45.087 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.034 * * * [progress]: [2/2] Setting up program.
0.038 * [progress]: [Phase 2 of 3] Improving.
0.038 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.038 * * [simplify]: iteration 0: 6 enodes
0.039 * * [simplify]: iteration 1: 9 enodes
0.041 * * [simplify]: iteration 2: 10 enodes
0.042 * * [simplify]: iteration complete: 10 enodes
0.042 * * [simplify]: Extracting #0: cost 1 inf + 0
0.042 * * [simplify]: Extracting #1: cost 4 inf + 0
0.042 * * [simplify]: Extracting #2: cost 6 inf + 0
0.042 * * [simplify]: Extracting #3: cost 6 inf + 1
0.042 * * [simplify]: Extracting #4: cost 0 inf + 735
0.042 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.043 * * [progress]: iteration 1 / 4
0.043 * * * [progress]: picking best candidate
0.046 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.046 * * * [progress]: localizing error
0.056 * * * [progress]: generating rewritten candidates
0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.063 * * * [progress]: generating series expansions
0.063 * * * * [progress]: [ 1 / 2 ] 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
0.064 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.064 * [taylor]: Taking taylor expansion of (atan N) in N
0.064 * [backup-simplify]: Simplify (atan N) into (atan N)
0.064 * [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
0.064 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.064 * [taylor]: Taking taylor expansion of (atan N) in N
0.064 * [backup-simplify]: Simplify (atan N) into (atan N)
0.064 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.064 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.064 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.065 * [backup-simplify]: Simplify (- 0) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (- 0) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify (- 0) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify (- 0) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
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
0.067 * [backup-simplify]: Simplify (- 0) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.068 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.068 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.068 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.068 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.068 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.068 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.068 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.068 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.068 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.068 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.068 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.068 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.069 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.069 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.069 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
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
0.070 * [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
0.072 * [backup-simplify]: Simplify (- 0) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (- 0) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.074 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.074 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.074 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.074 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.074 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.074 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.074 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.074 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.074 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.074 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.074 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.075 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.075 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.075 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.075 * [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
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [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
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (- 0) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (- 0) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.080 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.080 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.080 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.080 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.080 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.080 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.080 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.080 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.080 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.080 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.081 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.081 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.081 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.081 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.081 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.081 * [backup-simplify]: Simplify 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 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.081 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.081 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.081 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.082 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.082 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.082 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.082 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.082 * * * [progress]: simplifying candidates
0.083 * [simplify]: Simplifying:
  (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (expm1 (- (atan (+ N 1.0)) (atan N)))
  (log1p (- (atan (+ N 1.0)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  (- (+ 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))
  (expm1 (atan (+ N 1.0)))
  (log1p (atan (+ N 1.0)))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.085 * * [simplify]: iteration 0: 66 enodes
0.124 * * [simplify]: iteration 1: 139 enodes
0.171 * * [simplify]: iteration 2: 286 enodes
0.295 * * [simplify]: iteration 3: 738 enodes
0.944 * * [simplify]: iteration 4: 2193 enodes
2.419 * * [simplify]: iteration complete: 5004 enodes
2.419 * * [simplify]: Extracting #0: cost 28 inf + 0
2.421 * * [simplify]: Extracting #1: cost 290 inf + 2
2.427 * * [simplify]: Extracting #2: cost 939 inf + 3006
2.449 * * [simplify]: Extracting #3: cost 1004 inf + 70377
2.517 * * [simplify]: Extracting #4: cost 388 inf + 388973
2.616 * * [simplify]: Extracting #5: cost 26 inf + 582614
2.745 * * [simplify]: Extracting #6: cost 0 inf + 595825
2.860 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (expm1 (- (atan (+ 1.0 N)) (atan N)))
  (log1p (- (atan (+ 1.0 N)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  1.0
  (fma N (+ 1.0 N) 1)
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (log (- (atan (+ 1.0 N)) (atan N)))
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N))))
  (cbrt (- (atan (+ 1.0 N)) (atan N)))
  (* (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N))) (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (- (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N))) (* (* (atan N) (atan N)) (atan N)))
  (fma (atan N) (+ (atan (+ 1.0 N)) (atan N)) (* (atan (+ 1.0 N)) (atan (+ 1.0 N))))
  (- (atan N))
  (- (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (* (atan N) (atan N)))
  (+ (atan (+ 1.0 N)) (atan N))
  (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan N))
  (expm1 (atan (+ 1.0 N)))
  (log1p (atan (+ 1.0 N)))
  (log (atan (+ 1.0 N)))
  (exp (atan (+ 1.0 N)))
  (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))
  (cbrt (atan (+ 1.0 N)))
  (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N)))
  (sqrt (atan (+ 1.0 N)))
  (sqrt (atan (+ 1.0 N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (atan (+ 1.0 N))
  (atan (+ 1.0 N))
  (atan (+ 1.0 N))
2.862 * * * [progress]: adding candidates to table
2.976 * * [progress]: iteration 2 / 4
2.976 * * * [progress]: picking best candidate
2.982 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>
2.982 * * * [progress]: localizing error
3.000 * * * [progress]: generating rewritten candidates
3.000 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
3.001 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
3.002 * * * [progress]: generating series expansions
3.002 * * * * [progress]: [ 1 / 2 ] generating series at (2)
3.002 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.002 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
3.002 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
3.002 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.002 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
3.002 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.003 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.003 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
3.003 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
3.003 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
3.003 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
3.003 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
3.004 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
3.004 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.005 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
3.005 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
3.005 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
3.005 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
3.005 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
3.005 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
3.005 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.006 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
3.006 * [backup-simplify]: Simplify (fma N (+ 1.0 N) 1) into (fma N (+ N 1.0) 1)
3.006 * [approximate]: Taking taylor expansion of (fma N (+ N 1.0) 1) in (N) around 0
3.006 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
3.006 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
3.006 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.006 * [taylor]: Taking taylor expansion of N in N
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify 1 into 1
3.006 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.006 * [taylor]: Taking taylor expansion of N in N
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify 1 into 1
3.006 * [taylor]: Taking taylor expansion of 1.0 in N
3.006 * [backup-simplify]: Simplify 1.0 into 1.0
3.006 * [taylor]: Taking taylor expansion of 1 in N
3.006 * [backup-simplify]: Simplify 1 into 1
3.007 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
3.007 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
3.007 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.007 * [taylor]: Taking taylor expansion of N in N
3.007 * [backup-simplify]: Simplify 0 into 0
3.007 * [backup-simplify]: Simplify 1 into 1
3.007 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.007 * [taylor]: Taking taylor expansion of N in N
3.007 * [backup-simplify]: Simplify 0 into 0
3.007 * [backup-simplify]: Simplify 1 into 1
3.007 * [taylor]: Taking taylor expansion of 1.0 in N
3.007 * [backup-simplify]: Simplify 1.0 into 1.0
3.007 * [taylor]: Taking taylor expansion of 1 in N
3.007 * [backup-simplify]: Simplify 1 into 1
3.008 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.008 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.009 * [backup-simplify]: Simplify (+ 0 1) into 1
3.009 * [backup-simplify]: Simplify 1 into 1
3.009 * [backup-simplify]: Simplify (+ 1 0) into 1
3.011 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.012 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.012 * [backup-simplify]: Simplify 1.0 into 1.0
3.012 * [backup-simplify]: Simplify (+ 0 0) into 0
3.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.013 * [backup-simplify]: Simplify (+ 1 0) into 1
3.013 * [backup-simplify]: Simplify 1 into 1
3.014 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (* 1.0 N) (+ (pow N 2) 1))
3.014 * [backup-simplify]: Simplify (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1) into (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)
3.014 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in (N) around 0
3.014 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
3.014 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
3.014 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
3.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.014 * [taylor]: Taking taylor expansion of N in N
3.014 * [backup-simplify]: Simplify 0 into 0
3.014 * [backup-simplify]: Simplify 1 into 1
3.015 * [backup-simplify]: Simplify (/ 1 1) into 1
3.015 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.015 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.015 * [taylor]: Taking taylor expansion of N in N
3.015 * [backup-simplify]: Simplify 0 into 0
3.015 * [backup-simplify]: Simplify 1 into 1
3.015 * [backup-simplify]: Simplify (/ 1 1) into 1
3.015 * [taylor]: Taking taylor expansion of 1.0 in N
3.015 * [backup-simplify]: Simplify 1.0 into 1.0
3.015 * [taylor]: Taking taylor expansion of 1 in N
3.015 * [backup-simplify]: Simplify 1 into 1
3.015 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
3.015 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
3.015 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
3.015 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.016 * [taylor]: Taking taylor expansion of N in N
3.016 * [backup-simplify]: Simplify 0 into 0
3.016 * [backup-simplify]: Simplify 1 into 1
3.016 * [backup-simplify]: Simplify (/ 1 1) into 1
3.016 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.016 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.016 * [taylor]: Taking taylor expansion of N in N
3.016 * [backup-simplify]: Simplify 0 into 0
3.016 * [backup-simplify]: Simplify 1 into 1
3.016 * [backup-simplify]: Simplify (/ 1 1) into 1
3.017 * [taylor]: Taking taylor expansion of 1.0 in N
3.017 * [backup-simplify]: Simplify 1.0 into 1.0
3.017 * [taylor]: Taking taylor expansion of 1 in N
3.017 * [backup-simplify]: Simplify 1 into 1
3.017 * [backup-simplify]: Simplify (+ 1 0) into 1
3.017 * [backup-simplify]: Simplify (* 1 1) into 1
3.018 * [backup-simplify]: Simplify (+ 1 0) into 1
3.018 * [backup-simplify]: Simplify 1 into 1
3.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.019 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.027 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
3.027 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.027 * [backup-simplify]: Simplify 1.0 into 1.0
3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify (+ 0 0) into 0
3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
3.031 * [backup-simplify]: Simplify (+ 0 1) into 1
3.031 * [backup-simplify]: Simplify 1 into 1
3.031 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (* 1.0 N) (+ (pow N 2) 1))
3.031 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)
3.031 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in (N) around 0
3.032 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
3.032 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
3.032 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
3.032 * [taylor]: Taking taylor expansion of (/ -1 N) in N
3.032 * [taylor]: Taking taylor expansion of -1 in N
3.032 * [backup-simplify]: Simplify -1 into -1
3.032 * [taylor]: Taking taylor expansion of N in N
3.032 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify 1 into 1
3.032 * [backup-simplify]: Simplify (/ -1 1) into -1
3.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.032 * [taylor]: Taking taylor expansion of 1.0 in N
3.032 * [backup-simplify]: Simplify 1.0 into 1.0
3.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.032 * [taylor]: Taking taylor expansion of N in N
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 1 into 1
3.033 * [backup-simplify]: Simplify (/ 1 1) into 1
3.033 * [taylor]: Taking taylor expansion of 1 in N
3.033 * [backup-simplify]: Simplify 1 into 1
3.033 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
3.033 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
3.033 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
3.033 * [taylor]: Taking taylor expansion of (/ -1 N) in N
3.033 * [taylor]: Taking taylor expansion of -1 in N
3.033 * [backup-simplify]: Simplify -1 into -1
3.033 * [taylor]: Taking taylor expansion of N in N
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 1 into 1
3.034 * [backup-simplify]: Simplify (/ -1 1) into -1
3.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.034 * [taylor]: Taking taylor expansion of 1.0 in N
3.034 * [backup-simplify]: Simplify 1.0 into 1.0
3.034 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.034 * [taylor]: Taking taylor expansion of N in N
3.034 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify 1 into 1
3.034 * [backup-simplify]: Simplify (/ 1 1) into 1
3.034 * [taylor]: Taking taylor expansion of 1 in N
3.034 * [backup-simplify]: Simplify 1 into 1
3.035 * [backup-simplify]: Simplify (- 1) into -1
3.035 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.035 * [backup-simplify]: Simplify (* -1 -1) into 1
3.036 * [backup-simplify]: Simplify (+ 1 0) into 1
3.036 * [backup-simplify]: Simplify 1 into 1
3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.037 * [backup-simplify]: Simplify (- 0) into 0
3.037 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.040 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
3.040 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
3.041 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.042 * [backup-simplify]: Simplify (- 0) into 0
3.042 * [backup-simplify]: Simplify (+ 0 0) into 0
3.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.044 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
3.045 * [backup-simplify]: Simplify (+ 0 1) into 1
3.045 * [backup-simplify]: Simplify 1 into 1
3.045 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (* 1.0 N) (+ (pow N 2) 1))
3.046 * * * [progress]: simplifying candidates
3.046 * [simplify]: Simplifying:
  (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log1p (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (exp (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (expm1 (fma N (+ 1.0 N) 1))
  (log1p (fma N (+ 1.0 N) 1))
  (* N (+ 1.0 N))
  (log (fma N (+ 1.0 N) 1))
  (exp (fma N (+ 1.0 N) 1))
  (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (fma N (+ 1.0 N) 1))
  (* (* (fma N (+ 1.0 N) 1) (fma N (+ 1.0 N) 1)) (fma N (+ 1.0 N) 1))
  (sqrt (fma N (+ 1.0 N) 1))
  (sqrt (fma N (+ 1.0 N) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (+ (* 1.0 N) (+ (pow N 2) 1))
  (+ (* 1.0 N) (+ (pow N 2) 1))
  (+ (* 1.0 N) (+ (pow N 2) 1))
3.047 * * [simplify]: iteration 0: 33 enodes
3.059 * * [simplify]: iteration 1: 54 enodes
3.072 * * [simplify]: iteration 2: 121 enodes
3.117 * * [simplify]: iteration 3: 442 enodes
3.745 * * [simplify]: iteration 4: 2753 enodes
5.682 * * [simplify]: iteration complete: 5000 enodes
5.683 * * [simplify]: Extracting #0: cost 19 inf + 0
5.683 * * [simplify]: Extracting #1: cost 110 inf + 0
5.687 * * [simplify]: Extracting #2: cost 563 inf + 316
5.697 * * [simplify]: Extracting #3: cost 484 inf + 25812
5.747 * * [simplify]: Extracting #4: cost 60 inf + 120082
5.815 * * [simplify]: Extracting #5: cost 0 inf + 134374
5.886 * * [simplify]: Extracting #6: cost 0 inf + 134219
5.955 * [simplify]: Simplified to:
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (expm1 (fma (+ N 1.0) N 1))
  (log1p (fma (+ N 1.0) N 1))
  (* (+ N 1.0) N)
  (log (fma (+ N 1.0) N 1))
  (exp (fma (+ N 1.0) N 1))
  (* (cbrt (fma (+ N 1.0) N 1)) (cbrt (fma (+ N 1.0) N 1)))
  (cbrt (fma (+ N 1.0) N 1))
  (* (* (fma (+ N 1.0) N 1) (fma (+ N 1.0) N 1)) (fma (+ N 1.0) N 1))
  (sqrt (fma (+ N 1.0) N 1))
  (sqrt (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (fma (+ N 1.0) N 1)
  (fma (+ N 1.0) N 1)
  (fma (+ N 1.0) N 1)
5.956 * * * [progress]: adding candidates to table
6.040 * * [progress]: iteration 3 / 4
6.040 * * * [progress]: picking best candidate
6.056 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))>
6.057 * * * [progress]: localizing error
6.085 * * * [progress]: generating rewritten candidates
6.085 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
6.086 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
6.087 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
6.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
6.088 * * * [progress]: generating series expansions
6.088 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
6.088 * [backup-simplify]: Simplify (cbrt (fma N (+ 1.0 N) 1)) into (pow (fma N (+ N 1.0) 1) 1/3)
6.089 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0
6.089 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
6.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
6.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
6.089 * [taylor]: Taking taylor expansion of 1/3 in N
6.089 * [backup-simplify]: Simplify 1/3 into 1/3
6.089 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
6.089 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
6.089 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
6.089 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.089 * [taylor]: Taking taylor expansion of N in N
6.089 * [backup-simplify]: Simplify 0 into 0
6.089 * [backup-simplify]: Simplify 1 into 1
6.089 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.089 * [taylor]: Taking taylor expansion of N in N
6.089 * [backup-simplify]: Simplify 0 into 0
6.089 * [backup-simplify]: Simplify 1 into 1
6.089 * [taylor]: Taking taylor expansion of 1.0 in N
6.089 * [backup-simplify]: Simplify 1.0 into 1.0
6.089 * [taylor]: Taking taylor expansion of 1 in N
6.089 * [backup-simplify]: Simplify 1 into 1
6.089 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.090 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.090 * [backup-simplify]: Simplify (+ 0 1) into 1
6.090 * [backup-simplify]: Simplify (log 1) into 0
6.091 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.091 * [backup-simplify]: Simplify (+ 1 0) into 1
6.092 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.092 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.097 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
6.097 * [backup-simplify]: Simplify (exp 0) into 1
6.097 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
6.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
6.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
6.097 * [taylor]: Taking taylor expansion of 1/3 in N
6.097 * [backup-simplify]: Simplify 1/3 into 1/3
6.097 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
6.097 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
6.097 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
6.097 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.097 * [taylor]: Taking taylor expansion of N in N
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify 1 into 1
6.097 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.097 * [taylor]: Taking taylor expansion of N in N
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify 1 into 1
6.097 * [taylor]: Taking taylor expansion of 1.0 in N
6.097 * [backup-simplify]: Simplify 1.0 into 1.0
6.097 * [taylor]: Taking taylor expansion of 1 in N
6.097 * [backup-simplify]: Simplify 1 into 1
6.098 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.098 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.098 * [backup-simplify]: Simplify (+ 0 1) into 1
6.098 * [backup-simplify]: Simplify (log 1) into 0
6.099 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.099 * [backup-simplify]: Simplify (+ 1 0) into 1
6.100 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.100 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.104 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
6.104 * [backup-simplify]: Simplify (exp 0) into 1
6.105 * [backup-simplify]: Simplify 1 into 1
6.107 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333
6.107 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
6.107 * [backup-simplify]: Simplify (+ 0 0) into 0
6.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
6.112 * [backup-simplify]: Simplify (+ 1 0) into 1
6.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
6.119 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666
6.123 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222
6.123 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222
6.123 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
6.123 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3)
6.123 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0
6.123 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
6.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
6.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.123 * [taylor]: Taking taylor expansion of 1/3 in N
6.123 * [backup-simplify]: Simplify 1/3 into 1/3
6.123 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.123 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
6.123 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
6.123 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
6.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.123 * [taylor]: Taking taylor expansion of N in N
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 1 into 1
6.124 * [backup-simplify]: Simplify (/ 1 1) into 1
6.124 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.124 * [taylor]: Taking taylor expansion of N in N
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify 1 into 1
6.124 * [backup-simplify]: Simplify (/ 1 1) into 1
6.124 * [taylor]: Taking taylor expansion of 1.0 in N
6.124 * [backup-simplify]: Simplify 1.0 into 1.0
6.124 * [taylor]: Taking taylor expansion of 1 in N
6.124 * [backup-simplify]: Simplify 1 into 1
6.124 * [backup-simplify]: Simplify (+ 1 0) into 1
6.125 * [backup-simplify]: Simplify (* 1 1) into 1
6.125 * [backup-simplify]: Simplify (+ 1 0) into 1
6.125 * [backup-simplify]: Simplify (log 1) into 0
6.125 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.125 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.126 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.126 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
6.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
6.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.126 * [taylor]: Taking taylor expansion of 1/3 in N
6.126 * [backup-simplify]: Simplify 1/3 into 1/3
6.126 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.126 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
6.126 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
6.126 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
6.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.126 * [taylor]: Taking taylor expansion of N in N
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 1 into 1
6.126 * [backup-simplify]: Simplify (/ 1 1) into 1
6.126 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.126 * [taylor]: Taking taylor expansion of N in N
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 1 into 1
6.127 * [backup-simplify]: Simplify (/ 1 1) into 1
6.127 * [taylor]: Taking taylor expansion of 1.0 in N
6.127 * [backup-simplify]: Simplify 1.0 into 1.0
6.127 * [taylor]: Taking taylor expansion of 1 in N
6.127 * [backup-simplify]: Simplify 1 into 1
6.127 * [backup-simplify]: Simplify (+ 1 0) into 1
6.127 * [backup-simplify]: Simplify (* 1 1) into 1
6.127 * [backup-simplify]: Simplify (+ 1 0) into 1
6.128 * [backup-simplify]: Simplify (log 1) into 0
6.128 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.128 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.128 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.128 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.130 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
6.131 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.135 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.135 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
6.136 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.136 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.137 * [backup-simplify]: Simplify (+ 0 0) into 0
6.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
6.139 * [backup-simplify]: Simplify (+ 0 1) into 1
6.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
6.145 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.145 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
6.148 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.148 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.149 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
6.149 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3)
6.149 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0
6.149 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
6.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
6.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.149 * [taylor]: Taking taylor expansion of 1/3 in N
6.149 * [backup-simplify]: Simplify 1/3 into 1/3
6.149 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.149 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
6.149 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
6.149 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
6.149 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.149 * [taylor]: Taking taylor expansion of -1 in N
6.149 * [backup-simplify]: Simplify -1 into -1
6.149 * [taylor]: Taking taylor expansion of N in N
6.149 * [backup-simplify]: Simplify 0 into 0
6.149 * [backup-simplify]: Simplify 1 into 1
6.150 * [backup-simplify]: Simplify (/ -1 1) into -1
6.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.150 * [taylor]: Taking taylor expansion of 1.0 in N
6.150 * [backup-simplify]: Simplify 1.0 into 1.0
6.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.150 * [taylor]: Taking taylor expansion of N in N
6.150 * [backup-simplify]: Simplify 0 into 0
6.150 * [backup-simplify]: Simplify 1 into 1
6.150 * [backup-simplify]: Simplify (/ 1 1) into 1
6.150 * [taylor]: Taking taylor expansion of 1 in N
6.150 * [backup-simplify]: Simplify 1 into 1
6.150 * [backup-simplify]: Simplify (- 1) into -1
6.151 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.151 * [backup-simplify]: Simplify (* -1 -1) into 1
6.151 * [backup-simplify]: Simplify (+ 1 0) into 1
6.151 * [backup-simplify]: Simplify (log 1) into 0
6.152 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.152 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.152 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.152 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
6.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
6.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.152 * [taylor]: Taking taylor expansion of 1/3 in N
6.152 * [backup-simplify]: Simplify 1/3 into 1/3
6.152 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.152 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
6.152 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
6.152 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
6.152 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.152 * [taylor]: Taking taylor expansion of -1 in N
6.152 * [backup-simplify]: Simplify -1 into -1
6.152 * [taylor]: Taking taylor expansion of N in N
6.152 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify 1 into 1
6.152 * [backup-simplify]: Simplify (/ -1 1) into -1
6.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.152 * [taylor]: Taking taylor expansion of 1.0 in N
6.152 * [backup-simplify]: Simplify 1.0 into 1.0
6.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.153 * [taylor]: Taking taylor expansion of N in N
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify 1 into 1
6.153 * [backup-simplify]: Simplify (/ 1 1) into 1
6.153 * [taylor]: Taking taylor expansion of 1 in N
6.153 * [backup-simplify]: Simplify 1 into 1
6.153 * [backup-simplify]: Simplify (- 1) into -1
6.153 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.154 * [backup-simplify]: Simplify (* -1 -1) into 1
6.154 * [backup-simplify]: Simplify (+ 1 0) into 1
6.154 * [backup-simplify]: Simplify (log 1) into 0
6.154 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.154 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.154 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.155 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.155 * [backup-simplify]: Simplify (- 0) into 0
6.156 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.157 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
6.157 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
6.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
6.162 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.162 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333)
6.164 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.164 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.165 * [backup-simplify]: Simplify (- 0) into 0
6.165 * [backup-simplify]: Simplify (+ 0 0) into 0
6.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.167 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
6.167 * [backup-simplify]: Simplify (+ 0 1) into 1
6.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
6.174 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.174 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
6.178 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.178 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.179 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
6.179 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
6.179 * [backup-simplify]: Simplify (cbrt (fma N (+ 1.0 N) 1)) into (pow (fma N (+ N 1.0) 1) 1/3)
6.179 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0
6.179 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
6.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
6.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
6.179 * [taylor]: Taking taylor expansion of 1/3 in N
6.179 * [backup-simplify]: Simplify 1/3 into 1/3
6.179 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
6.179 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
6.179 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
6.179 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.179 * [taylor]: Taking taylor expansion of N in N
6.179 * [backup-simplify]: Simplify 0 into 0
6.179 * [backup-simplify]: Simplify 1 into 1
6.179 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.179 * [taylor]: Taking taylor expansion of N in N
6.179 * [backup-simplify]: Simplify 0 into 0
6.179 * [backup-simplify]: Simplify 1 into 1
6.179 * [taylor]: Taking taylor expansion of 1.0 in N
6.179 * [backup-simplify]: Simplify 1.0 into 1.0
6.179 * [taylor]: Taking taylor expansion of 1 in N
6.179 * [backup-simplify]: Simplify 1 into 1
6.180 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.180 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.180 * [backup-simplify]: Simplify (+ 0 1) into 1
6.180 * [backup-simplify]: Simplify (log 1) into 0
6.181 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.181 * [backup-simplify]: Simplify (+ 1 0) into 1
6.182 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.182 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.187 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
6.187 * [backup-simplify]: Simplify (exp 0) into 1
6.187 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
6.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
6.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
6.187 * [taylor]: Taking taylor expansion of 1/3 in N
6.187 * [backup-simplify]: Simplify 1/3 into 1/3
6.187 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
6.187 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
6.187 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
6.187 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.187 * [taylor]: Taking taylor expansion of N in N
6.187 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify 1 into 1
6.187 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.187 * [taylor]: Taking taylor expansion of N in N
6.187 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify 1 into 1
6.187 * [taylor]: Taking taylor expansion of 1.0 in N
6.187 * [backup-simplify]: Simplify 1.0 into 1.0
6.187 * [taylor]: Taking taylor expansion of 1 in N
6.187 * [backup-simplify]: Simplify 1 into 1
6.187 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.188 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.188 * [backup-simplify]: Simplify (+ 0 1) into 1
6.188 * [backup-simplify]: Simplify (log 1) into 0
6.189 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.189 * [backup-simplify]: Simplify (+ 1 0) into 1
6.190 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.190 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.200 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
6.200 * [backup-simplify]: Simplify (exp 0) into 1
6.200 * [backup-simplify]: Simplify 1 into 1
6.203 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333
6.203 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
6.203 * [backup-simplify]: Simplify (+ 0 0) into 0
6.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
6.204 * [backup-simplify]: Simplify (+ 1 0) into 1
6.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
6.211 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666
6.215 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222
6.215 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222
6.215 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
6.215 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3)
6.215 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0
6.215 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
6.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
6.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.215 * [taylor]: Taking taylor expansion of 1/3 in N
6.215 * [backup-simplify]: Simplify 1/3 into 1/3
6.215 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.215 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
6.216 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
6.216 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
6.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.216 * [taylor]: Taking taylor expansion of N in N
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 (+ (/ 1 N) 1.0) in N
6.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.216 * [taylor]: Taking taylor expansion of N in N
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 1.0 in N
6.216 * [backup-simplify]: Simplify 1.0 into 1.0
6.216 * [taylor]: Taking taylor expansion of 1 in N
6.216 * [backup-simplify]: Simplify 1 into 1
6.217 * [backup-simplify]: Simplify (+ 1 0) into 1
6.217 * [backup-simplify]: Simplify (* 1 1) into 1
6.217 * [backup-simplify]: Simplify (+ 1 0) into 1
6.217 * [backup-simplify]: Simplify (log 1) into 0
6.218 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.218 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.218 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.218 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
6.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
6.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.218 * [taylor]: Taking taylor expansion of 1/3 in N
6.218 * [backup-simplify]: Simplify 1/3 into 1/3
6.218 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.218 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
6.218 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
6.218 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
6.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.218 * [taylor]: Taking taylor expansion of N in N
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 1 into 1
6.218 * [backup-simplify]: Simplify (/ 1 1) into 1
6.218 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.218 * [taylor]: Taking taylor expansion of N in N
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 1 into 1
6.219 * [backup-simplify]: Simplify (/ 1 1) into 1
6.219 * [taylor]: Taking taylor expansion of 1.0 in N
6.219 * [backup-simplify]: Simplify 1.0 into 1.0
6.219 * [taylor]: Taking taylor expansion of 1 in N
6.219 * [backup-simplify]: Simplify 1 into 1
6.219 * [backup-simplify]: Simplify (+ 1 0) into 1
6.219 * [backup-simplify]: Simplify (* 1 1) into 1
6.219 * [backup-simplify]: Simplify (+ 1 0) into 1
6.220 * [backup-simplify]: Simplify (log 1) into 0
6.220 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.220 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.220 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.220 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.221 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.222 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
6.223 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.226 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.227 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
6.228 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.228 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.229 * [backup-simplify]: Simplify (+ 0 0) into 0
6.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
6.231 * [backup-simplify]: Simplify (+ 0 1) into 1
6.237 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
6.237 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.238 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
6.241 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.241 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.241 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
6.242 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3)
6.242 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0
6.242 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
6.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
6.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.242 * [taylor]: Taking taylor expansion of 1/3 in N
6.242 * [backup-simplify]: Simplify 1/3 into 1/3
6.242 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.242 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
6.242 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
6.242 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
6.242 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.242 * [taylor]: Taking taylor expansion of -1 in N
6.242 * [backup-simplify]: Simplify -1 into -1
6.242 * [taylor]: Taking taylor expansion of N in N
6.242 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify 1 into 1
6.242 * [backup-simplify]: Simplify (/ -1 1) into -1
6.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.242 * [taylor]: Taking taylor expansion of 1.0 in N
6.242 * [backup-simplify]: Simplify 1.0 into 1.0
6.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.243 * [taylor]: Taking taylor expansion of N in N
6.243 * [backup-simplify]: Simplify 0 into 0
6.243 * [backup-simplify]: Simplify 1 into 1
6.243 * [backup-simplify]: Simplify (/ 1 1) into 1
6.243 * [taylor]: Taking taylor expansion of 1 in N
6.243 * [backup-simplify]: Simplify 1 into 1
6.243 * [backup-simplify]: Simplify (- 1) into -1
6.243 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.244 * [backup-simplify]: Simplify (* -1 -1) into 1
6.244 * [backup-simplify]: Simplify (+ 1 0) into 1
6.244 * [backup-simplify]: Simplify (log 1) into 0
6.245 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.245 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.245 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.245 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
6.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
6.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.245 * [taylor]: Taking taylor expansion of 1/3 in N
6.245 * [backup-simplify]: Simplify 1/3 into 1/3
6.245 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.245 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
6.245 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
6.245 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
6.245 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.245 * [taylor]: Taking taylor expansion of -1 in N
6.245 * [backup-simplify]: Simplify -1 into -1
6.245 * [taylor]: Taking taylor expansion of N in N
6.245 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify 1 into 1
6.245 * [backup-simplify]: Simplify (/ -1 1) into -1
6.245 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.245 * [taylor]: Taking taylor expansion of 1.0 in N
6.245 * [backup-simplify]: Simplify 1.0 into 1.0
6.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.246 * [taylor]: Taking taylor expansion of N in N
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.246 * [backup-simplify]: Simplify (/ 1 1) into 1
6.246 * [taylor]: Taking taylor expansion of 1 in N
6.246 * [backup-simplify]: Simplify 1 into 1
6.246 * [backup-simplify]: Simplify (- 1) into -1
6.246 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.247 * [backup-simplify]: Simplify (* -1 -1) into 1
6.247 * [backup-simplify]: Simplify (+ 1 0) into 1
6.247 * [backup-simplify]: Simplify (log 1) into 0
6.247 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.248 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.248 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.248 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.249 * [backup-simplify]: Simplify (- 0) into 0
6.249 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.250 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
6.251 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
6.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
6.256 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.256 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333)
6.258 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.258 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.259 * [backup-simplify]: Simplify (- 0) into 0
6.259 * [backup-simplify]: Simplify (+ 0 0) into 0
6.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.261 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
6.261 * [backup-simplify]: Simplify (+ 0 1) into 1
6.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
6.270 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.270 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
6.273 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.274 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.274 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
6.274 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
6.274 * [backup-simplify]: Simplify (cbrt (fma N (+ 1.0 N) 1)) into (pow (fma N (+ N 1.0) 1) 1/3)
6.274 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0
6.274 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
6.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
6.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
6.274 * [taylor]: Taking taylor expansion of 1/3 in N
6.274 * [backup-simplify]: Simplify 1/3 into 1/3
6.274 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
6.275 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
6.275 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
6.275 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.275 * [taylor]: Taking taylor expansion of N in N
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 1 into 1
6.275 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.275 * [taylor]: Taking taylor expansion of N in N
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 1 into 1
6.275 * [taylor]: Taking taylor expansion of 1.0 in N
6.275 * [backup-simplify]: Simplify 1.0 into 1.0
6.275 * [taylor]: Taking taylor expansion of 1 in N
6.275 * [backup-simplify]: Simplify 1 into 1
6.275 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.275 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.276 * [backup-simplify]: Simplify (+ 0 1) into 1
6.276 * [backup-simplify]: Simplify (log 1) into 0
6.276 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.276 * [backup-simplify]: Simplify (+ 1 0) into 1
6.277 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.278 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.282 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
6.282 * [backup-simplify]: Simplify (exp 0) into 1
6.282 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
6.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
6.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
6.282 * [taylor]: Taking taylor expansion of 1/3 in N
6.282 * [backup-simplify]: Simplify 1/3 into 1/3
6.282 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
6.282 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
6.282 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
6.282 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.282 * [taylor]: Taking taylor expansion of N in N
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 1 into 1
6.283 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.283 * [taylor]: Taking taylor expansion of N in N
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [backup-simplify]: Simplify 1 into 1
6.283 * [taylor]: Taking taylor expansion of 1.0 in N
6.283 * [backup-simplify]: Simplify 1.0 into 1.0
6.283 * [taylor]: Taking taylor expansion of 1 in N
6.283 * [backup-simplify]: Simplify 1 into 1
6.283 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.283 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.283 * [backup-simplify]: Simplify (+ 0 1) into 1
6.284 * [backup-simplify]: Simplify (log 1) into 0
6.284 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.284 * [backup-simplify]: Simplify (+ 1 0) into 1
6.285 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.287 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.291 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
6.291 * [backup-simplify]: Simplify (exp 0) into 1
6.291 * [backup-simplify]: Simplify 1 into 1
6.293 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333
6.293 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
6.294 * [backup-simplify]: Simplify (+ 0 0) into 0
6.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
6.294 * [backup-simplify]: Simplify (+ 1 0) into 1
6.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
6.301 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666
6.305 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222
6.305 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222
6.305 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
6.305 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3)
6.305 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0
6.305 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
6.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
6.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.305 * [taylor]: Taking taylor expansion of 1/3 in N
6.305 * [backup-simplify]: Simplify 1/3 into 1/3
6.305 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.305 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
6.306 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
6.306 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
6.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.306 * [taylor]: Taking taylor expansion of N in N
6.306 * [backup-simplify]: Simplify 0 into 0
6.306 * [backup-simplify]: Simplify 1 into 1
6.306 * [backup-simplify]: Simplify (/ 1 1) into 1
6.306 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.306 * [taylor]: Taking taylor expansion of N in N
6.306 * [backup-simplify]: Simplify 0 into 0
6.306 * [backup-simplify]: Simplify 1 into 1
6.306 * [backup-simplify]: Simplify (/ 1 1) into 1
6.306 * [taylor]: Taking taylor expansion of 1.0 in N
6.306 * [backup-simplify]: Simplify 1.0 into 1.0
6.306 * [taylor]: Taking taylor expansion of 1 in N
6.306 * [backup-simplify]: Simplify 1 into 1
6.307 * [backup-simplify]: Simplify (+ 1 0) into 1
6.307 * [backup-simplify]: Simplify (* 1 1) into 1
6.307 * [backup-simplify]: Simplify (+ 1 0) into 1
6.307 * [backup-simplify]: Simplify (log 1) into 0
6.308 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.308 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.308 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.308 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
6.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
6.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.308 * [taylor]: Taking taylor expansion of 1/3 in N
6.308 * [backup-simplify]: Simplify 1/3 into 1/3
6.308 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.308 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
6.308 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
6.308 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
6.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.308 * [taylor]: Taking taylor expansion of N in N
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify 1 into 1
6.308 * [backup-simplify]: Simplify (/ 1 1) into 1
6.308 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.308 * [taylor]: Taking taylor expansion of N in N
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify 1 into 1
6.309 * [backup-simplify]: Simplify (/ 1 1) into 1
6.309 * [taylor]: Taking taylor expansion of 1.0 in N
6.309 * [backup-simplify]: Simplify 1.0 into 1.0
6.309 * [taylor]: Taking taylor expansion of 1 in N
6.309 * [backup-simplify]: Simplify 1 into 1
6.309 * [backup-simplify]: Simplify (+ 1 0) into 1
6.309 * [backup-simplify]: Simplify (* 1 1) into 1
6.309 * [backup-simplify]: Simplify (+ 1 0) into 1
6.310 * [backup-simplify]: Simplify (log 1) into 0
6.310 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.310 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.310 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.310 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.312 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
6.312 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.316 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.317 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
6.318 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.318 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.319 * [backup-simplify]: Simplify (+ 0 0) into 0
6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
6.320 * [backup-simplify]: Simplify (+ 0 1) into 1
6.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
6.326 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.327 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
6.330 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.330 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.331 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
6.331 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3)
6.331 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0
6.331 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
6.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
6.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.331 * [taylor]: Taking taylor expansion of 1/3 in N
6.331 * [backup-simplify]: Simplify 1/3 into 1/3
6.331 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.331 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
6.331 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
6.331 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
6.331 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.331 * [taylor]: Taking taylor expansion of -1 in N
6.331 * [backup-simplify]: Simplify -1 into -1
6.331 * [taylor]: Taking taylor expansion of N in N
6.331 * [backup-simplify]: Simplify 0 into 0
6.331 * [backup-simplify]: Simplify 1 into 1
6.331 * [backup-simplify]: Simplify (/ -1 1) into -1
6.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.332 * [taylor]: Taking taylor expansion of 1.0 in N
6.332 * [backup-simplify]: Simplify 1.0 into 1.0
6.332 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.332 * [taylor]: Taking taylor expansion of N in N
6.332 * [backup-simplify]: Simplify 0 into 0
6.332 * [backup-simplify]: Simplify 1 into 1
6.332 * [backup-simplify]: Simplify (/ 1 1) into 1
6.332 * [taylor]: Taking taylor expansion of 1 in N
6.332 * [backup-simplify]: Simplify 1 into 1
6.332 * [backup-simplify]: Simplify (- 1) into -1
6.332 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.333 * [backup-simplify]: Simplify (* -1 -1) into 1
6.333 * [backup-simplify]: Simplify (+ 1 0) into 1
6.333 * [backup-simplify]: Simplify (log 1) into 0
6.333 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.333 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.333 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.334 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
6.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
6.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.334 * [taylor]: Taking taylor expansion of 1/3 in N
6.334 * [backup-simplify]: Simplify 1/3 into 1/3
6.334 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.334 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
6.334 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
6.334 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
6.334 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.334 * [taylor]: Taking taylor expansion of -1 in N
6.334 * [backup-simplify]: Simplify -1 into -1
6.334 * [taylor]: Taking taylor expansion of N in N
6.334 * [backup-simplify]: Simplify 0 into 0
6.334 * [backup-simplify]: Simplify 1 into 1
6.334 * [backup-simplify]: Simplify (/ -1 1) into -1
6.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.334 * [taylor]: Taking taylor expansion of 1.0 in N
6.334 * [backup-simplify]: Simplify 1.0 into 1.0
6.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.334 * [taylor]: Taking taylor expansion of N in N
6.334 * [backup-simplify]: Simplify 0 into 0
6.334 * [backup-simplify]: Simplify 1 into 1
6.334 * [backup-simplify]: Simplify (/ 1 1) into 1
6.334 * [taylor]: Taking taylor expansion of 1 in N
6.335 * [backup-simplify]: Simplify 1 into 1
6.335 * [backup-simplify]: Simplify (- 1) into -1
6.335 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.335 * [backup-simplify]: Simplify (* -1 -1) into 1
6.335 * [backup-simplify]: Simplify (+ 1 0) into 1
6.336 * [backup-simplify]: Simplify (log 1) into 0
6.336 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.336 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.336 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.336 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.337 * [backup-simplify]: Simplify (- 0) into 0
6.337 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.339 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
6.339 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
6.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
6.343 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.344 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333)
6.346 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.346 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.347 * [backup-simplify]: Simplify (- 0) into 0
6.347 * [backup-simplify]: Simplify (+ 0 0) into 0
6.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
6.348 * [backup-simplify]: Simplify (+ 0 1) into 1
6.355 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
6.355 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.356 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
6.359 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.359 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
6.360 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
6.360 * * * * [progress]: [ 4 / 4 ] generating series at (2)
6.360 * [backup-simplify]: Simplify (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.360 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
6.360 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.360 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.360 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.360 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.360 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.361 * [backup-simplify]: Simplify (atan2 1.0 (* (* (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
6.361 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
6.361 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.361 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
6.361 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.361 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
6.361 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.362 * [backup-simplify]: Simplify (atan2 1.0 (* (* (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
6.362 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
6.362 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.362 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
6.362 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.362 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
6.362 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
6.362 * [backup-simplify]: Simplify 0 into 0
6.362 * [backup-simplify]: Simplify 0 into 0
6.362 * [backup-simplify]: Simplify 0 into 0
6.362 * [backup-simplify]: Simplify 0 into 0
6.362 * [backup-simplify]: Simplify 0 into 0
6.362 * [backup-simplify]: Simplify 0 into 0
6.362 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.363 * * * [progress]: simplifying candidates
6.363 * [simplify]: Simplifying:
  (expm1 (cbrt (fma N (+ 1.0 N) 1)))
  (log1p (cbrt (fma N (+ 1.0 N) 1)))
  (log (cbrt (fma N (+ 1.0 N) 1)))
  (exp (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1.0 N) 1))
  (* (cbrt (cbrt (fma N (+ 1.0 N) 1))) (cbrt (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (expm1 (cbrt (fma N (+ 1.0 N) 1)))
  (log1p (cbrt (fma N (+ 1.0 N) 1)))
  (log (cbrt (fma N (+ 1.0 N) 1)))
  (exp (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1.0 N) 1))
  (* (cbrt (cbrt (fma N (+ 1.0 N) 1))) (cbrt (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (expm1 (cbrt (fma N (+ 1.0 N) 1)))
  (log1p (cbrt (fma N (+ 1.0 N) 1)))
  (log (cbrt (fma N (+ 1.0 N) 1)))
  (exp (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1.0 N) 1))
  (* (cbrt (cbrt (fma N (+ 1.0 N) 1))) (cbrt (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (expm1 (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))
  (log1p (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))
  (log (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))
  (exp (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))
  (* (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1))))))
  (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))
  (* (* (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1))))) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))
  (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))
  (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))
  (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
6.364 * * [simplify]: iteration 0: 58 enodes
6.378 * * [simplify]: iteration 1: 107 enodes
6.402 * * [simplify]: iteration 2: 203 enodes
6.446 * * [simplify]: iteration 3: 424 enodes
6.548 * * [simplify]: iteration 4: 794 enodes
6.713 * * [simplify]: iteration 5: 1640 enodes
7.379 * * [simplify]: iteration 6: 3920 enodes
8.053 * * [simplify]: iteration complete: 5001 enodes
8.053 * * [simplify]: Extracting #0: cost 24 inf + 0
8.053 * * [simplify]: Extracting #1: cost 87 inf + 1
8.054 * * [simplify]: Extracting #2: cost 296 inf + 93
8.057 * * [simplify]: Extracting #3: cost 690 inf + 5039
8.066 * * [simplify]: Extracting #4: cost 722 inf + 32729
8.093 * * [simplify]: Extracting #5: cost 329 inf + 181672
8.137 * * [simplify]: Extracting #6: cost 39 inf + 375939
8.190 * * [simplify]: Extracting #7: cost 0 inf + 402138
8.243 * * [simplify]: Extracting #8: cost 0 inf + 401454
8.295 * [simplify]: Simplified to:
  (expm1 (cbrt (fma (+ 1.0 N) N 1)))
  (log1p (cbrt (fma (+ 1.0 N) N 1)))
  (log (cbrt (fma (+ 1.0 N) N 1)))
  (exp (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (* (cbrt (fma (+ 1.0 N) N 1)) (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  1
  (cbrt (fma (+ 1.0 N) N 1))
  (* (cbrt (cbrt (fma (+ 1.0 N) N 1))) (cbrt (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (fma (+ 1.0 N) N 1)
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (expm1 (cbrt (fma (+ 1.0 N) N 1)))
  (log1p (cbrt (fma (+ 1.0 N) N 1)))
  (log (cbrt (fma (+ 1.0 N) N 1)))
  (exp (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (* (cbrt (fma (+ 1.0 N) N 1)) (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  1
  (cbrt (fma (+ 1.0 N) N 1))
  (* (cbrt (cbrt (fma (+ 1.0 N) N 1))) (cbrt (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (fma (+ 1.0 N) N 1)
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (expm1 (cbrt (fma (+ 1.0 N) N 1)))
  (log1p (cbrt (fma (+ 1.0 N) N 1)))
  (log (cbrt (fma (+ 1.0 N) N 1)))
  (exp (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (* (cbrt (fma (+ 1.0 N) N 1)) (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  1
  (cbrt (fma (+ 1.0 N) N 1))
  (* (cbrt (cbrt (fma (+ 1.0 N) N 1))) (cbrt (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (fma (+ 1.0 N) N 1)
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (expm1 (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log1p (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (exp (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (fma N (fma 0.2222222222222222 N 0.3333333333333333) 1)
  (fma 0.3333333333333333 (cbrt (/ 1 N)) (fma (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) 0.2222222222222222 (pow (/ 1 N) -2/3)))
  (fma (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) 0.2222222222222222 (fma (cbrt (/ 1 N)) 0.3333333333333333 (pow (/ -1 N) -2/3)))
  (fma N (fma 0.2222222222222222 N 0.3333333333333333) 1)
  (fma 0.3333333333333333 (cbrt (/ 1 N)) (fma (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) 0.2222222222222222 (pow (/ 1 N) -2/3)))
  (fma (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) 0.2222222222222222 (fma (cbrt (/ 1 N)) 0.3333333333333333 (pow (/ -1 N) -2/3)))
  (fma N (fma 0.2222222222222222 N 0.3333333333333333) 1)
  (fma 0.3333333333333333 (cbrt (/ 1 N)) (fma (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) 0.2222222222222222 (pow (/ 1 N) -2/3)))
  (fma (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) 0.2222222222222222 (fma (cbrt (/ 1 N)) 0.3333333333333333 (pow (/ -1 N) -2/3)))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
8.299 * * * [progress]: adding candidates to table
8.561 * * [progress]: iteration 4 / 4
8.561 * * * [progress]: picking best candidate
8.582 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (* (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1)))) (cbrt (cbrt (fma N (+ 1.0 N) 1)))))))>
8.582 * * * [progress]: localizing error
8.630 * * * [progress]: generating rewritten candidates
8.630 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1)
8.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 2)
8.631 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1)
8.632 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
8.633 * * * [progress]: generating series expansions
8.633 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1)
8.634 * [backup-simplify]: Simplify (cbrt (fma N (+ 1.0 N) 1)) into (pow (fma N (+ N 1.0) 1) 1/3)
8.634 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0
8.634 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
8.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
8.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
8.634 * [taylor]: Taking taylor expansion of 1/3 in N
8.634 * [backup-simplify]: Simplify 1/3 into 1/3
8.634 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
8.634 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
8.634 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
8.634 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
8.634 * [taylor]: Taking taylor expansion of N in N
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify 1 into 1
8.634 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
8.634 * [taylor]: Taking taylor expansion of N in N
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify 1 into 1
8.634 * [taylor]: Taking taylor expansion of 1.0 in N
8.634 * [backup-simplify]: Simplify 1.0 into 1.0
8.634 * [taylor]: Taking taylor expansion of 1 in N
8.634 * [backup-simplify]: Simplify 1 into 1
8.635 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.635 * [backup-simplify]: Simplify (* 0 1.0) into 0
8.635 * [backup-simplify]: Simplify (+ 0 1) into 1
8.635 * [backup-simplify]: Simplify (log 1) into 0
8.636 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.636 * [backup-simplify]: Simplify (+ 1 0) into 1
8.637 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
8.637 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.645 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.646 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
8.646 * [backup-simplify]: Simplify (exp 0) into 1
8.646 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
8.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
8.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
8.646 * [taylor]: Taking taylor expansion of 1/3 in N
8.647 * [backup-simplify]: Simplify 1/3 into 1/3
8.647 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
8.647 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
8.647 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
8.647 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
8.647 * [taylor]: Taking taylor expansion of N in N
8.647 * [backup-simplify]: Simplify 0 into 0
8.647 * [backup-simplify]: Simplify 1 into 1
8.647 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
8.647 * [taylor]: Taking taylor expansion of N in N
8.647 * [backup-simplify]: Simplify 0 into 0
8.647 * [backup-simplify]: Simplify 1 into 1
8.647 * [taylor]: Taking taylor expansion of 1.0 in N
8.647 * [backup-simplify]: Simplify 1.0 into 1.0
8.647 * [taylor]: Taking taylor expansion of 1 in N
8.647 * [backup-simplify]: Simplify 1 into 1
8.647 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.647 * [backup-simplify]: Simplify (* 0 1.0) into 0
8.648 * [backup-simplify]: Simplify (+ 0 1) into 1
8.648 * [backup-simplify]: Simplify (log 1) into 0
8.648 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.648 * [backup-simplify]: Simplify (+ 1 0) into 1
8.649 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
8.650 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.654 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
8.654 * [backup-simplify]: Simplify (exp 0) into 1
8.654 * [backup-simplify]: Simplify 1 into 1
8.656 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333
8.656 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.657 * [backup-simplify]: Simplify (+ 0 0) into 0
8.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
8.657 * [backup-simplify]: Simplify (+ 1 0) into 1
8.663 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.664 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666
8.668 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222
8.668 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222
8.668 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
8.668 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3)
8.668 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0
8.668 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
8.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
8.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.668 * [taylor]: Taking taylor expansion of 1/3 in N
8.668 * [backup-simplify]: Simplify 1/3 into 1/3
8.668 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.668 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
8.669 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
8.669 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
8.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.669 * [taylor]: Taking taylor expansion of N in N
8.669 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify 1 into 1
8.669 * [backup-simplify]: Simplify (/ 1 1) into 1
8.669 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
8.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.669 * [taylor]: Taking taylor expansion of N in N
8.669 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify 1 into 1
8.669 * [backup-simplify]: Simplify (/ 1 1) into 1
8.669 * [taylor]: Taking taylor expansion of 1.0 in N
8.669 * [backup-simplify]: Simplify 1.0 into 1.0
8.669 * [taylor]: Taking taylor expansion of 1 in N
8.669 * [backup-simplify]: Simplify 1 into 1
8.670 * [backup-simplify]: Simplify (+ 1 0) into 1
8.670 * [backup-simplify]: Simplify (* 1 1) into 1
8.670 * [backup-simplify]: Simplify (+ 1 0) into 1
8.670 * [backup-simplify]: Simplify (log 1) into 0
8.671 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.671 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.671 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.671 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
8.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
8.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.671 * [taylor]: Taking taylor expansion of 1/3 in N
8.671 * [backup-simplify]: Simplify 1/3 into 1/3
8.671 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.671 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
8.671 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
8.671 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
8.671 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.671 * [taylor]: Taking taylor expansion of N in N
8.671 * [backup-simplify]: Simplify 0 into 0
8.671 * [backup-simplify]: Simplify 1 into 1
8.671 * [backup-simplify]: Simplify (/ 1 1) into 1
8.671 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
8.671 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.671 * [taylor]: Taking taylor expansion of N in N
8.671 * [backup-simplify]: Simplify 0 into 0
8.671 * [backup-simplify]: Simplify 1 into 1
8.672 * [backup-simplify]: Simplify (/ 1 1) into 1
8.672 * [taylor]: Taking taylor expansion of 1.0 in N
8.672 * [backup-simplify]: Simplify 1.0 into 1.0
8.672 * [taylor]: Taking taylor expansion of 1 in N
8.672 * [backup-simplify]: Simplify 1 into 1
8.672 * [backup-simplify]: Simplify (+ 1 0) into 1
8.672 * [backup-simplify]: Simplify (* 1 1) into 1
8.672 * [backup-simplify]: Simplify (+ 1 0) into 1
8.673 * [backup-simplify]: Simplify (log 1) into 0
8.673 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.673 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.673 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.673 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.674 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.675 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
8.675 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.679 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.680 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
8.681 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.681 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.682 * [backup-simplify]: Simplify (+ 0 0) into 0
8.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
8.684 * [backup-simplify]: Simplify (+ 0 1) into 1
8.690 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.691 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.691 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
8.694 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.694 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.694 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
8.695 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3)
8.695 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0
8.695 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
8.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
8.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.695 * [taylor]: Taking taylor expansion of 1/3 in N
8.695 * [backup-simplify]: Simplify 1/3 into 1/3
8.695 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.695 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
8.695 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
8.695 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
8.695 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.695 * [taylor]: Taking taylor expansion of -1 in N
8.695 * [backup-simplify]: Simplify -1 into -1
8.695 * [taylor]: Taking taylor expansion of N in N
8.695 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify 1 into 1
8.695 * [backup-simplify]: Simplify (/ -1 1) into -1
8.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
8.695 * [taylor]: Taking taylor expansion of 1.0 in N
8.695 * [backup-simplify]: Simplify 1.0 into 1.0
8.695 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.695 * [taylor]: Taking taylor expansion of N in N
8.695 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify 1 into 1
8.696 * [backup-simplify]: Simplify (/ 1 1) into 1
8.696 * [taylor]: Taking taylor expansion of 1 in N
8.696 * [backup-simplify]: Simplify 1 into 1
8.696 * [backup-simplify]: Simplify (- 1) into -1
8.696 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.696 * [backup-simplify]: Simplify (* -1 -1) into 1
8.697 * [backup-simplify]: Simplify (+ 1 0) into 1
8.697 * [backup-simplify]: Simplify (log 1) into 0
8.697 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.697 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.697 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.697 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
8.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
8.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.697 * [taylor]: Taking taylor expansion of 1/3 in N
8.697 * [backup-simplify]: Simplify 1/3 into 1/3
8.697 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.697 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
8.698 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
8.698 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
8.698 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.698 * [taylor]: Taking taylor expansion of -1 in N
8.698 * [backup-simplify]: Simplify -1 into -1
8.698 * [taylor]: Taking taylor expansion of N in N
8.698 * [backup-simplify]: Simplify 0 into 0
8.698 * [backup-simplify]: Simplify 1 into 1
8.698 * [backup-simplify]: Simplify (/ -1 1) into -1
8.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
8.698 * [taylor]: Taking taylor expansion of 1.0 in N
8.698 * [backup-simplify]: Simplify 1.0 into 1.0
8.698 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.698 * [taylor]: Taking taylor expansion of N in N
8.698 * [backup-simplify]: Simplify 0 into 0
8.698 * [backup-simplify]: Simplify 1 into 1
8.698 * [backup-simplify]: Simplify (/ 1 1) into 1
8.698 * [taylor]: Taking taylor expansion of 1 in N
8.698 * [backup-simplify]: Simplify 1 into 1
8.699 * [backup-simplify]: Simplify (- 1) into -1
8.699 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.699 * [backup-simplify]: Simplify (* -1 -1) into 1
8.699 * [backup-simplify]: Simplify (+ 1 0) into 1
8.700 * [backup-simplify]: Simplify (log 1) into 0
8.700 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.700 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.700 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.700 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
8.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.701 * [backup-simplify]: Simplify (- 0) into 0
8.701 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.703 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
8.703 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
8.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
8.708 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.708 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333)
8.710 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.710 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.711 * [backup-simplify]: Simplify (- 0) into 0
8.711 * [backup-simplify]: Simplify (+ 0 0) into 0
8.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
8.713 * [backup-simplify]: Simplify (+ 0 1) into 1
8.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.720 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.720 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
8.723 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.724 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.724 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
8.724 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 2)
8.724 * [backup-simplify]: Simplify (cbrt (fma N (+ 1.0 N) 1)) into (pow (fma N (+ N 1.0) 1) 1/3)
8.724 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0
8.724 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
8.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
8.724 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
8.725 * [taylor]: Taking taylor expansion of 1/3 in N
8.725 * [backup-simplify]: Simplify 1/3 into 1/3
8.725 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
8.725 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
8.725 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
8.725 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
8.725 * [taylor]: Taking taylor expansion of N in N
8.725 * [backup-simplify]: Simplify 0 into 0
8.725 * [backup-simplify]: Simplify 1 into 1
8.725 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
8.725 * [taylor]: Taking taylor expansion of N in N
8.725 * [backup-simplify]: Simplify 0 into 0
8.725 * [backup-simplify]: Simplify 1 into 1
8.725 * [taylor]: Taking taylor expansion of 1.0 in N
8.725 * [backup-simplify]: Simplify 1.0 into 1.0
8.725 * [taylor]: Taking taylor expansion of 1 in N
8.725 * [backup-simplify]: Simplify 1 into 1
8.725 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.725 * [backup-simplify]: Simplify (* 0 1.0) into 0
8.726 * [backup-simplify]: Simplify (+ 0 1) into 1
8.726 * [backup-simplify]: Simplify (log 1) into 0
8.726 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.728 * [backup-simplify]: Simplify (+ 1 0) into 1
8.729 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
8.730 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.734 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
8.734 * [backup-simplify]: Simplify (exp 0) into 1
8.734 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
8.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
8.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
8.734 * [taylor]: Taking taylor expansion of 1/3 in N
8.734 * [backup-simplify]: Simplify 1/3 into 1/3
8.734 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
8.734 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
8.734 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
8.734 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
8.734 * [taylor]: Taking taylor expansion of N in N
8.734 * [backup-simplify]: Simplify 0 into 0
8.734 * [backup-simplify]: Simplify 1 into 1
8.734 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
8.734 * [taylor]: Taking taylor expansion of N in N
8.734 * [backup-simplify]: Simplify 0 into 0
8.734 * [backup-simplify]: Simplify 1 into 1
8.734 * [taylor]: Taking taylor expansion of 1.0 in N
8.734 * [backup-simplify]: Simplify 1.0 into 1.0
8.734 * [taylor]: Taking taylor expansion of 1 in N
8.734 * [backup-simplify]: Simplify 1 into 1
8.735 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.735 * [backup-simplify]: Simplify (* 0 1.0) into 0
8.735 * [backup-simplify]: Simplify (+ 0 1) into 1
8.735 * [backup-simplify]: Simplify (log 1) into 0
8.736 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.736 * [backup-simplify]: Simplify (+ 1 0) into 1
8.737 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
8.737 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.741 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
8.741 * [backup-simplify]: Simplify (exp 0) into 1
8.742 * [backup-simplify]: Simplify 1 into 1
8.744 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333
8.744 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.744 * [backup-simplify]: Simplify (+ 0 0) into 0
8.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
8.745 * [backup-simplify]: Simplify (+ 1 0) into 1
8.751 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.753 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666
8.756 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222
8.756 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222
8.756 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
8.757 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3)
8.757 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0
8.757 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
8.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
8.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.757 * [taylor]: Taking taylor expansion of 1/3 in N
8.757 * [backup-simplify]: Simplify 1/3 into 1/3
8.757 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.757 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
8.757 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
8.757 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
8.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.757 * [taylor]: Taking taylor expansion of N in N
8.757 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.757 * [backup-simplify]: Simplify (/ 1 1) into 1
8.757 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
8.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.757 * [taylor]: Taking taylor expansion of N in N
8.757 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.758 * [backup-simplify]: Simplify (/ 1 1) into 1
8.758 * [taylor]: Taking taylor expansion of 1.0 in N
8.758 * [backup-simplify]: Simplify 1.0 into 1.0
8.758 * [taylor]: Taking taylor expansion of 1 in N
8.758 * [backup-simplify]: Simplify 1 into 1
8.758 * [backup-simplify]: Simplify (+ 1 0) into 1
8.758 * [backup-simplify]: Simplify (* 1 1) into 1
8.758 * [backup-simplify]: Simplify (+ 1 0) into 1
8.759 * [backup-simplify]: Simplify (log 1) into 0
8.759 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.759 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.759 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.759 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
8.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
8.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.759 * [taylor]: Taking taylor expansion of 1/3 in N
8.759 * [backup-simplify]: Simplify 1/3 into 1/3
8.759 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.759 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
8.759 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
8.759 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
8.759 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.759 * [taylor]: Taking taylor expansion of N in N
8.759 * [backup-simplify]: Simplify 0 into 0
8.759 * [backup-simplify]: Simplify 1 into 1
8.760 * [backup-simplify]: Simplify (/ 1 1) into 1
8.760 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
8.760 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.760 * [taylor]: Taking taylor expansion of N in N
8.760 * [backup-simplify]: Simplify 0 into 0
8.760 * [backup-simplify]: Simplify 1 into 1
8.760 * [backup-simplify]: Simplify (/ 1 1) into 1
8.760 * [taylor]: Taking taylor expansion of 1.0 in N
8.760 * [backup-simplify]: Simplify 1.0 into 1.0
8.760 * [taylor]: Taking taylor expansion of 1 in N
8.760 * [backup-simplify]: Simplify 1 into 1
8.760 * [backup-simplify]: Simplify (+ 1 0) into 1
8.761 * [backup-simplify]: Simplify (* 1 1) into 1
8.761 * [backup-simplify]: Simplify (+ 1 0) into 1
8.761 * [backup-simplify]: Simplify (log 1) into 0
8.761 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.761 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.761 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.762 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
8.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.762 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.764 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
8.764 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.768 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.768 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
8.769 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.770 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.770 * [backup-simplify]: Simplify (+ 0 0) into 0
8.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
8.772 * [backup-simplify]: Simplify (+ 0 1) into 1
8.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.778 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.778 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
8.781 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.781 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.782 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
8.782 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3)
8.782 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0
8.782 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
8.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
8.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.782 * [taylor]: Taking taylor expansion of 1/3 in N
8.782 * [backup-simplify]: Simplify 1/3 into 1/3
8.782 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.782 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
8.782 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
8.782 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
8.782 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.782 * [taylor]: Taking taylor expansion of -1 in N
8.782 * [backup-simplify]: Simplify -1 into -1
8.782 * [taylor]: Taking taylor expansion of N in N
8.782 * [backup-simplify]: Simplify 0 into 0
8.782 * [backup-simplify]: Simplify 1 into 1
8.783 * [backup-simplify]: Simplify (/ -1 1) into -1
8.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
8.783 * [taylor]: Taking taylor expansion of 1.0 in N
8.783 * [backup-simplify]: Simplify 1.0 into 1.0
8.783 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.783 * [taylor]: Taking taylor expansion of N in N
8.783 * [backup-simplify]: Simplify 0 into 0
8.783 * [backup-simplify]: Simplify 1 into 1
8.783 * [backup-simplify]: Simplify (/ 1 1) into 1
8.783 * [taylor]: Taking taylor expansion of 1 in N
8.783 * [backup-simplify]: Simplify 1 into 1
8.783 * [backup-simplify]: Simplify (- 1) into -1
8.784 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.784 * [backup-simplify]: Simplify (* -1 -1) into 1
8.784 * [backup-simplify]: Simplify (+ 1 0) into 1
8.784 * [backup-simplify]: Simplify (log 1) into 0
8.785 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.785 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.785 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.785 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
8.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
8.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.785 * [taylor]: Taking taylor expansion of 1/3 in N
8.785 * [backup-simplify]: Simplify 1/3 into 1/3
8.785 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.785 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
8.785 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
8.785 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
8.785 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.785 * [taylor]: Taking taylor expansion of -1 in N
8.785 * [backup-simplify]: Simplify -1 into -1
8.785 * [taylor]: Taking taylor expansion of N in N
8.785 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify 1 into 1
8.785 * [backup-simplify]: Simplify (/ -1 1) into -1
8.785 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
8.785 * [taylor]: Taking taylor expansion of 1.0 in N
8.785 * [backup-simplify]: Simplify 1.0 into 1.0
8.785 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.785 * [taylor]: Taking taylor expansion of N in N
8.785 * [backup-simplify]: Simplify 0 into 0
8.786 * [backup-simplify]: Simplify 1 into 1
8.786 * [backup-simplify]: Simplify (/ 1 1) into 1
8.786 * [taylor]: Taking taylor expansion of 1 in N
8.786 * [backup-simplify]: Simplify 1 into 1
8.786 * [backup-simplify]: Simplify (- 1) into -1
8.786 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.786 * [backup-simplify]: Simplify (* -1 -1) into 1
8.787 * [backup-simplify]: Simplify (+ 1 0) into 1
8.787 * [backup-simplify]: Simplify (log 1) into 0
8.787 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.787 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.787 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.787 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
8.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.788 * [backup-simplify]: Simplify (- 0) into 0
8.788 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.790 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
8.790 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
8.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
8.795 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.795 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333)
8.797 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.797 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.798 * [backup-simplify]: Simplify (- 0) into 0
8.798 * [backup-simplify]: Simplify (+ 0 0) into 0
8.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.799 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
8.800 * [backup-simplify]: Simplify (+ 0 1) into 1
8.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.807 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.808 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
8.812 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.813 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.813 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
8.813 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1)
8.813 * [backup-simplify]: Simplify (cbrt (fma N (+ 1.0 N) 1)) into (pow (fma N (+ N 1.0) 1) 1/3)
8.813 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0
8.813 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
8.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
8.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
8.814 * [taylor]: Taking taylor expansion of 1/3 in N
8.814 * [backup-simplify]: Simplify 1/3 into 1/3
8.814 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
8.814 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
8.814 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
8.814 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
8.814 * [taylor]: Taking taylor expansion of N in N
8.814 * [backup-simplify]: Simplify 0 into 0
8.814 * [backup-simplify]: Simplify 1 into 1
8.814 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
8.814 * [taylor]: Taking taylor expansion of N in N
8.814 * [backup-simplify]: Simplify 0 into 0
8.814 * [backup-simplify]: Simplify 1 into 1
8.814 * [taylor]: Taking taylor expansion of 1.0 in N
8.814 * [backup-simplify]: Simplify 1.0 into 1.0
8.814 * [taylor]: Taking taylor expansion of 1 in N
8.814 * [backup-simplify]: Simplify 1 into 1
8.814 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.815 * [backup-simplify]: Simplify (* 0 1.0) into 0
8.815 * [backup-simplify]: Simplify (+ 0 1) into 1
8.815 * [backup-simplify]: Simplify (log 1) into 0
8.815 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.816 * [backup-simplify]: Simplify (+ 1 0) into 1
8.816 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
8.817 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.821 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
8.821 * [backup-simplify]: Simplify (exp 0) into 1
8.821 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
8.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
8.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
8.821 * [taylor]: Taking taylor expansion of 1/3 in N
8.821 * [backup-simplify]: Simplify 1/3 into 1/3
8.821 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
8.821 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
8.821 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
8.821 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
8.821 * [taylor]: Taking taylor expansion of N in N
8.821 * [backup-simplify]: Simplify 0 into 0
8.821 * [backup-simplify]: Simplify 1 into 1
8.821 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
8.821 * [taylor]: Taking taylor expansion of N in N
8.821 * [backup-simplify]: Simplify 0 into 0
8.821 * [backup-simplify]: Simplify 1 into 1
8.821 * [taylor]: Taking taylor expansion of 1.0 in N
8.821 * [backup-simplify]: Simplify 1.0 into 1.0
8.822 * [taylor]: Taking taylor expansion of 1 in N
8.822 * [backup-simplify]: Simplify 1 into 1
8.822 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.822 * [backup-simplify]: Simplify (* 0 1.0) into 0
8.822 * [backup-simplify]: Simplify (+ 0 1) into 1
8.823 * [backup-simplify]: Simplify (log 1) into 0
8.823 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.823 * [backup-simplify]: Simplify (+ 1 0) into 1
8.824 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
8.824 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.829 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
8.829 * [backup-simplify]: Simplify (exp 0) into 1
8.829 * [backup-simplify]: Simplify 1 into 1
8.831 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333
8.831 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.831 * [backup-simplify]: Simplify (+ 0 0) into 0
8.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
8.832 * [backup-simplify]: Simplify (+ 1 0) into 1
8.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.839 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666
8.842 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222
8.843 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222
8.843 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
8.843 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3)
8.843 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0
8.843 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
8.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
8.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.843 * [taylor]: Taking taylor expansion of 1/3 in N
8.843 * [backup-simplify]: Simplify 1/3 into 1/3
8.843 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.843 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
8.843 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
8.843 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
8.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.843 * [taylor]: Taking taylor expansion of N in N
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 1 into 1
8.843 * [backup-simplify]: Simplify (/ 1 1) into 1
8.844 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
8.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.844 * [taylor]: Taking taylor expansion of N in N
8.844 * [backup-simplify]: Simplify 0 into 0
8.844 * [backup-simplify]: Simplify 1 into 1
8.844 * [backup-simplify]: Simplify (/ 1 1) into 1
8.844 * [taylor]: Taking taylor expansion of 1.0 in N
8.844 * [backup-simplify]: Simplify 1.0 into 1.0
8.844 * [taylor]: Taking taylor expansion of 1 in N
8.844 * [backup-simplify]: Simplify 1 into 1
8.844 * [backup-simplify]: Simplify (+ 1 0) into 1
8.844 * [backup-simplify]: Simplify (* 1 1) into 1
8.845 * [backup-simplify]: Simplify (+ 1 0) into 1
8.845 * [backup-simplify]: Simplify (log 1) into 0
8.845 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.845 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.845 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.845 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
8.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
8.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.845 * [taylor]: Taking taylor expansion of 1/3 in N
8.845 * [backup-simplify]: Simplify 1/3 into 1/3
8.845 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.845 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
8.846 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
8.846 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
8.846 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.846 * [taylor]: Taking taylor expansion of N in N
8.846 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify 1 into 1
8.846 * [backup-simplify]: Simplify (/ 1 1) into 1
8.846 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
8.846 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.846 * [taylor]: Taking taylor expansion of N in N
8.846 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify 1 into 1
8.846 * [backup-simplify]: Simplify (/ 1 1) into 1
8.846 * [taylor]: Taking taylor expansion of 1.0 in N
8.846 * [backup-simplify]: Simplify 1.0 into 1.0
8.846 * [taylor]: Taking taylor expansion of 1 in N
8.846 * [backup-simplify]: Simplify 1 into 1
8.846 * [backup-simplify]: Simplify (+ 1 0) into 1
8.847 * [backup-simplify]: Simplify (* 1 1) into 1
8.847 * [backup-simplify]: Simplify (+ 1 0) into 1
8.847 * [backup-simplify]: Simplify (log 1) into 0
8.847 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.848 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.848 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.848 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
8.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.848 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.850 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
8.850 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.854 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.855 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
8.856 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.856 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.857 * [backup-simplify]: Simplify (+ 0 0) into 0
8.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
8.858 * [backup-simplify]: Simplify (+ 0 1) into 1
8.864 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.865 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.865 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
8.868 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.868 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.869 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
8.869 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3)
8.869 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0
8.869 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
8.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
8.869 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.869 * [taylor]: Taking taylor expansion of 1/3 in N
8.869 * [backup-simplify]: Simplify 1/3 into 1/3
8.869 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.869 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
8.869 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
8.869 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
8.869 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.869 * [taylor]: Taking taylor expansion of -1 in N
8.869 * [backup-simplify]: Simplify -1 into -1
8.869 * [taylor]: Taking taylor expansion of N in N
8.869 * [backup-simplify]: Simplify 0 into 0
8.869 * [backup-simplify]: Simplify 1 into 1
8.870 * [backup-simplify]: Simplify (/ -1 1) into -1
8.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
8.870 * [taylor]: Taking taylor expansion of 1.0 in N
8.870 * [backup-simplify]: Simplify 1.0 into 1.0
8.870 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.870 * [taylor]: Taking taylor expansion of N in N
8.870 * [backup-simplify]: Simplify 0 into 0
8.870 * [backup-simplify]: Simplify 1 into 1
8.870 * [backup-simplify]: Simplify (/ 1 1) into 1
8.870 * [taylor]: Taking taylor expansion of 1 in N
8.870 * [backup-simplify]: Simplify 1 into 1
8.870 * [backup-simplify]: Simplify (- 1) into -1
8.870 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.871 * [backup-simplify]: Simplify (* -1 -1) into 1
8.871 * [backup-simplify]: Simplify (+ 1 0) into 1
8.871 * [backup-simplify]: Simplify (log 1) into 0
8.871 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.872 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.872 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.872 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
8.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
8.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.872 * [taylor]: Taking taylor expansion of 1/3 in N
8.872 * [backup-simplify]: Simplify 1/3 into 1/3
8.872 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.872 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
8.872 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
8.872 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
8.872 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.872 * [taylor]: Taking taylor expansion of -1 in N
8.872 * [backup-simplify]: Simplify -1 into -1
8.872 * [taylor]: Taking taylor expansion of N in N
8.872 * [backup-simplify]: Simplify 0 into 0
8.872 * [backup-simplify]: Simplify 1 into 1
8.872 * [backup-simplify]: Simplify (/ -1 1) into -1
8.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
8.872 * [taylor]: Taking taylor expansion of 1.0 in N
8.872 * [backup-simplify]: Simplify 1.0 into 1.0
8.872 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.872 * [taylor]: Taking taylor expansion of N in N
8.872 * [backup-simplify]: Simplify 0 into 0
8.872 * [backup-simplify]: Simplify 1 into 1
8.873 * [backup-simplify]: Simplify (/ 1 1) into 1
8.873 * [taylor]: Taking taylor expansion of 1 in N
8.873 * [backup-simplify]: Simplify 1 into 1
8.873 * [backup-simplify]: Simplify (- 1) into -1
8.873 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.873 * [backup-simplify]: Simplify (* -1 -1) into 1
8.874 * [backup-simplify]: Simplify (+ 1 0) into 1
8.874 * [backup-simplify]: Simplify (log 1) into 0
8.874 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.874 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.874 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.874 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
8.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.875 * [backup-simplify]: Simplify (- 0) into 0
8.875 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.877 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
8.877 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
8.882 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
8.882 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.882 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333)
8.884 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.884 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.885 * [backup-simplify]: Simplify (- 0) into 0
8.885 * [backup-simplify]: Simplify (+ 0 0) into 0
8.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.887 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
8.887 * [backup-simplify]: Simplify (+ 0 1) into 1
8.895 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.895 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.896 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
8.899 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.899 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.900 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
8.900 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
8.900 * [backup-simplify]: Simplify (cbrt (fma N (+ 1.0 N) 1)) into (pow (fma N (+ N 1.0) 1) 1/3)
8.900 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0
8.900 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
8.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
8.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
8.900 * [taylor]: Taking taylor expansion of 1/3 in N
8.900 * [backup-simplify]: Simplify 1/3 into 1/3
8.900 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
8.900 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
8.900 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
8.900 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
8.900 * [taylor]: Taking taylor expansion of N in N
8.900 * [backup-simplify]: Simplify 0 into 0
8.900 * [backup-simplify]: Simplify 1 into 1
8.900 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
8.900 * [taylor]: Taking taylor expansion of N in N
8.900 * [backup-simplify]: Simplify 0 into 0
8.900 * [backup-simplify]: Simplify 1 into 1
8.900 * [taylor]: Taking taylor expansion of 1.0 in N
8.900 * [backup-simplify]: Simplify 1.0 into 1.0
8.901 * [taylor]: Taking taylor expansion of 1 in N
8.901 * [backup-simplify]: Simplify 1 into 1
8.901 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.901 * [backup-simplify]: Simplify (* 0 1.0) into 0
8.901 * [backup-simplify]: Simplify (+ 0 1) into 1
8.902 * [backup-simplify]: Simplify (log 1) into 0
8.902 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.902 * [backup-simplify]: Simplify (+ 1 0) into 1
8.903 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
8.903 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.908 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
8.908 * [backup-simplify]: Simplify (exp 0) into 1
8.908 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N
8.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N
8.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N
8.908 * [taylor]: Taking taylor expansion of 1/3 in N
8.908 * [backup-simplify]: Simplify 1/3 into 1/3
8.908 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N
8.908 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N
8.908 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1)
8.908 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
8.908 * [taylor]: Taking taylor expansion of N in N
8.908 * [backup-simplify]: Simplify 0 into 0
8.908 * [backup-simplify]: Simplify 1 into 1
8.908 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
8.908 * [taylor]: Taking taylor expansion of N in N
8.908 * [backup-simplify]: Simplify 0 into 0
8.908 * [backup-simplify]: Simplify 1 into 1
8.908 * [taylor]: Taking taylor expansion of 1.0 in N
8.908 * [backup-simplify]: Simplify 1.0 into 1.0
8.908 * [taylor]: Taking taylor expansion of 1 in N
8.908 * [backup-simplify]: Simplify 1 into 1
8.908 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.909 * [backup-simplify]: Simplify (* 0 1.0) into 0
8.909 * [backup-simplify]: Simplify (+ 0 1) into 1
8.909 * [backup-simplify]: Simplify (log 1) into 0
8.909 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.910 * [backup-simplify]: Simplify (+ 1 0) into 1
8.910 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
8.911 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.916 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333
8.916 * [backup-simplify]: Simplify (exp 0) into 1
8.916 * [backup-simplify]: Simplify 1 into 1
8.918 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333
8.918 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.918 * [backup-simplify]: Simplify (+ 0 0) into 0
8.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
8.919 * [backup-simplify]: Simplify (+ 1 0) into 1
8.925 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.926 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666
8.930 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222
8.930 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222
8.930 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
8.930 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3)
8.930 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0
8.930 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
8.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
8.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.930 * [taylor]: Taking taylor expansion of 1/3 in N
8.930 * [backup-simplify]: Simplify 1/3 into 1/3
8.930 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.930 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
8.930 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
8.930 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
8.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.930 * [taylor]: Taking taylor expansion of N in N
8.931 * [backup-simplify]: Simplify 0 into 0
8.931 * [backup-simplify]: Simplify 1 into 1
8.931 * [backup-simplify]: Simplify (/ 1 1) into 1
8.931 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
8.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.931 * [taylor]: Taking taylor expansion of N in N
8.931 * [backup-simplify]: Simplify 0 into 0
8.931 * [backup-simplify]: Simplify 1 into 1
8.931 * [backup-simplify]: Simplify (/ 1 1) into 1
8.931 * [taylor]: Taking taylor expansion of 1.0 in N
8.931 * [backup-simplify]: Simplify 1.0 into 1.0
8.931 * [taylor]: Taking taylor expansion of 1 in N
8.931 * [backup-simplify]: Simplify 1 into 1
8.931 * [backup-simplify]: Simplify (+ 1 0) into 1
8.932 * [backup-simplify]: Simplify (* 1 1) into 1
8.932 * [backup-simplify]: Simplify (+ 1 0) into 1
8.932 * [backup-simplify]: Simplify (log 1) into 0
8.932 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.933 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.933 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.933 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N
8.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
8.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
8.933 * [taylor]: Taking taylor expansion of 1/3 in N
8.933 * [backup-simplify]: Simplify 1/3 into 1/3
8.933 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
8.933 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N
8.933 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)
8.933 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N
8.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.933 * [taylor]: Taking taylor expansion of N in N
8.933 * [backup-simplify]: Simplify 0 into 0
8.933 * [backup-simplify]: Simplify 1 into 1
8.933 * [backup-simplify]: Simplify (/ 1 1) into 1
8.933 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
8.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.933 * [taylor]: Taking taylor expansion of N in N
8.933 * [backup-simplify]: Simplify 0 into 0
8.933 * [backup-simplify]: Simplify 1 into 1
8.934 * [backup-simplify]: Simplify (/ 1 1) into 1
8.934 * [taylor]: Taking taylor expansion of 1.0 in N
8.934 * [backup-simplify]: Simplify 1.0 into 1.0
8.934 * [taylor]: Taking taylor expansion of 1 in N
8.934 * [backup-simplify]: Simplify 1 into 1
8.934 * [backup-simplify]: Simplify (+ 1 0) into 1
8.934 * [backup-simplify]: Simplify (* 1 1) into 1
8.934 * [backup-simplify]: Simplify (+ 1 0) into 1
8.935 * [backup-simplify]: Simplify (log 1) into 0
8.935 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.935 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.935 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.935 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
8.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.936 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.937 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 1)) into 1.0
8.938 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
8.941 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.942 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
8.943 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.943 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.944 * [backup-simplify]: Simplify (+ 0 0) into 0
8.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1.0) (* 0 1))) into 0
8.946 * [backup-simplify]: Simplify (+ 0 1) into 1
8.951 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.952 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.952 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
8.955 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.955 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.956 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
8.956 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3)
8.956 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0
8.956 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
8.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
8.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.956 * [taylor]: Taking taylor expansion of 1/3 in N
8.956 * [backup-simplify]: Simplify 1/3 into 1/3
8.956 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.956 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
8.956 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
8.956 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
8.956 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.956 * [taylor]: Taking taylor expansion of -1 in N
8.956 * [backup-simplify]: Simplify -1 into -1
8.956 * [taylor]: Taking taylor expansion of N in N
8.956 * [backup-simplify]: Simplify 0 into 0
8.956 * [backup-simplify]: Simplify 1 into 1
8.957 * [backup-simplify]: Simplify (/ -1 1) into -1
8.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
8.957 * [taylor]: Taking taylor expansion of 1.0 in N
8.957 * [backup-simplify]: Simplify 1.0 into 1.0
8.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.957 * [taylor]: Taking taylor expansion of N in N
8.957 * [backup-simplify]: Simplify 0 into 0
8.957 * [backup-simplify]: Simplify 1 into 1
8.957 * [backup-simplify]: Simplify (/ 1 1) into 1
8.957 * [taylor]: Taking taylor expansion of 1 in N
8.957 * [backup-simplify]: Simplify 1 into 1
8.957 * [backup-simplify]: Simplify (- 1) into -1
8.957 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.958 * [backup-simplify]: Simplify (* -1 -1) into 1
8.958 * [backup-simplify]: Simplify (+ 1 0) into 1
8.958 * [backup-simplify]: Simplify (log 1) into 0
8.959 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.959 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.959 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.959 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N
8.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
8.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
8.959 * [taylor]: Taking taylor expansion of 1/3 in N
8.959 * [backup-simplify]: Simplify 1/3 into 1/3
8.959 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
8.959 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N
8.959 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1)
8.959 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N
8.959 * [taylor]: Taking taylor expansion of (/ -1 N) in N
8.959 * [taylor]: Taking taylor expansion of -1 in N
8.959 * [backup-simplify]: Simplify -1 into -1
8.959 * [taylor]: Taking taylor expansion of N in N
8.959 * [backup-simplify]: Simplify 0 into 0
8.959 * [backup-simplify]: Simplify 1 into 1
8.959 * [backup-simplify]: Simplify (/ -1 1) into -1
8.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
8.959 * [taylor]: Taking taylor expansion of 1.0 in N
8.959 * [backup-simplify]: Simplify 1.0 into 1.0
8.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.959 * [taylor]: Taking taylor expansion of N in N
8.959 * [backup-simplify]: Simplify 0 into 0
8.959 * [backup-simplify]: Simplify 1 into 1
8.960 * [backup-simplify]: Simplify (/ 1 1) into 1
8.960 * [taylor]: Taking taylor expansion of 1 in N
8.960 * [backup-simplify]: Simplify 1 into 1
8.960 * [backup-simplify]: Simplify (- 1) into -1
8.960 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.960 * [backup-simplify]: Simplify (* -1 -1) into 1
8.961 * [backup-simplify]: Simplify (+ 1 0) into 1
8.961 * [backup-simplify]: Simplify (log 1) into 0
8.961 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.961 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
8.961 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
8.961 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
8.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.962 * [backup-simplify]: Simplify (- 0) into 0
8.962 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.964 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
8.965 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
8.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
8.969 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.969 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333)
8.971 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.971 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
8.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.972 * [backup-simplify]: Simplify (- 0) into 0
8.973 * [backup-simplify]: Simplify (+ 0 0) into 0
8.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.974 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
8.974 * [backup-simplify]: Simplify (+ 0 1) into 1
8.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5
8.982 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
8.983 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666
8.986 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.986 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3))
8.987 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
8.987 * * * [progress]: simplifying candidates
8.988 * [simplify]: Simplifying:
  (expm1 (cbrt (fma N (+ 1.0 N) 1)))
  (log1p (cbrt (fma N (+ 1.0 N) 1)))
  (log (cbrt (fma N (+ 1.0 N) 1)))
  (exp (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1.0 N) 1))
  (* (cbrt (cbrt (fma N (+ 1.0 N) 1))) (cbrt (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (expm1 (cbrt (fma N (+ 1.0 N) 1)))
  (log1p (cbrt (fma N (+ 1.0 N) 1)))
  (log (cbrt (fma N (+ 1.0 N) 1)))
  (exp (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1.0 N) 1))
  (* (cbrt (cbrt (fma N (+ 1.0 N) 1))) (cbrt (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (expm1 (cbrt (fma N (+ 1.0 N) 1)))
  (log1p (cbrt (fma N (+ 1.0 N) 1)))
  (log (cbrt (fma N (+ 1.0 N) 1)))
  (exp (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1.0 N) 1))
  (* (cbrt (cbrt (fma N (+ 1.0 N) 1))) (cbrt (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (expm1 (cbrt (fma N (+ 1.0 N) 1)))
  (log1p (cbrt (fma N (+ 1.0 N) 1)))
  (log (cbrt (fma N (+ 1.0 N) 1)))
  (exp (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt (sqrt (fma N (+ 1.0 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1.0 N) 1))
  (* (cbrt (cbrt (fma N (+ 1.0 N) 1))) (cbrt (cbrt (fma N (+ 1.0 N) 1))))
  (cbrt (cbrt (fma N (+ 1.0 N) 1)))
  (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (sqrt (cbrt (fma N (+ 1.0 N) 1)))
  (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3))))
8.988 * * [simplify]: iteration 0: 45 enodes
8.998 * * [simplify]: iteration 1: 92 enodes
9.018 * * [simplify]: iteration 2: 185 enodes
9.058 * * [simplify]: iteration 3: 398 enodes
9.152 * * [simplify]: iteration 4: 767 enodes
9.313 * * [simplify]: iteration 5: 1576 enodes
9.899 * * [simplify]: iteration 6: 3695 enodes
10.562 * * [simplify]: iteration complete: 5001 enodes
10.562 * * [simplify]: Extracting #0: cost 15 inf + 0
10.562 * * [simplify]: Extracting #1: cost 67 inf + 1
10.563 * * [simplify]: Extracting #2: cost 284 inf + 9
10.567 * * [simplify]: Extracting #3: cost 711 inf + 2839
10.574 * * [simplify]: Extracting #4: cost 818 inf + 25335
10.605 * * [simplify]: Extracting #5: cost 334 inf + 239482
10.652 * * [simplify]: Extracting #6: cost 35 inf + 446265
10.708 * * [simplify]: Extracting #7: cost 1 inf + 470120
10.762 * * [simplify]: Extracting #8: cost 0 inf + 470744
10.817 * [simplify]: Simplified to:
  (expm1 (cbrt (fma (+ 1.0 N) N 1)))
  (log1p (cbrt (fma (+ 1.0 N) N 1)))
  (log (cbrt (fma (+ 1.0 N) N 1)))
  (exp (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (* (cbrt (fma (+ 1.0 N) N 1)) (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  1
  (cbrt (fma (+ 1.0 N) N 1))
  (* (cbrt (cbrt (fma (+ 1.0 N) N 1))) (cbrt (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (fma (+ 1.0 N) N 1)
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (expm1 (cbrt (fma (+ 1.0 N) N 1)))
  (log1p (cbrt (fma (+ 1.0 N) N 1)))
  (log (cbrt (fma (+ 1.0 N) N 1)))
  (exp (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (* (cbrt (fma (+ 1.0 N) N 1)) (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  1
  (cbrt (fma (+ 1.0 N) N 1))
  (* (cbrt (cbrt (fma (+ 1.0 N) N 1))) (cbrt (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (fma (+ 1.0 N) N 1)
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (expm1 (cbrt (fma (+ 1.0 N) N 1)))
  (log1p (cbrt (fma (+ 1.0 N) N 1)))
  (log (cbrt (fma (+ 1.0 N) N 1)))
  (exp (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (* (cbrt (fma (+ 1.0 N) N 1)) (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  1
  (cbrt (fma (+ 1.0 N) N 1))
  (* (cbrt (cbrt (fma (+ 1.0 N) N 1))) (cbrt (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (fma (+ 1.0 N) N 1)
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (expm1 (cbrt (fma (+ 1.0 N) N 1)))
  (log1p (cbrt (fma (+ 1.0 N) N 1)))
  (log (cbrt (fma (+ 1.0 N) N 1)))
  (exp (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (* (cbrt (fma (+ 1.0 N) N 1)) (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  (cbrt (sqrt (fma (+ 1.0 N) N 1)))
  1
  (cbrt (fma (+ 1.0 N) N 1))
  (* (cbrt (cbrt (fma (+ 1.0 N) N 1))) (cbrt (cbrt (fma (+ 1.0 N) N 1))))
  (cbrt (cbrt (fma (+ 1.0 N) N 1)))
  (fma (+ 1.0 N) N 1)
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (sqrt (cbrt (fma (+ 1.0 N) N 1)))
  (fma N (fma 0.2222222222222222 N 0.3333333333333333) 1)
  (fma 0.3333333333333333 (cbrt (/ 1 N)) (fma (cbrt (/ 1 (* (* N N) (* N N)))) 0.2222222222222222 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 N)) 0.3333333333333333 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 0.2222222222222222 (pow (/ -1 N) -2/3)))
  (fma N (fma 0.2222222222222222 N 0.3333333333333333) 1)
  (fma 0.3333333333333333 (cbrt (/ 1 N)) (fma (cbrt (/ 1 (* (* N N) (* N N)))) 0.2222222222222222 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 N)) 0.3333333333333333 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 0.2222222222222222 (pow (/ -1 N) -2/3)))
  (fma N (fma 0.2222222222222222 N 0.3333333333333333) 1)
  (fma 0.3333333333333333 (cbrt (/ 1 N)) (fma (cbrt (/ 1 (* (* N N) (* N N)))) 0.2222222222222222 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 N)) 0.3333333333333333 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 0.2222222222222222 (pow (/ -1 N) -2/3)))
  (fma N (fma 0.2222222222222222 N 0.3333333333333333) 1)
  (fma 0.3333333333333333 (cbrt (/ 1 N)) (fma (cbrt (/ 1 (* (* N N) (* N N)))) 0.2222222222222222 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 N)) 0.3333333333333333 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 0.2222222222222222 (pow (/ -1 N) -2/3)))
10.824 * * * [progress]: adding candidates to table
11.178 * [progress]: [Phase 3 of 3] Extracting.
11.178 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (* (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (* (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (* (* (cbrt (cbrt (fma N (+ 1.0 N) 1))) (cbrt (cbrt (fma N (+ 1.0 N) 1)))) (cbrt (cbrt (fma N (+ 1.0 N) 1)))))) (cbrt (cbrt (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (cbrt (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))))> #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (* (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1)))) (cbrt (cbrt (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>)
11.179 * * * [regime-changes]: Trying 1 branch expressions: (N)
11.179 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (* (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (cbrt (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (* (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (* (* (cbrt (cbrt (fma N (+ 1.0 N) 1))) (cbrt (cbrt (fma N (+ 1.0 N) 1)))) (cbrt (cbrt (fma N (+ 1.0 N) 1)))))) (cbrt (cbrt (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (cbrt (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))))> #<alt (λ (N) (atan2 1.0 (* (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1))) (* (cbrt (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1)))) (cbrt (cbrt (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>)
11.226 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
11.226 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ 1.0 N) 1))
11.226 * * [simplify]: iteration 0: 6 enodes
11.226 * * [simplify]: iteration 1: 9 enodes
11.227 * * [simplify]: iteration complete: 9 enodes
11.227 * * [simplify]: Extracting #0: cost 1 inf + 0
11.227 * * [simplify]: Extracting #1: cost 3 inf + 0
11.227 * * [simplify]: Extracting #2: cost 5 inf + 1
11.227 * * [simplify]: Extracting #3: cost 0 inf + 381
11.227 * [simplify]: Simplified to:
  (atan2 1.0 (fma N (+ N 1.0) 1))
13.135 * [regime-testing]: Baseline error score: 0.3674869924734383
13.144 * [regime-testing]: Oracle error score: 0.3343578513307955
13.163 * [regime-testing]: End program error score: 0.3674869924734383
13.237 * [regime-testing]: Target error score: 0.3694353563315106