6.667 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.029 * * * [progress]: [2/2] Setting up program.
0.030 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.031 * [simplify]: Sending expressions to egg_math:
 (- (atan (+ h0 h1)) (atan h0))
0.033 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.034 * * [simplify]: iteration  1 :  10  enodes  (cost  4 )
0.035 * * [simplify]: iteration  2 :  10  enodes  (cost  4 )
0.036 * * [progress]: iteration 1 / 4
0.036 * * * [progress]: picking best candidate
0.037 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.037 * * * [progress]: localizing error
0.043 * * * [progress]: generating rewritten candidates
0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.051 * * * [progress]: generating series expansions
0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.051 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.051 * [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)
0.052 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.052 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.052 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (- 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
0.054 * [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 (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.055 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.055 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.055 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.055 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.055 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.055 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.056 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 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 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify 0 into 0
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
0.057 * [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
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.059 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.059 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.059 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.059 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.059 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.059 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.059 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.059 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.059 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.059 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.059 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.059 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.059 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
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
0.061 * [backup-simplify]: Simplify (- 0) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [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
0.062 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.062 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.062 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.062 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.062 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.062 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.063 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.063 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.063 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.063 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.063 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.064 * [backup-simplify]: Simplify 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 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
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))
  (expm1 (atan (+ N 1.0)))
  (log1p (atan (+ N 1.0)))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.065 * [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))
 (expm1 (atan (+ h0 h1)))
 (log1p (atan (+ h0 h1)))
 (log (atan (+ h0 h1)))
 (exp (atan (+ h0 h1)))
 (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1))))
 (cbrt (atan (+ h0 h1)))
 (* (* (atan (+ h0 h1)) (atan (+ h0 h1))) (atan (+ h0 h1)))
 (sqrt (atan (+ h0 h1)))
 (sqrt (atan (+ h0 h1)))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (- (atan (+ h0 h1)) (atan h0))
 (atan (+ h0 h1))
 (atan (+ h0 h1))
 (atan (+ h0 h1))
0.068 * * [simplify]: iteration  0 :  129  enodes  (cost  365 )
0.071 * * [simplify]: iteration  1 :  345  enodes  (cost  264 )
0.078 * * [simplify]: iteration  2 :  1480  enodes  (cost  254 )
0.110 * * [simplify]: iteration  3 :  5001  enodes  (cost  198 )
0.111 * * * [progress]: adding candidates to table
0.176 * * [progress]: iteration 2 / 4
0.176 * * * [progress]: picking best candidate
0.178 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>
0.178 * * * [progress]: localizing error
0.183 * * * [progress]: generating rewritten candidates
0.183 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.184 * * * [progress]: generating series expansions
0.184 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.184 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.184 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.184 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.184 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.184 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.184 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.184 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.184 * [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))
0.184 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.184 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.184 * [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))
0.184 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.185 * [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))
0.185 * [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))
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [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))
0.185 * [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))
0.185 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.185 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.185 * [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))
0.185 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.185 * [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))
0.185 * [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))
0.185 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [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))
0.186 * * * [progress]: simplifying candidates
0.189 * [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))
0.189 * [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))
0.192 * * [simplify]: iteration  0 :  21  enodes  (cost  57 )
0.193 * * [simplify]: iteration  1 :  32  enodes  (cost  50 )
0.194 * * [simplify]: iteration  2 :  55  enodes  (cost  50 )
0.196 * * [simplify]: iteration  3 :  70  enodes  (cost  50 )
0.198 * * [simplify]: iteration  4 :  89  enodes  (cost  50 )
0.200 * * [simplify]: iteration  5 :  143  enodes  (cost  50 )
0.205 * * [simplify]: iteration  6 :  567  enodes  (cost  50 )
0.219 * * [simplify]: iteration  7 :  1779  enodes  (cost  50 )
0.282 * * [simplify]: iteration  8 :  5001  enodes  (cost  50 )
0.282 * * * [progress]: adding candidates to table
0.303 * * [progress]: iteration 3 / 4
0.303 * * * [progress]: picking best candidate
0.308 * * * * [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)))))>
0.308 * * * [progress]: localizing error
0.316 * * * [progress]: generating rewritten candidates
0.316 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.318 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.330 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.333 * * * [progress]: generating series expansions
0.333 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.333 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.333 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.333 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.333 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.333 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.334 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.334 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.334 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.334 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.334 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.334 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.334 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [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
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.341 * [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)))
0.341 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.341 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.341 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.341 * [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))
0.341 * [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)))
0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.341 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.341 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.341 * [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))
0.341 * [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)))
0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.342 * [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)))
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [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
0.343 * [backup-simplify]: Simplify 0 into 0
0.344 * [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
0.344 * [backup-simplify]: Simplify 0 into 0
0.345 * [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
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [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)))
0.345 * [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)))
0.345 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.345 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.345 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.345 * [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))
0.345 * [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)))
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.345 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.345 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.345 * [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))
0.346 * [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)))
0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.346 * [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)))
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [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
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [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
0.348 * [backup-simplify]: Simplify 0 into 0
0.349 * [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
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [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)))
0.349 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.349 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.349 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.349 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.349 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.349 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.349 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.349 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.349 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.350 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.350 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.350 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.350 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.351 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.353 * [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
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.353 * [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)))
0.353 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.353 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.353 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.353 * [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))
0.353 * [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)))
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.353 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.353 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.353 * [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))
0.353 * [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)))
0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.354 * [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)))
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [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
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [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
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [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)))
0.357 * [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)))
0.357 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.357 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.357 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.357 * [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))
0.357 * [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)))
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.357 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.357 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.358 * [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))
0.358 * [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)))
0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.358 * [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)))
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.360 * [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
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [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
0.360 * [backup-simplify]: Simplify 0 into 0
0.361 * [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
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [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)))
0.361 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.361 * [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))
0.361 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.361 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.361 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.361 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.361 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.361 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.362 * [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))
0.362 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.362 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.362 * [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))
0.362 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.362 * [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))
0.362 * [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))
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [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))
0.363 * [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))
0.363 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.363 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.363 * [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))
0.363 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.363 * [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))
0.363 * [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))
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [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))
0.363 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.363 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.364 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.364 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.364 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.364 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.364 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.364 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.364 * [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))
0.364 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.364 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.364 * [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))
0.364 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.364 * [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))
0.364 * [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))
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [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))
0.365 * [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))
0.365 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.365 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.365 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.365 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.365 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.365 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [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))
0.365 * * * [progress]: simplifying candidates
0.367 * [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))
0.367 * [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))
0.372 * * [simplify]: iteration  0 :  100  enodes  (cost  554 )
0.375 * * [simplify]: iteration  1 :  375  enodes  (cost  496 )
0.386 * * [simplify]: iteration  2 :  2244  enodes  (cost  476 )
0.467 * * [simplify]: iteration  3 :  5001  enodes  (cost  461 )
0.470 * * * [progress]: adding candidates to table
0.622 * * [progress]: iteration 4 / 4
0.622 * * * [progress]: picking best candidate
0.630 * * * * [pick]: Picked  #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))>
0.630 * * * [progress]: localizing error
0.640 * * * [progress]: generating rewritten candidates
0.640 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.641 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
0.643 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.647 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
0.649 * * * [progress]: generating series expansions
0.649 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.650 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.650 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.650 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.650 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.650 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.650 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.651 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.652 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [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
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.654 * [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)))
0.654 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.654 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.654 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.654 * [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))
0.654 * [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)))
0.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.654 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.654 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.654 * [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))
0.654 * [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)))
0.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.654 * [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)))
0.654 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.655 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [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
0.656 * [backup-simplify]: Simplify 0 into 0
0.657 * [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
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [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
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [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)))
0.658 * [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)))
0.658 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.658 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.658 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.658 * [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))
0.658 * [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)))
0.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.658 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.658 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.658 * [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))
0.658 * [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)))
0.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.658 * [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)))
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.660 * [backup-simplify]: Simplify 0 into 0
0.660 * [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
0.660 * [backup-simplify]: Simplify 0 into 0
0.661 * [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
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [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
0.661 * [backup-simplify]: Simplify 0 into 0
0.662 * [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)))
0.662 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
0.662 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.662 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
0.662 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.662 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.662 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.662 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.662 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.662 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.662 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.662 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.662 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.662 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [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
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.665 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.665 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
0.665 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.665 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.666 * [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))
0.666 * [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)))
0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.666 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.666 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.666 * [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))
0.666 * [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)))
0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.666 * [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)))
0.666 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.669 * [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
0.669 * [backup-simplify]: Simplify 0 into 0
0.669 * [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
0.669 * [backup-simplify]: Simplify 0 into 0
0.670 * [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)))
0.670 * [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)))
0.670 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
0.670 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.670 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.670 * [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))
0.670 * [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)))
0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.670 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.670 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.670 * [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))
0.670 * [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)))
0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.671 * [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)))
0.671 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.671 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.673 * [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
0.673 * [backup-simplify]: Simplify 0 into 0
0.674 * [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
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [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)))
0.674 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.674 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 3)
0.674 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 3) in (N) around 0
0.674 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 3) in N
0.674 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) in N
0.674 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N
0.674 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N
0.674 * [taylor]: Taking taylor expansion of 1/4 in N
0.674 * [backup-simplify]: Simplify 1/4 into 1/4
0.674 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.674 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.674 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.674 * [backup-simplify]: Simplify (log (atan2 1.0 (fma N (+ N 1.0) 1))) into (log (atan2 1.0 (fma N (+ N 1.0) 1)))
0.674 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) into (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))
0.674 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) into (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)
0.674 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 3) in N
0.674 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) in N
0.675 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N
0.675 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N
0.675 * [taylor]: Taking taylor expansion of 1/4 in N
0.675 * [backup-simplify]: Simplify 1/4 into 1/4
0.675 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N
0.675 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.675 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.675 * [backup-simplify]: Simplify (log (atan2 1.0 (fma N (+ N 1.0) 1))) into (log (atan2 1.0 (fma N (+ N 1.0) 1)))
0.675 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) into (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))
0.675 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) into (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)
0.675 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
0.675 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4)
0.676 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4)
0.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 1) into 0
0.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.677 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.677 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4))) into 0
0.678 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 2) into 0
0.679 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1)))))) into 0
0.680 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.681 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)))) into 0
0.681 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) into 0
0.681 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 6) into 0
0.688 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1))))))) into 0
0.689 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.689 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4))))) into 0
0.690 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) into 0
0.690 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 24) into 0
0.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1)))))))) into 0
0.695 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.696 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)))))) into 0
0.697 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))) into 0
0.697 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 120) into 0
0.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1))))))))) into 0
0.705 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.706 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4))))))) into 0
0.707 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))))) into 0
0.707 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 720) into 0
0.716 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1)))))))))) into 0
0.719 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.720 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)))))))) into 0
0.721 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))))) into 0
0.721 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4)
0.722 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) 3) into (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 3)
0.722 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 3) in (N) around 0
0.722 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 3) in N
0.722 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) in N
0.722 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N
0.722 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
0.722 * [taylor]: Taking taylor expansion of 1/4 in N
0.722 * [backup-simplify]: Simplify 1/4 into 1/4
0.722 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.722 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.722 * [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))
0.722 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.722 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))
0.723 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)
0.723 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 3) in N
0.723 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) in N
0.723 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N
0.723 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N
0.723 * [taylor]: Taking taylor expansion of 1/4 in N
0.723 * [backup-simplify]: Simplify 1/4 into 1/4
0.723 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
0.723 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.723 * [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))
0.723 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.723 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))
0.723 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)
0.723 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
0.724 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3) 1/4)
0.724 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3) 1/4)
0.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 1) into 0
0.725 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.725 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.726 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4))) into 0
0.726 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
0.726 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 2) into 0
0.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
0.729 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.729 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)))) into 0
0.730 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0
0.730 * [backup-simplify]: Simplify 0 into 0
0.732 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 6) into 0
0.733 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))) into 0
0.734 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.734 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4))))) into 0
0.735 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))) into 0
0.735 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 24) into 0
0.739 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))))) into 0
0.740 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.741 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)))))) into 0
0.742 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))))) into 0
0.742 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 120) into 0
0.748 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))))) into 0
0.750 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.751 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4))))))) into 0
0.752 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))))) into 0
0.752 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 720) into 0
0.761 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))))))) into 0
0.764 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.765 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)))))))) into 0
0.767 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))))))) into 0
0.767 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4)
0.767 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) 3) into (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 3)
0.767 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 3) in (N) around 0
0.767 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 3) in N
0.767 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) in N
0.767 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N
0.767 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
0.767 * [taylor]: Taking taylor expansion of 1/4 in N
0.767 * [backup-simplify]: Simplify 1/4 into 1/4
0.767 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.767 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.767 * [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))
0.768 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.768 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) into (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))
0.768 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4)
0.768 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 3) in N
0.768 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) in N
0.768 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N
0.768 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N
0.768 * [taylor]: Taking taylor expansion of 1/4 in N
0.768 * [backup-simplify]: Simplify 1/4 into 1/4
0.768 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
0.768 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.768 * [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))
0.768 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.768 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) into (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))
0.768 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4)
0.769 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4)) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
0.769 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) into (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3) 1/4)
0.769 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3) 1/4)
0.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1)))) 1) into 0
0.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.776 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.776 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4))) into 0
0.777 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
0.777 * [backup-simplify]: Simplify 0 into 0
0.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1)))) 2) into 0
0.779 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
0.779 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.780 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4)))) into 0
0.780 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0
0.780 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1)))) 6) into 0
0.783 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))))) into 0
0.784 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.785 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4))))) into 0
0.786 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))))) into 0
0.786 * [backup-simplify]: Simplify 0 into 0
0.789 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1)))) 24) into 0
0.790 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))))) into 0
0.791 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.792 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4)))))) into 0
0.793 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))))) into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.798 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1)))) 120) into 0
0.799 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))))))) into 0
0.801 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
0.802 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4))))))) into 0
0.803 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))))))) into 0
0.803 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1)))) 720) into 0
0.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))))))) into 0
0.815 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.816 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4)))))))) into 0
0.818 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))))))) into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4)
0.818 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
0.818 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.818 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
0.818 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.818 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.818 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
0.818 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.818 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
0.819 * [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))
0.819 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
0.819 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.819 * [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))
0.819 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
0.819 * [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))
0.819 * [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))
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 0 into 0
0.820 * [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))
0.820 * [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))
0.820 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
0.820 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.820 * [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))
0.820 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
0.820 * [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))
0.820 * [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))
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [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))
0.820 * * * [progress]: simplifying candidates
0.822 * [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 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3))
  (log1p (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3))
  (* (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (* (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1/2 2) 3)
  (* (/ 1 2) 3)
  (* (/ (/ 1 2) 2) 3)
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 3))
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 1)
  (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3)
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3)
  (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3)
  (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3))
  (exp (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3))
  (* (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))
  (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3))
  (* (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3))
  (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3)
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3)
  (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3)
  (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (/ 3 2)
  (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3))
  (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3))
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (/ 3 2))
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (/ 3 2))
  (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)))
  (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4)
  (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4)
  (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4)
  (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))
0.822 * [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 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3))
 (log1p (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3))
 (* (log (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (* (log (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (* 1/2 3)
 (* 1 3)
 (* (/ 1/2 2) 3)
 (* (/ 1 2) 3)
 (* (/ (/ 1 2) 2) 3)
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (* (cbrt 3) (cbrt 3)))
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt 3))
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 1)
 (pow (* (cbrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) (cbrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))) 3)
 (pow (cbrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))) 3)
 (pow (sqrt (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))) 3)
 (pow (sqrt (sqrt (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt 1)) 3)
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt 1) 3)
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow 1 3)
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3)
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (log (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3))
 (exp (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3))
 (* (cbrt (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3)) (cbrt (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3)))
 (cbrt (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3))
 (* (* (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3) (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3)) (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3))
 (pow (* (cbrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) (cbrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))) 3)
 (pow (cbrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (* (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))) 3)
 (pow (sqrt (cbrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))) 3)
 (pow (sqrt (sqrt (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt 1)) 3)
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt 1) 3)
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow (sqrt (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))))) 3)
 (pow 1 3)
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3)
 (* (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))))
 (/ 3 2)
 (sqrt (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3))
 (sqrt (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) 3))
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (/ 3 2))
 (pow (sqrt (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (/ 3 2))
 (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)))
 (pow (pow (atan2 h0 (fma h1 (+ h1 h0) 1)) 3) 1/4)
 (pow (pow (atan2 h0 (fma h1 (+ h1 h0) 1)) 3) 1/4)
 (pow (pow (atan2 h0 (fma h1 (+ h1 h0) 1)) 3) 1/4)
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
 (atan2 h0 (fma h1 (+ h1 h0) 1))
0.827 * * [simplify]: iteration  0 :  172  enodes  (cost  592 )
0.831 * * [simplify]: iteration  1 :  583  enodes  (cost  556 )
0.850 * * [simplify]: iteration  2 :  4283  enodes  (cost  533 )
1.050 * * [simplify]: iteration  3 :  5001  enodes  (cost  533 )
1.054 * * * [progress]: adding candidates to table
1.250 * [progress]: [Phase 3 of 3] Extracting.
1.250 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (sqrt (exp (log (atan2 1.0 (fma N (+ N 1.0) 1))))))))> #<alt (λ (N) (* (* (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))))> #<alt (λ (N) (* (cbrt (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3)) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2)) (sqrt (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) (* (* (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)))))>)
1.252 * * * [regime-changes]: Trying 1 branch expressions: (N)
1.252 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (sqrt (exp (log (atan2 1.0 (fma N (+ N 1.0) 1))))))))> #<alt (λ (N) (* (* (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3)) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))))> #<alt (λ (N) (* (cbrt (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3)) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (* (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2)) (sqrt (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) (* (* (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)))))>)
1.280 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
1.280 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ N 1.0) 1))
1.280 * [simplify]: Sending expressions to egg_math:
 (atan2 h0 (fma h1 (+ h1 h0) 1))
1.280 * * [simplify]: iteration  0 :  9  enodes  (cost  3 )
1.281 * * [simplify]: iteration  1 :  9  enodes  (cost  3 )
2.438 * [regime-testing]: Baseline error score: 0.37014813147907283
2.439 * [regime-testing]: Oracle error score: 0.3306431933618081
2.440 * [regime-testing]: End program error score: 0.37014813147907283
2.462 * [regime-testing]: Target error score: 0.37239841276423347