12.546 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.032 * [progress]: [Phase 2 of 3] Improving.
0.033 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.033 * [simplify]: Sending expressions to egg_math:
 (- (atan (+ h0 h1)) (atan h0))
0.034 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.036 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.037 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.037 * * [progress]: iteration 1 / 4
0.037 * * * [progress]: picking best candidate
0.039 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.039 * * * [progress]: localizing error
0.045 * * * [progress]: generating rewritten candidates
0.045 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.052 * * * [progress]: generating series expansions
0.052 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.052 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.052 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.052 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.052 * [taylor]: Taking taylor expansion of (atan N) in N
0.052 * [backup-simplify]: Simplify (atan N) into (atan N)
0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.052 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.052 * [taylor]: Taking taylor expansion of (atan N) in N
0.052 * [backup-simplify]: Simplify (atan N) into (atan N)
0.053 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.053 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.053 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.053 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
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
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [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 (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.056 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.056 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.056 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.056 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.056 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.056 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.056 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.057 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.057 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.057 * [backup-simplify]: Simplify (- 0) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [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
0.058 * [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 (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.060 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.060 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.060 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.060 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.060 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.060 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.060 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.060 * [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 N)) in N
0.061 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.061 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.061 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.061 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.061 * [backup-simplify]: Simplify (- 0) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (- 0) into 0
0.062 * [backup-simplify]: Simplify (+ 0 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 0) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (- 0) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (- 0) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- 0) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.064 * * * [progress]: simplifying candidates
0.065 * [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))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.065 * [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))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
0.068 * * [simplify]: iteration  0 :  126  enodes  (cost  328 )
0.071 * * [simplify]: iteration  1 :  342  enodes  (cost  227 )
0.078 * * [simplify]: iteration  2 :  1471  enodes  (cost  217 )
0.109 * * [simplify]: iteration  3 :  5001  enodes  (cost  161 )
0.110 * * * [progress]: adding candidates to table
0.360 * * [progress]: iteration 2 / 4
0.360 * * * [progress]: picking best candidate
0.364 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>
0.365 * * * [progress]: localizing error
0.370 * * * [progress]: generating rewritten candidates
0.370 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.371 * * * [progress]: generating series expansions
0.371 * * * * [progress]: [ 1 / 1 ] generating series at (2)
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
0.371 * [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 N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.371 * [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))
0.371 * [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
0.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.372 * [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))
0.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.372 * [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
0.373 * [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))
0.373 * [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))
0.376 * * [simplify]: iteration  0 :  21  enodes  (cost  57 )
0.377 * * [simplify]: iteration  1 :  32  enodes  (cost  50 )
0.379 * * [simplify]: iteration  2 :  55  enodes  (cost  50 )
0.380 * * [simplify]: iteration  3 :  70  enodes  (cost  50 )
0.382 * * [simplify]: iteration  4 :  89  enodes  (cost  50 )
0.384 * * [simplify]: iteration  5 :  143  enodes  (cost  50 )
0.389 * * [simplify]: iteration  6 :  567  enodes  (cost  50 )
0.406 * * [simplify]: iteration  7 :  1779  enodes  (cost  50 )
0.470 * * [simplify]: iteration  8 :  5001  enodes  (cost  50 )
0.470 * * * [progress]: adding candidates to table
0.495 * * [progress]: iteration 3 / 4
0.495 * * * [progress]: picking best candidate
0.502 * * * * [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)))))>
0.502 * * * [progress]: localizing error
0.510 * * * [progress]: generating rewritten candidates
0.510 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.512 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.513 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.525 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.528 * * * [progress]: generating series expansions
0.528 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.528 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.528 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.528 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.528 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.528 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.528 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.528 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.528 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.528 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.528 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.529 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.530 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.532 * [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
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.532 * [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)))
0.532 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.532 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.532 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.532 * [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))
0.532 * [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)))
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.532 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.532 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.533 * [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))
0.533 * [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)))
0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.533 * [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)))
0.533 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.535 * [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
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [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
0.535 * [backup-simplify]: Simplify 0 into 0
0.536 * [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
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [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)))
0.536 * [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)))
0.536 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.536 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.536 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.537 * [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))
0.537 * [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)))
0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.537 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.537 * [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))
0.537 * [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)))
0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.537 * [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)))
0.537 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.539 * [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
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [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
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [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
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [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)))
0.541 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.541 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.541 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.541 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.541 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.541 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.541 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.541 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.541 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.541 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.541 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.541 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.541 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [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
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.545 * [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)))
0.545 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.545 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.545 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.545 * [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))
0.545 * [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)))
0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.545 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.545 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.545 * [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))
0.545 * [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)))
0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.545 * [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)))
0.545 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.546 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [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
0.547 * [backup-simplify]: Simplify 0 into 0
0.548 * [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
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [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
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [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)))
0.549 * [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)))
0.549 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.549 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.549 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.549 * [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))
0.549 * [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)))
0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.549 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.549 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.549 * [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))
0.549 * [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)))
0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.550 * [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)))
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.552 * [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
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [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
0.552 * [backup-simplify]: Simplify 0 into 0
0.553 * [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
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [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)))
0.553 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.553 * [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))
0.553 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.553 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.553 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.553 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.553 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.554 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.554 * [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))
0.554 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.554 * [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))
0.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.554 * [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))
0.554 * [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))
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.555 * [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))
0.555 * [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))
0.555 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.555 * [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))
0.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.555 * [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))
0.555 * [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))
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [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))
0.555 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.556 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.556 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.556 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.556 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.556 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.556 * [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))
0.556 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.556 * [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))
0.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.556 * [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))
0.557 * [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))
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [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))
0.557 * [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))
0.557 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.557 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.557 * [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))
0.557 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.557 * [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))
0.557 * [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))
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.558 * [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))
0.558 * * * [progress]: simplifying candidates
0.559 * [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))
0.559 * [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))
0.564 * * [simplify]: iteration  0 :  100  enodes  (cost  554 )
0.566 * * [simplify]: iteration  1 :  375  enodes  (cost  496 )
0.577 * * [simplify]: iteration  2 :  2244  enodes  (cost  476 )
0.659 * * [simplify]: iteration  3 :  5001  enodes  (cost  461 )
0.661 * * * [progress]: adding candidates to table
0.822 * * [progress]: iteration 4 / 4
0.822 * * * [progress]: picking best candidate
0.833 * * * * [pick]: Picked  #<alt (λ (N) (* (* (sqrt (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)))))>
0.833 * * * [progress]: localizing error
0.847 * * * [progress]: generating rewritten candidates
0.847 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.848 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
0.850 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
0.851 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
0.908 * * * [progress]: generating series expansions
0.908 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.909 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.909 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.909 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.909 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.909 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.909 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.909 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.909 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.909 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.909 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.909 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.909 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.910 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.911 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.911 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.913 * [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
0.913 * [backup-simplify]: Simplify 0 into 0
0.913 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.913 * [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)))
0.913 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.913 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.913 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.913 * [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))
0.913 * [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)))
0.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.913 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.913 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.913 * [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))
0.913 * [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)))
0.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.914 * [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)))
0.914 * [backup-simplify]: Simplify 0 into 0
0.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.914 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.915 * [backup-simplify]: Simplify 0 into 0
0.916 * [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
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [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
0.916 * [backup-simplify]: Simplify 0 into 0
0.917 * [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
0.917 * [backup-simplify]: Simplify 0 into 0
0.917 * [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)))
0.917 * [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)))
0.917 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.917 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.917 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.917 * [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))
0.917 * [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)))
0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.918 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.918 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.918 * [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))
0.918 * [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)))
0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.918 * [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)))
0.918 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.920 * [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
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [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
0.920 * [backup-simplify]: Simplify 0 into 0
0.921 * [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
0.921 * [backup-simplify]: Simplify 0 into 0
0.922 * [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)))
0.922 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
0.922 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.922 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.922 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.922 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.922 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.922 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.922 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.922 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.922 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.922 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.922 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.922 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.923 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [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
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.926 * [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)))
0.926 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.926 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.926 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.926 * [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))
0.926 * [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)))
0.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.926 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.926 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.926 * [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))
0.926 * [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)))
0.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.926 * [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)))
0.926 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.927 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [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
0.928 * [backup-simplify]: Simplify 0 into 0
0.929 * [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
0.929 * [backup-simplify]: Simplify 0 into 0
0.930 * [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
0.930 * [backup-simplify]: Simplify 0 into 0
0.930 * [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)))
0.930 * [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)))
0.930 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.930 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.930 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.930 * [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))
0.930 * [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)))
0.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.930 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.930 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.931 * [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))
0.931 * [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)))
0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.931 * [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)))
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.932 * [backup-simplify]: Simplify 0 into 0
0.933 * [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
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [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
0.933 * [backup-simplify]: Simplify 0 into 0
0.934 * [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
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [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)))
0.934 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
0.934 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.934 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.934 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.934 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.934 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.935 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.935 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.935 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.935 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.935 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.935 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.935 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.936 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.938 * [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
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.938 * [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)))
0.938 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.938 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.938 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.938 * [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))
0.938 * [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)))
0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.939 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.939 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.939 * [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))
0.939 * [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)))
0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.939 * [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)))
0.939 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.940 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.940 * [backup-simplify]: Simplify 0 into 0
0.941 * [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
0.941 * [backup-simplify]: Simplify 0 into 0
0.942 * [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
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [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
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [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)))
0.942 * [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)))
0.943 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.943 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.943 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.943 * [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))
0.943 * [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)))
0.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.943 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.943 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.943 * [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))
0.943 * [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)))
0.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.943 * [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)))
0.943 * [backup-simplify]: Simplify 0 into 0
0.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.944 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.945 * [backup-simplify]: Simplify 0 into 0
0.945 * [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
0.945 * [backup-simplify]: Simplify 0 into 0
0.946 * [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
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [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
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [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)))
0.947 * * * * [progress]: [ 4 / 4 ] generating series at (2)
0.947 * [backup-simplify]: Simplify (* (* (sqrt (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)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.947 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.947 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.947 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.947 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.947 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.947 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.948 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) (sqrt (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))
0.948 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.948 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.948 * [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))
0.948 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.948 * [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))
0.948 * [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))
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [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))
0.949 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) (sqrt (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))
0.949 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.949 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.949 * [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))
0.949 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.949 * [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))
0.949 * [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))
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 0 into 0
0.950 * [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))
0.950 * * * [progress]: simplifying candidates
0.951 * [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))))
  (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 (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)))))
  (log1p (* (* (sqrt (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)))))
  (+ (+ 1/2 1/2) 1)
  (+ (+ 1/2 (/ 1 2)) 1)
  (+ (+ (/ 1/2 2) (/ 1/2 2)) 1/2)
  (+ (+ (/ 1/2 2) (/ 1/2 2)) (/ 1 2))
  (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) 1/2)
  (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (/ 1 2))
  (+ (+ (/ 1 2) 1/2) 1)
  (+ (+ (/ 1 2) (/ 1 2)) 1)
  (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) 1/2)
  (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (/ 1 2))
  (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 1/2)
  (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (/ 1 2))
  (+ (* 2 1/2) 1)
  (+ (* 2 (/ 1/2 2)) 1/2)
  (+ (* 2 (/ 1/2 2)) (/ 1 2))
  (+ (* 2 (/ 1 2)) 1)
  (+ (* 2 (/ (/ 1 2) 2)) 1/2)
  (+ (* 2 (/ (/ 1 2) 2)) (/ 1 2))
  (* (* (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)))
  (* (* (sqrt (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)))) (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 (atan2 1.0 (fma N (+ N 1.0) 1))))
  (+ (+ 1/2 1/2) 1)
  (+ (+ 1/2 (/ 1 2)) 1)
  (+ (+ (/ 1 2) 1/2) 1)
  (+ (+ (/ 1 2) (/ 1 2)) 1)
  (+ (* 2 1/2) 1)
  (+ (* 2 (/ 1 2)) 1)
  (+ (+ (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (+ (log (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log (* (* (sqrt (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)))))
  (exp (* (* (sqrt (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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)))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (* (* (sqrt (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 (* (* (sqrt (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 (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)))) (sqrt (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 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (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 (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 (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)
  (* (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 (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))
0.952 * [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))))
 (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 (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)))))
 (log1p (* (* (sqrt (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)))))
 (+ (+ 1/2 1/2) 1)
 (+ (+ 1/2 (/ 1 2)) 1)
 (+ (+ (/ 1/2 2) (/ 1/2 2)) 1/2)
 (+ (+ (/ 1/2 2) (/ 1/2 2)) (/ 1 2))
 (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) 1/2)
 (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (/ 1 2))
 (+ (+ (/ 1 2) 1/2) 1)
 (+ (+ (/ 1 2) (/ 1 2)) 1)
 (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) 1/2)
 (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (/ 1 2))
 (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 1/2)
 (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (/ 1 2))
 (+ (* 2 1/2) 1)
 (+ (* 2 (/ 1/2 2)) 1/2)
 (+ (* 2 (/ 1/2 2)) (/ 1 2))
 (+ (* 2 (/ 1 2)) 1)
 (+ (* 2 (/ (/ 1 2) 2)) 1/2)
 (+ (* 2 (/ (/ 1 2) 2)) (/ 1 2))
 (* (* (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (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 (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)))
 (* (* (sqrt (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))))
 (+ (+ 1/2 1/2) 1)
 (+ (+ 1/2 (/ 1 2)) 1)
 (+ (+ (/ 1 2) 1/2) 1)
 (+ (+ (/ 1 2) (/ 1 2)) 1)
 (+ (* 2 1/2) 1)
 (+ (* 2 (/ 1 2)) 1)
 (+ (+ (log (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) (log (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))) (log (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (+ (log (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))) (log (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (log (* (* (sqrt (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)))))
 (exp (* (* (sqrt (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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)))) (atan2 h0 (fma h1 (+ h1 h0) 1)))
 (sqrt (* (* (sqrt (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 (* (* (sqrt (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 (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)))) (sqrt (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 (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (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 (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 (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)
 (* (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 (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))
0.957 * * [simplify]: iteration  0 :  197  enodes  (cost  608 )
0.960 * * [simplify]: iteration  1 :  590  enodes  (cost  481 )
0.980 * * [simplify]: iteration  2 :  3838  enodes  (cost  465 )
1.128 * * [simplify]: iteration  3 :  5001  enodes  (cost  465 )
1.131 * * * [progress]: adding candidates to table
1.309 * [progress]: [Phase 3 of 3] Extracting.
1.309 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (* (* (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))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (* (* (fabs (cbrt (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))))))> #<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))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (* (sqrt (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)))))> #<alt (λ (N) (* (* (* (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)))))>)
1.310 * * * [regime-changes]: Trying 1 branch expressions: (N)
1.310 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (* (* (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))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (* (* (fabs (cbrt (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))))))> #<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))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (* (sqrt (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)))))> #<alt (λ (N) (* (* (* (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)))))>)
1.336 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
1.336 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ N 1.0) 1))
1.336 * [simplify]: Sending expressions to egg_math:
 (atan2 h0 (fma h1 (+ h1 h0) 1))
1.337 * * [simplify]: iteration  0 :  9  enodes  (cost  3 )
1.337 * * [simplify]: iteration  1 :  9  enodes  (cost  3 )
2.408 * [regime-testing]: Baseline error score: 0.39945879104686705
2.409 * [regime-testing]: Oracle error score: 0.3544531653436542
2.410 * [regime-testing]: End program error score: 0.39945879104686705
2.433 * [regime-testing]: Target error score: 0.40195910358593445