0.338 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.031 * * * [progress]: [2/2] Setting up program.
0.033 * [progress]: [Phase 2 of 3] Improving.
0.033 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.033 * * [simplify]: Extracting # 0 : cost  0
0.033 * * [simplify]: Extracting # 1 : cost  0
0.033 * * [simplify]: Extracting # 2 : cost  0
0.033 * * [simplify]: Extracting # 3 : cost  0
0.033 * * [simplify]: Extracting # 4 : cost  0
0.034 * * [simplify]: Extracting # 5 : cost  0
0.034 * * [simplify]: iteration  0 :  6  enodes  (cost  7 )
0.034 * * [simplify]: Extracting # 0 : cost  0
0.034 * * [simplify]: Extracting # 1 : cost  0
0.034 * * [simplify]: Extracting # 2 : cost  0
0.034 * * [simplify]: iteration  1 :  9  enodes  (cost  7 )
0.035 * * [simplify]: Extracting # 0 : cost  0
0.035 * * [simplify]: iteration  2 :  10  enodes  (cost  7 )
0.037 * * [simplify]: Extracting # 0 : cost  0
0.037 * * [simplify]: iteration done:  10  enodes  (cost  7 )
0.037 * [simplify]: Simplified to:
  (- (atan (+ N 1.0)) (atan N))
0.037 * * [progress]: iteration 1 / 4
0.037 * * * [progress]: picking best candidate
0.039 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.039 * * * [progress]: localizing error
0.051 * * * [progress]: generating rewritten candidates
0.052 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.063 * * * [progress]: generating series expansions
0.063 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.063 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.063 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.063 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.064 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.065 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.065 * [taylor]: Taking taylor expansion of (atan N) in N
0.066 * [backup-simplify]: Simplify (atan N) into (atan N)
0.066 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.066 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.066 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.066 * [taylor]: Taking taylor expansion of (atan N) in N
0.066 * [backup-simplify]: Simplify (atan N) into (atan N)
0.066 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.066 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.066 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.067 * [backup-simplify]: Simplify (- 0) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- 0) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (- 0) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (- 0) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.072 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.072 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.072 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.072 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.072 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.072 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.072 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.072 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.072 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.072 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.072 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.072 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.073 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.073 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.073 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (- 0) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.078 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.078 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.078 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.078 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.078 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.078 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.078 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.078 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.078 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.078 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.079 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.079 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.079 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.079 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.079 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.080 * [backup-simplify]: Simplify (- 0) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (- 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (- 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (- 0) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (- 0) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (- 0) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.084 * * * [progress]: simplifying candidates
0.085 * [simplify]: Simplifying:
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.085 * * [simplify]: Extracting # 0 : cost  0
0.085 * * [simplify]: Extracting # 1 : cost  0
0.086 * * [simplify]: Extracting # 2 : cost  0
0.086 * * [simplify]: Extracting # 3 : cost  0
0.086 * * [simplify]: Extracting # 4 : cost  0
0.086 * * [simplify]: Extracting # 5 : cost  0
0.086 * * [simplify]: Extracting # 6 : cost  0
0.086 * * [simplify]: iteration  0 :  36  enodes  (cost  209 )
0.110 * * [simplify]: Extracting # 0 : cost  0
0.110 * * [simplify]: Extracting # 1 : cost  0
0.110 * * [simplify]: Extracting # 2 : cost  0
0.110 * * [simplify]: Extracting # 3 : cost  0
0.111 * * [simplify]: Extracting # 4 : cost  0
0.111 * * [simplify]: iteration  1 :  73  enodes  (cost  205 )
0.125 * * [simplify]: Extracting # 0 : cost  0
0.125 * * [simplify]: Extracting # 1 : cost  0
0.125 * * [simplify]: Extracting # 2 : cost  0
0.125 * * [simplify]: Extracting # 3 : cost  0
0.125 * * [simplify]: Extracting # 4 : cost  0
0.125 * * [simplify]: iteration  2 :  143  enodes  (cost  191 )
0.154 * * [simplify]: Extracting # 0 : cost  0
0.154 * * [simplify]: Extracting # 1 : cost  0
0.154 * * [simplify]: Extracting # 2 : cost  0
0.154 * * [simplify]: Extracting # 3 : cost  0
0.155 * * [simplify]: iteration  3 :  267  enodes  (cost  187 )
0.222 * * [simplify]: Extracting # 0 : cost  0
0.223 * * [simplify]: Extracting # 1 : cost  0
0.225 * * [simplify]: Extracting # 2 : cost  0
0.225 * * [simplify]: Extracting # 3 : cost  0
0.226 * * [simplify]: Extracting # 4 : cost  0
0.227 * * [simplify]: iteration  4 :  533  enodes  (cost  185 )
0.456 * * [simplify]: Extracting # 0 : cost  0
0.457 * * [simplify]: Extracting # 1 : cost  0
0.459 * * [simplify]: Extracting # 2 : cost  0
0.461 * * [simplify]: Extracting # 3 : cost  0
0.464 * * [simplify]: iteration  5 :  1495  enodes  (cost  185 )
1.525 * * [simplify]: Extracting # 0 : cost  0
1.530 * * [simplify]: Extracting # 1 : cost  0
1.538 * * [simplify]: Extracting # 2 : cost  0
1.543 * * [simplify]: Extracting # 3 : cost  0
1.548 * * [simplify]: Extracting # 4 : cost  0
1.553 * * [simplify]: Extracting # 5 : cost  0
1.557 * * [simplify]: iteration done:  5000  enodes  (cost  185 )
1.558 * [simplify]: Simplified to:
  1.0
  (+ 1 (* (+ N 1.0) N))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (pow (- (atan (+ N 1.0)) (atan N)) 3)
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
1.558 * * * [progress]: adding candidates to table
1.590 * * [progress]: iteration 2 / 4
1.590 * * * [progress]: picking best candidate
1.592 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
1.592 * * * [progress]: localizing error
1.598 * * * [progress]: generating rewritten candidates
1.599 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.599 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
1.620 * * * [progress]: generating series expansions
1.620 * * * * [progress]: [ 1 / 2 ] generating series at (2)