6.750 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.026 * * * [progress]: [2/2] Setting up program.
0.028 * [progress]: [Phase 2 of 3] Improving.
0.028 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.028 * [simplify]: Sending expressions to egg_math:
 (- (atan (+ h0 h1)) (atan h0))
0.030 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.031 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.033 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.033 * * [progress]: iteration 1 / 4
0.033 * * * [progress]: picking best candidate
0.035 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.035 * * * [progress]: localizing error
0.040 * * * [progress]: generating rewritten candidates
0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.049 * * * [progress]: generating series expansions
0.049 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.049 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.049 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.049 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.049 * [taylor]: Taking taylor expansion of (atan N) in N
0.049 * [backup-simplify]: Simplify (atan N) into (atan N)
0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.049 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.049 * [taylor]: Taking taylor expansion of (atan N) in N
0.049 * [backup-simplify]: Simplify (atan N) into (atan N)
0.050 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.050 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.050 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.050 * [backup-simplify]: Simplify (- 0) into 0
0.050 * [backup-simplify]: Simplify (+ 0 0) into 0
0.050 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify (- 0) into 0
0.051 * [backup-simplify]: Simplify (+ 0 0) into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify (- 0) into 0
0.051 * [backup-simplify]: Simplify (+ 0 0) into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.053 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.053 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.053 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.053 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.053 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.053 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.053 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.053 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.053 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.053 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.053 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.053 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.053 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.053 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.054 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.054 * [backup-simplify]: Simplify (- 0) into 0
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify (- 0) into 0
0.055 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify (- 0) into 0
0.055 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify (- 0) into 0
0.055 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.057 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.057 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.057 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.057 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.057 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.057 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.057 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.057 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.057 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (- 0) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.060 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.060 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.060 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.060 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.060 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.060 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.060 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.061 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.061 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.061 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.061 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.061 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.061 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.061 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.061 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.062 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.062 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.062 * * * [progress]: simplifying candidates
0.063 * [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))
0.063 * [simplify]: Sending expressions to egg_math:
 (fma (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (- (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0))))))
 (fma (- (cbrt (atan h0))) (* (cbrt (atan h0)) (cbrt (atan h0))) (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0)))))
 (fma (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (- (* (sqrt (atan h0)) (sqrt (atan h0)))))
 (fma (- (sqrt (atan h0))) (sqrt (atan h0)) (* (sqrt (atan h0)) (sqrt (atan h0))))
 (fma (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (- (* (atan h0) 1)))
 (fma (- (atan h0)) 1 (* (atan h0) 1))
 (fma (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0))))))
 (fma (- (cbrt (atan h0))) (* (cbrt (atan h0)) (cbrt (atan h0))) (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0)))))
 (fma (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (* (sqrt (atan h0)) (sqrt (atan h0)))))
 (fma (- (sqrt (atan h0))) (sqrt (atan h0)) (* (sqrt (atan h0)) (sqrt (atan h0))))
 (fma (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (* (atan h0) 1)))
 (fma (- (atan h0)) 1 (* (atan h0) 1))
 (fma 1 (atan (+ h0 h1)) (- (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0))))))
 (fma (- (cbrt (atan h0))) (* (cbrt (atan h0)) (cbrt (atan h0))) (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0)))))
 (fma 1 (atan (+ h0 h1)) (- (* (sqrt (atan h0)) (sqrt (atan h0)))))
 (fma (- (sqrt (atan h0))) (sqrt (atan h0)) (* (sqrt (atan h0)) (sqrt (atan h0))))
 (fma 1 (atan (+ h0 h1)) (- (* (atan h0) 1)))
 (fma (- (atan h0)) 1 (* (atan h0) 1))
 (expm1 (- (atan (+ h0 h1)) (atan h0)))
 (log1p (- (atan (+ h0 h1)) (atan h0)))
 (- (atan h0))
 (- (atan h0))
 (- (atan h0))
 (- (+ h0 h1) h0)
 (+ 1 (* (+ h0 h1) h0))
 (/ (exp (atan (+ h0 h1))) (exp (atan h0)))
 (log (- (atan (+ h0 h1)) (atan h0)))
 (exp (- (atan (+ h0 h1)) (atan h0)))
 (* (cbrt (- (atan (+ h0 h1)) (atan h0))) (cbrt (- (atan (+ h0 h1)) (atan h0))))
 (cbrt (- (atan (+ h0 h1)) (atan h0)))
 (* (* (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0))) (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (sqrt (- (atan (+ h0 h1)) (atan h0)))
 (- (pow (atan (+ h0 h1)) 3) (pow (atan h0) 3))
 (+ (* (atan (+ h0 h1)) (atan (+ h0 h1))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 h1)) (atan h0))))
 (- (atan h0))
 (- (* (atan (+ h0 h1)) (atan (+ h0 h1))) (* (atan h0) (atan h0)))
 (+ (atan (+ h0 h1)) (atan h0))
 (+ (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (sqrt (atan (+ h0 h1))) (sqrt (atan h0)))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan h0))
 (expm1 (atan (+ h0 h1)))
 (log1p (atan (+ h0 h1)))
 (log (atan (+ h0 h1)))
 (exp (atan (+ h0 h1)))
 (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1))))
 (cbrt (atan (+ h0 h1)))
 (* (* (atan (+ h0 h1)) (atan (+ h0 h1))) (atan (+ h0 h1)))
 (sqrt (atan (+ h0 h1)))
 (sqrt (atan (+ h0 h1)))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (atan (+ h0 h1))
 (atan (+ h0 h1))
 (atan (+ h0 h1))
0.066 * * [simplify]: iteration  0 :  129  enodes  (cost  365 )
0.069 * * [simplify]: iteration  1 :  345  enodes  (cost  264 )
0.077 * * [simplify]: iteration  2 :  1480  enodes  (cost  254 )
0.109 * * [simplify]: iteration  3 :  5001  enodes  (cost  198 )
0.111 * * * [progress]: adding candidates to table
0.177 * * [progress]: iteration 2 / 4
0.177 * * * [progress]: picking best candidate
0.179 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>
0.179 * * * [progress]: localizing error
0.188 * * * [progress]: generating rewritten candidates
0.188 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.188 * * * [progress]: generating series expansions
0.188 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.189 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.189 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.189 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.189 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.189 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.189 * [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))
0.189 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.189 * [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))
0.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.189 * [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))
0.190 * [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))
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [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))
0.190 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.190 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.190 * [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))
0.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.190 * [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))
0.190 * [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))
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [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))
0.191 * * * [progress]: simplifying candidates
0.191 * [simplify]: Simplifying:
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (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))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (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))
  (atan2 1.0 (fma N (+ N 1.0) 1))
0.191 * [simplify]: Sending expressions to egg_math:
 (expm1 (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log1p (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (exp (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (* (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1))) (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
0.193 * * [simplify]: iteration  0 :  21  enodes  (cost  57 )
0.195 * * [simplify]: iteration  1 :  32  enodes  (cost  50 )
0.196 * * [simplify]: iteration  2 :  55  enodes  (cost  50 )
0.198 * * [simplify]: iteration  3 :  70  enodes  (cost  50 )
0.199 * * [simplify]: iteration  4 :  89  enodes  (cost  50 )
0.201 * * [simplify]: iteration  5 :  143  enodes  (cost  50 )
0.206 * * [simplify]: iteration  6 :  567  enodes  (cost  50 )
0.222 * * [simplify]: iteration  7 :  1779  enodes  (cost  50 )
0.287 * * [simplify]: iteration  8 :  5001  enodes  (cost  50 )
0.287 * * * [progress]: adding candidates to table
0.308 * * [progress]: iteration 3 / 4
0.308 * * * [progress]: picking best candidate
0.313 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))>
0.314 * * * [progress]: localizing error
0.321 * * * [progress]: generating rewritten candidates
0.322 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.323 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.324 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.337 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.343 * * * [progress]: generating series expansions
0.343 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.343 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.343 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.344 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.344 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.344 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.344 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.344 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.344 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.344 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.344 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.344 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.344 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.348 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.348 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.348 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.348 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.348 * [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))
0.348 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.348 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.348 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.348 * [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))
0.348 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.349 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.351 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.352 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.352 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.352 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.352 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.352 * [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))
0.352 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.352 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.352 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.353 * [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))
0.353 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.353 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.353 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.356 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.356 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.356 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.356 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.356 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.356 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.357 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.357 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.357 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.357 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.357 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.357 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.357 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.360 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.360 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.360 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.360 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.360 * [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))
0.360 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.361 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.361 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.361 * [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))
0.361 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.361 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.361 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.364 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.364 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.364 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.364 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.365 * [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))
0.365 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.365 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.365 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.365 * [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))
0.365 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.365 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.366 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.367 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.369 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.369 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.369 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.369 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.369 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.369 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.369 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.369 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.369 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
0.369 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.370 * [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))
0.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.370 * [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))
0.370 * [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))
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [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))
0.370 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.370 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.370 * [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))
0.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.371 * [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))
0.371 * [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))
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [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))
0.371 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.371 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.371 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.371 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.371 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.371 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.372 * [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))
0.372 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.372 * [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))
0.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.372 * [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))
0.372 * [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))
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [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))
0.372 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.372 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.373 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.373 * [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))
0.373 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.373 * [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))
0.373 * [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))
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [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))
0.373 * * * [progress]: simplifying candidates
0.374 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log1p (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (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 1)
  (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (exp (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (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)))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1)
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (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))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (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))
  (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))
  (atan2 1.0 (fma N (+ N 1.0) 1))
0.375 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (log1p (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (log (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (exp (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (sqrt (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt 1)
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (/ 1 2)
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (expm1 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (log1p (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (log (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (exp (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (sqrt (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt 1)
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (/ 1 2)
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (expm1 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (log1p (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (* (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (+ 1 1)
 (+ (log (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (log (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (log (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (exp (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (* (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (* (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (cbrt (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) (cbrt (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))))
 (cbrt (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (* (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (sqrt (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))))
 (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) (sqrt (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))))
 (* (sqrt (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* 1 1)
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt 1))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) 1)
 (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (sqrt (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (expm1 (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log1p (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (exp (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (* (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1))) (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
0.380 * * [simplify]: iteration  0 :  100  enodes  (cost  554 )
0.383 * * [simplify]: iteration  1 :  375  enodes  (cost  496 )
0.394 * * [simplify]: iteration  2 :  2244  enodes  (cost  476 )
0.478 * * [simplify]: iteration  3 :  5001  enodes  (cost  461 )
0.481 * * * [progress]: adding candidates to table
0.636 * * [progress]: iteration 4 / 4
0.636 * * * [progress]: picking best candidate
0.645 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))>
0.645 * * * [progress]: localizing error
0.656 * * * [progress]: generating rewritten candidates
0.656 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
0.657 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
0.659 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
0.659 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
0.660 * * * [progress]: generating series expansions
0.660 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
0.660 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.660 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.660 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.660 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.660 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.660 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.660 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.660 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.660 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.660 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.661 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.661 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.662 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.664 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.664 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.664 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.664 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.664 * [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))
0.664 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.664 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.664 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.665 * [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))
0.665 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.665 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.666 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.666 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.668 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.668 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.668 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.668 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.668 * [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))
0.669 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.669 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.669 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.669 * [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))
0.669 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.669 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.669 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.671 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.672 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
0.673 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.673 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.673 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.673 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.673 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.673 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.673 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.673 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.673 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.673 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.676 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.676 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.676 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.676 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.677 * [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))
0.677 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.677 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.677 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.677 * [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))
0.677 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.677 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.677 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.679 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.680 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.681 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.681 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.681 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.681 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.681 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.681 * [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))
0.681 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.681 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.681 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.681 * [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))
0.682 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.682 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.682 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.683 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.684 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.685 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
0.685 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.685 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.685 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.685 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.685 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.685 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.685 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.686 * [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))
0.686 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.686 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.686 * [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))
0.686 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.686 * [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))
0.686 * [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))
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [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))
0.687 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.687 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.687 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.687 * [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))
0.687 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.687 * [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))
0.687 * [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))
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [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))
0.687 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
0.687 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.687 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.687 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.687 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.687 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.687 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.688 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.688 * [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))
0.688 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.688 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.688 * [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))
0.688 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.688 * [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))
0.688 * [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))
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [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))
0.689 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.689 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.689 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.689 * [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))
0.689 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.689 * [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))
0.689 * [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))
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [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))
0.689 * * * [progress]: simplifying candidates
0.690 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (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))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (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))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (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))
  (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))
  (atan2 1.0 (fma N (+ N 1.0) 1))
0.690 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (log1p (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (log (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (exp (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (sqrt (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt 1)
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (/ 1 2)
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (expm1 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (log1p (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (log (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (exp (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (* (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (sqrt (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt 1)
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (/ 1 2)
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (expm1 (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log1p (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (exp (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (* (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1))) (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (expm1 (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log1p (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (log (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (exp (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))
 (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (* (* (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1))) (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
0.693 * * [simplify]: iteration  0 :  37  enodes  (cost  296 )
0.695 * * [simplify]: iteration  1 :  62  enodes  (cost  276 )
0.697 * * [simplify]: iteration  2 :  100  enodes  (cost  276 )
0.699 * * [simplify]: iteration  3 :  148  enodes  (cost  276 )
0.701 * * [simplify]: iteration  4 :  341  enodes  (cost  276 )
0.708 * * [simplify]: iteration  5 :  975  enodes  (cost  276 )
0.736 * * [simplify]: iteration  6 :  3911  enodes  (cost  274 )
0.865 * * [simplify]: iteration  7 :  5001  enodes  (cost  274 )
0.868 * * * [progress]: adding candidates to table
1.039 * [progress]: [Phase 3 of 3] Extracting.
1.039 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (* (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (sqrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3))))>)
1.040 * * * [regime-changes]: Trying 1 branch expressions: (N)
1.040 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (* (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (sqrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3))))>)
1.065 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
1.066 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ N 1.0) 1))
1.066 * [simplify]: Sending expressions to egg_math:
 (atan2 h0 (fma h1 (+ h1 h0) 1))
1.066 * * [simplify]: iteration  0 :  9  enodes  (cost  3 )
1.067 * * [simplify]: iteration  1 :  9  enodes  (cost  3 )
2.188 * [regime-testing]: Baseline error score: 0.32366976526681707
2.189 * [regime-testing]: Oracle error score: 0.27953924895227783
2.191 * [regime-testing]: End program error score: 0.32366976526681707
2.225 * [regime-testing]: Target error score: 0.3249930509901226