3.403 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.265 * * * [progress]: [2/2] Setting up program.
0.268 * [progress]: [Phase 2 of 3] Improving.
0.268 * [simplify]: Simplifying:
  (- (tan (+ x eps)) (tan x))
0.268 * * [simplify]: Extracting # 0 : cost  0
0.268 * * [simplify]: Extracting # 1 : cost  0
0.268 * * [simplify]: Extracting # 2 : cost  0
0.268 * * [simplify]: Extracting # 3 : cost  0
0.268 * * [simplify]: Extracting # 4 : cost  0
0.268 * * [simplify]: Extracting # 5 : cost  0
0.268 * * [simplify]: iteration  0 :  6  enodes  (cost  7 )
0.269 * * [simplify]: Extracting # 0 : cost  0
0.269 * * [simplify]: Extracting # 1 : cost  0
0.269 * * [simplify]: Extracting # 2 : cost  0
0.269 * * [simplify]: iteration  1 :  9  enodes  (cost  7 )
0.270 * * [simplify]: Extracting # 0 : cost  0
0.270 * * [simplify]: iteration  2 :  10  enodes  (cost  7 )
0.272 * * [simplify]: Extracting # 0 : cost  0
0.272 * * [simplify]: iteration done:  10  enodes  (cost  7 )
0.272 * [simplify]: Simplified to:
  (- (tan (+ x eps)) (tan x))
0.272 * * [progress]: iteration 1 / 4
0.273 * * * [progress]: picking best candidate
0.276 * * * * [pick]: Picked  #<alt (λ (x eps) (- (tan (+ x eps)) (tan x)))>
0.276 * * * [progress]: localizing error
0.295 * * * [progress]: generating rewritten candidates
0.295 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.304 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.369 * * * [progress]: generating series expansions
0.369 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.370 * [backup-simplify]: Simplify (tan (+ x eps)) into (tan (+ x eps))
0.370 * [approximate]: Taking taylor expansion of (tan (+ x eps)) in (x eps) around 0
0.370 * [taylor]: Taking taylor expansion of (tan (+ x eps)) in eps
0.370 * [taylor]: Rewrote expression to (/ (sin (+ x eps)) (cos (+ x eps)))
0.370 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps
0.370 * [taylor]: Taking taylor expansion of (+ x eps) in eps
0.370 * [taylor]: Taking taylor expansion of x in eps
0.370 * [backup-simplify]: Simplify x into x
0.370 * [taylor]: Taking taylor expansion of eps in eps
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (+ x 0) into x
0.370 * [backup-simplify]: Simplify (sin x) into (sin x)
0.370 * [backup-simplify]: Simplify (cos x) into (cos x)
0.370 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in eps
0.370 * [taylor]: Taking taylor expansion of (+ x eps) in eps
0.370 * [taylor]: Taking taylor expansion of x in eps
0.370 * [backup-simplify]: Simplify x into x
0.370 * [taylor]: Taking taylor expansion of eps in eps
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (+ x 0) into x
0.370 * [backup-simplify]: Simplify (cos x) into (cos x)
0.370 * [backup-simplify]: Simplify (sin x) into (sin x)
0.370 * [backup-simplify]: Simplify (* (sin x) 1) into (sin x)
0.370 * [backup-simplify]: Simplify (* (cos x) 0) into 0
0.371 * [backup-simplify]: Simplify (+ (sin x) 0) into (sin x)
0.371 * [backup-simplify]: Simplify (* (cos x) 1) into (cos x)
0.371 * [backup-simplify]: Simplify (* (sin x) 0) into 0
0.371 * [backup-simplify]: Simplify (- 0) into 0
0.371 * [backup-simplify]: Simplify (+ (cos x) 0) into (cos x)
0.371 * [backup-simplify]: Simplify (/ (sin x) (cos x)) into (/ (sin x) (cos x))
0.372 * [taylor]: Taking taylor expansion of (tan (+ x eps)) in x
0.372 * [taylor]: Rewrote expression to (/ (sin (+ x eps)) (cos (+ x eps)))
0.372 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.372 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.372 * [taylor]: Taking taylor expansion of x in x
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [taylor]: Taking taylor expansion of eps in x
0.372 * [backup-simplify]: Simplify eps into eps
0.372 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.372 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.372 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.372 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x
0.372 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.372 * [taylor]: Taking taylor expansion of x in x
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [taylor]: Taking taylor expansion of eps in x
0.372 * [backup-simplify]: Simplify eps into eps
0.372 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.372 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.372 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.372 * [backup-simplify]: Simplify (* (sin eps) 1) into (sin eps)
0.372 * [backup-simplify]: Simplify (* (cos eps) 0) into 0
0.372 * [backup-simplify]: Simplify (+ (sin eps) 0) into (sin eps)
0.372 * [backup-simplify]: Simplify (* (cos eps) 1) into (cos eps)
0.372 * [backup-simplify]: Simplify (* (sin eps) 0) into 0
0.373 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify (+ (cos eps) 0) into (cos eps)
0.373 * [backup-simplify]: Simplify (/ (sin eps) (cos eps)) into (/ (sin eps) (cos eps))
0.373 * [taylor]: Taking taylor expansion of (tan (+ x eps)) in x
0.373 * [taylor]: Rewrote expression to (/ (sin (+ x eps)) (cos (+ x eps)))
0.373 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.373 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.373 * [taylor]: Taking taylor expansion of x in x
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [taylor]: Taking taylor expansion of eps in x
0.373 * [backup-simplify]: Simplify eps into eps
0.373 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.373 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.373 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.373 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x
0.373 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.373 * [taylor]: Taking taylor expansion of x in x
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [taylor]: Taking taylor expansion of eps in x
0.373 * [backup-simplify]: Simplify eps into eps
0.373 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.373 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.373 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.373 * [backup-simplify]: Simplify (* (sin eps) 1) into (sin eps)
0.373 * [backup-simplify]: Simplify (* (cos eps) 0) into 0
0.373 * [backup-simplify]: Simplify (+ (sin eps) 0) into (sin eps)
0.373 * [backup-simplify]: Simplify (* (cos eps) 1) into (cos eps)
0.373 * [backup-simplify]: Simplify (* (sin eps) 0) into 0
0.374 * [backup-simplify]: Simplify (- 0) into 0
0.374 * [backup-simplify]: Simplify (+ (cos eps) 0) into (cos eps)
0.374 * [backup-simplify]: Simplify (/ (sin eps) (cos eps)) into (/ (sin eps) (cos eps))
0.374 * [taylor]: Taking taylor expansion of (/ (sin eps) (cos eps)) in eps
0.374 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.374 * [taylor]: Taking taylor expansion of eps in eps
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.374 * [taylor]: Taking taylor expansion of eps in eps
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.375 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [backup-simplify]: Simplify (+ 0) into 0
0.375 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (* 0 1)) into 0
0.376 * [backup-simplify]: Simplify (+ 1 0) into 1
0.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.376 * [backup-simplify]: Simplify (+ (* (cos eps) 1) (* 0 0)) into (cos eps)
0.376 * [backup-simplify]: Simplify (+ 0 (cos eps)) into (cos eps)
0.377 * [backup-simplify]: Simplify (+ 0) into 0
0.377 * [backup-simplify]: Simplify (+ (* (cos eps) 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (+ 1 0) into 1
0.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.378 * [backup-simplify]: Simplify (+ (* (sin eps) 1) (* 0 0)) into (sin eps)
0.378 * [backup-simplify]: Simplify (- (sin eps)) into (- (sin eps))
0.378 * [backup-simplify]: Simplify (+ 0 (- (sin eps))) into (- (sin eps))
0.379 * [backup-simplify]: Simplify (- (/ (cos eps) (cos eps)) (+ (* (/ (sin eps) (cos eps)) (/ (- (sin eps)) (cos eps))))) into (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) 1)
0.379 * [taylor]: Taking taylor expansion of (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) 1) in eps
0.379 * [taylor]: Taking taylor expansion of (/ (pow (sin eps) 2) (pow (cos eps) 2)) in eps
0.379 * [taylor]: Taking taylor expansion of (pow (sin eps) 2) in eps
0.379 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.379 * [taylor]: Taking taylor expansion of eps in eps
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.380 * [taylor]: Taking taylor expansion of (pow (cos eps) 2) in eps
0.380 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.380 * [taylor]: Taking taylor expansion of eps in eps
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (* 1 1) into 1
0.380 * [backup-simplify]: Simplify (* 1 1) into 1
0.380 * [backup-simplify]: Simplify (/ 1 1) into 1
0.380 * [taylor]: Taking taylor expansion of 1 in eps
0.380 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (+ 0 1) into 1
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.382 * [backup-simplify]: Simplify (+ (* (sin eps) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin eps)))
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.383 * [backup-simplify]: Simplify (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0
0.383 * [backup-simplify]: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps)))
0.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.385 * [backup-simplify]: Simplify (+ (* (cos eps) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos eps)))
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.387 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (+ (* 0 1) (* 0 0))) into 0
0.387 * [backup-simplify]: Simplify (- 0) into 0
0.387 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos eps))) 0) into (- (* 1/2 (cos eps)))
0.388 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (sin eps))) (cos eps)) (+ (* (/ (sin eps) (cos eps)) (/ (- (* 1/2 (cos eps))) (cos eps))) (* (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) 1) (/ (- (sin eps)) (cos eps))))) into (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps)))
0.388 * [taylor]: Taking taylor expansion of (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) in eps
0.388 * [taylor]: Taking taylor expansion of (/ (pow (sin eps) 3) (pow (cos eps) 3)) in eps
0.388 * [taylor]: Taking taylor expansion of (pow (sin eps) 3) in eps
0.388 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.388 * [taylor]: Taking taylor expansion of eps in eps
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.389 * [taylor]: Taking taylor expansion of (pow (cos eps) 3) in eps
0.389 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.389 * [taylor]: Taking taylor expansion of eps in eps
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (* 1 1) into 1
0.389 * [backup-simplify]: Simplify (* 1 1) into 1
0.390 * [backup-simplify]: Simplify (* 1 1) into 1
0.390 * [backup-simplify]: Simplify (* 1 1) into 1
0.390 * [backup-simplify]: Simplify (/ 1 1) into 1
0.390 * [taylor]: Taking taylor expansion of (/ (sin eps) (cos eps)) in eps
0.390 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.390 * [taylor]: Taking taylor expansion of eps in eps
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.390 * [taylor]: Taking taylor expansion of eps in eps
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.391 * [backup-simplify]: Simplify (/ 1 1) into 1
0.391 * [backup-simplify]: Simplify (+ 0 0) into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.392 * [backup-simplify]: Simplify (+ 0) into 0
0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.394 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ 0 0) into 0
0.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.396 * [backup-simplify]: Simplify (+ (* (cos eps) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps)))
0.396 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps)))
0.396 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.397 * [backup-simplify]: Simplify (+ (* (cos eps) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.399 * [backup-simplify]: Simplify (+ (* (sin eps) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin eps)))
0.399 * [backup-simplify]: Simplify (- (- (* 1/6 (sin eps)))) into (* 1/6 (sin eps))
0.399 * [backup-simplify]: Simplify (+ 0 (* 1/6 (sin eps))) into (* 1/6 (sin eps))
0.400 * [backup-simplify]: Simplify (- (/ (- (* 1/6 (cos eps))) (cos eps)) (+ (* (/ (sin eps) (cos eps)) (/ (* 1/6 (sin eps)) (cos eps))) (* (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) 1) (/ (- (* 1/2 (cos eps))) (cos eps))) (* (+ (/ (pow (sin eps) 3) (pow (cos eps) 3)) (/ (sin eps) (cos eps))) (/ (- (sin eps)) (cos eps))))) into (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (+ (* 4/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) 1/3))
0.400 * [taylor]: Taking taylor expansion of (+ (/ (pow (sin eps) 4) (pow (cos eps) 4)) (+ (* 4/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) 1/3)) in eps
0.400 * [taylor]: Taking taylor expansion of (/ (pow (sin eps) 4) (pow (cos eps) 4)) in eps
0.400 * [taylor]: Taking taylor expansion of (pow (sin eps) 4) in eps
0.400 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.400 * [taylor]: Taking taylor expansion of eps in eps
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 1 into 1
0.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.401 * [taylor]: Taking taylor expansion of (pow (cos eps) 4) in eps
0.401 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.401 * [taylor]: Taking taylor expansion of eps in eps
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 1 into 1
0.401 * [backup-simplify]: Simplify (* 1 1) into 1
0.401 * [backup-simplify]: Simplify (* 1 1) into 1
0.402 * [backup-simplify]: Simplify (* 1 1) into 1
0.402 * [backup-simplify]: Simplify (* 1 1) into 1
0.402 * [backup-simplify]: Simplify (/ 1 1) into 1
0.402 * [taylor]: Taking taylor expansion of (+ (* 4/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) 1/3) in eps
0.402 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) in eps
0.402 * [taylor]: Taking taylor expansion of 4/3 in eps
0.402 * [backup-simplify]: Simplify 4/3 into 4/3
0.402 * [taylor]: Taking taylor expansion of (/ (pow (sin eps) 2) (pow (cos eps) 2)) in eps
0.402 * [taylor]: Taking taylor expansion of (pow (sin eps) 2) in eps
0.402 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.402 * [taylor]: Taking taylor expansion of eps in eps
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.403 * [taylor]: Taking taylor expansion of (pow (cos eps) 2) in eps
0.403 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.403 * [taylor]: Taking taylor expansion of eps in eps
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.403 * [backup-simplify]: Simplify (/ 1 1) into 1
0.403 * [taylor]: Taking taylor expansion of 1/3 in eps
0.403 * [backup-simplify]: Simplify 1/3 into 1/3
0.404 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
0.404 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
0.404 * [backup-simplify]: Simplify 1/3 into 1/3