify]: Simplify 0 into 0
1.803 * [backup-simplify]: Simplify 1 into 1
1.803 * [backup-simplify]: Simplify (/ 1 1) into 1
1.804 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.804 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.804 * [backup-simplify]: Simplify -1/2 into -1/2
1.804 * [backup-simplify]: Simplify -1 into -1
1.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0
1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.806 * [backup-simplify]: Simplify (+ 0 0) into 0
1.807 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (/ 1 eps)) (* 0 2))) into 0
1.807 * [taylor]: Taking taylor expansion of 0 in eps
1.807 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.809 * [backup-simplify]: Simplify (- 0) into 0
1.809 * [backup-simplify]: Simplify 0 into 0
1.809 * [backup-simplify]: Simplify 0 into 0
1.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.812 * [backup-simplify]: Simplify (+ 0 0) into 0
1.813 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 eps)) (* 0 2)))) into 0
1.813 * [taylor]: Taking taylor expansion of 0 in eps
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.815 * [backup-simplify]: Simplify (- 0) into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.817 * [backup-simplify]: Simplify (+ 0 0) into 0
1.818 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 eps)) (* 0 2))))) into 0
1.818 * [taylor]: Taking taylor expansion of 0 in eps
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* -1/2 (* (/ 1 (/ 1 (- eps))) 1))) into (+ x (* 1/2 eps))
1.819 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1)
1.819 * [backup-simplify]: Simplify (+ x (+ x eps)) into (+ (* 2 x) eps)
1.819 * [approximate]: Taking taylor expansion of (+ (* 2 x) eps) in (x eps) around 0
1.819 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
1.819 * [taylor]: Taking taylor expansion of (* 2 x) in eps
1.819 * [taylor]: Taking taylor expansion of 2 in eps
1.819 * [backup-simplify]: Simplify 2 into 2
1.819 * [taylor]: Taking taylor expansion of x in eps
1.819 * [backup-simplify]: Simplify x into x
1.819 * [taylor]: Taking taylor expansion of eps in eps
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 1 into 1
1.819 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
1.819 * [taylor]: Taking taylor expansion of (* 2 x) in x
1.819 * [taylor]: Taking taylor expansion of 2 in x
1.819 * [backup-simplify]: Simplify 2 into 2
1.819 * [taylor]: Taking taylor expansion of x in x
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 1 into 1
1.819 * [taylor]: Taking taylor expansion of eps in x
1.819 * [backup-simplify]: Simplify eps into eps
1.819 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
1.819 * [taylor]: Taking taylor expansion of (* 2 x) in x
1.819 * [taylor]: Taking taylor expansion of 2 in x
1.820 * [backup-simplify]: Simplify 2 into 2
1.820 * [taylor]: Taking taylor expansion of x in x
1.820 * [backup-simplify]: Simplify 0 into 0
1.820 * [backup-simplify]: Simplify 1 into 1
1.820 * [taylor]: Taking taylor expansion of eps in x
1.820 * [backup-simplify]: Simplify eps into eps
1.820 * [backup-simplify]: Simplify (* 2 0) into 0
1.820 * [backup-simplify]: Simplify (+ 0 eps) into eps
1.820 * [taylor]: Taking taylor expansion of eps in eps
1.820 * [backup-simplify]: Simplify 0 into 0
1.820 * [backup-simplify]: Simplify 1 into 1
1.820 * [backup-simplify]: Simplify 0 into 0
1.821 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
1.821 * [backup-simplify]: Simplify (+ 2 0) into 2
1.821 * [taylor]: Taking taylor expansion of 2 in eps
1.821 * [backup-simplify]: Simplify 2 into 2
1.821 * [backup-simplify]: Simplify 2 into 2
1.822 * [backup-simplify]: Simplify 1 into 1
1.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1.823 * [backup-simplify]: Simplify (+ 0 0) into 0
1.823 * [taylor]: Taking taylor expansion of 0 in eps
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.824 * [backup-simplify]: Simplify (+ 0 0) into 0
1.824 * [taylor]: Taking taylor expansion of 0 in eps
1.824 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify (+ (* 1 (* eps 1)) (* 2 (* 1 x))) into (+ (* 2 x) eps)
1.825 * [backup-simplify]: Simplify (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) into (+ (/ 1 eps) (* 2 (/ 1 x)))
1.825 * [approximate]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in (x eps) around 0
1.825 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.825 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.825 * [taylor]: Taking taylor expansion of eps in eps
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 1 into 1
1.825 * [backup-simplify]: Simplify (/ 1 1) into 1
1.826 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.826 * [taylor]: Taking taylor expansion of 2 in eps
1.826 * [backup-simplify]: Simplify 2 into 2
1.826 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.826 * [taylor]: Taking taylor expansion of x in eps
1.826 * [backup-simplify]: Simplify x into x
1.826 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.826 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.826 * [taylor]: Taking taylor expansion of eps in x
1.826 * [backup-simplify]: Simplify eps into eps
1.826 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.826 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.826 * [taylor]: Taking taylor expansion of 2 in x
1.826 * [backup-simplify]: Simplify 2 into 2
1.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.826 * [taylor]: Taking taylor expansion of x in x
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 1 into 1
1.826 * [backup-simplify]: Simplify (/ 1 1) into 1
1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.827 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.827 * [taylor]: Taking taylor expansion of eps in x
1.827 * [backup-simplify]: Simplify eps into eps
1.827 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.827 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.827 * [taylor]: Taking taylor expansion of 2 in x
1.827 * [backup-simplify]: Simplify 2 into 2
1.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.827 * [taylor]: Taking taylor expansion of x in x
1.827 * [backup-simplify]: Simplify 0 into 0
1.827 * [backup-simplify]: Simplify 1 into 1
1.827 * [backup-simplify]: Simplify (/ 1 1) into 1
1.828 * [backup-simplify]: Simplify (* 2 1) into 2
1.828 * [backup-simplify]: Simplify (+ 0 2) into 2
1.828 * [taylor]: Taking taylor expansion of 2 in eps
1.828 * [backup-simplify]: Simplify 2 into 2
1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.829 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.830 * [backup-simplify]: Simplify (+ (/ 1 eps) 0) into (/ 1 eps)
1.830 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.830 * [taylor]: Taking taylor expansion of eps in eps
1.830 * [backup-simplify]: Simplify 0 into 0
1.830 * [backup-simplify]: Simplify 1 into 1
1.830 * [backup-simplify]: Simplify (/ 1 1) into 1
1.830 * [backup-simplify]: Simplify 1 into 1
1.830 * [backup-simplify]: Simplify 2 into 2
1.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0
1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.832 * [backup-simplify]: Simplify (+ 0 0) into 0
1.832 * [taylor]: Taking taylor expansion of 0 in eps
1.832 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.836 * [backup-simplify]: Simplify (+ 0 0) into 0
1.836 * [taylor]: Taking taylor expansion of 0 in eps
1.836 * [backup-simplify]: Simplify 0 into 0
1.836 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.839 * [backup-simplify]: Simplify (+ 0 0) into 0
1.839 * [taylor]: Taking taylor expansion of 0 in eps
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 eps)) 1))) into (+ (* 2 x) eps)
1.839 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) into (- (+ (/ 1 eps) (* 2 (/ 1 x))))
1.839 * [approximate]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in (x eps) around 0
1.839 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
1.839 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
1.839 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.839 * [taylor]: Taking taylor expansion of eps in eps
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [backup-simplify]: Simplify (/ 1 1) into 1
1.839 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
1.839 * [taylor]: Taking taylor expansion of 2 in eps
1.839 * [backup-simplify]: Simplify 2 into 2
1.839 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
1.840 * [taylor]: Taking taylor expansion of x in eps
1.840 * [backup-simplify]: Simplify x into x
1.840 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.840 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.840 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.840 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.840 * [taylor]: Taking taylor expansion of eps in x
1.840 * [backup-simplify]: Simplify eps into eps
1.840 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.840 * [taylor]: Taking taylor expansion of 2 in x
1.840 * [backup-simplify]: Simplify 2 into 2
1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.840 * [taylor]: Taking taylor expansion of x in x
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify 1 into 1
1.840 * [backup-simplify]: Simplify (/ 1 1) into 1
1.840 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
1.840 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
1.840 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
1.840 * [taylor]: Taking taylor expansion of eps in x
1.840 * [backup-simplify]: Simplify eps into eps
1.840 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
1.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
1.840 * [taylor]: Taking taylor expansion of 2 in x
1.840 * [backup-simplify]: Simplify 2 into 2
1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.840 * [taylor]: Taking taylor expansion of x in x
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify 1 into 1
1.841 * [backup-simplify]: Simplify (/ 1 1) into 1
1.841 * [backup-simplify]: Simplify (* 2 1) into 2
1.841 * [backup-simplify]: Simplify (+ 0 2) into 2
1.841 * [backup-simplify]: Simplify (- 2) into -2
1.841 * [taylor]: Taking taylor expansion of -2 in eps
1.841 * [backup-simplify]: Simplify -2 into -2
1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.842 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.842 * [backup-simplify]: Simplify (+ (/ 1 eps) 0) into (/ 1 eps)
1.842 * [backup-simplify]: Simplify (- (/ 1 eps)) into (- (/ 1 eps))
1.842 * [taylor]: Taking taylor expansion of (- (/ 1 eps)) in eps
1.842 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
1.842 * [taylor]: Taking taylor expansion of eps in eps
1.842 * [backup-simplify]: Simplify 0 into 0
1.842 * [backup-simplify]: Simplify 1 into 1
1.843 * [backup-simplify]: Simplify (/ 1 1) into 1
1.843 * [backup-simplify]: Simplify (- 1) into -1
1.843 * [backup-simplify]: Simplify -1 into -1
1.843 * [backup-simplify]: Simplify -2 into -2
1.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0
1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1.845 * [backup-simplify]: Simplify (- 0) into 0
1.845 * [taylor]: Taking taylor expansion of 0 in eps
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.845 * [backup-simplify]: Simplify (- 0) into 0
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.847 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.847 * [backup-simplify]: Simplify (+ 0 0) into 0
1.847 * [backup-simplify]: Simplify (- 0) into 0
1.847 * [taylor]: Taking taylor expansion of 0 in eps
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.848 * [backup-simplify]: Simplify (- 0) into 0
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.850 * [backup-simplify]: Simplify (+ 0 0) into 0
1.850 * [backup-simplify]: Simplify (- 0) into 0
1.850 * [taylor]: Taking taylor expansion of 0 in eps
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- eps))) 1))) into (+ (* 2 x) eps)
1.850 * * * [progress]: simplifying candidates
1.851 * [simplify]: Simplifying:
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))
  (+ (log (cos (/ (+ x (+ x eps)) 2))) (log (sin (/ eps 2))))
  (log (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))))
  (exp (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))))
  (* (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2))) (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))))
  (* (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))
  (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))))
  (* (* (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))))
  (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))))
  (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))))
  (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sqrt (sin (/ eps 2))))
  (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sqrt (sin (/ eps 2))))
  (* (cos (/ (+ x (+ x eps)) 2)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))))
  (* (cos (/ (+ x (+ x eps)) 2)) (sqrt (sin (/ eps 2))))
  (* (cos (/ (+ x (+ x eps)) 2)) 1)
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (sin (/ eps 2)))
  (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sin (/ eps 2)))
  (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))
  (- (log (+ x (+ x eps))) (log 2))
  (log (/ (+ x (+ x eps)) 2))
  (exp (/ (+ x (+ x eps)) 2))
  (/ (* (* (+ x (+ x eps)) (+ x (+ x eps))) (+ x (+ x eps))) (* (* 2 2) 2))
  (* (cbrt (/ (+ x (+ x eps)) 2)) (cbrt (/ (+ x (+ x eps)) 2)))
  (cbrt (/ (+ x (+ x eps)) 2))
  (* (* (/ (+ x (+ x eps)) 2) (/ (+ x (+ x eps)) 2)) (/ (+ x (+ x eps)) 2))
  (sqrt (/ (+ x (+ x eps)) 2))
  (sqrt (/ (+ x (+ x eps)) 2))
  (- (+ x (+ x eps)))
  (- 2)
  (/ (* (cbrt (+ x (+ x eps))) (cbrt (+ x (+ x eps)))) (* (cbrt 2) (cbrt 2)))
  (/ (cbrt (+ x (+ x eps))) (cbrt 2))
  (/ (* (cbrt (+ x (+ x eps))) (cbrt (+ x (+ x eps)))) (sqrt 2))
  (/ (cbrt (+ x (+ x eps))) (sqrt 2))
  (/ (* (cbrt (+ x (+ x eps))) (cbrt (+ x (+ x eps)))) 1)
  (/ (cbrt (+ x (+ x eps))) 2)
  (/ (sqrt (+ x (+ x eps))) (* (cbrt 2) (cbrt 2)))
  (/ (sqrt (+ x (+ x eps))) (cbrt 2))
  (/ (sqrt (+ x (+ x eps))) (sqrt 2))
  (/ (sqrt (+ x (+ x eps))) (sqrt 2))
  (/ (sqrt (+ x (+ x eps))) 1)
  (/ (sqrt (+ x (+ x eps))) 2)
  (/ 1 (* (cbrt 2) (cbrt 2)))
  (/ (+ x (+ x eps)) (cbrt 2))
  (/ 1 (sqrt 2))
  (/ (+ x (+ x eps)) (sqrt 2))
  (/ 1 1)
  (/ (+ x (+ x eps)) 2)
  (/ 1 (* (cbrt 2) (cbrt 2)))
  (/ (+ x (+ x eps)) (cbrt 2))
  (/ 1 (sqrt 2))
  (/ (+ x (+ x eps)) (sqrt 2))
  (/ 1 1)
  (/ (+ x (+ x eps)) 2)
  (/ 1 (* (cbrt 2) (cbrt 2)))
  (/ (+ x (+ x eps)) (cbrt 2))
  (/ 1 (sqrt 2))
  (/ (+ x (+ x eps)) (sqrt 2))
  (/ 1 1)
  (/ (+ x (+ x eps)) 2)
  (/ 1 2)
  (/ 2 (+ x (+ x eps)))
  (/ (+ x (+ x eps)) (* (cbrt 2) (cbrt 2)))
  (/ (+ x (+ x eps)) (sqrt 2))
  (/ (+ x (+ x eps)) 1)
  (/ 2 (cbrt (+ x (+ x eps))))
  (/ 2 (sqrt (+ x (+ x eps))))
  (/ 2 (+ x (+ x eps)))
  (/ 2 (+ x (+ x eps)))
  (/ 2 (+ x (+ x eps)))
  (* 2 (+ (* x x) (- (* (+ x eps) (+ x eps)) (* x (+ x eps)))))
  (* 2 (- x (+ x eps)))
  (* (exp x) (* (exp x) (exp eps)))
  (* (exp x) (exp (+ x eps)))
  (log (+ x (+ x eps)))
  (exp (+ x (+ x eps)))
  (* (cbrt (+ x (+ x eps))) (cbrt (+ x (+ x eps))))
  (cbrt (+ x (+ x eps)))
  (* (* (+ x (+ x eps)) (+ x (+ x eps))) (+ x (+ x eps)))
  (sqrt (+ x (+ x eps)))
  (sqrt (+ x (+ x eps)))
  (+ (pow x 3) (pow (+ x eps) 3))
  (+ (* x x) (- (* (+ x eps) (+ x eps)) (* x (+ x eps))))
  (- (* x x) (* (+ x eps) (+ x eps)))
  (- x (+ x eps))
  (+ x (+ x eps))
  (+ x (+ x eps))
  (+ x x)
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- (* 1/2 eps) (+ (* 1/4 (* x (pow eps 2))) (* 1/4 (* (pow x 2) eps))))
  (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
  (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
  (+ x (* 1/2 eps))
  (+ x (* 1/2 eps))
  (+ x (* 1/2 eps))
  (+ (* 2 x) eps)
  (+ (* 2 x) eps)
  (+ (* 2 x) eps)
1.853 * * [simplify]: iteration 0: 128 enodes
1.876 * * [simplify]: iteration 1: 303 enodes
2.017 * * [simplify]: iteration 2: 1387 enodes
2.377 * * [simplify]: iteration complete: 5000 enodes
2.377 * * [simplify]: Extracting #0: cost 67 inf + 0
2.378 * * [simplify]: Extracting #1: cost 462 inf + 3
2.385 * * [simplify]: Extracting #2: cost 1628 inf + 2165
2.413 * * [simplify]: Extracting #3: cost 1648 inf + 92228
2.473 * * [simplify]: Extracting #4: cost 325 inf + 308530
2.559 * * [simplify]: Extracting #5: cost 31 inf + 354035
2.653 * * [simplify]: Extracting #6: cost 4 inf + 358754
2.726 * * [simplify]: Extracting #7: cost 0 inf + 359847
2.844 * [simplify]: Simplified to:
  (log (cos (/ (+ (+ x x) eps) 2)))
  (exp (cos (/ (+ (+ x x) eps) 2)))
  (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (cbrt (cos (/ (+ (+ x x) eps) 2))))
  (cbrt (cos (/ (+ (+ x x) eps) 2)))
  (* (cos (/ (+ (+ x x) eps) 2)) (* (cos (/ (+ (+ x x) eps) 2)) (cos (/ (+ (+ x x) eps) 2))))
  (sqrt (cos (/ (+ (+ x x) eps) 2)))
  (sqrt (cos (/ (+ (+ x x) eps) 2)))
  (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2)))
  (log (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2))))
  (log (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2))))
  (exp (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2))))
  (* (* (* (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2)))
  (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2)))))
  (cbrt (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2))))
  (* (* (* (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2)))
  (sqrt (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2))))
  (sqrt (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2))))
  (* (sqrt (sin (/ eps 2))) (sqrt (cos (/ (+ (+ x x) eps) 2))))
  (* (sqrt (sin (/ eps 2))) (sqrt (cos (/ (+ (+ x x) eps) 2))))
  (* (* (cbrt (sin (/ eps 2))) (cos (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ eps 2))))
  (* (cos (/ (+ (+ x x) eps) 2)) (sqrt (sin (/ eps 2))))
  (cos (/ (+ (+ x x) eps) 2))
  (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2)))
  (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2)))
  (* (sin (/ eps 2)) (cos (/ (+ (+ x x) eps) 2)))
  (log (/ (+ (+ x x) eps) 2))
  (log (/ (+ (+ x x) eps) 2))
  (sqrt (exp (+ x (+ x eps))))
  (/ (* (+ (+ x x) eps) (+ (+ x x) eps)) (/ 8 (+ (+ x x) eps)))
  (* (cbrt (/ (+ (+ x x) eps) 2)) (cbrt (/ (+ (+ x x) eps) 2)))
  (cbrt (/ (+ (+ x x) eps) 2))
  (* (* (/ (+ (+ x x) eps) 2) (/ (+ (+ x x) eps) 2)) (/ (+ (+ x x) eps) 2))
  (sqrt (/ (+ (+ x x) eps) 2))
  (sqrt (/ (+ (+ x x) eps) 2))
  (- (+ (+ x x) eps))
  -2
  (* (/ (cbrt (+ (+ x x) eps)) (cbrt 2)) (/ (cbrt (+ (+ x x) eps)) (cbrt 2)))
  (/ (cbrt (+ (+ x x) eps)) (cbrt 2))
  (/ (cbrt (+ (+ x x) eps)) (/ (sqrt 2) (cbrt (+ (+ x x) eps))))
  (/ (cbrt (+ (+ x x) eps)) (sqrt 2))
  (* (cbrt (+ (+ x x) eps)) (cbrt (+ (+ x x) eps)))
  (/ (cbrt (+ (+ x x) eps)) 2)
  (/ (/ (sqrt (+ (+ x x) eps)) (cbrt 2)) (cbrt 2))
  (/ (sqrt (+ (+ x x) eps)) (cbrt 2))
  (/ (sqrt (+ (+ x x) eps)) (sqrt 2))
  (/ (sqrt (+ (+ x x) eps)) (sqrt 2))
  (sqrt (+ (+ x x) eps))
  (/ (sqrt (+ (+ x x) eps)) 2)
  (/ (/ 1 (cbrt 2)) (cbrt 2))
  (/ (+ (+ x x) eps) (cbrt 2))
  (/ 1 (sqrt 2))
  (/ (+ (+ x x) eps) (sqrt 2))
  1
  (/ (+ (+ x x) eps) 2)
  (/ (/ 1 (cbrt 2)) (cbrt 2))
  (/ (+ (+ x x) eps) (cbrt 2))
  (/ 1 (sqrt 2))
  (/ (+ (+ x x) eps) (sqrt 2))
  1
  (/ (+ (+ x x) eps) 2)
  (/ (/ 1 (cbrt 2)) (cbrt 2))
  (/ (+ (+ x x) eps) (cbrt 2))
  (/ 1 (sqrt 2))
  (/ (+ (+ x x) eps) (sqrt 2))
  1
  (/ (+ (+ x x) eps) 2)
  1/2
  (/ 2 (+ (+ x x) eps))
  (/ (/ (+ (+ x x) eps) (cbrt 2)) (cbrt 2))
  (/ (+ (+ x x) eps) (sqrt 2))
  (+ (+ x x) eps)
  (/ 2 (cbrt (+ (+ x x) eps)))
  (/ 2 (sqrt (+ (+ x x) eps)))
  (/ 2 (+ (+ x x) eps))
  (/ 2 (+ (+ x x) eps))
  (/ 2 (+ (+ x x) eps))
  (* 2 (+ (* x x) (* (+ x eps) (- (+ x eps) x))))
  (* (- eps) 2)
  (exp (+ x (+ x eps)))
  (exp (+ x (+ x eps)))
  (log (+ (+ x x) eps))
  (exp (+ x (+ x eps)))
  (* (cbrt (+ (+ x x) eps)) (cbrt (+ (+ x x) eps)))
  (cbrt (+ (+ x x) eps))
  (* (+ (+ x x) eps) (* (+ (+ x x) eps) (+ (+ x x) eps)))
  (sqrt (+ (+ x x) eps))
  (sqrt (+ (+ x x) eps))
  (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps))))
  (+ (* x x) (* (+ x eps) (- (+ x eps) x)))
  (* (- eps) (+ (+ x x) eps))
  (- eps)
  (+ (+ x x) eps)
  (+ (+ x x) eps)
  (+ x x)
  (- 1 (* 1/2 (* (+ x eps) x)))
  (cos (+ (* 1/2 eps) x))
  (cos (+ (* 1/2 eps) x))
  (- (* 1/2 eps) (* (+ (* x (* eps eps)) (* eps (* x x))) 1/4))
  (* (sin (* 1/2 eps)) (cos (+ (* 1/2 eps) x)))
  (* (sin (* 1/2 eps)) (cos (+ (* 1/2 eps) x)))
  (+ (* 1/2 eps) x)
  (+ (* 1/2 eps) x)
  (+ (* 1/2 eps) x)
  (+ (+ x x) eps)
  (+ (+ x x) eps)
  (+ (+ x x) eps)
2.856 * * * [progress]: adding candidates to table
3.324 * * [progress]: iteration 3 / 4
3.324 * * * [progress]: picking best candidate
3.361 * * * * [pick]: Picked  #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2)))))>
3.361 * * * [progress]: localizing error
3.403 * * * [progress]: generating rewritten candidates
3.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2)
3.430 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2)
3.859 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1)
3.900 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
3.912 * * * [progress]: generating series expansions
3.912 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2)
3.912 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
3.912 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
3.912 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
3.912 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
3.912 * [taylor]: Taking taylor expansion of 1/2 in eps
3.912 * [backup-simplify]: Simplify 1/2 into 1/2
3.912 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
3.912 * [taylor]: Taking taylor expansion of (* 2 x) in eps
3.912 * [taylor]: Taking taylor expansion of 2 in eps
3.912 * [backup-simplify]: Simplify 2 into 2
3.912 * [taylor]: Taking taylor expansion of x in eps
3.912 * [backup-simplify]: Simplify x into x
3.912 * [taylor]: Taking taylor expansion of eps in eps
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
3.912 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
3.912 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
3.912 * [backup-simplify]: Simplify (cos x) into (cos x)
3.912 * [backup-simplify]: Simplify (sin x) into (sin x)
3.912 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
3.912 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
3.912 * [taylor]: Taking taylor expansion of 1/2 in x
3.912 * [backup-simplify]: Simplify 1/2 into 1/2
3.912 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
3.912 * [taylor]: Taking taylor expansion of (* 2 x) in x
3.912 * [taylor]: Taking taylor expansion of 2 in x
3.912 * [backup-simplify]: Simplify 2 into 2
3.912 * [taylor]: Taking taylor expansion of x in x
3.912 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 1 into 1
3.913 * [taylor]: Taking taylor expansion of eps in x
3.913 * [backup-simplify]: Simplify eps into eps
3.913 * [backup-simplify]: Simplify (* 2 0) into 0
3.913 * [backup-simplify]: Simplify (+ 0 eps) into eps
3.913 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
3.913 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
3.913 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
3.913 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
3.913 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
3.913 * [taylor]: Taking taylor expansion of 1/2 in x
3.913 * [backup-simplify]: Simplify 1/2 into 1/2
3.913 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
3.913 * [taylor]: Taking taylor expansion of (* 2 x) in x
3.913 * [taylor]: Taking taylor expansion of 2 in x
3.913 * [backup-simplify]: Simplify 2 into 2
3.913 * [taylor]: Taking taylor expansion of x in x
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 1 into 1
3.913 * [taylor]: Taking taylor expansion of eps in x
3.913 * [backup-simplify]: Simplify eps into eps
3.914 * [backup-simplify]: Simplify (* 2 0) into 0
3.914 * [backup-simplify]: Simplify (+ 0 eps) into eps
3.914 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
3.914 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
3.914 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
3.914 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
3.914 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
3.914 * [backup-simplify]: Simplify (- 0) into 0
3.914 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
3.915 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
3.915 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
3.915 * [taylor]: Taking taylor expansion of 1/2 in eps
3.915 * [backup-simplify]: Simplify 1/2 into 1/2
3.915 * [taylor]: Taking taylor expansion of eps in eps
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 1 into 1
3.915 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.915 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.915 * [backup-simplify]: Simplify 1 into 1
3.916 * [backup-simplify]: Simplify (+ 0) into 0
3.916 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
3.916 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
3.917 * [backup-simplify]: Simplify (+ 2 0) into 2
3.919 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
3.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.922 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
3.922 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
3.922 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
3.922 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
3.922 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
3.922 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
3.922 * [taylor]: Taking taylor expansion of 1/2 in eps
3.922 * [backup-simplify]: Simplify 1/2 into 1/2
3.922 * [taylor]: Taking taylor expansion of eps in eps
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 1 into 1
3.923 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.923 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.923 * [backup-simplify]: Simplify (- 0) into 0
3.923 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify (+ 0) into 0
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.925 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
3.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
3.926 * [backup-simplify]: Simplify (+ 0 0) into 0
3.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
3.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.927 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
3.927 * [backup-simplify]: Simplify (- 0) into 0
3.927 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
3.927 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
3.927 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
3.928 * [taylor]: Taking taylor expansion of 1/2 in eps
3.928 * [backup-simplify]: Simplify 1/2 into 1/2
3.928 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
3.928 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
3.928 * [taylor]: Taking taylor expansion of 1/2 in eps
3.928 * [backup-simplify]: Simplify 1/2 into 1/2
3.928 * [taylor]: Taking taylor expansion of eps in eps
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 1 into 1
3.928 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.928 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.929 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.929 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.929 * [backup-simplify]: Simplify -1/2 into -1/2
3.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
3.930 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.930 * [backup-simplify]: Simplify -1/2 into -1/2
3.930 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
3.930 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.930 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
3.930 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.930 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.930 * [taylor]: Taking taylor expansion of 1/2 in eps
3.930 * [backup-simplify]: Simplify 1/2 into 1/2
3.930 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.930 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.930 * [taylor]: Taking taylor expansion of eps in eps
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [backup-simplify]: Simplify (/ 1 1) into 1
3.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.930 * [taylor]: Taking taylor expansion of 2 in eps
3.931 * [backup-simplify]: Simplify 2 into 2
3.931 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.931 * [taylor]: Taking taylor expansion of x in eps
3.931 * [backup-simplify]: Simplify x into x
3.931 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.931 * [backup-simplify]: Simplify (+ 1 0) into 1
3.931 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.931 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.931 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.931 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.931 * [taylor]: Taking taylor expansion of 1/2 in x
3.931 * [backup-simplify]: Simplify 1/2 into 1/2
3.931 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.931 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.931 * [taylor]: Taking taylor expansion of eps in x
3.931 * [backup-simplify]: Simplify eps into eps
3.931 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.931 * [taylor]: Taking taylor expansion of 2 in x
3.931 * [backup-simplify]: Simplify 2 into 2
3.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.932 * [taylor]: Taking taylor expansion of x in x
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 1 into 1
3.932 * [backup-simplify]: Simplify (/ 1 1) into 1
3.932 * [backup-simplify]: Simplify (* 2 1) into 2
3.932 * [backup-simplify]: Simplify (+ 0 2) into 2
3.933 * [backup-simplify]: Simplify (* 1/2 2) into 1
3.933 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.933 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.933 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.933 * [taylor]: Taking taylor expansion of 1/2 in x
3.933 * [backup-simplify]: Simplify 1/2 into 1/2
3.933 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.933 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.933 * [taylor]: Taking taylor expansion of eps in x
3.933 * [backup-simplify]: Simplify eps into eps
3.933 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.933 * [taylor]: Taking taylor expansion of 2 in x
3.933 * [backup-simplify]: Simplify 2 into 2
3.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.933 * [taylor]: Taking taylor expansion of x in x
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 1 into 1
3.933 * [backup-simplify]: Simplify (/ 1 1) into 1
3.934 * [backup-simplify]: Simplify (* 2 1) into 2
3.934 * [backup-simplify]: Simplify (+ 0 2) into 2
3.934 * [backup-simplify]: Simplify (* 1/2 2) into 1
3.934 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.934 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.934 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.934 * [taylor]: Taking taylor expansion of 1/2 in eps
3.934 * [backup-simplify]: Simplify 1/2 into 1/2
3.934 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.934 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.934 * [taylor]: Taking taylor expansion of eps in eps
3.934 * [backup-simplify]: Simplify 0 into 0
3.934 * [backup-simplify]: Simplify 1 into 1
3.935 * [backup-simplify]: Simplify (/ 1 1) into 1
3.935 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.935 * [taylor]: Taking taylor expansion of 2 in eps
3.935 * [backup-simplify]: Simplify 2 into 2
3.935 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.935 * [taylor]: Taking taylor expansion of x in eps
3.935 * [backup-simplify]: Simplify x into x
3.935 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.935 * [backup-simplify]: Simplify (+ 1 0) into 1
3.935 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.935 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.936 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.936 * [taylor]: Taking taylor expansion of 0 in eps
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [taylor]: Taking taylor expansion of 0 in eps
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [taylor]: Taking taylor expansion of 0 in eps
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
3.936 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.936 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
3.936 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.936 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.936 * [taylor]: Taking taylor expansion of -1/2 in eps
3.936 * [backup-simplify]: Simplify -1/2 into -1/2
3.936 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.936 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.936 * [taylor]: Taking taylor expansion of eps in eps
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (/ 1 1) into 1
3.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.937 * [taylor]: Taking taylor expansion of 2 in eps
3.937 * [backup-simplify]: Simplify 2 into 2
3.937 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.937 * [taylor]: Taking taylor expansion of x in eps
3.937 * [backup-simplify]: Simplify x into x
3.937 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.937 * [backup-simplify]: Simplify (+ 1 0) into 1
3.937 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
3.937 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.937 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.937 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.938 * [taylor]: Taking taylor expansion of -1/2 in x
3.938 * [backup-simplify]: Simplify -1/2 into -1/2
3.938 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.938 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.938 * [taylor]: Taking taylor expansion of eps in x
3.938 * [backup-simplify]: Simplify eps into eps
3.938 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.938 * [taylor]: Taking taylor expansion of 2 in x
3.938 * [backup-simplify]: Simplify 2 into 2
3.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.938 * [taylor]: Taking taylor expansion of x in x
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 1 into 1
3.938 * [backup-simplify]: Simplify (/ 1 1) into 1
3.938 * [backup-simplify]: Simplify (* 2 1) into 2
3.939 * [backup-simplify]: Simplify (+ 0 2) into 2
3.939 * [backup-simplify]: Simplify (* -1/2 2) into -1
3.939 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.939 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.939 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.939 * [taylor]: Taking taylor expansion of -1/2 in x
3.939 * [backup-simplify]: Simplify -1/2 into -1/2
3.939 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.939 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.939 * [taylor]: Taking taylor expansion of eps in x
3.939 * [backup-simplify]: Simplify eps into eps
3.939 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.939 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.939 * [taylor]: Taking taylor expansion of 2 in x
3.939 * [backup-simplify]: Simplify 2 into 2
3.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.939 * [taylor]: Taking taylor expansion of x in x
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 1 into 1
3.939 * [backup-simplify]: Simplify (/ 1 1) into 1
3.940 * [backup-simplify]: Simplify (* 2 1) into 2
3.940 * [backup-simplify]: Simplify (+ 0 2) into 2
3.940 * [backup-simplify]: Simplify (* -1/2 2) into -1
3.940 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.941 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.941 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.941 * [taylor]: Taking taylor expansion of -1/2 in eps
3.941 * [backup-simplify]: Simplify -1/2 into -1/2
3.941 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.941 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.941 * [taylor]: Taking taylor expansion of eps in eps
3.941 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify 1 into 1
3.941 * [backup-simplify]: Simplify (/ 1 1) into 1
3.941 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.941 * [taylor]: Taking taylor expansion of 2 in eps
3.941 * [backup-simplify]: Simplify 2 into 2
3.941 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.941 * [taylor]: Taking taylor expansion of x in eps
3.941 * [backup-simplify]: Simplify x into x
3.941 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.941 * [backup-simplify]: Simplify (+ 1 0) into 1
3.942 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
3.942 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.942 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.942 * [taylor]: Taking taylor expansion of 0 in eps
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [taylor]: Taking taylor expansion of 0 in eps
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [taylor]: Taking taylor expansion of 0 in eps
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
3.942 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2)
3.942 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
3.942 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
3.942 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
3.943 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
3.943 * [taylor]: Taking taylor expansion of 1/2 in eps
3.943 * [backup-simplify]: Simplify 1/2 into 1/2
3.943 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
3.943 * [taylor]: Taking taylor expansion of (* 2 x) in eps
3.943 * [taylor]: Taking taylor expansion of 2 in eps
3.943 * [backup-simplify]: Simplify 2 into 2
3.943 * [taylor]: Taking taylor expansion of x in eps
3.943 * [backup-simplify]: Simplify x into x
3.943 * [taylor]: Taking taylor expansion of eps in eps
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
3.943 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
3.943 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
3.943 * [backup-simplify]: Simplify (cos x) into (cos x)
3.943 * [backup-simplify]: Simplify (sin x) into (sin x)
3.943 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
3.943 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
3.943 * [taylor]: Taking taylor expansion of 1/2 in x
3.943 * [backup-simplify]: Simplify 1/2 into 1/2
3.943 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
3.943 * [taylor]: Taking taylor expansion of (* 2 x) in x
3.943 * [taylor]: Taking taylor expansion of 2 in x
3.943 * [backup-simplify]: Simplify 2 into 2
3.943 * [taylor]: Taking taylor expansion of x in x
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [taylor]: Taking taylor expansion of eps in x
3.943 * [backup-simplify]: Simplify eps into eps
3.943 * [backup-simplify]: Simplify (* 2 0) into 0
3.943 * [backup-simplify]: Simplify (+ 0 eps) into eps
3.943 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
3.943 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
3.944 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
3.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
3.944 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
3.944 * [taylor]: Taking taylor expansion of 1/2 in x
3.944 * [backup-simplify]: Simplify 1/2 into 1/2
3.944 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
3.944 * [taylor]: Taking taylor expansion of (* 2 x) in x
3.944 * [taylor]: Taking taylor expansion of 2 in x
3.944 * [backup-simplify]: Simplify 2 into 2
3.944 * [taylor]: Taking taylor expansion of x in x
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 1 into 1
3.944 * [taylor]: Taking taylor expansion of eps in x
3.944 * [backup-simplify]: Simplify eps into eps
3.944 * [backup-simplify]: Simplify (* 2 0) into 0
3.944 * [backup-simplify]: Simplify (+ 0 eps) into eps
3.944 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
3.944 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
3.944 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
3.944 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
3.944 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
3.945 * [backup-simplify]: Simplify (- 0) into 0
3.945 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
3.945 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
3.945 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
3.945 * [taylor]: Taking taylor expansion of 1/2 in eps
3.945 * [backup-simplify]: Simplify 1/2 into 1/2
3.945 * [taylor]: Taking taylor expansion of eps in eps
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.945 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.945 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.946 * [backup-simplify]: Simplify 1 into 1
3.946 * [backup-simplify]: Simplify (+ 0) into 0
3.946 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
3.947 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
3.947 * [backup-simplify]: Simplify (+ 2 0) into 2
3.947 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
3.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.948 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
3.948 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
3.948 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
3.948 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
3.948 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
3.948 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
3.948 * [taylor]: Taking taylor expansion of 1/2 in eps
3.948 * [backup-simplify]: Simplify 1/2 into 1/2
3.948 * [taylor]: Taking taylor expansion of eps in eps
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.949 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.949 * [backup-simplify]: Simplify (- 0) into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify (+ 0) into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.950 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
3.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
3.951 * [backup-simplify]: Simplify (+ 0 0) into 0
3.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
3.952 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.953 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
3.953 * [backup-simplify]: Simplify (- 0) into 0
3.953 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
3.953 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
3.953 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
3.953 * [taylor]: Taking taylor expansion of 1/2 in eps
3.953 * [backup-simplify]: Simplify 1/2 into 1/2
3.953 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
3.953 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
3.953 * [taylor]: Taking taylor expansion of 1/2 in eps
3.953 * [backup-simplify]: Simplify 1/2 into 1/2
3.953 * [taylor]: Taking taylor expansion of eps in eps
3.953 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify 1 into 1
3.953 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.954 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.954 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.954 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.954 * [backup-simplify]: Simplify -1/2 into -1/2
3.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
3.955 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.955 * [backup-simplify]: Simplify -1/2 into -1/2
3.955 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
3.956 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.956 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
3.956 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.956 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.956 * [taylor]: Taking taylor expansion of 1/2 in eps
3.956 * [backup-simplify]: Simplify 1/2 into 1/2
3.956 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.956 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.956 * [taylor]: Taking taylor expansion of eps in eps
3.956 * [backup-simplify]: Simplify 0 into 0
3.956 * [backup-simplify]: Simplify 1 into 1
3.956 * [backup-simplify]: Simplify (/ 1 1) into 1
3.956 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.956 * [taylor]: Taking taylor expansion of 2 in eps
3.956 * [backup-simplify]: Simplify 2 into 2
3.956 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.956 * [taylor]: Taking taylor expansion of x in eps
3.956 * [backup-simplify]: Simplify x into x
3.956 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.957 * [backup-simplify]: Simplify (+ 1 0) into 1
3.957 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.957 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.957 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.957 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.957 * [taylor]: Taking taylor expansion of 1/2 in x
3.957 * [backup-simplify]: Simplify 1/2 into 1/2
3.957 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.957 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.957 * [taylor]: Taking taylor expansion of eps in x
3.957 * [backup-simplify]: Simplify eps into eps
3.957 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.957 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.957 * [taylor]: Taking taylor expansion of 2 in x
3.957 * [backup-simplify]: Simplify 2 into 2
3.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.957 * [taylor]: Taking taylor expansion of x in x
3.957 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify 1 into 1
3.957 * [backup-simplify]: Simplify (/ 1 1) into 1
3.958 * [backup-simplify]: Simplify (* 2 1) into 2
3.958 * [backup-simplify]: Simplify (+ 0 2) into 2
3.958 * [backup-simplify]: Simplify (* 1/2 2) into 1
3.958 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.958 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.958 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.958 * [taylor]: Taking taylor expansion of 1/2 in x
3.958 * [backup-simplify]: Simplify 1/2 into 1/2
3.958 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.958 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.958 * [taylor]: Taking taylor expansion of eps in x
3.959 * [backup-simplify]: Simplify eps into eps
3.959 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.959 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.959 * [taylor]: Taking taylor expansion of 2 in x
3.959 * [backup-simplify]: Simplify 2 into 2
3.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.959 * [taylor]: Taking taylor expansion of x in x
3.959 * [backup-simplify]: Simplify 0 into 0
3.959 * [backup-simplify]: Simplify 1 into 1
3.959 * [backup-simplify]: Simplify (/ 1 1) into 1
3.959 * [backup-simplify]: Simplify (* 2 1) into 2
3.959 * [backup-simplify]: Simplify (+ 0 2) into 2
3.960 * [backup-simplify]: Simplify (* 1/2 2) into 1
3.960 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.960 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.960 * [taylor]: Taking taylor expansion of 1/2 in eps
3.960 * [backup-simplify]: Simplify 1/2 into 1/2
3.960 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.960 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.960 * [taylor]: Taking taylor expansion of eps in eps
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 1 into 1
3.960 * [backup-simplify]: Simplify (/ 1 1) into 1
3.960 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.960 * [taylor]: Taking taylor expansion of 2 in eps
3.960 * [backup-simplify]: Simplify 2 into 2
3.960 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.960 * [taylor]: Taking taylor expansion of x in eps
3.960 * [backup-simplify]: Simplify x into x
3.960 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.961 * [backup-simplify]: Simplify (+ 1 0) into 1
3.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.961 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.961 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.961 * [taylor]: Taking taylor expansion of 0 in eps
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [taylor]: Taking taylor expansion of 0 in eps
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [taylor]: Taking taylor expansion of 0 in eps
3.962 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
3.962 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.962 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
3.962 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.962 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.962 * [taylor]: Taking taylor expansion of -1/2 in eps
3.962 * [backup-simplify]: Simplify -1/2 into -1/2
3.962 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.962 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.962 * [taylor]: Taking taylor expansion of eps in eps
3.962 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify 1 into 1
3.962 * [backup-simplify]: Simplify (/ 1 1) into 1
3.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.962 * [taylor]: Taking taylor expansion of 2 in eps
3.962 * [backup-simplify]: Simplify 2 into 2
3.962 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.962 * [taylor]: Taking taylor expansion of x in eps
3.962 * [backup-simplify]: Simplify x into x
3.962 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.963 * [backup-simplify]: Simplify (+ 1 0) into 1
3.963 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
3.963 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.963 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.963 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.963 * [taylor]: Taking taylor expansion of -1/2 in x
3.963 * [backup-simplify]: Simplify -1/2 into -1/2
3.963 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.963 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.963 * [taylor]: Taking taylor expansion of eps in x
3.963 * [backup-simplify]: Simplify eps into eps
3.963 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.963 * [taylor]: Taking taylor expansion of 2 in x
3.963 * [backup-simplify]: Simplify 2 into 2
3.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.963 * [taylor]: Taking taylor expansion of x in x
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 1 into 1
3.964 * [backup-simplify]: Simplify (/ 1 1) into 1
3.964 * [backup-simplify]: Simplify (* 2 1) into 2
3.964 * [backup-simplify]: Simplify (+ 0 2) into 2
3.964 * [backup-simplify]: Simplify (* -1/2 2) into -1
3.965 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.965 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.965 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.965 * [taylor]: Taking taylor expansion of -1/2 in x
3.965 * [backup-simplify]: Simplify -1/2 into -1/2
3.965 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.965 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.965 * [taylor]: Taking taylor expansion of eps in x
3.965 * [backup-simplify]: Simplify eps into eps
3.965 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.965 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.965 * [taylor]: Taking taylor expansion of 2 in x
3.965 * [backup-simplify]: Simplify 2 into 2
3.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.965 * [taylor]: Taking taylor expansion of x in x
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 1 into 1
3.965 * [backup-simplify]: Simplify (/ 1 1) into 1
3.965 * [backup-simplify]: Simplify (* 2 1) into 2
3.966 * [backup-simplify]: Simplify (+ 0 2) into 2
3.966 * [backup-simplify]: Simplify (* -1/2 2) into -1
3.966 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.966 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.966 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.966 * [taylor]: Taking taylor expansion of -1/2 in eps
3.966 * [backup-simplify]: Simplify -1/2 into -1/2
3.966 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.966 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.966 * [taylor]: Taking taylor expansion of eps in eps
3.966 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify 1 into 1
3.966 * [backup-simplify]: Simplify (/ 1 1) into 1
3.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.967 * [taylor]: Taking taylor expansion of 2 in eps
3.967 * [backup-simplify]: Simplify 2 into 2
3.967 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.967 * [taylor]: Taking taylor expansion of x in eps
3.967 * [backup-simplify]: Simplify x into x
3.967 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.967 * [backup-simplify]: Simplify (+ 1 0) into 1
3.967 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
3.968 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.968 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.968 * [taylor]: Taking taylor expansion of 0 in eps
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [taylor]: Taking taylor expansion of 0 in eps
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [taylor]: Taking taylor expansion of 0 in eps
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
3.968 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1)
3.968 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
3.968 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
3.968 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
3.968 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
3.968 * [taylor]: Taking taylor expansion of 1/2 in eps
3.968 * [backup-simplify]: Simplify 1/2 into 1/2
3.968 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
3.968 * [taylor]: Taking taylor expansion of (* 2 x) in eps
3.968 * [taylor]: Taking taylor expansion of 2 in eps
3.968 * [backup-simplify]: Simplify 2 into 2
3.968 * [taylor]: Taking taylor expansion of x in eps
3.968 * [backup-simplify]: Simplify x into x
3.968 * [taylor]: Taking taylor expansion of eps in eps
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 1 into 1
3.968 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
3.969 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
3.969 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
3.969 * [backup-simplify]: Simplify (cos x) into (cos x)
3.969 * [backup-simplify]: Simplify (sin x) into (sin x)
3.969 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
3.969 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
3.969 * [taylor]: Taking taylor expansion of 1/2 in x
3.969 * [backup-simplify]: Simplify 1/2 into 1/2
3.969 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
3.969 * [taylor]: Taking taylor expansion of (* 2 x) in x
3.969 * [taylor]: Taking taylor expansion of 2 in x
3.969 * [backup-simplify]: Simplify 2 into 2
3.969 * [taylor]: Taking taylor expansion of x in x
3.969 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify 1 into 1
3.969 * [taylor]: Taking taylor expansion of eps in x
3.969 * [backup-simplify]: Simplify eps into eps
3.969 * [backup-simplify]: Simplify (* 2 0) into 0
3.969 * [backup-simplify]: Simplify (+ 0 eps) into eps
3.969 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
3.969 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
3.969 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
3.969 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
3.969 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
3.969 * [taylor]: Taking taylor expansion of 1/2 in x
3.969 * [backup-simplify]: Simplify 1/2 into 1/2
3.969 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
3.969 * [taylor]: Taking taylor expansion of (* 2 x) in x
3.969 * [taylor]: Taking taylor expansion of 2 in x
3.969 * [backup-simplify]: Simplify 2 into 2
3.969 * [taylor]: Taking taylor expansion of x in x
3.969 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 1 into 1
3.970 * [taylor]: Taking taylor expansion of eps in x
3.970 * [backup-simplify]: Simplify eps into eps
3.970 * [backup-simplify]: Simplify (* 2 0) into 0
3.970 * [backup-simplify]: Simplify (+ 0 eps) into eps
3.970 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
3.970 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
3.970 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
3.970 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
3.970 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
3.970 * [backup-simplify]: Simplify (- 0) into 0
3.970 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
3.971 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
3.971 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
3.971 * [taylor]: Taking taylor expansion of 1/2 in eps
3.971 * [backup-simplify]: Simplify 1/2 into 1/2
3.971 * [taylor]: Taking taylor expansion of eps in eps
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 1 into 1
3.971 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.971 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.971 * [backup-simplify]: Simplify 1 into 1
3.972 * [backup-simplify]: Simplify (+ 0) into 0
3.972 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
3.972 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
3.973 * [backup-simplify]: Simplify (+ 2 0) into 2
3.973 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
3.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.974 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
3.974 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
3.974 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
3.974 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
3.974 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
3.974 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
3.974 * [taylor]: Taking taylor expansion of 1/2 in eps
3.974 * [backup-simplify]: Simplify 1/2 into 1/2
3.974 * [taylor]: Taking taylor expansion of eps in eps
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [backup-simplify]: Simplify 1 into 1
3.974 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.975 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.975 * [backup-simplify]: Simplify (- 0) into 0
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify (+ 0) into 0
3.975 * [backup-simplify]: Simplify 0 into 0
3.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.976 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
3.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
3.977 * [backup-simplify]: Simplify (+ 0 0) into 0
3.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
3.978 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.979 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
3.979 * [backup-simplify]: Simplify (- 0) into 0
3.979 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
3.979 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
3.979 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
3.979 * [taylor]: Taking taylor expansion of 1/2 in eps
3.979 * [backup-simplify]: Simplify 1/2 into 1/2
3.979 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
3.979 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
3.979 * [taylor]: Taking taylor expansion of 1/2 in eps
3.979 * [backup-simplify]: Simplify 1/2 into 1/2
3.979 * [taylor]: Taking taylor expansion of eps in eps
3.979 * [backup-simplify]: Simplify 0 into 0
3.979 * [backup-simplify]: Simplify 1 into 1
3.980 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.980 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.980 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.981 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.981 * [backup-simplify]: Simplify -1/2 into -1/2
3.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
3.981 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.981 * [backup-simplify]: Simplify -1/2 into -1/2
3.982 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
3.982 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.982 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
3.982 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.982 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.982 * [taylor]: Taking taylor expansion of 1/2 in eps
3.982 * [backup-simplify]: Simplify 1/2 into 1/2
3.982 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.982 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.982 * [taylor]: Taking taylor expansion of eps in eps
3.982 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify 1 into 1
3.982 * [backup-simplify]: Simplify (/ 1 1) into 1
3.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.982 * [taylor]: Taking taylor expansion of 2 in eps
3.982 * [backup-simplify]: Simplify 2 into 2
3.982 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.982 * [taylor]: Taking taylor expansion of x in eps
3.982 * [backup-simplify]: Simplify x into x
3.982 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.983 * [backup-simplify]: Simplify (+ 1 0) into 1
3.983 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.983 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.983 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.983 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.983 * [taylor]: Taking taylor expansion of 1/2 in x
3.983 * [backup-simplify]: Simplify 1/2 into 1/2
3.983 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.983 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.983 * [taylor]: Taking taylor expansion of eps in x
3.983 * [backup-simplify]: Simplify eps into eps
3.983 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.983 * [taylor]: Taking taylor expansion of 2 in x
3.983 * [backup-simplify]: Simplify 2 into 2
3.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.983 * [taylor]: Taking taylor expansion of x in x
3.983 * [backup-simplify]: Simplify 0 into 0
3.983 * [backup-simplify]: Simplify 1 into 1
3.984 * [backup-simplify]: Simplify (/ 1 1) into 1
3.984 * [backup-simplify]: Simplify (* 2 1) into 2
3.984 * [backup-simplify]: Simplify (+ 0 2) into 2
3.984 * [backup-simplify]: Simplify (* 1/2 2) into 1
3.984 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.984 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.985 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.985 * [taylor]: Taking taylor expansion of 1/2 in x
3.985 * [backup-simplify]: Simplify 1/2 into 1/2
3.985 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.985 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.985 * [taylor]: Taking taylor expansion of eps in x
3.985 * [backup-simplify]: Simplify eps into eps
3.985 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.985 * [taylor]: Taking taylor expansion of 2 in x
3.985 * [backup-simplify]: Simplify 2 into 2
3.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.985 * [taylor]: Taking taylor expansion of x in x
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.985 * [backup-simplify]: Simplify (/ 1 1) into 1
3.985 * [backup-simplify]: Simplify (* 2 1) into 2
3.986 * [backup-simplify]: Simplify (+ 0 2) into 2
3.986 * [backup-simplify]: Simplify (* 1/2 2) into 1
3.986 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.986 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.986 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.986 * [taylor]: Taking taylor expansion of 1/2 in eps
3.986 * [backup-simplify]: Simplify 1/2 into 1/2
3.986 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.986 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.986 * [taylor]: Taking taylor expansion of eps in eps
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.987 * [backup-simplify]: Simplify (/ 1 1) into 1
3.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.987 * [taylor]: Taking taylor expansion of 2 in eps
3.987 * [backup-simplify]: Simplify 2 into 2
3.987 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.987 * [taylor]: Taking taylor expansion of x in eps
3.987 * [backup-simplify]: Simplify x into x
3.987 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.987 * [backup-simplify]: Simplify (+ 1 0) into 1
3.988 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.988 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.988 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.988 * [taylor]: Taking taylor expansion of 0 in eps
3.988 * [backup-simplify]: Simplify 0 into 0
3.988 * [backup-simplify]: Simplify 0 into 0
3.988 * [backup-simplify]: Simplify 0 into 0
3.989 * [taylor]: Taking taylor expansion of 0 in eps
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [taylor]: Taking taylor expansion of 0 in eps
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
3.989 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.989 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
3.989 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.989 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.989 * [taylor]: Taking taylor expansion of -1/2 in eps
3.990 * [backup-simplify]: Simplify -1/2 into -1/2
3.990 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.990 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.990 * [taylor]: Taking taylor expansion of eps in eps
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (/ 1 1) into 1
3.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.990 * [taylor]: Taking taylor expansion of 2 in eps
3.990 * [backup-simplify]: Simplify 2 into 2
3.990 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.990 * [taylor]: Taking taylor expansion of x in eps
3.990 * [backup-simplify]: Simplify x into x
3.990 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.991 * [backup-simplify]: Simplify (+ 1 0) into 1
3.991 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
3.991 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.991 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.991 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.992 * [taylor]: Taking taylor expansion of -1/2 in x
3.992 * [backup-simplify]: Simplify -1/2 into -1/2
3.992 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.992 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.992 * [taylor]: Taking taylor expansion of eps in x
3.992 * [backup-simplify]: Simplify eps into eps
3.992 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.992 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.992 * [taylor]: Taking taylor expansion of 2 in x
3.992 * [backup-simplify]: Simplify 2 into 2
3.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.992 * [taylor]: Taking taylor expansion of x in x
3.992 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify 1 into 1
3.992 * [backup-simplify]: Simplify (/ 1 1) into 1
3.993 * [backup-simplify]: Simplify (* 2 1) into 2
3.993 * [backup-simplify]: Simplify (+ 0 2) into 2
3.994 * [backup-simplify]: Simplify (* -1/2 2) into -1
3.994 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.994 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
3.994 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
3.994 * [taylor]: Taking taylor expansion of -1/2 in x
3.994 * [backup-simplify]: Simplify -1/2 into -1/2
3.994 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
3.994 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
3.994 * [taylor]: Taking taylor expansion of eps in x
3.994 * [backup-simplify]: Simplify eps into eps
3.994 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
3.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
3.994 * [taylor]: Taking taylor expansion of 2 in x
3.994 * [backup-simplify]: Simplify 2 into 2
3.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.994 * [taylor]: Taking taylor expansion of x in x
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify 1 into 1
3.995 * [backup-simplify]: Simplify (/ 1 1) into 1
3.995 * [backup-simplify]: Simplify (* 2 1) into 2
3.996 * [backup-simplify]: Simplify (+ 0 2) into 2
3.996 * [backup-simplify]: Simplify (* -1/2 2) into -1
3.996 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.996 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
3.996 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
3.996 * [taylor]: Taking taylor expansion of -1/2 in eps
3.996 * [backup-simplify]: Simplify -1/2 into -1/2
3.997 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
3.997 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
3.997 * [taylor]: Taking taylor expansion of eps in eps
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.997 * [backup-simplify]: Simplify (/ 1 1) into 1
3.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
3.997 * [taylor]: Taking taylor expansion of 2 in eps
3.997 * [backup-simplify]: Simplify 2 into 2
3.997 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
3.997 * [taylor]: Taking taylor expansion of x in eps
3.997 * [backup-simplify]: Simplify x into x
3.997 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.998 * [backup-simplify]: Simplify (+ 1 0) into 1
3.998 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
3.998 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.999 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
3.999 * [taylor]: Taking taylor expansion of 0 in eps
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [taylor]: Taking taylor expansion of 0 in eps
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [taylor]: Taking taylor expansion of 0 in eps
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
4.000 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
4.000 * [backup-simplify]: Simplify (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))) into (cos (* 1/2 (+ (* 2 x) eps)))
4.000 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
4.000 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
4.000 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
4.000 * [taylor]: Taking taylor expansion of 1/2 in eps
4.000 * [backup-simplify]: Simplify 1/2 into 1/2
4.000 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
4.000 * [taylor]: Taking taylor expansion of (* 2 x) in eps
4.000 * [taylor]: Taking taylor expansion of 2 in eps
4.000 * [backup-simplify]: Simplify 2 into 2
4.000 * [taylor]: Taking taylor expansion of x in eps
4.000 * [backup-simplify]: Simplify x into x
4.001 * [taylor]: Taking taylor expansion of eps in eps
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 1 into 1
4.001 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
4.001 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
4.001 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
4.001 * [backup-simplify]: Simplify (cos x) into (cos x)
4.001 * [backup-simplify]: Simplify (sin x) into (sin x)
4.001 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
4.001 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
4.001 * [taylor]: Taking taylor expansion of 1/2 in x
4.001 * [backup-simplify]: Simplify 1/2 into 1/2
4.001 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
4.001 * [taylor]: Taking taylor expansion of (* 2 x) in x
4.001 * [taylor]: Taking taylor expansion of 2 in x
4.001 * [backup-simplify]: Simplify 2 into 2
4.001 * [taylor]: Taking taylor expansion of x in x
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 1 into 1
4.001 * [taylor]: Taking taylor expansion of eps in x
4.001 * [backup-simplify]: Simplify eps into eps
4.002 * [backup-simplify]: Simplify (* 2 0) into 0
4.002 * [backup-simplify]: Simplify (+ 0 eps) into eps
4.002 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
4.002 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
4.002 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
4.002 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
4.002 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
4.002 * [taylor]: Taking taylor expansion of 1/2 in x
4.002 * [backup-simplify]: Simplify 1/2 into 1/2
4.002 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
4.002 * [taylor]: Taking taylor expansion of (* 2 x) in x
4.002 * [taylor]: Taking taylor expansion of 2 in x
4.003 * [backup-simplify]: Simplify 2 into 2
4.003 * [taylor]: Taking taylor expansion of x in x
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 1 into 1
4.003 * [taylor]: Taking taylor expansion of eps in x
4.003 * [backup-simplify]: Simplify eps into eps
4.003 * [backup-simplify]: Simplify (* 2 0) into 0
4.003 * [backup-simplify]: Simplify (+ 0 eps) into eps
4.003 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
4.003 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
4.003 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
4.004 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
4.004 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
4.004 * [backup-simplify]: Simplify (- 0) into 0
4.004 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
4.004 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
4.004 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.004 * [taylor]: Taking taylor expansion of 1/2 in eps
4.004 * [backup-simplify]: Simplify 1/2 into 1/2
4.004 * [taylor]: Taking taylor expansion of eps in eps
4.004 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify 1 into 1
4.005 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.006 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [backup-simplify]: Simplify (+ 0) into 0
4.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
4.007 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
4.007 * [backup-simplify]: Simplify (+ 2 0) into 2
4.008 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
4.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.008 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
4.008 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
4.008 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
4.008 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
4.009 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
4.009 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.009 * [taylor]: Taking taylor expansion of 1/2 in eps
4.009 * [backup-simplify]: Simplify 1/2 into 1/2
4.009 * [taylor]: Taking taylor expansion of eps in eps
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 1 into 1
4.009 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.009 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.010 * [backup-simplify]: Simplify (- 0) into 0
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify (+ 0) into 0
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.011 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
4.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
4.012 * [backup-simplify]: Simplify (+ 0 0) into 0
4.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
4.013 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.013 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
4.014 * [backup-simplify]: Simplify (- 0) into 0
4.014 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
4.014 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
4.014 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
4.014 * [taylor]: Taking taylor expansion of 1/2 in eps
4.014 * [backup-simplify]: Simplify 1/2 into 1/2
4.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
4.014 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.014 * [taylor]: Taking taylor expansion of 1/2 in eps
4.014 * [backup-simplify]: Simplify 1/2 into 1/2
4.014 * [taylor]: Taking taylor expansion of eps in eps
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify 1 into 1
4.014 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.015 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.015 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.015 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.015 * [backup-simplify]: Simplify -1/2 into -1/2
4.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.016 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.016 * [backup-simplify]: Simplify -1/2 into -1/2
4.016 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
4.017 * [backup-simplify]: Simplify (cbrt (* (* (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2))) (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.017 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
4.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.017 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.017 * [taylor]: Taking taylor expansion of 1/2 in eps
4.017 * [backup-simplify]: Simplify 1/2 into 1/2
4.017 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.017 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.017 * [taylor]: Taking taylor expansion of eps in eps
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify 1 into 1
4.017 * [backup-simplify]: Simplify (/ 1 1) into 1
4.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.017 * [taylor]: Taking taylor expansion of 2 in eps
4.017 * [backup-simplify]: Simplify 2 into 2
4.017 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.017 * [taylor]: Taking taylor expansion of x in eps
4.017 * [backup-simplify]: Simplify x into x
4.017 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.018 * [backup-simplify]: Simplify (+ 1 0) into 1
4.018 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.018 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.018 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.018 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.018 * [taylor]: Taking taylor expansion of 1/2 in x
4.018 * [backup-simplify]: Simplify 1/2 into 1/2
4.018 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.018 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.018 * [taylor]: Taking taylor expansion of eps in x
4.018 * [backup-simplify]: Simplify eps into eps
4.018 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.018 * [taylor]: Taking taylor expansion of 2 in x
4.018 * [backup-simplify]: Simplify 2 into 2
4.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.018 * [taylor]: Taking taylor expansion of x in x
4.018 * [backup-simplify]: Simplify 0 into 0
4.018 * [backup-simplify]: Simplify 1 into 1
4.018 * [backup-simplify]: Simplify (/ 1 1) into 1
4.019 * [backup-simplify]: Simplify (* 2 1) into 2
4.019 * [backup-simplify]: Simplify (+ 0 2) into 2
4.019 * [backup-simplify]: Simplify (* 1/2 2) into 1
4.019 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.019 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.019 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.019 * [taylor]: Taking taylor expansion of 1/2 in x
4.020 * [backup-simplify]: Simplify 1/2 into 1/2
4.020 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.020 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.020 * [taylor]: Taking taylor expansion of eps in x
4.020 * [backup-simplify]: Simplify eps into eps
4.020 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.020 * [taylor]: Taking taylor expansion of 2 in x
4.020 * [backup-simplify]: Simplify 2 into 2
4.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.020 * [taylor]: Taking taylor expansion of x in x
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (/ 1 1) into 1
4.020 * [backup-simplify]: Simplify (* 2 1) into 2
4.020 * [backup-simplify]: Simplify (+ 0 2) into 2
4.021 * [backup-simplify]: Simplify (* 1/2 2) into 1
4.021 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.021 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.021 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.021 * [taylor]: Taking taylor expansion of 1/2 in eps
4.021 * [backup-simplify]: Simplify 1/2 into 1/2
4.021 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.021 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.021 * [taylor]: Taking taylor expansion of eps in eps
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [backup-simplify]: Simplify (/ 1 1) into 1
4.021 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.021 * [taylor]: Taking taylor expansion of 2 in eps
4.021 * [backup-simplify]: Simplify 2 into 2
4.021 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.021 * [taylor]: Taking taylor expansion of x in eps
4.021 * [backup-simplify]: Simplify x into x
4.022 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.022 * [backup-simplify]: Simplify (+ 1 0) into 1
4.022 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.022 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.022 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.022 * [taylor]: Taking taylor expansion of 0 in eps
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [taylor]: Taking taylor expansion of 0 in eps
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [taylor]: Taking taylor expansion of 0 in eps
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
4.023 * [backup-simplify]: Simplify (cbrt (* (* (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2))) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.023 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
4.023 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.023 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.023 * [taylor]: Taking taylor expansion of -1/2 in eps
4.023 * [backup-simplify]: Simplify -1/2 into -1/2
4.023 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.023 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.023 * [taylor]: Taking taylor expansion of eps in eps
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 1 into 1
4.024 * [backup-simplify]: Simplify (/ 1 1) into 1
4.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.024 * [taylor]: Taking taylor expansion of 2 in eps
4.024 * [backup-simplify]: Simplify 2 into 2
4.024 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.024 * [taylor]: Taking taylor expansion of x in eps
4.024 * [backup-simplify]: Simplify x into x
4.024 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.024 * [backup-simplify]: Simplify (+ 1 0) into 1
4.024 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
4.024 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.025 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.025 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.025 * [taylor]: Taking taylor expansion of -1/2 in x
4.025 * [backup-simplify]: Simplify -1/2 into -1/2
4.025 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.025 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.025 * [taylor]: Taking taylor expansion of eps in x
4.025 * [backup-simplify]: Simplify eps into eps
4.025 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.025 * [taylor]: Taking taylor expansion of 2 in x
4.025 * [backup-simplify]: Simplify 2 into 2
4.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.025 * [taylor]: Taking taylor expansion of x in x
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify 1 into 1
4.025 * [backup-simplify]: Simplify (/ 1 1) into 1
4.025 * [backup-simplify]: Simplify (* 2 1) into 2
4.026 * [backup-simplify]: Simplify (+ 0 2) into 2
4.026 * [backup-simplify]: Simplify (* -1/2 2) into -1
4.026 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.026 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.026 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.026 * [taylor]: Taking taylor expansion of -1/2 in x
4.026 * [backup-simplify]: Simplify -1/2 into -1/2
4.026 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.026 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.026 * [taylor]: Taking taylor expansion of eps in x
4.026 * [backup-simplify]: Simplify eps into eps
4.026 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.026 * [taylor]: Taking taylor expansion of 2 in x
4.026 * [backup-simplify]: Simplify 2 into 2
4.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.026 * [taylor]: Taking taylor expansion of x in x
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 1 into 1
4.029 * [backup-simplify]: Simplify (/ 1 1) into 1
4.030 * [backup-simplify]: Simplify (* 2 1) into 2
4.030 * [backup-simplify]: Simplify (+ 0 2) into 2
4.030 * [backup-simplify]: Simplify (* -1/2 2) into -1
4.031 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.031 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.031 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.031 * [taylor]: Taking taylor expansion of -1/2 in eps
4.031 * [backup-simplify]: Simplify -1/2 into -1/2
4.031 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.031 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.031 * [taylor]: Taking taylor expansion of eps in eps
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 1 into 1
4.031 * [backup-simplify]: Simplify (/ 1 1) into 1
4.031 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.031 * [taylor]: Taking taylor expansion of 2 in eps
4.031 * [backup-simplify]: Simplify 2 into 2
4.031 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.031 * [taylor]: Taking taylor expansion of x in eps
4.031 * [backup-simplify]: Simplify x into x
4.031 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.032 * [backup-simplify]: Simplify (+ 1 0) into 1
4.032 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
4.032 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.033 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.033 * [taylor]: Taking taylor expansion of 0 in eps
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [taylor]: Taking taylor expansion of 0 in eps
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [taylor]: Taking taylor expansion of 0 in eps
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
4.033 * * * [progress]: simplifying candidates
4.034 * [simplify]: Simplifying:
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (log (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (exp (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (cbrt (* (+ (cos (+ (/ (+ x (+ x eps)) 2) (/ (+ x (+ x eps)) 2))) (cos (- (/ (+ x (+ x eps)) 2) (/ (+ x (+ x eps)) 2)))) (cos (/ (+ x (+ x eps)) 2))))
  (cbrt 2)
  (* (cbrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2))))) (cbrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2))))))
  (cbrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (* (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2))))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (sqrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (sqrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
4.036 * * [simplify]: iteration 0: 43 enodes
4.049 * * [simplify]: iteration 1: 81 enodes
4.081 * * [simplify]: iteration 2: 181 enodes
4.150 * * [simplify]: iteration 3: 656 enodes
4.576 * * [simplify]: iteration 4: 2950 enodes
5.378 * * [simplify]: iteration complete: 5001 enodes
5.378 * * [simplify]: Extracting #0: cost 11 inf + 0
5.378 * * [simplify]: Extracting #1: cost 45 inf + 0
5.380 * * [simplify]: Extracting #2: cost 964 inf + 86
5.386 * * [simplify]: Extracting #3: cost 1052 inf + 12776
5.401 * * [simplify]: Extracting #4: cost 443 inf + 68413
5.442 * * [simplify]: Extracting #5: cost 311 inf + 89598
5.466 * * [simplify]: Extracting #6: cost 149 inf + 117221
5.514 * * [simplify]: Extracting #7: cost 1 inf + 144417
5.565 * * [simplify]: Extracting #8: cost 0 inf + 144810
5.604 * [simplify]: Simplified to:
  (log (cos (/ (+ eps (+ x x)) 2)))
  (exp (cos (/ (+ eps (+ x x)) 2)))
  (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))
  (cbrt (cos (/ (+ eps (+ x x)) 2)))
  (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2)))
  (sqrt (cos (/ (+ eps (+ x x)) 2)))
  (sqrt (cos (/ (+ eps (+ x x)) 2)))
  (log (cos (/ (+ eps (+ x x)) 2)))
  (exp (cos (/ (+ eps (+ x x)) 2)))
  (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))
  (cbrt (cos (/ (+ eps (+ x x)) 2)))
  (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2)))
  (sqrt (cos (/ (+ eps (+ x x)) 2)))
  (sqrt (cos (/ (+ eps (+ x x)) 2)))
  (log (cos (/ (+ eps (+ x x)) 2)))
  (exp (cos (/ (+ eps (+ x x)) 2)))
  (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))
  (cbrt (cos (/ (+ eps (+ x x)) 2)))
  (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2)))
  (sqrt (cos (/ (+ eps (+ x x)) 2)))
  (sqrt (cos (/ (+ eps (+ x x)) 2)))
  (log (cos (/ (+ eps (+ x x)) 2)))
  (exp (cos (/ (+ eps (+ x x)) 2)))
  (cbrt (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))))
  (cbrt (cos (/ (+ eps (+ x x)) 2)))
  (cbrt (+ (* (cos (+ eps (+ x x))) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2))))
  (cbrt 2)
  (* (cbrt (cos (/ (+ eps (+ x x)) 2))) (cbrt (cos (/ (+ eps (+ x x)) 2))))
  (cbrt (cos (/ (+ eps (+ x x)) 2)))
  (* (* (cos (/ (+ eps (+ x x)) 2)) (cos (/ (+ eps (+ x x)) 2))) (cos (/ (+ eps (+ x x)) 2)))
  (sqrt (cos (/ (+ eps (+ x x)) 2)))
  (sqrt (cos (/ (+ eps (+ x x)) 2)))
  (- 1 (* (+ eps x) (* 1/2 x)))
  (cos (+ (* eps 1/2) x))
  (cos (+ (* eps 1/2) x))
  (- 1 (* (+ eps x) (* 1/2 x)))
  (cos (+ (* eps 1/2) x))
  (cos (+ (* eps 1/2) x))
  (- 1 (* (+ eps x) (* 1/2 x)))
  (cos (+ (* eps 1/2) x))
  (cos (+ (* eps 1/2) x))
  (- 1 (* (+ eps x) (* 1/2 x)))
  (cos (+ (* eps 1/2) x))
  (cos (+ (* eps 1/2) x))
5.610 * * * [progress]: adding candidates to table
5.910 * * [progress]: iteration 4 / 4
5.911 * * * [progress]: picking best candidate
5.961 * * * * [pick]: Picked  #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))) (sin (/ eps 2)))))>
5.961 * * * [progress]: localizing error
6.081 * * * [progress]: generating rewritten candidates
6.081 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1 2)
6.107 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1 1 2)
6.148 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1 1 1)
6.172 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2)
6.201 * * * [progress]: generating series expansions
6.201 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1 2)
6.202 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
6.202 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
6.202 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
6.202 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
6.202 * [taylor]: Taking taylor expansion of 1/2 in eps
6.202 * [backup-simplify]: Simplify 1/2 into 1/2
6.202 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
6.202 * [taylor]: Taking taylor expansion of (* 2 x) in eps
6.202 * [taylor]: Taking taylor expansion of 2 in eps
6.202 * [backup-simplify]: Simplify 2 into 2
6.202 * [taylor]: Taking taylor expansion of x in eps
6.202 * [backup-simplify]: Simplify x into x
6.202 * [taylor]: Taking taylor expansion of eps in eps
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify 1 into 1
6.202 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
6.202 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
6.202 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
6.202 * [backup-simplify]: Simplify (cos x) into (cos x)
6.202 * [backup-simplify]: Simplify (sin x) into (sin x)
6.202 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
6.202 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
6.202 * [taylor]: Taking taylor expansion of 1/2 in x
6.202 * [backup-simplify]: Simplify 1/2 into 1/2
6.202 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
6.202 * [taylor]: Taking taylor expansion of (* 2 x) in x
6.202 * [taylor]: Taking taylor expansion of 2 in x
6.202 * [backup-simplify]: Simplify 2 into 2
6.202 * [taylor]: Taking taylor expansion of x in x
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify 1 into 1
6.202 * [taylor]: Taking taylor expansion of eps in x
6.202 * [backup-simplify]: Simplify eps into eps
6.203 * [backup-simplify]: Simplify (* 2 0) into 0
6.203 * [backup-simplify]: Simplify (+ 0 eps) into eps
6.203 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
6.203 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
6.203 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
6.203 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
6.203 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
6.203 * [taylor]: Taking taylor expansion of 1/2 in x
6.203 * [backup-simplify]: Simplify 1/2 into 1/2
6.203 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
6.203 * [taylor]: Taking taylor expansion of (* 2 x) in x
6.203 * [taylor]: Taking taylor expansion of 2 in x
6.203 * [backup-simplify]: Simplify 2 into 2
6.203 * [taylor]: Taking taylor expansion of x in x
6.203 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify 1 into 1
6.203 * [taylor]: Taking taylor expansion of eps in x
6.203 * [backup-simplify]: Simplify eps into eps
6.204 * [backup-simplify]: Simplify (* 2 0) into 0
6.204 * [backup-simplify]: Simplify (+ 0 eps) into eps
6.204 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
6.204 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
6.204 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
6.204 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
6.204 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
6.204 * [backup-simplify]: Simplify (- 0) into 0
6.204 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
6.204 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
6.204 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.204 * [taylor]: Taking taylor expansion of 1/2 in eps
6.204 * [backup-simplify]: Simplify 1/2 into 1/2
6.204 * [taylor]: Taking taylor expansion of eps in eps
6.204 * [backup-simplify]: Simplify 0 into 0
6.204 * [backup-simplify]: Simplify 1 into 1
6.205 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.205 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.205 * [backup-simplify]: Simplify 1 into 1
6.205 * [backup-simplify]: Simplify (+ 0) into 0
6.206 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
6.206 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.206 * [backup-simplify]: Simplify (+ 2 0) into 2
6.207 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
6.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.207 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
6.207 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
6.207 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
6.207 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
6.207 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
6.207 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.208 * [taylor]: Taking taylor expansion of 1/2 in eps
6.208 * [backup-simplify]: Simplify 1/2 into 1/2
6.208 * [taylor]: Taking taylor expansion of eps in eps
6.208 * [backup-simplify]: Simplify 0 into 0
6.208 * [backup-simplify]: Simplify 1 into 1
6.208 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.208 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.208 * [backup-simplify]: Simplify (- 0) into 0
6.209 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify (+ 0) into 0
6.209 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
6.210 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
6.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.211 * [backup-simplify]: Simplify (+ 0 0) into 0
6.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
6.212 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.212 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
6.213 * [backup-simplify]: Simplify (- 0) into 0
6.213 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
6.213 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
6.213 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
6.213 * [taylor]: Taking taylor expansion of 1/2 in eps
6.213 * [backup-simplify]: Simplify 1/2 into 1/2
6.213 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
6.213 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.213 * [taylor]: Taking taylor expansion of 1/2 in eps
6.213 * [backup-simplify]: Simplify 1/2 into 1/2
6.213 * [taylor]: Taking taylor expansion of eps in eps
6.213 * [backup-simplify]: Simplify 0 into 0
6.213 * [backup-simplify]: Simplify 1 into 1
6.213 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.214 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.214 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.214 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.214 * [backup-simplify]: Simplify -1/2 into -1/2
6.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
6.215 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.215 * [backup-simplify]: Simplify -1/2 into -1/2
6.215 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
6.215 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.215 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
6.215 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.215 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.215 * [taylor]: Taking taylor expansion of 1/2 in eps
6.215 * [backup-simplify]: Simplify 1/2 into 1/2
6.215 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.215 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.215 * [taylor]: Taking taylor expansion of eps in eps
6.216 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify 1 into 1
6.216 * [backup-simplify]: Simplify (/ 1 1) into 1
6.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.216 * [taylor]: Taking taylor expansion of 2 in eps
6.216 * [backup-simplify]: Simplify 2 into 2
6.216 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.216 * [taylor]: Taking taylor expansion of x in eps
6.216 * [backup-simplify]: Simplify x into x
6.216 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.216 * [backup-simplify]: Simplify (+ 1 0) into 1
6.216 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.217 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.217 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.217 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.217 * [taylor]: Taking taylor expansion of 1/2 in x
6.217 * [backup-simplify]: Simplify 1/2 into 1/2
6.217 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.217 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.217 * [taylor]: Taking taylor expansion of eps in x
6.217 * [backup-simplify]: Simplify eps into eps
6.217 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.217 * [taylor]: Taking taylor expansion of 2 in x
6.217 * [backup-simplify]: Simplify 2 into 2
6.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.217 * [taylor]: Taking taylor expansion of x in x
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 1 into 1
6.217 * [backup-simplify]: Simplify (/ 1 1) into 1
6.217 * [backup-simplify]: Simplify (* 2 1) into 2
6.218 * [backup-simplify]: Simplify (+ 0 2) into 2
6.218 * [backup-simplify]: Simplify (* 1/2 2) into 1
6.218 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.218 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.218 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.218 * [taylor]: Taking taylor expansion of 1/2 in x
6.218 * [backup-simplify]: Simplify 1/2 into 1/2
6.218 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.218 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.218 * [taylor]: Taking taylor expansion of eps in x
6.218 * [backup-simplify]: Simplify eps into eps
6.219 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.219 * [taylor]: Taking taylor expansion of 2 in x
6.219 * [backup-simplify]: Simplify 2 into 2
6.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.219 * [taylor]: Taking taylor expansion of x in x
6.219 * [backup-simplify]: Simplify 0 into 0
6.219 * [backup-simplify]: Simplify 1 into 1
6.219 * [backup-simplify]: Simplify (/ 1 1) into 1
6.220 * [backup-simplify]: Simplify (* 2 1) into 2
6.220 * [backup-simplify]: Simplify (+ 0 2) into 2
6.220 * [backup-simplify]: Simplify (* 1/2 2) into 1
6.221 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.221 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.221 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.221 * [taylor]: Taking taylor expansion of 1/2 in eps
6.221 * [backup-simplify]: Simplify 1/2 into 1/2
6.221 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.221 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.221 * [taylor]: Taking taylor expansion of eps in eps
6.221 * [backup-simplify]: Simplify 0 into 0
6.221 * [backup-simplify]: Simplify 1 into 1
6.221 * [backup-simplify]: Simplify (/ 1 1) into 1
6.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.221 * [taylor]: Taking taylor expansion of 2 in eps
6.221 * [backup-simplify]: Simplify 2 into 2
6.221 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.222 * [taylor]: Taking taylor expansion of x in eps
6.222 * [backup-simplify]: Simplify x into x
6.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.222 * [backup-simplify]: Simplify (+ 1 0) into 1
6.222 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.223 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.223 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.223 * [taylor]: Taking taylor expansion of 0 in eps
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [taylor]: Taking taylor expansion of 0 in eps
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [taylor]: Taking taylor expansion of 0 in eps
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 0 into 0
6.224 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
6.224 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.224 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
6.224 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.224 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.224 * [taylor]: Taking taylor expansion of -1/2 in eps
6.224 * [backup-simplify]: Simplify -1/2 into -1/2
6.224 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.224 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.224 * [taylor]: Taking taylor expansion of eps in eps
6.224 * [backup-simplify]: Simplify 0 into 0
6.224 * [backup-simplify]: Simplify 1 into 1
6.225 * [backup-simplify]: Simplify (/ 1 1) into 1
6.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.225 * [taylor]: Taking taylor expansion of 2 in eps
6.225 * [backup-simplify]: Simplify 2 into 2
6.225 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.225 * [taylor]: Taking taylor expansion of x in eps
6.225 * [backup-simplify]: Simplify x into x
6.225 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.225 * [backup-simplify]: Simplify (+ 1 0) into 1
6.226 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
6.226 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.226 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.226 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.226 * [taylor]: Taking taylor expansion of -1/2 in x
6.226 * [backup-simplify]: Simplify -1/2 into -1/2
6.226 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.226 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.226 * [taylor]: Taking taylor expansion of eps in x
6.226 * [backup-simplify]: Simplify eps into eps
6.226 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.226 * [taylor]: Taking taylor expansion of 2 in x
6.226 * [backup-simplify]: Simplify 2 into 2
6.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.227 * [taylor]: Taking taylor expansion of x in x
6.227 * [backup-simplify]: Simplify 0 into 0
6.227 * [backup-simplify]: Simplify 1 into 1
6.227 * [backup-simplify]: Simplify (/ 1 1) into 1
6.227 * [backup-simplify]: Simplify (* 2 1) into 2
6.228 * [backup-simplify]: Simplify (+ 0 2) into 2
6.228 * [backup-simplify]: Simplify (* -1/2 2) into -1
6.228 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.229 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.229 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.229 * [taylor]: Taking taylor expansion of -1/2 in x
6.229 * [backup-simplify]: Simplify -1/2 into -1/2
6.229 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.229 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.229 * [taylor]: Taking taylor expansion of eps in x
6.229 * [backup-simplify]: Simplify eps into eps
6.229 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.229 * [taylor]: Taking taylor expansion of 2 in x
6.229 * [backup-simplify]: Simplify 2 into 2
6.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.229 * [taylor]: Taking taylor expansion of x in x
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify 1 into 1
6.229 * [backup-simplify]: Simplify (/ 1 1) into 1
6.230 * [backup-simplify]: Simplify (* 2 1) into 2
6.230 * [backup-simplify]: Simplify (+ 0 2) into 2
6.231 * [backup-simplify]: Simplify (* -1/2 2) into -1
6.231 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.231 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.231 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.231 * [taylor]: Taking taylor expansion of -1/2 in eps
6.231 * [backup-simplify]: Simplify -1/2 into -1/2
6.231 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.231 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.231 * [taylor]: Taking taylor expansion of eps in eps
6.231 * [backup-simplify]: Simplify 0 into 0
6.231 * [backup-simplify]: Simplify 1 into 1
6.232 * [backup-simplify]: Simplify (/ 1 1) into 1
6.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.232 * [taylor]: Taking taylor expansion of 2 in eps
6.232 * [backup-simplify]: Simplify 2 into 2
6.232 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.232 * [taylor]: Taking taylor expansion of x in eps
6.232 * [backup-simplify]: Simplify x into x
6.232 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.232 * [backup-simplify]: Simplify (+ 1 0) into 1
6.233 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
6.233 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.233 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.233 * [taylor]: Taking taylor expansion of 0 in eps
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [taylor]: Taking taylor expansion of 0 in eps
6.233 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [taylor]: Taking taylor expansion of 0 in eps
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
6.234 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1 1 2)
6.234 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
6.234 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
6.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
6.234 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
6.234 * [taylor]: Taking taylor expansion of 1/2 in eps
6.234 * [backup-simplify]: Simplify 1/2 into 1/2
6.234 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
6.235 * [taylor]: Taking taylor expansion of (* 2 x) in eps
6.235 * [taylor]: Taking taylor expansion of 2 in eps
6.235 * [backup-simplify]: Simplify 2 into 2
6.235 * [taylor]: Taking taylor expansion of x in eps
6.235 * [backup-simplify]: Simplify x into x
6.235 * [taylor]: Taking taylor expansion of eps in eps
6.235 * [backup-simplify]: Simplify 0 into 0
6.235 * [backup-simplify]: Simplify 1 into 1
6.235 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
6.235 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
6.235 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
6.235 * [backup-simplify]: Simplify (cos x) into (cos x)
6.235 * [backup-simplify]: Simplify (sin x) into (sin x)
6.235 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
6.235 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
6.235 * [taylor]: Taking taylor expansion of 1/2 in x
6.235 * [backup-simplify]: Simplify 1/2 into 1/2
6.235 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
6.235 * [taylor]: Taking taylor expansion of (* 2 x) in x
6.235 * [taylor]: Taking taylor expansion of 2 in x
6.235 * [backup-simplify]: Simplify 2 into 2
6.235 * [taylor]: Taking taylor expansion of x in x
6.235 * [backup-simplify]: Simplify 0 into 0
6.235 * [backup-simplify]: Simplify 1 into 1
6.236 * [taylor]: Taking taylor expansion of eps in x
6.236 * [backup-simplify]: Simplify eps into eps
6.236 * [backup-simplify]: Simplify (* 2 0) into 0
6.236 * [backup-simplify]: Simplify (+ 0 eps) into eps
6.236 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
6.237 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
6.237 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
6.237 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
6.237 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
6.237 * [taylor]: Taking taylor expansion of 1/2 in x
6.237 * [backup-simplify]: Simplify 1/2 into 1/2
6.237 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
6.237 * [taylor]: Taking taylor expansion of (* 2 x) in x
6.237 * [taylor]: Taking taylor expansion of 2 in x
6.237 * [backup-simplify]: Simplify 2 into 2
6.237 * [taylor]: Taking taylor expansion of x in x
6.237 * [backup-simplify]: Simplify 0 into 0
6.237 * [backup-simplify]: Simplify 1 into 1
6.237 * [taylor]: Taking taylor expansion of eps in x
6.237 * [backup-simplify]: Simplify eps into eps
6.238 * [backup-simplify]: Simplify (* 2 0) into 0
6.238 * [backup-simplify]: Simplify (+ 0 eps) into eps
6.238 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
6.238 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
6.238 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
6.238 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
6.238 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
6.239 * [backup-simplify]: Simplify (- 0) into 0
6.239 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
6.239 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
6.239 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.239 * [taylor]: Taking taylor expansion of 1/2 in eps
6.239 * [backup-simplify]: Simplify 1/2 into 1/2
6.239 * [taylor]: Taking taylor expansion of eps in eps
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 1 into 1
6.239 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.240 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.240 * [backup-simplify]: Simplify 1 into 1
6.241 * [backup-simplify]: Simplify (+ 0) into 0
6.241 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
6.242 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.242 * [backup-simplify]: Simplify (+ 2 0) into 2
6.242 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
6.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.243 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
6.243 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
6.243 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
6.243 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
6.243 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
6.243 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.243 * [taylor]: Taking taylor expansion of 1/2 in eps
6.243 * [backup-simplify]: Simplify 1/2 into 1/2
6.243 * [taylor]: Taking taylor expansion of eps in eps
6.243 * [backup-simplify]: Simplify 0 into 0
6.243 * [backup-simplify]: Simplify 1 into 1
6.244 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.244 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.244 * [backup-simplify]: Simplify (- 0) into 0
6.244 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify (+ 0) into 0
6.245 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
6.246 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
6.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.246 * [backup-simplify]: Simplify (+ 0 0) into 0
6.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
6.247 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.248 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
6.248 * [backup-simplify]: Simplify (- 0) into 0
6.248 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
6.248 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
6.248 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
6.248 * [taylor]: Taking taylor expansion of 1/2 in eps
6.248 * [backup-simplify]: Simplify 1/2 into 1/2
6.248 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
6.248 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.248 * [taylor]: Taking taylor expansion of 1/2 in eps
6.248 * [backup-simplify]: Simplify 1/2 into 1/2
6.248 * [taylor]: Taking taylor expansion of eps in eps
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 1 into 1
6.249 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.249 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.249 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.249 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.249 * [backup-simplify]: Simplify -1/2 into -1/2
6.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
6.250 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.250 * [backup-simplify]: Simplify -1/2 into -1/2
6.250 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
6.251 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.251 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
6.251 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.251 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.251 * [taylor]: Taking taylor expansion of 1/2 in eps
6.251 * [backup-simplify]: Simplify 1/2 into 1/2
6.251 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.251 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.251 * [taylor]: Taking taylor expansion of eps in eps
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 1 into 1
6.251 * [backup-simplify]: Simplify (/ 1 1) into 1
6.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.251 * [taylor]: Taking taylor expansion of 2 in eps
6.251 * [backup-simplify]: Simplify 2 into 2
6.251 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.251 * [taylor]: Taking taylor expansion of x in eps
6.251 * [backup-simplify]: Simplify x into x
6.251 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.251 * [backup-simplify]: Simplify (+ 1 0) into 1
6.252 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.252 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.252 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.252 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.252 * [taylor]: Taking taylor expansion of 1/2 in x
6.252 * [backup-simplify]: Simplify 1/2 into 1/2
6.252 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.252 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.252 * [taylor]: Taking taylor expansion of eps in x
6.252 * [backup-simplify]: Simplify eps into eps
6.252 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.252 * [taylor]: Taking taylor expansion of 2 in x
6.252 * [backup-simplify]: Simplify 2 into 2
6.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.252 * [taylor]: Taking taylor expansion of x in x
6.252 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (/ 1 1) into 1
6.253 * [backup-simplify]: Simplify (* 2 1) into 2
6.253 * [backup-simplify]: Simplify (+ 0 2) into 2
6.253 * [backup-simplify]: Simplify (* 1/2 2) into 1
6.253 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.253 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.253 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.253 * [taylor]: Taking taylor expansion of 1/2 in x
6.253 * [backup-simplify]: Simplify 1/2 into 1/2
6.253 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.253 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.253 * [taylor]: Taking taylor expansion of eps in x
6.253 * [backup-simplify]: Simplify eps into eps
6.253 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.253 * [taylor]: Taking taylor expansion of 2 in x
6.253 * [backup-simplify]: Simplify 2 into 2
6.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.253 * [taylor]: Taking taylor expansion of x in x
6.253 * [backup-simplify]: Simplify 0 into 0
6.254 * [backup-simplify]: Simplify 1 into 1
6.254 * [backup-simplify]: Simplify (/ 1 1) into 1
6.254 * [backup-simplify]: Simplify (* 2 1) into 2
6.254 * [backup-simplify]: Simplify (+ 0 2) into 2
6.255 * [backup-simplify]: Simplify (* 1/2 2) into 1
6.255 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.255 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.255 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.255 * [taylor]: Taking taylor expansion of 1/2 in eps
6.255 * [backup-simplify]: Simplify 1/2 into 1/2
6.255 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.255 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.255 * [taylor]: Taking taylor expansion of eps in eps
6.255 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify 1 into 1
6.255 * [backup-simplify]: Simplify (/ 1 1) into 1
6.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.255 * [taylor]: Taking taylor expansion of 2 in eps
6.255 * [backup-simplify]: Simplify 2 into 2
6.255 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.255 * [taylor]: Taking taylor expansion of x in eps
6.255 * [backup-simplify]: Simplify x into x
6.255 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.256 * [backup-simplify]: Simplify (+ 1 0) into 1
6.256 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.256 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.256 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.256 * [taylor]: Taking taylor expansion of 0 in eps
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [taylor]: Taking taylor expansion of 0 in eps
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [taylor]: Taking taylor expansion of 0 in eps
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
6.257 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.257 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
6.257 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.257 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.257 * [taylor]: Taking taylor expansion of -1/2 in eps
6.257 * [backup-simplify]: Simplify -1/2 into -1/2
6.257 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.257 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.257 * [taylor]: Taking taylor expansion of eps in eps
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify 1 into 1
6.257 * [backup-simplify]: Simplify (/ 1 1) into 1
6.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.257 * [taylor]: Taking taylor expansion of 2 in eps
6.257 * [backup-simplify]: Simplify 2 into 2
6.257 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.257 * [taylor]: Taking taylor expansion of x in eps
6.257 * [backup-simplify]: Simplify x into x
6.257 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.257 * [backup-simplify]: Simplify (+ 1 0) into 1
6.258 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
6.258 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.258 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.258 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.258 * [taylor]: Taking taylor expansion of -1/2 in x
6.258 * [backup-simplify]: Simplify -1/2 into -1/2
6.258 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.258 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.258 * [taylor]: Taking taylor expansion of eps in x
6.258 * [backup-simplify]: Simplify eps into eps
6.258 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.258 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.258 * [taylor]: Taking taylor expansion of 2 in x
6.258 * [backup-simplify]: Simplify 2 into 2
6.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.258 * [taylor]: Taking taylor expansion of x in x
6.258 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify 1 into 1
6.258 * [backup-simplify]: Simplify (/ 1 1) into 1
6.261 * [backup-simplify]: Simplify (* 2 1) into 2
6.261 * [backup-simplify]: Simplify (+ 0 2) into 2
6.261 * [backup-simplify]: Simplify (* -1/2 2) into -1
6.261 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.261 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.261 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.262 * [taylor]: Taking taylor expansion of -1/2 in x
6.262 * [backup-simplify]: Simplify -1/2 into -1/2
6.262 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.262 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.262 * [taylor]: Taking taylor expansion of eps in x
6.262 * [backup-simplify]: Simplify eps into eps
6.262 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.262 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.262 * [taylor]: Taking taylor expansion of 2 in x
6.262 * [backup-simplify]: Simplify 2 into 2
6.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.262 * [taylor]: Taking taylor expansion of x in x
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [backup-simplify]: Simplify 1 into 1
6.262 * [backup-simplify]: Simplify (/ 1 1) into 1
6.262 * [backup-simplify]: Simplify (* 2 1) into 2
6.262 * [backup-simplify]: Simplify (+ 0 2) into 2
6.263 * [backup-simplify]: Simplify (* -1/2 2) into -1
6.263 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.263 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.263 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.263 * [taylor]: Taking taylor expansion of -1/2 in eps
6.263 * [backup-simplify]: Simplify -1/2 into -1/2
6.263 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.263 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.263 * [taylor]: Taking taylor expansion of eps in eps
6.263 * [backup-simplify]: Simplify 0 into 0
6.263 * [backup-simplify]: Simplify 1 into 1
6.263 * [backup-simplify]: Simplify (/ 1 1) into 1
6.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.263 * [taylor]: Taking taylor expansion of 2 in eps
6.263 * [backup-simplify]: Simplify 2 into 2
6.263 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.263 * [taylor]: Taking taylor expansion of x in eps
6.263 * [backup-simplify]: Simplify x into x
6.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.264 * [backup-simplify]: Simplify (+ 1 0) into 1
6.264 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
6.264 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.264 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.264 * [taylor]: Taking taylor expansion of 0 in eps
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [taylor]: Taking taylor expansion of 0 in eps
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [taylor]: Taking taylor expansion of 0 in eps
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
6.265 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1 1 1)
6.265 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
6.265 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
6.265 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
6.265 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
6.265 * [taylor]: Taking taylor expansion of 1/2 in eps
6.265 * [backup-simplify]: Simplify 1/2 into 1/2
6.265 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
6.265 * [taylor]: Taking taylor expansion of (* 2 x) in eps
6.265 * [taylor]: Taking taylor expansion of 2 in eps
6.265 * [backup-simplify]: Simplify 2 into 2
6.265 * [taylor]: Taking taylor expansion of x in eps
6.265 * [backup-simplify]: Simplify x into x
6.265 * [taylor]: Taking taylor expansion of eps in eps
6.265 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify 1 into 1
6.265 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
6.265 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
6.265 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
6.265 * [backup-simplify]: Simplify (cos x) into (cos x)
6.265 * [backup-simplify]: Simplify (sin x) into (sin x)
6.265 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
6.265 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
6.265 * [taylor]: Taking taylor expansion of 1/2 in x
6.265 * [backup-simplify]: Simplify 1/2 into 1/2
6.265 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
6.265 * [taylor]: Taking taylor expansion of (* 2 x) in x
6.265 * [taylor]: Taking taylor expansion of 2 in x
6.265 * [backup-simplify]: Simplify 2 into 2
6.265 * [taylor]: Taking taylor expansion of x in x
6.265 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify 1 into 1
6.265 * [taylor]: Taking taylor expansion of eps in x
6.265 * [backup-simplify]: Simplify eps into eps
6.266 * [backup-simplify]: Simplify (* 2 0) into 0
6.266 * [backup-simplify]: Simplify (+ 0 eps) into eps
6.266 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
6.266 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
6.266 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
6.266 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
6.266 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
6.266 * [taylor]: Taking taylor expansion of 1/2 in x
6.266 * [backup-simplify]: Simplify 1/2 into 1/2
6.266 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
6.266 * [taylor]: Taking taylor expansion of (* 2 x) in x
6.266 * [taylor]: Taking taylor expansion of 2 in x
6.266 * [backup-simplify]: Simplify 2 into 2
6.266 * [taylor]: Taking taylor expansion of x in x
6.266 * [backup-simplify]: Simplify 0 into 0
6.266 * [backup-simplify]: Simplify 1 into 1
6.266 * [taylor]: Taking taylor expansion of eps in x
6.266 * [backup-simplify]: Simplify eps into eps
6.267 * [backup-simplify]: Simplify (* 2 0) into 0
6.267 * [backup-simplify]: Simplify (+ 0 eps) into eps
6.267 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
6.267 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
6.267 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
6.267 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
6.267 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
6.268 * [backup-simplify]: Simplify (- 0) into 0
6.268 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
6.268 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
6.268 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.268 * [taylor]: Taking taylor expansion of 1/2 in eps
6.268 * [backup-simplify]: Simplify 1/2 into 1/2
6.268 * [taylor]: Taking taylor expansion of eps in eps
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 1 into 1
6.269 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.269 * [backup-simplify]: Simplify 1 into 1
6.270 * [backup-simplify]: Simplify (+ 0) into 0
6.270 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
6.271 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.271 * [backup-simplify]: Simplify (+ 2 0) into 2
6.272 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
6.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.273 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
6.273 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
6.273 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
6.273 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
6.273 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
6.273 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.273 * [taylor]: Taking taylor expansion of 1/2 in eps
6.274 * [backup-simplify]: Simplify 1/2 into 1/2
6.274 * [taylor]: Taking taylor expansion of eps in eps
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify 1 into 1
6.274 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.275 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.275 * [backup-simplify]: Simplify (- 0) into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify (+ 0) into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
6.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
6.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.279 * [backup-simplify]: Simplify (+ 0 0) into 0
6.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
6.281 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.281 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
6.282 * [backup-simplify]: Simplify (- 0) into 0
6.282 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
6.282 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
6.282 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
6.282 * [taylor]: Taking taylor expansion of 1/2 in eps
6.282 * [backup-simplify]: Simplify 1/2 into 1/2
6.282 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
6.282 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.282 * [taylor]: Taking taylor expansion of 1/2 in eps
6.282 * [backup-simplify]: Simplify 1/2 into 1/2
6.282 * [taylor]: Taking taylor expansion of eps in eps
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 1 into 1
6.283 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.283 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.284 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.284 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.284 * [backup-simplify]: Simplify -1/2 into -1/2
6.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
6.285 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.285 * [backup-simplify]: Simplify -1/2 into -1/2
6.286 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
6.286 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.286 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
6.286 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.286 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.286 * [taylor]: Taking taylor expansion of 1/2 in eps
6.286 * [backup-simplify]: Simplify 1/2 into 1/2
6.286 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.286 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.287 * [taylor]: Taking taylor expansion of eps in eps
6.287 * [backup-simplify]: Simplify 0 into 0
6.287 * [backup-simplify]: Simplify 1 into 1
6.287 * [backup-simplify]: Simplify (/ 1 1) into 1
6.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.287 * [taylor]: Taking taylor expansion of 2 in eps
6.287 * [backup-simplify]: Simplify 2 into 2
6.287 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.287 * [taylor]: Taking taylor expansion of x in eps
6.287 * [backup-simplify]: Simplify x into x
6.287 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.288 * [backup-simplify]: Simplify (+ 1 0) into 1
6.288 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.288 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.288 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.288 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.288 * [taylor]: Taking taylor expansion of 1/2 in x
6.288 * [backup-simplify]: Simplify 1/2 into 1/2
6.288 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.289 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.289 * [taylor]: Taking taylor expansion of eps in x
6.289 * [backup-simplify]: Simplify eps into eps
6.289 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.289 * [taylor]: Taking taylor expansion of 2 in x
6.289 * [backup-simplify]: Simplify 2 into 2
6.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.289 * [taylor]: Taking taylor expansion of x in x
6.289 * [backup-simplify]: Simplify 0 into 0
6.289 * [backup-simplify]: Simplify 1 into 1
6.289 * [backup-simplify]: Simplify (/ 1 1) into 1
6.290 * [backup-simplify]: Simplify (* 2 1) into 2
6.290 * [backup-simplify]: Simplify (+ 0 2) into 2
6.290 * [backup-simplify]: Simplify (* 1/2 2) into 1
6.290 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.290 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.290 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.290 * [taylor]: Taking taylor expansion of 1/2 in x
6.290 * [backup-simplify]: Simplify 1/2 into 1/2
6.290 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.290 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.290 * [taylor]: Taking taylor expansion of eps in x
6.291 * [backup-simplify]: Simplify eps into eps
6.291 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.291 * [taylor]: Taking taylor expansion of 2 in x
6.291 * [backup-simplify]: Simplify 2 into 2
6.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.291 * [taylor]: Taking taylor expansion of x in x
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 1 into 1
6.291 * [backup-simplify]: Simplify (/ 1 1) into 1
6.291 * [backup-simplify]: Simplify (* 2 1) into 2
6.291 * [backup-simplify]: Simplify (+ 0 2) into 2
6.292 * [backup-simplify]: Simplify (* 1/2 2) into 1
6.292 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.292 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.292 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.292 * [taylor]: Taking taylor expansion of 1/2 in eps
6.292 * [backup-simplify]: Simplify 1/2 into 1/2
6.292 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.292 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.292 * [taylor]: Taking taylor expansion of eps in eps
6.292 * [backup-simplify]: Simplify 0 into 0
6.292 * [backup-simplify]: Simplify 1 into 1
6.292 * [backup-simplify]: Simplify (/ 1 1) into 1
6.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.292 * [taylor]: Taking taylor expansion of 2 in eps
6.292 * [backup-simplify]: Simplify 2 into 2
6.292 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.292 * [taylor]: Taking taylor expansion of x in eps
6.292 * [backup-simplify]: Simplify x into x
6.292 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.293 * [backup-simplify]: Simplify (+ 1 0) into 1
6.293 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.293 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.293 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.293 * [taylor]: Taking taylor expansion of 0 in eps
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [taylor]: Taking taylor expansion of 0 in eps
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [taylor]: Taking taylor expansion of 0 in eps
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
6.294 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.294 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
6.294 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.294 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.294 * [taylor]: Taking taylor expansion of -1/2 in eps
6.294 * [backup-simplify]: Simplify -1/2 into -1/2
6.294 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.294 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.294 * [taylor]: Taking taylor expansion of eps in eps
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 1 into 1
6.294 * [backup-simplify]: Simplify (/ 1 1) into 1
6.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.294 * [taylor]: Taking taylor expansion of 2 in eps
6.294 * [backup-simplify]: Simplify 2 into 2
6.294 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.294 * [taylor]: Taking taylor expansion of x in eps
6.294 * [backup-simplify]: Simplify x into x
6.294 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.295 * [backup-simplify]: Simplify (+ 1 0) into 1
6.295 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
6.295 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.295 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.295 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.295 * [taylor]: Taking taylor expansion of -1/2 in x
6.295 * [backup-simplify]: Simplify -1/2 into -1/2
6.295 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.295 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.295 * [taylor]: Taking taylor expansion of eps in x
6.295 * [backup-simplify]: Simplify eps into eps
6.295 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.295 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.295 * [taylor]: Taking taylor expansion of 2 in x
6.295 * [backup-simplify]: Simplify 2 into 2
6.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.295 * [taylor]: Taking taylor expansion of x in x
6.295 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify 1 into 1
6.296 * [backup-simplify]: Simplify (/ 1 1) into 1
6.296 * [backup-simplify]: Simplify (* 2 1) into 2
6.296 * [backup-simplify]: Simplify (+ 0 2) into 2
6.296 * [backup-simplify]: Simplify (* -1/2 2) into -1
6.296 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.296 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.296 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.296 * [taylor]: Taking taylor expansion of -1/2 in x
6.296 * [backup-simplify]: Simplify -1/2 into -1/2
6.297 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.297 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.297 * [taylor]: Taking taylor expansion of eps in x
6.297 * [backup-simplify]: Simplify eps into eps
6.297 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.297 * [taylor]: Taking taylor expansion of 2 in x
6.297 * [backup-simplify]: Simplify 2 into 2
6.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.297 * [taylor]: Taking taylor expansion of x in x
6.297 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify 1 into 1
6.297 * [backup-simplify]: Simplify (/ 1 1) into 1
6.297 * [backup-simplify]: Simplify (* 2 1) into 2
6.297 * [backup-simplify]: Simplify (+ 0 2) into 2
6.298 * [backup-simplify]: Simplify (* -1/2 2) into -1
6.298 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.298 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.298 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.298 * [taylor]: Taking taylor expansion of -1/2 in eps
6.298 * [backup-simplify]: Simplify -1/2 into -1/2
6.298 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.298 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.298 * [taylor]: Taking taylor expansion of eps in eps
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 1 into 1
6.298 * [backup-simplify]: Simplify (/ 1 1) into 1
6.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.298 * [taylor]: Taking taylor expansion of 2 in eps
6.298 * [backup-simplify]: Simplify 2 into 2
6.298 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.298 * [taylor]: Taking taylor expansion of x in eps
6.298 * [backup-simplify]: Simplify x into x
6.298 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.299 * [backup-simplify]: Simplify (+ 1 0) into 1
6.299 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
6.299 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.299 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.299 * [taylor]: Taking taylor expansion of 0 in eps
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [taylor]: Taking taylor expansion of 0 in eps
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [taylor]: Taking taylor expansion of 0 in eps
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
6.300 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2)
6.300 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
6.300 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
6.300 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
6.300 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
6.300 * [taylor]: Taking taylor expansion of 1/2 in eps
6.300 * [backup-simplify]: Simplify 1/2 into 1/2
6.300 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
6.300 * [taylor]: Taking taylor expansion of (* 2 x) in eps
6.300 * [taylor]: Taking taylor expansion of 2 in eps
6.300 * [backup-simplify]: Simplify 2 into 2
6.300 * [taylor]: Taking taylor expansion of x in eps
6.300 * [backup-simplify]: Simplify x into x
6.300 * [taylor]: Taking taylor expansion of eps in eps
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 1 into 1
6.300 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
6.300 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
6.300 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
6.300 * [backup-simplify]: Simplify (cos x) into (cos x)
6.300 * [backup-simplify]: Simplify (sin x) into (sin x)
6.300 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
6.300 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
6.300 * [taylor]: Taking taylor expansion of 1/2 in x
6.300 * [backup-simplify]: Simplify 1/2 into 1/2
6.300 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
6.300 * [taylor]: Taking taylor expansion of (* 2 x) in x
6.300 * [taylor]: Taking taylor expansion of 2 in x
6.300 * [backup-simplify]: Simplify 2 into 2
6.300 * [taylor]: Taking taylor expansion of x in x
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 1 into 1
6.300 * [taylor]: Taking taylor expansion of eps in x
6.300 * [backup-simplify]: Simplify eps into eps
6.301 * [backup-simplify]: Simplify (* 2 0) into 0
6.301 * [backup-simplify]: Simplify (+ 0 eps) into eps
6.301 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
6.301 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
6.301 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
6.301 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
6.301 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
6.301 * [taylor]: Taking taylor expansion of 1/2 in x
6.301 * [backup-simplify]: Simplify 1/2 into 1/2
6.301 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
6.301 * [taylor]: Taking taylor expansion of (* 2 x) in x
6.301 * [taylor]: Taking taylor expansion of 2 in x
6.301 * [backup-simplify]: Simplify 2 into 2
6.301 * [taylor]: Taking taylor expansion of x in x
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 1 into 1
6.301 * [taylor]: Taking taylor expansion of eps in x
6.301 * [backup-simplify]: Simplify eps into eps
6.301 * [backup-simplify]: Simplify (* 2 0) into 0
6.301 * [backup-simplify]: Simplify (+ 0 eps) into eps
6.302 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
6.302 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
6.302 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
6.302 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
6.302 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
6.302 * [backup-simplify]: Simplify (- 0) into 0
6.302 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
6.302 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
6.302 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.302 * [taylor]: Taking taylor expansion of 1/2 in eps
6.302 * [backup-simplify]: Simplify 1/2 into 1/2
6.302 * [taylor]: Taking taylor expansion of eps in eps
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 1 into 1
6.303 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.303 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.303 * [backup-simplify]: Simplify 1 into 1
6.303 * [backup-simplify]: Simplify (+ 0) into 0
6.304 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
6.304 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.304 * [backup-simplify]: Simplify (+ 2 0) into 2
6.305 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
6.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.305 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
6.305 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
6.305 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
6.305 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
6.305 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
6.305 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.306 * [taylor]: Taking taylor expansion of 1/2 in eps
6.306 * [backup-simplify]: Simplify 1/2 into 1/2
6.306 * [taylor]: Taking taylor expansion of eps in eps
6.306 * [backup-simplify]: Simplify 0 into 0
6.306 * [backup-simplify]: Simplify 1 into 1
6.306 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.306 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.307 * [backup-simplify]: Simplify (- 0) into 0
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify (+ 0) into 0
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
6.308 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
6.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.309 * [backup-simplify]: Simplify (+ 0 0) into 0
6.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
6.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.310 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
6.311 * [backup-simplify]: Simplify (- 0) into 0
6.311 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
6.311 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
6.311 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
6.311 * [taylor]: Taking taylor expansion of 1/2 in eps
6.311 * [backup-simplify]: Simplify 1/2 into 1/2
6.311 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
6.311 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
6.311 * [taylor]: Taking taylor expansion of 1/2 in eps
6.311 * [backup-simplify]: Simplify 1/2 into 1/2
6.311 * [taylor]: Taking taylor expansion of eps in eps
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 1 into 1
6.311 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.312 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.312 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.312 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.312 * [backup-simplify]: Simplify -1/2 into -1/2
6.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
6.313 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.313 * [backup-simplify]: Simplify -1/2 into -1/2
6.313 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
6.313 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.313 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
6.313 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.313 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.313 * [taylor]: Taking taylor expansion of 1/2 in eps
6.313 * [backup-simplify]: Simplify 1/2 into 1/2
6.313 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.313 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.313 * [taylor]: Taking taylor expansion of eps in eps
6.313 * [backup-simplify]: Simplify 0 into 0
6.313 * [backup-simplify]: Simplify 1 into 1
6.314 * [backup-simplify]: Simplify (/ 1 1) into 1
6.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.314 * [taylor]: Taking taylor expansion of 2 in eps
6.314 * [backup-simplify]: Simplify 2 into 2
6.314 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.314 * [taylor]: Taking taylor expansion of x in eps
6.314 * [backup-simplify]: Simplify x into x
6.314 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.314 * [backup-simplify]: Simplify (+ 1 0) into 1
6.314 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.315 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.315 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.315 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.315 * [taylor]: Taking taylor expansion of 1/2 in x
6.315 * [backup-simplify]: Simplify 1/2 into 1/2
6.315 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.315 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.315 * [taylor]: Taking taylor expansion of eps in x
6.315 * [backup-simplify]: Simplify eps into eps
6.315 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.315 * [taylor]: Taking taylor expansion of 2 in x
6.315 * [backup-simplify]: Simplify 2 into 2
6.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.315 * [taylor]: Taking taylor expansion of x in x
6.315 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify 1 into 1
6.315 * [backup-simplify]: Simplify (/ 1 1) into 1
6.315 * [backup-simplify]: Simplify (* 2 1) into 2
6.316 * [backup-simplify]: Simplify (+ 0 2) into 2
6.316 * [backup-simplify]: Simplify (* 1/2 2) into 1
6.316 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.316 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.316 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.316 * [taylor]: Taking taylor expansion of 1/2 in x
6.316 * [backup-simplify]: Simplify 1/2 into 1/2
6.316 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.316 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.316 * [taylor]: Taking taylor expansion of eps in x
6.316 * [backup-simplify]: Simplify eps into eps
6.316 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.316 * [taylor]: Taking taylor expansion of 2 in x
6.316 * [backup-simplify]: Simplify 2 into 2
6.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.316 * [taylor]: Taking taylor expansion of x in x
6.316 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify 1 into 1
6.317 * [backup-simplify]: Simplify (/ 1 1) into 1
6.317 * [backup-simplify]: Simplify (* 2 1) into 2
6.317 * [backup-simplify]: Simplify (+ 0 2) into 2
6.317 * [backup-simplify]: Simplify (* 1/2 2) into 1
6.317 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.318 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.318 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.318 * [taylor]: Taking taylor expansion of 1/2 in eps
6.318 * [backup-simplify]: Simplify 1/2 into 1/2
6.318 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.318 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.318 * [taylor]: Taking taylor expansion of eps in eps
6.318 * [backup-simplify]: Simplify 0 into 0
6.318 * [backup-simplify]: Simplify 1 into 1
6.318 * [backup-simplify]: Simplify (/ 1 1) into 1
6.318 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.318 * [taylor]: Taking taylor expansion of 2 in eps
6.318 * [backup-simplify]: Simplify 2 into 2
6.318 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.318 * [taylor]: Taking taylor expansion of x in eps
6.318 * [backup-simplify]: Simplify x into x
6.318 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.319 * [backup-simplify]: Simplify (+ 1 0) into 1
6.319 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.319 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.319 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.319 * [taylor]: Taking taylor expansion of 0 in eps
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [taylor]: Taking taylor expansion of 0 in eps
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [taylor]: Taking taylor expansion of 0 in eps
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
6.320 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.320 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
6.321 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.321 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.321 * [taylor]: Taking taylor expansion of -1/2 in eps
6.321 * [backup-simplify]: Simplify -1/2 into -1/2
6.321 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.321 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.321 * [taylor]: Taking taylor expansion of eps in eps
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 1 into 1
6.321 * [backup-simplify]: Simplify (/ 1 1) into 1
6.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.321 * [taylor]: Taking taylor expansion of 2 in eps
6.321 * [backup-simplify]: Simplify 2 into 2
6.321 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.321 * [taylor]: Taking taylor expansion of x in eps
6.321 * [backup-simplify]: Simplify x into x
6.321 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.322 * [backup-simplify]: Simplify (+ 1 0) into 1
6.322 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
6.322 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.322 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.322 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.322 * [taylor]: Taking taylor expansion of -1/2 in x
6.323 * [backup-simplify]: Simplify -1/2 into -1/2
6.323 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.323 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.323 * [taylor]: Taking taylor expansion of eps in x
6.323 * [backup-simplify]: Simplify eps into eps
6.323 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.323 * [taylor]: Taking taylor expansion of 2 in x
6.323 * [backup-simplify]: Simplify 2 into 2
6.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.323 * [taylor]: Taking taylor expansion of x in x
6.323 * [backup-simplify]: Simplify 0 into 0
6.323 * [backup-simplify]: Simplify 1 into 1
6.323 * [backup-simplify]: Simplify (/ 1 1) into 1
6.324 * [backup-simplify]: Simplify (* 2 1) into 2
6.324 * [backup-simplify]: Simplify (+ 0 2) into 2
6.324 * [backup-simplify]: Simplify (* -1/2 2) into -1
6.325 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.325 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
6.325 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
6.325 * [taylor]: Taking taylor expansion of -1/2 in x
6.325 * [backup-simplify]: Simplify -1/2 into -1/2
6.325 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
6.325 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
6.325 * [taylor]: Taking taylor expansion of eps in x
6.325 * [backup-simplify]: Simplify eps into eps
6.325 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
6.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
6.325 * [taylor]: Taking taylor expansion of 2 in x
6.325 * [backup-simplify]: Simplify 2 into 2
6.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.325 * [taylor]: Taking taylor expansion of x in x
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 1 into 1
6.325 * [backup-simplify]: Simplify (/ 1 1) into 1
6.326 * [backup-simplify]: Simplify (* 2 1) into 2
6.326 * [backup-simplify]: Simplify (+ 0 2) into 2
6.326 * [backup-simplify]: Simplify (* -1/2 2) into -1
6.327 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.327 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
6.327 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
6.327 * [taylor]: Taking taylor expansion of -1/2 in eps
6.327 * [backup-simplify]: Simplify -1/2 into -1/2
6.327 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
6.327 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
6.327 * [taylor]: Taking taylor expansion of eps in eps
6.327 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify 1 into 1
6.327 * [backup-simplify]: Simplify (/ 1 1) into 1
6.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
6.327 * [taylor]: Taking taylor expansion of 2 in eps
6.327 * [backup-simplify]: Simplify 2 into 2
6.327 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
6.327 * [taylor]: Taking taylor expansion of x in eps
6.328 * [backup-simplify]: Simplify x into x
6.328 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.328 * [backup-simplify]: Simplify (+ 1 0) into 1
6.328 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
6.329 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.329 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
6.329 * [taylor]: Taking taylor expansion of 0 in eps
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [taylor]: Taking taylor expansion of 0 in eps
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [taylor]: Taking taylor expansion of 0 in eps
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
6.329 * * * [progress]: simplifying candidates
6.330 * [simplify]: Simplifying:
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
6.331 * * [simplify]: iteration 0: 26 enodes
6.339 * * [simplify]: iteration 1: 58 enodes
6.365 * * [simplify]: iteration 2: 137 enodes
6.417 * * [simplify]: iteration 3: 458 enodes
6.779 * * [simplify]: iteration 4: 1809 enodes
7.548 * * [simplify]: iteration complete: 5000 enodes
7.548 * * [simplify]: Extracting #0: cost 8 inf + 0
7.548 * * [simplify]: Extracting #1: cost 31 inf + 0
7.550 * * [simplify]: Extracting #2: cost 1256 inf + 2
7.556 * * [simplify]: Extracting #3: cost 1919 inf + 2001
7.580 * * [simplify]: Extracting #4: cost 760 inf + 95179
7.623 * * [simplify]: Extracting #5: cost 37 inf + 157399
7.668 * * [simplify]: Extracting #6: cost 12 inf + 162513
7.722 * * [simplify]: Extracting #7: cost 0 inf + 166816
7.789 * [simplify]: Simplified to:
  (log (cos (/ (+ x (+ eps x)) 2)))
  (exp (cos (/ (+ x (+ eps x)) 2)))
  (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2))))
  (cbrt (cos (/ (+ x (+ eps x)) 2)))
  (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2)))
  (sqrt (cos (/ (+ x (+ eps x)) 2)))
  (sqrt (cos (/ (+ x (+ eps x)) 2)))
  (log (cos (/ (+ x (+ eps x)) 2)))
  (exp (cos (/ (+ x (+ eps x)) 2)))
  (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2))))
  (cbrt (cos (/ (+ x (+ eps x)) 2)))
  (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2)))
  (sqrt (cos (/ (+ x (+ eps x)) 2)))
  (sqrt (cos (/ (+ x (+ eps x)) 2)))
  (log (cos (/ (+ x (+ eps x)) 2)))
  (exp (cos (/ (+ x (+ eps x)) 2)))
  (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2))))
  (cbrt (cos (/ (+ x (+ eps x)) 2)))
  (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2)))
  (sqrt (cos (/ (+ x (+ eps x)) 2)))
  (sqrt (cos (/ (+ x (+ eps x)) 2)))
  (log (cos (/ (+ x (+ eps x)) 2)))
  (exp (cos (/ (+ x (+ eps x)) 2)))
  (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2))))
  (cbrt (cos (/ (+ x (+ eps x)) 2)))
  (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2)))
  (sqrt (cos (/ (+ x (+ eps x)) 2)))
  (sqrt (cos (/ (+ x (+ eps x)) 2)))
  (- 1 (* 1/2 (* x (+ x eps))))
  (cos (+ x (* 1/2 eps)))
  (cos (+ x (* 1/2 eps)))
  (- 1 (* 1/2 (* x (+ x eps))))
  (cos (+ x (* 1/2 eps)))
  (cos (+ x (* 1/2 eps)))
  (- 1 (* 1/2 (* x (+ x eps))))
  (cos (+ x (* 1/2 eps)))
  (cos (+ x (* 1/2 eps)))
  (- 1 (* 1/2 (* x (+ x eps))))
  (cos (+ x (* 1/2 eps)))
  (cos (+ x (* 1/2 eps)))
7.799 * * * [progress]: adding candidates to table
8.120 * [progress]: [Phase 3 of 3] Extracting.
8.120 * * [regime]: Finding splitpoints for: (#<alt (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))> #<alt (λ (x eps) (* 2 (* (* (cos (/ (+ x (+ x eps)) 2)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) (cbrt (sin (/ eps 2))))))> #<alt (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (log (exp (cos (/ (+ x (+ x eps)) 2)))))))) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sin (/ eps 2))))))> #<alt (λ (x eps) (* 2 (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))))> #<alt (λ (x eps) (* 2 (* (* (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2)))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2)))))>)
8.124 * * * [regime-changes]: Trying 2 branch expressions: (eps x)
8.124 * * * * [regimes]: Trying to branch on eps from (#<alt (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))> #<alt (λ (x eps) (* 2 (* (* (cos (/ (+ x (+ x eps)) 2)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) (cbrt (sin (/ eps 2))))))> #<alt (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (log (exp (cos (/ (+ x (+ x eps)) 2)))))))) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sin (/ eps 2))))))> #<alt (λ (x eps) (* 2 (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))))> #<alt (λ (x eps) (* 2 (* (* (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2)))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2)))))>)
8.234 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))> #<alt (λ (x eps) (* 2 (* (* (cos (/ (+ x (+ x eps)) 2)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) (cbrt (sin (/ eps 2))))))> #<alt (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (log (exp (cos (/ (+ x (+ x eps)) 2)))))))) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sin (/ eps 2))))))> #<alt (λ (x eps) (* 2 (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))))> #<alt (λ (x eps) (* 2 (* (* (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2)))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2)))))>)
8.402 * * * [regime]: Found split indices: #<option (#s(si 0 65) #s(si 5 186) #s(si 0 255))>
8.403 * [binary-search]: Improving bounds with binary search for eps and (#<alt (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))> #<alt (λ (x eps) (* 2 (* (* (cos (/ (+ x (+ x eps)) 2)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) (cbrt (sin (/ eps 2))))))> #<alt (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (log (exp (cos (/ (+ x (+ x eps)) 2)))))))) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sin (/ eps 2))))))> #<alt (λ (x eps) (* 2 (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))))> #<alt (λ (x eps) (* 2 (* (* (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2)))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2)))))>)
8.582 * [regimes]: Found splitpoints: (#s(sp 0 eps -6443.306290177518) #s(sp 5 eps 5.463141894552383e-09) #s(sp 0 eps +nan.0)) , with alts (#<alt (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))> #<alt (λ (x eps) (* 2 (* (* (cos (/ (+ x (+ x eps)) 2)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) (cbrt (sin (/ eps 2))))))> #<alt (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (log (exp (cos (/ (+ x (+ x eps)) 2)))))))) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sin (/ eps 2))))))> #<alt (λ (x eps) (* 2 (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))> #<alt (λ (x eps) (* 2 (* (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))))))> #<alt (λ (x eps) (* 2 (* (* (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2)))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2)))))>)
8.582 * [simplify]: Simplifying:
  (if (<= eps -6443.306290177518) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (if (<= eps 5.463141894552383e-09) (* 2 (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))))
8.583 * * [simplify]: iteration 0: 25 enodes
8.585 * * [simplify]: iteration 1: 35 enodes
8.588 * * [simplify]: iteration complete: 35 enodes
8.588 * * [simplify]: Extracting #0: cost 1 inf + 0
8.588 * * [simplify]: Extracting #1: cost 6 inf + 0
8.588 * * [simplify]: Extracting #2: cost 14 inf + 0
8.588 * * [simplify]: Extracting #3: cost 17 inf + 3
8.588 * * [simplify]: Extracting #4: cost 18 inf + 199
8.588 * * [simplify]: Extracting #5: cost 11 inf + 821
8.589 * * [simplify]: Extracting #6: cost 8 inf + 1900
8.589 * * [simplify]: Extracting #7: cost 6 inf + 2024
8.589 * * [simplify]: Extracting #8: cost 5 inf + 2147
8.590 * * [simplify]: Extracting #9: cost 3 inf + 2653
8.591 * * [simplify]: Extracting #10: cost 1 inf + 4096
8.592 * * [simplify]: Extracting #11: cost 0 inf + 4935
8.593 * [simplify]: Simplified to:
  (if (<= eps -6443.306290177518) (+ (- (* (cos x) (sin eps)) (sin x)) (* (sin x) (cos eps))) (if (<= eps 5.463141894552383e-09) (* 2 (* (sin (/ eps 2)) (cos (/ (+ (+ x eps) x) 2)))) (+ (- (* (cos x) (sin eps)) (sin x)) (* (sin x) (cos eps)))))
15.890 * [regime-testing]: Baseline error score: 15.149671853881452
15.899 * [regime-testing]: Oracle error score: 0.38392443139257076
15.915 * [regime-testing]: End program error score: 0.592510160807295
16.018 * [regime-testing]: Target error score: 15.121872115769932