25.033 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.042 * * * [progress]: [2/2] Setting up program.
0.044 * [progress]: [Phase 2 of 3] Improving.
0.044 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.044 * [simplify]: Simplifying:
  (- (atan (+ N 1)) (atan N))
0.045 * * [simplify]: iteration 0: 6 enodes
0.046 * * [simplify]: iteration 1: 11 enodes
0.047 * * [simplify]: iteration 2: 12 enodes
0.048 * * [simplify]: iteration complete: 12 enodes
0.048 * * [simplify]: Extracting #0: cost 1 inf + 0
0.048 * * [simplify]: Extracting #1: cost 4 inf + 0
0.048 * * [simplify]: Extracting #2: cost 6 inf + 0
0.048 * * [simplify]: Extracting #3: cost 4 inf + 253
0.049 * * [simplify]: Extracting #4: cost 0 inf + 735
0.049 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
0.049 * * [progress]: iteration 1 / 4
0.049 * * * [progress]: picking best candidate
0.051 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.051 * * * [progress]: localizing error
0.064 * * * [progress]: generating rewritten candidates
0.064 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.069 * * * [progress]: generating series expansions
0.069 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.069 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.069 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.069 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.069 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.070 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.070 * [taylor]: Taking taylor expansion of (atan N) in N
0.070 * [backup-simplify]: Simplify (atan N) into (atan N)
0.070 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.070 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.070 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.070 * [taylor]: Taking taylor expansion of (atan N) in N
0.070 * [backup-simplify]: Simplify (atan N) into (atan N)
0.070 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.070 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.070 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.071 * [backup-simplify]: Simplify (- 0) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (- 0) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (- 0) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.074 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.074 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.074 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.074 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.074 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.074 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.074 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.074 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.075 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.075 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.075 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.075 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.075 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.075 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.075 * [backup-simplify]: Simplify (- 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (- 0) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (- 0) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (- 0) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.078 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.078 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.078 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.078 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.078 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.078 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.078 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.078 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.078 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.078 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.078 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.078 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.079 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.079 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.079 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.079 * [backup-simplify]: Simplify (- 0) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (- 0) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (- 0) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (- 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (- 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (- 0) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.082 * * * [progress]: simplifying candidates
0.082 * * * * [progress]: [ 1 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (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)))))))>
0.082 * * * * [progress]: [ 2 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.082 * * * * [progress]: [ 3 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.082 * * * * [progress]: [ 4 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (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)))))))>
0.082 * * * * [progress]: [ 5 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.082 * * * * [progress]: [ 6 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.082 * * * * [progress]: [ 7 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (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)))))))>
0.082 * * * * [progress]: [ 8 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.082 * * * * [progress]: [ 9 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.082 * * * * [progress]: [ 10 / 33 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (atan (+ N 1)) (atan N)))))>
0.082 * * * * [progress]: [ 11 / 33 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (atan (+ N 1)) (atan N)))))>
0.082 * * * * [progress]: [ 12 / 33 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (atan N))))>
0.082 * * * * [progress]: [ 13 / 33 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (atan N))))>
0.082 * * * * [progress]: [ 14 / 33 ] simplifiying candidate #<alt (λ (N) (fma 1 (atan (+ N 1)) (- (atan N))))>
0.082 * * * * [progress]: [ 15 / 33 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.083 * * * * [progress]: [ 16 / 33 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.083 * * * * [progress]: [ 17 / 33 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.083 * * * * [progress]: [ 18 / 33 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.083 * * * * [progress]: [ 19 / 33 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.083 * * * * [progress]: [ 20 / 33 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
0.083 * * * * [progress]: [ 21 / 33 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.083 * * * * [progress]: [ 22 / 33 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.083 * * * * [progress]: [ 23 / 33 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))))>
0.083 * * * * [progress]: [ 24 / 33 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.083 * * * * [progress]: [ 25 / 33 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.083 * * * * [progress]: [ 26 / 33 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.083 * * * * [progress]: [ 27 / 33 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.083 * * * * [progress]: [ 28 / 33 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.083 * * * * [progress]: [ 29 / 33 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.083 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.083 * * * * [progress]: [ 31 / 33 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.083 * * * * [progress]: [ 32 / 33 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.083 * * * * [progress]: [ 33 / 33 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.084 * [simplify]: Simplifying:
  (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (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))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (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))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma 1 (atan (+ N 1)) (- (* (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)) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma 1 (atan (+ N 1)) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (expm1 (- (atan (+ N 1)) (atan N)))
  (log1p (- (atan (+ N 1)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  (- (+ N 1) N)
  (+ 1 (* (+ N 1) N))
  (/ (exp (atan (+ N 1))) (exp (atan N)))
  (log (- (atan (+ N 1)) (atan N)))
  (exp (- (atan (+ N 1)) (atan N)))
  (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N))))
  (cbrt (- (atan (+ N 1)) (atan N)))
  (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))
  (sqrt (- (atan (+ N 1)) (atan N)))
  (sqrt (- (atan (+ N 1)) (atan N)))
  (- (pow (atan (+ N 1)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N)))
  (+ (atan (+ N 1)) (atan N))
  (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
  (- (atan (+ N 1)) (atan N))
  (- (atan N))
  (real->posit16 (- (atan (+ N 1)) (atan N)))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
0.084 * * [simplify]: iteration 0: 62 enodes
0.096 * * [simplify]: iteration 1: 136 enodes
0.158 * * [simplify]: iteration 2: 288 enodes
0.309 * * [simplify]: iteration 3: 777 enodes
0.846 * * [simplify]: iteration 4: 2213 enodes
2.115 * * [simplify]: iteration complete: 5002 enodes
2.116 * * [simplify]: Extracting #0: cost 20 inf + 0
2.117 * * [simplify]: Extracting #1: cost 325 inf + 2
2.124 * * [simplify]: Extracting #2: cost 960 inf + 400
2.135 * * [simplify]: Extracting #3: cost 1101 inf + 15789
2.169 * * [simplify]: Extracting #4: cost 847 inf + 128062
2.274 * * [simplify]: Extracting #5: cost 193 inf + 462444
2.388 * * [simplify]: Extracting #6: cost 8 inf + 567560
2.503 * * [simplify]: Extracting #7: cost 0 inf + 572108
2.604 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (expm1 (- (atan (+ 1 N)) (atan N)))
  (log1p (- (atan (+ 1 N)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  1
  (fma N (+ 1 N) 1)
  (exp (- (atan (+ 1 N)) (atan N)))
  (log (- (atan (+ 1 N)) (atan N)))
  (exp (- (atan (+ 1 N)) (atan N)))
  (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
  (cbrt (- (atan (+ 1 N)) (atan N)))
  (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N))))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (- (* (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (* (* (atan N) (atan N)) (atan N)))
  (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N))))
  (- (atan N))
  (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N)))
  (+ (atan (+ 1 N)) (atan N))
  (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
  (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan N))
  (real->posit16 (- (atan (+ 1 N)) (atan N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
2.607 * * * [progress]: adding candidates to table
2.717 * * [progress]: iteration 2 / 4
2.717 * * * [progress]: picking best candidate
2.719 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (fma N (+ 1 N) 1)))>
2.719 * * * [progress]: localizing error
2.730 * * * [progress]: generating rewritten candidates
2.730 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.731 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
2.731 * * * [progress]: generating series expansions
2.731 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.732 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.732 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0
2.732 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
2.732 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.732 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
2.732 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.732 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.733 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.733 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
2.733 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.733 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.733 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.733 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.733 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.734 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.734 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0
2.734 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.734 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.734 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.734 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.734 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.734 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.735 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
2.735 * [backup-simplify]: Simplify (fma N (+ 1 N) 1) into (fma N (+ N 1) 1)
2.735 * [approximate]: Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0
2.735 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.735 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.735 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.735 * [taylor]: Taking taylor expansion of N in N
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 1 into 1
2.735 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.735 * [taylor]: Taking taylor expansion of N in N
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 1 into 1
2.735 * [taylor]: Taking taylor expansion of 1 in N
2.736 * [backup-simplify]: Simplify 1 into 1
2.736 * [taylor]: Taking taylor expansion of 1 in N
2.736 * [backup-simplify]: Simplify 1 into 1
2.736 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.736 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.736 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.736 * [taylor]: Taking taylor expansion of N in N
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 1 into 1
2.736 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.736 * [taylor]: Taking taylor expansion of N in N
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 1 into 1
2.736 * [taylor]: Taking taylor expansion of 1 in N
2.736 * [backup-simplify]: Simplify 1 into 1
2.736 * [taylor]: Taking taylor expansion of 1 in N
2.736 * [backup-simplify]: Simplify 1 into 1
2.737 * [backup-simplify]: Simplify (+ 0 1) into 1
2.737 * [backup-simplify]: Simplify (* 0 1) into 0
2.738 * [backup-simplify]: Simplify (+ 0 1) into 1
2.738 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (+ 1 0) into 1
2.739 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.740 * [backup-simplify]: Simplify (+ 1 0) into 1
2.740 * [backup-simplify]: Simplify 1 into 1
2.740 * [backup-simplify]: Simplify (+ 0 0) into 0
2.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
2.742 * [backup-simplify]: Simplify (+ 1 0) into 1
2.742 * [backup-simplify]: Simplify 1 into 1
2.742 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
2.742 * [backup-simplify]: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ (/ 1 N) 1) 1)
2.742 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0
2.742 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.742 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.742 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.742 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.742 * [taylor]: Taking taylor expansion of N in N
2.742 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify 1 into 1
2.743 * [backup-simplify]: Simplify (/ 1 1) into 1
2.743 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.743 * [taylor]: Taking taylor expansion of N in N
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [backup-simplify]: Simplify (/ 1 1) into 1
2.743 * [taylor]: Taking taylor expansion of 1 in N
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [taylor]: Taking taylor expansion of 1 in N
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.743 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.743 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.744 * [taylor]: Taking taylor expansion of N in N
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (/ 1 1) into 1
2.744 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.744 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.744 * [taylor]: Taking taylor expansion of N in N
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (/ 1 1) into 1
2.744 * [taylor]: Taking taylor expansion of 1 in N
2.744 * [backup-simplify]: Simplify 1 into 1
2.745 * [taylor]: Taking taylor expansion of 1 in N
2.745 * [backup-simplify]: Simplify 1 into 1
2.745 * [backup-simplify]: Simplify (+ 1 0) into 1
2.745 * [backup-simplify]: Simplify (* 1 1) into 1
2.746 * [backup-simplify]: Simplify (+ 1 0) into 1
2.746 * [backup-simplify]: Simplify 1 into 1
2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.747 * [backup-simplify]: Simplify (+ 0 1) into 1
2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.749 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
2.749 * [backup-simplify]: Simplify (+ 1 0) into 1
2.749 * [backup-simplify]: Simplify 1 into 1
2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.750 * [backup-simplify]: Simplify (+ 0 0) into 0
2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
2.753 * [backup-simplify]: Simplify (+ 0 1) into 1
2.753 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
2.753 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1)
2.753 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in (N) around 0
2.753 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.753 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.753 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.753 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.753 * [taylor]: Taking taylor expansion of -1 in N
2.753 * [backup-simplify]: Simplify -1 into -1
2.753 * [taylor]: Taking taylor expansion of N in N
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.754 * [backup-simplify]: Simplify (/ -1 1) into -1
2.754 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.754 * [taylor]: Taking taylor expansion of 1 in N
2.754 * [backup-simplify]: Simplify 1 into 1
2.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.754 * [taylor]: Taking taylor expansion of N in N
2.754 * [backup-simplify]: Simplify 0 into 0
2.754 * [backup-simplify]: Simplify 1 into 1
2.754 * [backup-simplify]: Simplify (/ 1 1) into 1
2.754 * [taylor]: Taking taylor expansion of 1 in N
2.754 * [backup-simplify]: Simplify 1 into 1
2.755 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.755 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.755 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.755 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.755 * [taylor]: Taking taylor expansion of -1 in N
2.755 * [backup-simplify]: Simplify -1 into -1
2.755 * [taylor]: Taking taylor expansion of N in N
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 1 into 1
2.755 * [backup-simplify]: Simplify (/ -1 1) into -1
2.755 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.755 * [taylor]: Taking taylor expansion of 1 in N
2.755 * [backup-simplify]: Simplify 1 into 1
2.755 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.755 * [taylor]: Taking taylor expansion of N in N
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 1 into 1
2.755 * [backup-simplify]: Simplify (/ 1 1) into 1
2.756 * [taylor]: Taking taylor expansion of 1 in N
2.756 * [backup-simplify]: Simplify 1 into 1
2.756 * [backup-simplify]: Simplify (- 1) into -1
2.756 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.756 * [backup-simplify]: Simplify (* -1 -1) into 1
2.757 * [backup-simplify]: Simplify (+ 1 0) into 1
2.757 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.757 * [backup-simplify]: Simplify (- 0) into 0
2.758 * [backup-simplify]: Simplify (+ 1 0) into 1
2.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.759 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.759 * [backup-simplify]: Simplify (+ -1 0) into -1
2.759 * [backup-simplify]: Simplify -1 into -1
2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.760 * [backup-simplify]: Simplify (- 0) into 0
2.760 * [backup-simplify]: Simplify (+ 0 0) into 0
2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.761 * [backup-simplify]: Simplify (+ 0 1) into 1
2.761 * [backup-simplify]: Simplify 1 into 1
2.761 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
2.762 * * * [progress]: simplifying candidates
2.762 * * * * [progress]: [ 1 / 27 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 2 / 27 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 3 / 27 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (fma N (+ 1 N) 1)) 1))>
2.762 * * * * [progress]: [ 4 / 27 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 5 / 27 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 6 / 27 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 7 / 27 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 8 / 27 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 9 / 27 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (fma N (+ 1 N) 1))))>
2.762 * * * * [progress]: [ 10 / 27 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 11 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 12 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 13 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* N (+ 1 N)) 1)))>
2.762 * * * * [progress]: [ 14 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (fma N (+ 1 N) 1) 1)))>
2.762 * * * * [progress]: [ 15 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 16 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 17 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 18 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 19 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 20 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (fma N (+ 1 N) 1))))>
2.762 * * * * [progress]: [ 21 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (fma N (+ 1 N) 1)))))>
2.762 * * * * [progress]: [ 22 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.762 * * * * [progress]: [ 23 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.762 * * * * [progress]: [ 24 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.762 * * * * [progress]: [ 25 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.762 * * * * [progress]: [ 26 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.762 * * * * [progress]: [ 27 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.763 * [simplify]: Simplifying:
  (expm1 (atan2 1 (fma N (+ 1 N) 1)))
  (log1p (atan2 1 (fma N (+ 1 N) 1)))
  (log (atan2 1 (fma N (+ 1 N) 1)))
  (exp (atan2 1 (fma N (+ 1 N) 1)))
  (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))
  (cbrt (atan2 1 (fma N (+ 1 N) 1)))
  (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1)))
  (sqrt (atan2 1 (fma N (+ 1 N) 1)))
  (sqrt (atan2 1 (fma N (+ 1 N) 1)))
  (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))
  (expm1 (fma N (+ 1 N) 1))
  (log1p (fma N (+ 1 N) 1))
  (* N (+ 1 N))
  (log (fma N (+ 1 N) 1))
  (exp (fma N (+ 1 N) 1))
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))
  (cbrt (fma N (+ 1 N) 1))
  (* (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) (fma N (+ 1 N) 1))
  (sqrt (fma N (+ 1 N) 1))
  (sqrt (fma N (+ 1 N) 1))
  (real->posit16 (fma N (+ 1 N) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
2.763 * * [simplify]: iteration 0: 33 enodes
2.769 * * [simplify]: iteration 1: 53 enodes
2.779 * * [simplify]: iteration 2: 89 enodes
2.803 * * [simplify]: iteration 3: 278 enodes
3.093 * * [simplify]: iteration 4: 1226 enodes
4.123 * * [simplify]: iteration complete: 5001 enodes
4.123 * * [simplify]: Extracting #0: cost 21 inf + 0
4.124 * * [simplify]: Extracting #1: cost 164 inf + 0
4.127 * * [simplify]: Extracting #2: cost 820 inf + 5769
4.154 * * [simplify]: Extracting #3: cost 862 inf + 96712
4.225 * * [simplify]: Extracting #4: cost 292 inf + 240211
4.303 * * [simplify]: Extracting #5: cost 2 inf + 293498
4.378 * * [simplify]: Extracting #6: cost 0 inf + 294146
4.461 * [simplify]: Simplified to:
  (expm1 (atan2 1 (fma (+ 1 N) N 1)))
  (log1p (atan2 1 (fma (+ 1 N) N 1)))
  (log (atan2 1 (fma (+ 1 N) N 1)))
  (exp (atan2 1 (fma (+ 1 N) N 1)))
  (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1))))
  (cbrt (atan2 1 (fma (+ 1 N) N 1)))
  (* (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1)))
  (sqrt (atan2 1 (fma (+ 1 N) N 1)))
  (sqrt (atan2 1 (fma (+ 1 N) N 1)))
  (real->posit16 (atan2 1 (fma (+ 1 N) N 1)))
  (expm1 (fma (+ 1 N) N 1))
  (log1p (fma (+ 1 N) N 1))
  (fma N N N)
  (log1p (fma N N N))
  (* (exp (fma N N N)) E)
  (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1)))
  (cbrt (fma (+ 1 N) N 1))
  (* (fma (+ 1 N) N 1) (* (fma (+ 1 N) N 1) (fma (+ 1 N) N 1)))
  (sqrt (fma (+ 1 N) N 1))
  (sqrt (fma (+ 1 N) N 1))
  (real->posit16 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
  (fma (+ 1 N) N 1)
  (fma (+ 1 N) N 1)
  (fma (+ 1 N) N 1)
4.462 * * * [progress]: adding candidates to table
4.591 * * [progress]: iteration 3 / 4
4.591 * * * [progress]: picking best candidate
4.605 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.605 * * * [progress]: localizing error
4.614 * * * [progress]: generating rewritten candidates
4.614 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.615 * * * [progress]: generating series expansions
4.615 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.615 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.615 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0
4.615 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.615 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.615 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.615 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.616 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.616 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.616 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0
4.616 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.616 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.616 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.617 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.617 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1))
4.617 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.617 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0
4.617 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.618 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.618 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.618 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.618 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.618 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1))
4.619 * * * [progress]: simplifying candidates
4.619 * * * * [progress]: [ 1 / 13 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (+ (fma N N N) 1)))))>
4.619 * * * * [progress]: [ 2 / 13 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (+ (fma N N N) 1)))))>
4.619 * * * * [progress]: [ 3 / 13 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ (fma N N N) 1)) 1))>
4.619 * * * * [progress]: [ 4 / 13 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ (fma N N N) 1)))))>
4.619 * * * * [progress]: [ 5 / 13 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ (fma N N N) 1)))))>
4.619 * * * * [progress]: [ 6 / 13 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (atan2 1 (+ (fma N N N) 1)))))>
4.619 * * * * [progress]: [ 7 / 13 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)))))>
4.619 * * * * [progress]: [ 8 / 13 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))>
4.619 * * * * [progress]: [ 9 / 13 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ (fma N N N) 1))))>
4.619 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ (fma N N N) 1)))))>
4.619 * * * * [progress]: [ 11 / 13 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.619 * * * * [progress]: [ 12 / 13 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.619 * * * * [progress]: [ 13 / 13 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.620 * [simplify]: Simplifying:
  (expm1 (atan2 1 (+ (fma N N N) 1)))
  (log1p (atan2 1 (+ (fma N N N) 1)))
  (log (atan2 1 (+ (fma N N N) 1)))
  (exp (atan2 1 (+ (fma N N N) 1)))
  (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1))))
  (cbrt (atan2 1 (+ (fma N N N) 1)))
  (* (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)))
  (sqrt (atan2 1 (+ (fma N N N) 1)))
  (sqrt (atan2 1 (+ (fma N N N) 1)))
  (real->posit16 (atan2 1 (+ (fma N N N) 1)))
  (atan2 1 (+ (fma N N N) 1))
  (atan2 1 (+ (fma N N N) 1))
  (atan2 1 (+ (fma N N N) 1))
4.620 * * [simplify]: iteration 0: 15 enodes
4.625 * * [simplify]: iteration 1: 21 enodes
4.632 * * [simplify]: iteration 2: 29 enodes
4.641 * * [simplify]: iteration 3: 41 enodes
4.655 * * [simplify]: iteration 4: 57 enodes
4.674 * * [simplify]: iteration 5: 84 enodes
4.699 * * [simplify]: iteration 6: 164 enodes
4.754 * * [simplify]: iteration 7: 275 enodes
4.811 * * [simplify]: iteration 8: 521 enodes
5.209 * * [simplify]: iteration 9: 1275 enodes
6.736 * * [simplify]: iteration complete: 5001 enodes
6.736 * * [simplify]: Extracting #0: cost 10 inf + 0
6.737 * * [simplify]: Extracting #1: cost 201 inf + 0
6.741 * * [simplify]: Extracting #2: cost 1202 inf + 3
6.746 * * [simplify]: Extracting #3: cost 1239 inf + 626
6.752 * * [simplify]: Extracting #4: cost 1222 inf + 3163
6.767 * * [simplify]: Extracting #5: cost 1029 inf + 130593
6.841 * * [simplify]: Extracting #6: cost 356 inf + 850081
6.964 * * [simplify]: Extracting #7: cost 0 inf + 1276082
7.095 * * [simplify]: Extracting #8: cost 0 inf + 1272320
7.225 * * [simplify]: Extracting #9: cost 0 inf + 1272109
7.355 * [simplify]: Simplified to:
  (expm1 (atan2 1 (fma (+ 1 N) N 1)))
  (log1p (atan2 1 (fma (+ 1 N) N 1)))
  (log (atan2 1 (fma (+ 1 N) N 1)))
  (exp (atan2 1 (fma (+ 1 N) N 1)))
  (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1))))
  (cbrt (atan2 1 (fma (+ 1 N) N 1)))
  (* (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1)))
  (sqrt (atan2 1 (fma (+ 1 N) N 1)))
  (sqrt (atan2 1 (fma (+ 1 N) N 1)))
  (real->posit16 (atan2 1 (fma (+ 1 N) N 1)))
  (atan2 1 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
7.356 * * * [progress]: adding candidates to table
7.392 * * [progress]: iteration 4 / 4
7.392 * * * [progress]: picking best candidate
7.402 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.402 * * * [progress]: localizing error
7.421 * * * [progress]: generating rewritten candidates
7.421 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
7.422 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
7.422 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
7.423 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
7.424 * * * [progress]: generating series expansions
7.424 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
7.424 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.424 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.424 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.424 * [taylor]: Taking taylor expansion of 1/3 in N
7.424 * [backup-simplify]: Simplify 1/3 into 1/3
7.424 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.424 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.424 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.424 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.424 * [taylor]: Taking taylor expansion of N in N
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [backup-simplify]: Simplify 1 into 1
7.424 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.424 * [taylor]: Taking taylor expansion of N in N
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [backup-simplify]: Simplify 1 into 1
7.424 * [taylor]: Taking taylor expansion of 1 in N
7.424 * [backup-simplify]: Simplify 1 into 1
7.424 * [taylor]: Taking taylor expansion of 1 in N
7.424 * [backup-simplify]: Simplify 1 into 1
7.425 * [backup-simplify]: Simplify (+ 0 1) into 1
7.425 * [backup-simplify]: Simplify (* 0 1) into 0
7.425 * [backup-simplify]: Simplify (+ 0 1) into 1
7.426 * [backup-simplify]: Simplify (log 1) into 0
7.426 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.426 * [backup-simplify]: Simplify (+ 1 0) into 1
7.427 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.427 * [backup-simplify]: Simplify (+ 1 0) into 1
7.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.428 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.428 * [backup-simplify]: Simplify (exp 0) into 1
7.428 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.428 * [taylor]: Taking taylor expansion of 1/3 in N
7.428 * [backup-simplify]: Simplify 1/3 into 1/3
7.428 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.428 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.428 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.429 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.429 * [taylor]: Taking taylor expansion of N in N
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 1 into 1
7.429 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.429 * [taylor]: Taking taylor expansion of N in N
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 1 into 1
7.429 * [taylor]: Taking taylor expansion of 1 in N
7.429 * [backup-simplify]: Simplify 1 into 1
7.429 * [taylor]: Taking taylor expansion of 1 in N
7.429 * [backup-simplify]: Simplify 1 into 1
7.429 * [backup-simplify]: Simplify (+ 0 1) into 1
7.429 * [backup-simplify]: Simplify (* 0 1) into 0
7.430 * [backup-simplify]: Simplify (+ 0 1) into 1
7.430 * [backup-simplify]: Simplify (log 1) into 0
7.430 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.430 * [backup-simplify]: Simplify (+ 1 0) into 1
7.431 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.431 * [backup-simplify]: Simplify (+ 1 0) into 1
7.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.432 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.432 * [backup-simplify]: Simplify (exp 0) into 1
7.432 * [backup-simplify]: Simplify 1 into 1
7.434 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.434 * [backup-simplify]: Simplify 1/3 into 1/3
7.435 * [backup-simplify]: Simplify (+ 0 0) into 0
7.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.435 * [backup-simplify]: Simplify (+ 1 0) into 1
7.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.437 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.439 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.439 * [backup-simplify]: Simplify 2/9 into 2/9
7.439 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.439 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.439 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.439 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.439 * [taylor]: Taking taylor expansion of 1/3 in N
7.439 * [backup-simplify]: Simplify 1/3 into 1/3
7.439 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.439 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.439 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.439 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.439 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.439 * [taylor]: Taking taylor expansion of N in N
7.439 * [backup-simplify]: Simplify 0 into 0
7.439 * [backup-simplify]: Simplify 1 into 1
7.439 * [backup-simplify]: Simplify (/ 1 1) into 1
7.439 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.439 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.439 * [taylor]: Taking taylor expansion of N in N
7.439 * [backup-simplify]: Simplify 0 into 0
7.439 * [backup-simplify]: Simplify 1 into 1
7.440 * [backup-simplify]: Simplify (/ 1 1) into 1
7.440 * [taylor]: Taking taylor expansion of 1 in N
7.440 * [backup-simplify]: Simplify 1 into 1
7.440 * [taylor]: Taking taylor expansion of 1 in N
7.440 * [backup-simplify]: Simplify 1 into 1
7.440 * [backup-simplify]: Simplify (+ 1 0) into 1
7.440 * [backup-simplify]: Simplify (* 1 1) into 1
7.441 * [backup-simplify]: Simplify (+ 1 0) into 1
7.441 * [backup-simplify]: Simplify (log 1) into 0
7.441 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.441 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.441 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.441 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.441 * [taylor]: Taking taylor expansion of 1/3 in N
7.441 * [backup-simplify]: Simplify 1/3 into 1/3
7.441 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.441 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.441 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.441 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.441 * [taylor]: Taking taylor expansion of N in N
7.441 * [backup-simplify]: Simplify 0 into 0
7.441 * [backup-simplify]: Simplify 1 into 1
7.442 * [backup-simplify]: Simplify (/ 1 1) into 1
7.442 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.442 * [taylor]: Taking taylor expansion of N in N
7.442 * [backup-simplify]: Simplify 0 into 0
7.442 * [backup-simplify]: Simplify 1 into 1
7.442 * [backup-simplify]: Simplify (/ 1 1) into 1
7.442 * [taylor]: Taking taylor expansion of 1 in N
7.442 * [backup-simplify]: Simplify 1 into 1
7.442 * [taylor]: Taking taylor expansion of 1 in N
7.442 * [backup-simplify]: Simplify 1 into 1
7.442 * [backup-simplify]: Simplify (+ 1 0) into 1
7.443 * [backup-simplify]: Simplify (* 1 1) into 1
7.443 * [backup-simplify]: Simplify (+ 1 0) into 1
7.443 * [backup-simplify]: Simplify (log 1) into 0
7.443 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.443 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.444 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.444 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.445 * [backup-simplify]: Simplify (+ 0 1) into 1
7.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.446 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.446 * [backup-simplify]: Simplify (+ 1 0) into 1
7.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.447 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.447 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.448 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.448 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.449 * [backup-simplify]: Simplify (+ 0 0) into 0
7.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.450 * [backup-simplify]: Simplify (+ 0 1) into 1
7.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.452 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.452 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.457 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.458 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.458 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.458 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.458 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.458 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.458 * [taylor]: Taking taylor expansion of 1/3 in N
7.458 * [backup-simplify]: Simplify 1/3 into 1/3
7.458 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.458 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.458 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.458 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.458 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.458 * [taylor]: Taking taylor expansion of -1 in N
7.458 * [backup-simplify]: Simplify -1 into -1
7.458 * [taylor]: Taking taylor expansion of N in N
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify 1 into 1
7.459 * [backup-simplify]: Simplify (/ -1 1) into -1
7.459 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.459 * [taylor]: Taking taylor expansion of 1 in N
7.459 * [backup-simplify]: Simplify 1 into 1
7.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.459 * [taylor]: Taking taylor expansion of N in N
7.459 * [backup-simplify]: Simplify 0 into 0
7.459 * [backup-simplify]: Simplify 1 into 1
7.459 * [backup-simplify]: Simplify (/ 1 1) into 1
7.459 * [taylor]: Taking taylor expansion of 1 in N
7.459 * [backup-simplify]: Simplify 1 into 1
7.460 * [backup-simplify]: Simplify (- 1) into -1
7.460 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.460 * [backup-simplify]: Simplify (* -1 -1) into 1
7.460 * [backup-simplify]: Simplify (+ 1 0) into 1
7.461 * [backup-simplify]: Simplify (log 1) into 0
7.461 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.461 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.461 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.461 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.461 * [taylor]: Taking taylor expansion of 1/3 in N
7.461 * [backup-simplify]: Simplify 1/3 into 1/3
7.461 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.461 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.461 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.461 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.461 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.461 * [taylor]: Taking taylor expansion of -1 in N
7.461 * [backup-simplify]: Simplify -1 into -1
7.461 * [taylor]: Taking taylor expansion of N in N
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify 1 into 1
7.462 * [backup-simplify]: Simplify (/ -1 1) into -1
7.462 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.462 * [taylor]: Taking taylor expansion of 1 in N
7.462 * [backup-simplify]: Simplify 1 into 1
7.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.462 * [taylor]: Taking taylor expansion of N in N
7.462 * [backup-simplify]: Simplify 0 into 0
7.462 * [backup-simplify]: Simplify 1 into 1
7.462 * [backup-simplify]: Simplify (/ 1 1) into 1
7.462 * [taylor]: Taking taylor expansion of 1 in N
7.462 * [backup-simplify]: Simplify 1 into 1
7.462 * [backup-simplify]: Simplify (- 1) into -1
7.462 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.463 * [backup-simplify]: Simplify (* -1 -1) into 1
7.463 * [backup-simplify]: Simplify (+ 1 0) into 1
7.463 * [backup-simplify]: Simplify (log 1) into 0
7.463 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.464 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.464 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.464 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.465 * [backup-simplify]: Simplify (- 0) into 0
7.465 * [backup-simplify]: Simplify (+ 1 0) into 1
7.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.466 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.466 * [backup-simplify]: Simplify (+ -1 0) into -1
7.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.467 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.468 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.468 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.468 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.469 * [backup-simplify]: Simplify (- 0) into 0
7.469 * [backup-simplify]: Simplify (+ 0 0) into 0
7.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.471 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.471 * [backup-simplify]: Simplify (+ 0 1) into 1
7.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.473 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.473 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.474 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.474 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.474 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.475 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
7.475 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.475 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.475 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.475 * [taylor]: Taking taylor expansion of 1/3 in N
7.475 * [backup-simplify]: Simplify 1/3 into 1/3
7.475 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.475 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.475 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.475 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.475 * [taylor]: Taking taylor expansion of N in N
7.475 * [backup-simplify]: Simplify 0 into 0
7.475 * [backup-simplify]: Simplify 1 into 1
7.475 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.475 * [taylor]: Taking taylor expansion of N in N
7.475 * [backup-simplify]: Simplify 0 into 0
7.475 * [backup-simplify]: Simplify 1 into 1
7.475 * [taylor]: Taking taylor expansion of 1 in N
7.475 * [backup-simplify]: Simplify 1 into 1
7.475 * [taylor]: Taking taylor expansion of 1 in N
7.475 * [backup-simplify]: Simplify 1 into 1
7.475 * [backup-simplify]: Simplify (+ 0 1) into 1
7.476 * [backup-simplify]: Simplify (* 0 1) into 0
7.476 * [backup-simplify]: Simplify (+ 0 1) into 1
7.476 * [backup-simplify]: Simplify (log 1) into 0
7.476 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.477 * [backup-simplify]: Simplify (+ 1 0) into 1
7.477 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.477 * [backup-simplify]: Simplify (+ 1 0) into 1
7.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.478 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.478 * [backup-simplify]: Simplify (exp 0) into 1
7.478 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.478 * [taylor]: Taking taylor expansion of 1/3 in N
7.478 * [backup-simplify]: Simplify 1/3 into 1/3
7.479 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.479 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.479 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.479 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.479 * [taylor]: Taking taylor expansion of N in N
7.479 * [backup-simplify]: Simplify 0 into 0
7.479 * [backup-simplify]: Simplify 1 into 1
7.479 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.479 * [taylor]: Taking taylor expansion of N in N
7.479 * [backup-simplify]: Simplify 0 into 0
7.479 * [backup-simplify]: Simplify 1 into 1
7.479 * [taylor]: Taking taylor expansion of 1 in N
7.479 * [backup-simplify]: Simplify 1 into 1
7.479 * [taylor]: Taking taylor expansion of 1 in N
7.479 * [backup-simplify]: Simplify 1 into 1
7.479 * [backup-simplify]: Simplify (+ 0 1) into 1
7.479 * [backup-simplify]: Simplify (* 0 1) into 0
7.480 * [backup-simplify]: Simplify (+ 0 1) into 1
7.480 * [backup-simplify]: Simplify (log 1) into 0
7.480 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.480 * [backup-simplify]: Simplify (+ 1 0) into 1
7.481 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.481 * [backup-simplify]: Simplify (+ 1 0) into 1
7.482 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.482 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.482 * [backup-simplify]: Simplify (exp 0) into 1
7.482 * [backup-simplify]: Simplify 1 into 1
7.483 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.483 * [backup-simplify]: Simplify 1/3 into 1/3
7.483 * [backup-simplify]: Simplify (+ 0 0) into 0
7.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.484 * [backup-simplify]: Simplify (+ 1 0) into 1
7.485 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.486 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.487 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.487 * [backup-simplify]: Simplify 2/9 into 2/9
7.487 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.487 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.487 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.488 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.488 * [taylor]: Taking taylor expansion of 1/3 in N
7.488 * [backup-simplify]: Simplify 1/3 into 1/3
7.488 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.488 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.488 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.488 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.488 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.488 * [taylor]: Taking taylor expansion of N in N
7.488 * [backup-simplify]: Simplify 0 into 0
7.488 * [backup-simplify]: Simplify 1 into 1
7.488 * [backup-simplify]: Simplify (/ 1 1) into 1
7.488 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.488 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.488 * [taylor]: Taking taylor expansion of N in N
7.488 * [backup-simplify]: Simplify 0 into 0
7.488 * [backup-simplify]: Simplify 1 into 1
7.488 * [backup-simplify]: Simplify (/ 1 1) into 1
7.488 * [taylor]: Taking taylor expansion of 1 in N
7.488 * [backup-simplify]: Simplify 1 into 1
7.488 * [taylor]: Taking taylor expansion of 1 in N
7.489 * [backup-simplify]: Simplify 1 into 1
7.489 * [backup-simplify]: Simplify (+ 1 0) into 1
7.489 * [backup-simplify]: Simplify (* 1 1) into 1
7.489 * [backup-simplify]: Simplify (+ 1 0) into 1
7.490 * [backup-simplify]: Simplify (log 1) into 0
7.490 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.490 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.490 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.490 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.490 * [taylor]: Taking taylor expansion of 1/3 in N
7.490 * [backup-simplify]: Simplify 1/3 into 1/3
7.490 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.490 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.490 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.490 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.490 * [taylor]: Taking taylor expansion of N in N
7.490 * [backup-simplify]: Simplify 0 into 0
7.490 * [backup-simplify]: Simplify 1 into 1
7.491 * [backup-simplify]: Simplify (/ 1 1) into 1
7.491 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.491 * [taylor]: Taking taylor expansion of N in N
7.491 * [backup-simplify]: Simplify 0 into 0
7.491 * [backup-simplify]: Simplify 1 into 1
7.491 * [backup-simplify]: Simplify (/ 1 1) into 1
7.491 * [taylor]: Taking taylor expansion of 1 in N
7.491 * [backup-simplify]: Simplify 1 into 1
7.491 * [taylor]: Taking taylor expansion of 1 in N
7.491 * [backup-simplify]: Simplify 1 into 1
7.491 * [backup-simplify]: Simplify (+ 1 0) into 1
7.492 * [backup-simplify]: Simplify (* 1 1) into 1
7.492 * [backup-simplify]: Simplify (+ 1 0) into 1
7.492 * [backup-simplify]: Simplify (log 1) into 0
7.493 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.493 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.493 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.493 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.494 * [backup-simplify]: Simplify (+ 0 1) into 1
7.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.495 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.495 * [backup-simplify]: Simplify (+ 1 0) into 1
7.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.496 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.496 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.497 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.497 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.498 * [backup-simplify]: Simplify (+ 0 0) into 0
7.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.499 * [backup-simplify]: Simplify (+ 0 1) into 1
7.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.501 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.501 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.502 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.502 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.503 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.503 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.503 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.503 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.503 * [taylor]: Taking taylor expansion of 1/3 in N
7.503 * [backup-simplify]: Simplify 1/3 into 1/3
7.503 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.503 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.503 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.503 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.503 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.503 * [taylor]: Taking taylor expansion of -1 in N
7.503 * [backup-simplify]: Simplify -1 into -1
7.503 * [taylor]: Taking taylor expansion of N in N
7.503 * [backup-simplify]: Simplify 0 into 0
7.503 * [backup-simplify]: Simplify 1 into 1
7.503 * [backup-simplify]: Simplify (/ -1 1) into -1
7.503 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.503 * [taylor]: Taking taylor expansion of 1 in N
7.503 * [backup-simplify]: Simplify 1 into 1
7.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.503 * [taylor]: Taking taylor expansion of N in N
7.503 * [backup-simplify]: Simplify 0 into 0
7.504 * [backup-simplify]: Simplify 1 into 1
7.504 * [backup-simplify]: Simplify (/ 1 1) into 1
7.504 * [taylor]: Taking taylor expansion of 1 in N
7.504 * [backup-simplify]: Simplify 1 into 1
7.504 * [backup-simplify]: Simplify (- 1) into -1
7.504 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.505 * [backup-simplify]: Simplify (* -1 -1) into 1
7.505 * [backup-simplify]: Simplify (+ 1 0) into 1
7.505 * [backup-simplify]: Simplify (log 1) into 0
7.505 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.505 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.505 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.505 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.506 * [taylor]: Taking taylor expansion of 1/3 in N
7.506 * [backup-simplify]: Simplify 1/3 into 1/3
7.506 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.506 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.506 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.506 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.506 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.506 * [taylor]: Taking taylor expansion of -1 in N
7.506 * [backup-simplify]: Simplify -1 into -1
7.506 * [taylor]: Taking taylor expansion of N in N
7.506 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify 1 into 1
7.506 * [backup-simplify]: Simplify (/ -1 1) into -1
7.506 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.506 * [taylor]: Taking taylor expansion of 1 in N
7.506 * [backup-simplify]: Simplify 1 into 1
7.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.506 * [taylor]: Taking taylor expansion of N in N
7.506 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify 1 into 1
7.506 * [backup-simplify]: Simplify (/ 1 1) into 1
7.506 * [taylor]: Taking taylor expansion of 1 in N
7.506 * [backup-simplify]: Simplify 1 into 1
7.507 * [backup-simplify]: Simplify (- 1) into -1
7.507 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.507 * [backup-simplify]: Simplify (* -1 -1) into 1
7.507 * [backup-simplify]: Simplify (+ 1 0) into 1
7.508 * [backup-simplify]: Simplify (log 1) into 0
7.508 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.508 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.508 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.508 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.509 * [backup-simplify]: Simplify (- 0) into 0
7.509 * [backup-simplify]: Simplify (+ 1 0) into 1
7.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.510 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.510 * [backup-simplify]: Simplify (+ -1 0) into -1
7.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.511 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.512 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.512 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.512 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.513 * [backup-simplify]: Simplify (- 0) into 0
7.513 * [backup-simplify]: Simplify (+ 0 0) into 0
7.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.514 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.515 * [backup-simplify]: Simplify (+ 0 1) into 1
7.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.517 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.517 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.518 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.518 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.518 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.519 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
7.519 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.519 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.519 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.519 * [taylor]: Taking taylor expansion of 1/3 in N
7.519 * [backup-simplify]: Simplify 1/3 into 1/3
7.519 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.519 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.519 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.519 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.519 * [taylor]: Taking taylor expansion of N in N
7.519 * [backup-simplify]: Simplify 0 into 0
7.519 * [backup-simplify]: Simplify 1 into 1
7.519 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.519 * [taylor]: Taking taylor expansion of N in N
7.519 * [backup-simplify]: Simplify 0 into 0
7.519 * [backup-simplify]: Simplify 1 into 1
7.519 * [taylor]: Taking taylor expansion of 1 in N
7.519 * [backup-simplify]: Simplify 1 into 1
7.519 * [taylor]: Taking taylor expansion of 1 in N
7.519 * [backup-simplify]: Simplify 1 into 1
7.519 * [backup-simplify]: Simplify (+ 0 1) into 1
7.520 * [backup-simplify]: Simplify (* 0 1) into 0
7.520 * [backup-simplify]: Simplify (+ 0 1) into 1
7.520 * [backup-simplify]: Simplify (log 1) into 0
7.520 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.521 * [backup-simplify]: Simplify (+ 1 0) into 1
7.521 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.521 * [backup-simplify]: Simplify (+ 1 0) into 1
7.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.522 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.522 * [backup-simplify]: Simplify (exp 0) into 1
7.522 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.523 * [taylor]: Taking taylor expansion of 1/3 in N
7.523 * [backup-simplify]: Simplify 1/3 into 1/3
7.523 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.523 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.523 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.523 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.523 * [taylor]: Taking taylor expansion of N in N
7.523 * [backup-simplify]: Simplify 0 into 0
7.523 * [backup-simplify]: Simplify 1 into 1
7.523 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.523 * [taylor]: Taking taylor expansion of N in N
7.523 * [backup-simplify]: Simplify 0 into 0
7.523 * [backup-simplify]: Simplify 1 into 1
7.523 * [taylor]: Taking taylor expansion of 1 in N
7.523 * [backup-simplify]: Simplify 1 into 1
7.523 * [taylor]: Taking taylor expansion of 1 in N
7.523 * [backup-simplify]: Simplify 1 into 1
7.523 * [backup-simplify]: Simplify (+ 0 1) into 1
7.523 * [backup-simplify]: Simplify (* 0 1) into 0
7.524 * [backup-simplify]: Simplify (+ 0 1) into 1
7.524 * [backup-simplify]: Simplify (log 1) into 0
7.524 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.524 * [backup-simplify]: Simplify (+ 1 0) into 1
7.525 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.525 * [backup-simplify]: Simplify (+ 1 0) into 1
7.526 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.526 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.526 * [backup-simplify]: Simplify (exp 0) into 1
7.526 * [backup-simplify]: Simplify 1 into 1
7.527 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.527 * [backup-simplify]: Simplify 1/3 into 1/3
7.527 * [backup-simplify]: Simplify (+ 0 0) into 0
7.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.528 * [backup-simplify]: Simplify (+ 1 0) into 1
7.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.530 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.531 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.531 * [backup-simplify]: Simplify 2/9 into 2/9
7.532 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.532 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.532 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.532 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.532 * [taylor]: Taking taylor expansion of 1/3 in N
7.532 * [backup-simplify]: Simplify 1/3 into 1/3
7.532 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.532 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.532 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.532 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.532 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.532 * [taylor]: Taking taylor expansion of N in N
7.532 * [backup-simplify]: Simplify 0 into 0
7.532 * [backup-simplify]: Simplify 1 into 1
7.532 * [backup-simplify]: Simplify (/ 1 1) into 1
7.532 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.532 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.532 * [taylor]: Taking taylor expansion of N in N
7.532 * [backup-simplify]: Simplify 0 into 0
7.532 * [backup-simplify]: Simplify 1 into 1
7.533 * [backup-simplify]: Simplify (/ 1 1) into 1
7.533 * [taylor]: Taking taylor expansion of 1 in N
7.533 * [backup-simplify]: Simplify 1 into 1
7.533 * [taylor]: Taking taylor expansion of 1 in N
7.533 * [backup-simplify]: Simplify 1 into 1
7.533 * [backup-simplify]: Simplify (+ 1 0) into 1
7.533 * [backup-simplify]: Simplify (* 1 1) into 1
7.533 * [backup-simplify]: Simplify (+ 1 0) into 1
7.534 * [backup-simplify]: Simplify (log 1) into 0
7.534 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.534 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.534 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.534 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.534 * [taylor]: Taking taylor expansion of 1/3 in N
7.534 * [backup-simplify]: Simplify 1/3 into 1/3
7.534 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.534 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.534 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.534 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.534 * [taylor]: Taking taylor expansion of N in N
7.534 * [backup-simplify]: Simplify 0 into 0
7.534 * [backup-simplify]: Simplify 1 into 1
7.535 * [backup-simplify]: Simplify (/ 1 1) into 1
7.535 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.535 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.535 * [taylor]: Taking taylor expansion of N in N
7.535 * [backup-simplify]: Simplify 0 into 0
7.535 * [backup-simplify]: Simplify 1 into 1
7.535 * [backup-simplify]: Simplify (/ 1 1) into 1
7.535 * [taylor]: Taking taylor expansion of 1 in N
7.535 * [backup-simplify]: Simplify 1 into 1
7.535 * [taylor]: Taking taylor expansion of 1 in N
7.535 * [backup-simplify]: Simplify 1 into 1
7.535 * [backup-simplify]: Simplify (+ 1 0) into 1
7.535 * [backup-simplify]: Simplify (* 1 1) into 1
7.536 * [backup-simplify]: Simplify (+ 1 0) into 1
7.536 * [backup-simplify]: Simplify (log 1) into 0
7.536 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.536 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.536 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.536 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.537 * [backup-simplify]: Simplify (+ 0 1) into 1
7.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.538 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.538 * [backup-simplify]: Simplify (+ 1 0) into 1
7.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.539 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.540 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.540 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.540 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.541 * [backup-simplify]: Simplify (+ 0 0) into 0
7.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.542 * [backup-simplify]: Simplify (+ 0 1) into 1
7.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.544 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.547 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.548 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.548 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.549 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.549 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.549 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.549 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.549 * [taylor]: Taking taylor expansion of 1/3 in N
7.549 * [backup-simplify]: Simplify 1/3 into 1/3
7.549 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.549 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.549 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.549 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.549 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.549 * [taylor]: Taking taylor expansion of -1 in N
7.549 * [backup-simplify]: Simplify -1 into -1
7.549 * [taylor]: Taking taylor expansion of N in N
7.549 * [backup-simplify]: Simplify 0 into 0
7.549 * [backup-simplify]: Simplify 1 into 1
7.549 * [backup-simplify]: Simplify (/ -1 1) into -1
7.549 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.550 * [taylor]: Taking taylor expansion of 1 in N
7.550 * [backup-simplify]: Simplify 1 into 1
7.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.550 * [taylor]: Taking taylor expansion of N in N
7.550 * [backup-simplify]: Simplify 0 into 0
7.550 * [backup-simplify]: Simplify 1 into 1
7.550 * [backup-simplify]: Simplify (/ 1 1) into 1
7.550 * [taylor]: Taking taylor expansion of 1 in N
7.550 * [backup-simplify]: Simplify 1 into 1
7.550 * [backup-simplify]: Simplify (- 1) into -1
7.550 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.551 * [backup-simplify]: Simplify (* -1 -1) into 1
7.551 * [backup-simplify]: Simplify (+ 1 0) into 1
7.552 * [backup-simplify]: Simplify (log 1) into 0
7.552 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.552 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.552 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.552 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.552 * [taylor]: Taking taylor expansion of 1/3 in N
7.552 * [backup-simplify]: Simplify 1/3 into 1/3
7.552 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.552 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.552 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.552 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.552 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.552 * [taylor]: Taking taylor expansion of -1 in N
7.552 * [backup-simplify]: Simplify -1 into -1
7.552 * [taylor]: Taking taylor expansion of N in N
7.552 * [backup-simplify]: Simplify 0 into 0
7.552 * [backup-simplify]: Simplify 1 into 1
7.553 * [backup-simplify]: Simplify (/ -1 1) into -1
7.553 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.553 * [taylor]: Taking taylor expansion of 1 in N
7.553 * [backup-simplify]: Simplify 1 into 1
7.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.553 * [taylor]: Taking taylor expansion of N in N
7.553 * [backup-simplify]: Simplify 0 into 0
7.553 * [backup-simplify]: Simplify 1 into 1
7.553 * [backup-simplify]: Simplify (/ 1 1) into 1
7.553 * [taylor]: Taking taylor expansion of 1 in N
7.553 * [backup-simplify]: Simplify 1 into 1
7.553 * [backup-simplify]: Simplify (- 1) into -1
7.554 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.554 * [backup-simplify]: Simplify (* -1 -1) into 1
7.554 * [backup-simplify]: Simplify (+ 1 0) into 1
7.554 * [backup-simplify]: Simplify (log 1) into 0
7.555 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.555 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.555 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.555 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.556 * [backup-simplify]: Simplify (- 0) into 0
7.556 * [backup-simplify]: Simplify (+ 1 0) into 1
7.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.557 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.557 * [backup-simplify]: Simplify (+ -1 0) into -1
7.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.558 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.559 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.559 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.559 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.560 * [backup-simplify]: Simplify (- 0) into 0
7.560 * [backup-simplify]: Simplify (+ 0 0) into 0
7.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.562 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.562 * [backup-simplify]: Simplify (+ 0 1) into 1
7.563 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.564 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.564 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.565 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.565 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.566 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.566 * * * * [progress]: [ 4 / 4 ] generating series at (2)
7.566 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ N 1) 1))
7.566 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0
7.566 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
7.566 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
7.566 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
7.566 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
7.566 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
7.567 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
7.567 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
7.567 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.567 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
7.567 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.567 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
7.567 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
7.567 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
7.567 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0
7.568 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.568 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
7.568 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.568 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
7.568 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
7.568 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
7.568 * * * [progress]: simplifying candidates
7.568 * * * * [progress]: [ 1 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (log1p (expm1 (cbrt (fma N (+ 1 N) 1)))))))>
7.568 * * * * [progress]: [ 2 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (expm1 (log1p (cbrt (fma N (+ 1 N) 1)))))))>
7.568 * * * * [progress]: [ 3 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (pow (fma N (+ 1 N) 1) 1/3))))>
7.568 * * * * [progress]: [ 4 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (pow (cbrt (fma N (+ 1 N) 1)) 1))))>
7.568 * * * * [progress]: [ 5 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (exp (log (cbrt (fma N (+ 1 N) 1)))))))>
7.568 * * * * [progress]: [ 6 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (log (exp (cbrt (fma N (+ 1 N) 1)))))))>
7.568 * * * * [progress]: [ 7 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))))>
7.568 * * * * [progress]: [ 8 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))))))>
7.568 * * * * [progress]: [ 9 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt 1) (cbrt (fma N (+ 1 N) 1))))))>
7.568 * * * * [progress]: [ 10 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))))>
7.569 * * * * [progress]: [ 11 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.569 * * * * [progress]: [ 12 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))))))>
7.569 * * * * [progress]: [ 13 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* 1 (cbrt (fma N (+ 1 N) 1))))))>
7.569 * * * * [progress]: [ 14 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (posit16->real (real->posit16 (cbrt (fma N (+ 1 N) 1)))))))>
7.569 * * * * [progress]: [ 15 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (log1p (expm1 (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (expm1 (log1p (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 17 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (pow (fma N (+ 1 N) 1) 1/3)) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 18 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (pow (cbrt (fma N (+ 1 N) 1)) 1)) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 19 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (exp (log (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 20 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (log (exp (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 21 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 23 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (cbrt 1) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 24 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 25 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 26 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 27 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* 1 (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 28 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (posit16->real (real->posit16 (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 29 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log1p (expm1 (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 30 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (expm1 (log1p (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 31 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (fma N (+ 1 N) 1) 1/3) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 32 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (cbrt (fma N (+ 1 N) 1)) 1) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 33 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (exp (log (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 34 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log (exp (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 35 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.569 * * * * [progress]: [ 36 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 37 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 38 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 39 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 40 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 41 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* 1 (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (posit16->real (real->posit16 (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 43 / 64 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.570 * * * * [progress]: [ 44 / 64 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.570 * * * * [progress]: [ 45 / 64 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) 1))>
7.570 * * * * [progress]: [ 46 / 64 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.570 * * * * [progress]: [ 47 / 64 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.570 * * * * [progress]: [ 48 / 64 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.570 * * * * [progress]: [ 49 / 64 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.570 * * * * [progress]: [ 50 / 64 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.570 * * * * [progress]: [ 51 / 64 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))))>
7.570 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.570 * * * * [progress]: [ 53 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))))>
7.570 * * * * [progress]: [ 54 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
7.570 * * * * [progress]: [ 55 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
7.570 * * * * [progress]: [ 56 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 57 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 59 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 60 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 61 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
7.570 * * * * [progress]: [ 62 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
7.570 * * * * [progress]: [ 63 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
7.570 * * * * [progress]: [ 64 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
7.571 * [simplify]: Simplifying:
  (expm1 (cbrt (fma N (+ 1 N) 1)))
  (log1p (cbrt (fma N (+ 1 N) 1)))
  (log (cbrt (fma N (+ 1 N) 1)))
  (exp (cbrt (fma N (+ 1 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1 N) 1))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (cbrt (fma N (+ 1 N) 1)))
  (expm1 (cbrt (fma N (+ 1 N) 1)))
  (log1p (cbrt (fma N (+ 1 N) 1)))
  (log (cbrt (fma N (+ 1 N) 1)))
  (exp (cbrt (fma N (+ 1 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1 N) 1))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (cbrt (fma N (+ 1 N) 1)))
  (expm1 (cbrt (fma N (+ 1 N) 1)))
  (log1p (cbrt (fma N (+ 1 N) 1)))
  (log (cbrt (fma N (+ 1 N) 1)))
  (exp (cbrt (fma N (+ 1 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1 N) 1))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (cbrt (fma N (+ 1 N) 1)))
  (expm1 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (log1p (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (log (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (exp (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (* (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))))
  (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (* (* (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (sqrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (sqrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (real->posit16 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
7.572 * * [simplify]: iteration 0: 58 enodes
7.583 * * [simplify]: iteration 1: 107 enodes
7.605 * * [simplify]: iteration 2: 203 enodes
7.660 * * [simplify]: iteration 3: 498 enodes
7.792 * * [simplify]: iteration 4: 1140 enodes
8.135 * * [simplify]: iteration 5: 2807 enodes
8.704 * * [simplify]: iteration complete: 5000 enodes
8.704 * * [simplify]: Extracting #0: cost 26 inf + 0
8.705 * * [simplify]: Extracting #1: cost 216 inf + 1
8.708 * * [simplify]: Extracting #2: cost 617 inf + 4930
8.715 * * [simplify]: Extracting #3: cost 741 inf + 17039
8.727 * * [simplify]: Extracting #4: cost 652 inf + 65981
8.757 * * [simplify]: Extracting #5: cost 263 inf + 195684
8.797 * * [simplify]: Extracting #6: cost 32 inf + 321927
8.842 * * [simplify]: Extracting #7: cost 0 inf + 343690
8.887 * * [simplify]: Extracting #8: cost 0 inf + 343559
8.933 * [simplify]: Simplified to:
  (expm1 (cbrt (fma N (+ N 1) 1)))
  (log1p (cbrt (fma N (+ N 1) 1)))
  (log (cbrt (fma N (+ N 1) 1)))
  (exp (cbrt (fma N (+ N 1) 1)))
  (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  1
  (cbrt (fma N (+ N 1) 1))
  (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (fma N (+ N 1) 1)
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (real->posit16 (cbrt (fma N (+ N 1) 1)))
  (expm1 (cbrt (fma N (+ N 1) 1)))
  (log1p (cbrt (fma N (+ N 1) 1)))
  (log (cbrt (fma N (+ N 1) 1)))
  (exp (cbrt (fma N (+ N 1) 1)))
  (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  1
  (cbrt (fma N (+ N 1) 1))
  (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (fma N (+ N 1) 1)
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (real->posit16 (cbrt (fma N (+ N 1) 1)))
  (expm1 (cbrt (fma N (+ N 1) 1)))
  (log1p (cbrt (fma N (+ N 1) 1)))
  (log (cbrt (fma N (+ N 1) 1)))
  (exp (cbrt (fma N (+ N 1) 1)))
  (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  1
  (cbrt (fma N (+ N 1) 1))
  (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (fma N (+ N 1) 1)
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (real->posit16 (cbrt (fma N (+ N 1) 1)))
  (expm1 (atan2 1 (fma N (+ N 1) 1)))
  (log1p (atan2 1 (fma N (+ N 1) 1)))
  (log (atan2 1 (fma N (+ N 1) 1)))
  (exp (atan2 1 (fma N (+ N 1) 1)))
  (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1))))
  (cbrt (atan2 1 (fma N (+ N 1) 1)))
  (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))
  (sqrt (atan2 1 (fma N (+ N 1) 1)))
  (sqrt (atan2 1 (fma N (+ N 1) 1)))
  (real->posit16 (atan2 1 (fma N (+ N 1) 1)))
  (fma N (fma 2/9 N 1/3) 1)
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
  (fma N (fma 2/9 N 1/3) 1)
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
  (fma N (fma 2/9 N 1/3) 1)
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
8.937 * * * [progress]: adding candidates to table
9.185 * [progress]: [Phase 3 of 3] Extracting.
9.185 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))> #<alt (λ (N) (cbrt (* (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)))))> #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))))> #<alt (λ (N) (* (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))> #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>)
9.186 * * * [regime-changes]: Trying 1 branch expressions: (N)
9.186 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))> #<alt (λ (N) (cbrt (* (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)))))> #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))))> #<alt (λ (N) (* (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))> #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>)
9.219 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
9.219 * [simplify]: Simplifying:
  (atan2 1 (+ (fma N N N) 1))
9.219 * * [simplify]: iteration 0: 5 enodes
9.219 * * [simplify]: iteration 1: 8 enodes
9.219 * * [simplify]: iteration complete: 8 enodes
9.219 * * [simplify]: Extracting #0: cost 1 inf + 0
9.219 * * [simplify]: Extracting #1: cost 3 inf + 0
9.219 * * [simplify]: Extracting #2: cost 3 inf + 1
9.219 * * [simplify]: Extracting #3: cost 4 inf + 1
9.220 * * [simplify]: Extracting #4: cost 0 inf + 392
9.220 * [simplify]: Simplified to:
  (atan2 1 (+ 1 (fma N N N)))
11.094 * [regime-testing]: Baseline error score: 0.41813445411608813
11.096 * [regime-testing]: Oracle error score: 0.38212995355351786
11.101 * [regime-testing]: End program error score: 0.41813445411608813
11.142 * [regime-testing]: Target error score: 0.42088479790906225