25.986 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.036 * * [simplify]: iteration 0: 6 enodes 0.037 * * [simplify]: iteration 1: 9 enodes 0.038 * * [simplify]: iteration 2: 10 enodes 0.039 * * [simplify]: iteration complete: 10 enodes 0.039 * * [simplify]: Extracting #0: cost 1 inf + 0 0.039 * * [simplify]: Extracting #1: cost 4 inf + 0 0.039 * * [simplify]: Extracting #2: cost 6 inf + 0 0.039 * * [simplify]: Extracting #3: cost 6 inf + 1 0.039 * * [simplify]: Extracting #4: cost 0 inf + 21 0.039 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.063 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.063 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.063 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.063 * [taylor]: Taking taylor expansion of (atan N) in N 0.063 * [backup-simplify]: Simplify (atan N) into (atan N) 0.063 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.063 * [taylor]: Taking taylor expansion of (atan N) in N 0.063 * [backup-simplify]: Simplify (atan N) into (atan N) 0.063 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.063 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.063 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.064 * [backup-simplify]: Simplify (- 0) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.067 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.067 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.067 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.067 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.067 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.067 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.067 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.067 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.067 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.068 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.068 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.068 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.068 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.068 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.068 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.072 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.072 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.072 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.072 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.072 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.072 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.072 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.072 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.072 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.072 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.072 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.072 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.072 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.072 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 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 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [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 (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 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 0.075 * [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 (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.076 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.076 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.076 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.076 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.076 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.076 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.076 * [backup-simplify]: Simplify 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 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.076 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.076 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.076 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.076 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.076 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.076 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.077 * [backup-simplify]: Simplify 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 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.077 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.077 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.077 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.077 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.077 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.077 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.077 * [backup-simplify]: Simplify 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 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.077 * * * [progress]: simplifying candidates 0.078 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (expm1 (atan (+ N 1.0))) (log1p (atan (+ N 1.0))) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.079 * * [simplify]: iteration 0: 66 enodes 0.101 * * [simplify]: iteration 1: 139 enodes 0.145 * * [simplify]: iteration 2: 506 enodes 1.212 * * [simplify]: iteration 3: 4357 enodes 6.538 * * [simplify]: iteration complete: 5000 enodes 6.538 * * [simplify]: Extracting #0: cost 29 inf + 0 6.539 * * [simplify]: Extracting #1: cost 364 inf + 1 6.545 * * [simplify]: Extracting #2: cost 1073 inf + 427 6.550 * * [simplify]: Extracting #3: cost 374 inf + 5865 6.555 * * [simplify]: Extracting #4: cost 26 inf + 9501 6.561 * * [simplify]: Extracting #5: cost 4 inf + 9753 6.571 * * [simplify]: Extracting #6: cost 0 inf + 9773 6.581 * [simplify]: Simplified to: (- (pow (cbrt (atan (+ 1.0 N))) 3) (atan N)) 0 (- (pow (cbrt (atan (+ 1.0 N))) 3) (atan N)) 0 (- (pow (cbrt (atan (+ 1.0 N))) 3) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (expm1 (- (atan (+ 1.0 N)) (atan N))) (log1p (- (atan (+ 1.0 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- 1.0 0) (fma N (+ 1.0 N) 1) (exp (- (atan (+ 1.0 N)) (atan N))) (log (- (atan (+ 1.0 N)) (atan N))) (exp (- (atan (+ 1.0 N)) (atan N))) (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N)))) (cbrt (- (atan (+ 1.0 N)) (atan N))) (pow (- (atan (+ 1.0 N)) (atan N)) 3) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (pow (atan (+ 1.0 N)) 3) (pow (atan N) 3)) (fma (atan N) (atan N) (* (atan (+ 1.0 N)) (+ (atan (+ 1.0 N)) (atan N)))) (- (atan N)) (fma (- (atan N)) (atan N) (* (atan (+ 1.0 N)) (atan (+ 1.0 N)))) (+ (atan N) (atan (+ 1.0 N))) (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (expm1 (atan (+ 1.0 N))) (log1p (atan (+ 1.0 N))) (log (atan (+ 1.0 N))) (exp (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N)))) (cbrt (atan (+ 1.0 N))) (pow (atan (+ 1.0 N)) 3) (sqrt (atan (+ 1.0 N))) (sqrt (atan (+ 1.0 N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (atan (+ 1.0 N)) (atan (+ 1.0 N)) (atan (+ 1.0 N)) 6.581 * * * [progress]: adding candidates to table 6.722 * * [progress]: iteration 2 / 4 6.722 * * * [progress]: picking best candidate 6.725 * * * * [pick]: Picked # 6.725 * * * [progress]: localizing error 6.734 * * * [progress]: generating rewritten candidates 6.734 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.735 * * * [progress]: generating series expansions 6.735 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.736 * [backup-simplify]: Simplify (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 6.736 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 6.736 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 6.736 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 6.736 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 6.736 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 6.736 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 6.737 * [backup-simplify]: Simplify (atan2 (- 1.0 0) (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 6.737 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 6.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 6.737 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 6.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 6.737 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 6.737 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 6.737 * [backup-simplify]: Simplify 0 into 0 6.737 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 6.738 * [backup-simplify]: Simplify (atan2 (- 1.0 0) (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 6.738 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 6.738 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 6.738 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 6.738 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 6.739 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 6.739 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 6.739 * * * [progress]: simplifying candidates 6.739 * [simplify]: Simplifying: (expm1 (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (log1p (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (log (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (exp (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (* (cbrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (cbrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))) (cbrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (* (* (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)) (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (sqrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (sqrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 6.740 * * [simplify]: iteration 0: 20 enodes 6.744 * * [simplify]: iteration 1: 30 enodes 6.747 * * [simplify]: iteration 2: 52 enodes 6.756 * * [simplify]: iteration 3: 101 enodes 6.768 * * [simplify]: iteration 4: 142 enodes 6.785 * * [simplify]: iteration 5: 215 enodes 6.819 * * [simplify]: iteration 6: 301 enodes 6.850 * * [simplify]: iteration 7: 474 enodes 6.971 * * [simplify]: iteration 8: 1072 enodes 8.522 * * [simplify]: iteration 9: 4998 enodes 10.084 * * [simplify]: iteration complete: 5000 enodes 10.085 * * [simplify]: Extracting #0: cost 9 inf + 0 10.085 * * [simplify]: Extracting #1: cost 175 inf + 0 10.088 * * [simplify]: Extracting #2: cost 765 inf + 4 10.092 * * [simplify]: Extracting #3: cost 751 inf + 28 10.097 * * [simplify]: Extracting #4: cost 741 inf + 85 10.102 * * [simplify]: Extracting #5: cost 615 inf + 4595 10.107 * * [simplify]: Extracting #6: cost 82 inf + 23313 10.110 * * [simplify]: Extracting #7: cost 0 inf + 22435 10.113 * * [simplify]: Extracting #8: cost 0 inf + 22104 10.115 * [simplify]: Simplified to: (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 10.116 * * * [progress]: adding candidates to table 10.169 * * [progress]: iteration 3 / 4 10.169 * * * [progress]: picking best candidate 10.183 * * * * [pick]: Picked # 10.183 * * * [progress]: localizing error 10.209 * * * [progress]: generating rewritten candidates 10.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.213 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 10.239 * * * [progress]: generating series expansions 10.239 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 10.240 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.240 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 10.240 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.240 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.240 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.240 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.240 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.240 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.240 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.240 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.240 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.240 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.241 * [backup-simplify]: Simplify 0 into 0 10.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.242 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.244 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.244 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 10.244 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.244 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.244 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.244 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.245 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.245 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.245 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.245 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.245 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.245 * [backup-simplify]: Simplify 0 into 0 10.246 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.246 * [backup-simplify]: Simplify 0 into 0 10.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.246 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.247 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.248 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.249 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 10.249 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 10.249 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.249 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.249 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.249 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 10.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.249 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.249 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.249 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.249 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 10.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.250 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.251 * [backup-simplify]: Simplify 0 into 0 10.252 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.252 * [backup-simplify]: Simplify 0 into 0 10.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.253 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 10.254 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.254 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 10.254 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.254 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.254 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.254 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.254 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.254 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.254 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.254 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.254 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.254 * [backup-simplify]: Simplify 0 into 0 10.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.255 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.256 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.256 * [backup-simplify]: Simplify 0 into 0 10.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.257 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.258 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.258 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 10.258 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.258 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.258 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.258 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.258 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.258 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.259 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.259 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.259 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.259 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.260 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.261 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.263 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 10.263 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 10.263 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.263 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.263 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.263 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 10.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.263 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.263 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.263 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.263 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 10.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.264 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.264 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.265 * [backup-simplify]: Simplify 0 into 0 10.266 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.266 * [backup-simplify]: Simplify 0 into 0 10.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.266 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.267 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.267 * * * * [progress]: [ 3 / 4 ] generating series at (2) 10.267 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.267 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 10.267 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.268 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.268 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.268 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.268 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.268 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.268 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.268 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 10.268 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.268 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.268 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.269 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.269 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.269 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.269 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 10.269 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.269 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.269 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.269 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.270 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.270 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 10.270 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.270 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 10.270 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.270 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.270 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.270 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.270 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.271 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.271 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 10.271 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.271 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.271 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.271 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.271 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.271 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.272 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 10.272 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.272 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.272 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.272 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.272 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.272 * * * [progress]: simplifying candidates 10.273 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log1p (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (exp (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* 1 1) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt 1)) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 10.275 * * [simplify]: iteration 0: 63 enodes 10.290 * * [simplify]: iteration 1: 122 enodes 10.339 * * [simplify]: iteration 2: 600 enodes 11.016 * * [simplify]: iteration complete: 5001 enodes 11.016 * * [simplify]: Extracting #0: cost 28 inf + 0 11.020 * * [simplify]: Extracting #1: cost 1536 inf + 3 11.026 * * [simplify]: Extracting #2: cost 1756 inf + 10 11.033 * * [simplify]: Extracting #3: cost 1746 inf + 46 11.043 * * [simplify]: Extracting #4: cost 1614 inf + 1966 11.050 * * [simplify]: Extracting #5: cost 786 inf + 17621 11.056 * * [simplify]: Extracting #6: cost 61 inf + 32601 11.064 * * [simplify]: Extracting #7: cost 0 inf + 34306 11.072 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 3 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 3 1)) 2 (log (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 3 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1)) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1 (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1 (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1 2 1 (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1))) (* (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1)) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (atan2 1.0 (fma (+ N 1.0) N 1)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (atan2 1.0 (fma (+ N 1.0) N 1)) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 11.072 * * * [progress]: adding candidates to table 11.443 * * [progress]: iteration 4 / 4 11.443 * * * [progress]: picking best candidate 11.463 * * * * [pick]: Picked # 11.463 * * * [progress]: localizing error 11.499 * * * [progress]: generating rewritten candidates 11.499 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 11.500 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 11.502 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.509 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 11.512 * * * [progress]: generating series expansions 11.512 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 11.513 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 11.513 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in (N) around 0 11.513 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 11.513 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 11.513 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 11.513 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 11.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 11.513 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 11.513 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 11.514 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 11.514 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 11.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 11.514 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 11.514 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 11.516 * [backup-simplify]: Simplify 0 into 0 11.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 11.517 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 11.518 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 11.519 * [backup-simplify]: Simplify 0 into 0 11.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 11.520 * [backup-simplify]: Simplify 0 into 0 11.520 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 11.520 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) into (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) 11.520 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in (N) around 0 11.520 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 11.520 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 11.520 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 11.521 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) into (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) 11.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 11.521 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 11.521 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 11.521 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 11.521 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) into (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) 11.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 11.522 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) into (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) 11.522 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 11.524 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 11.525 * [backup-simplify]: Simplify 0 into 0 11.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 11.526 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 11.527 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 11.529 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 11.529 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 11.529 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in (N) around 0 11.529 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 11.529 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 11.529 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 11.530 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 11.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 11.530 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 11.530 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 11.530 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 11.530 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 11.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 11.531 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 11.531 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 11.532 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 11.533 * [backup-simplify]: Simplify 0 into 0 11.534 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 11.535 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 11.538 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 11.538 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.538 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 11.538 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 11.538 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.538 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.538 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.539 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 11.539 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.539 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.539 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.539 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.539 * [backup-simplify]: Simplify 0 into 0 11.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.540 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.541 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.543 * [backup-simplify]: Simplify 0 into 0 11.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.544 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.545 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.545 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 11.545 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 11.545 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.546 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.546 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.546 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 11.546 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.546 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.546 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.547 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.547 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.548 * [backup-simplify]: Simplify 0 into 0 11.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.549 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.551 * [backup-simplify]: Simplify 0 into 0 11.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.552 * [backup-simplify]: Simplify 0 into 0 11.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.553 * [backup-simplify]: Simplify 0 into 0 11.553 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.553 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.553 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 11.553 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 11.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.554 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.554 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.554 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 11.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.554 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.555 * [backup-simplify]: Simplify 0 into 0 11.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.556 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.557 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.559 * [backup-simplify]: Simplify 0 into 0 11.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.560 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.561 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.562 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 3) 11.562 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 3) in (N) around 0 11.562 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 3) in N 11.562 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) in N 11.562 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) in N 11.562 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) in N 11.562 * [taylor]: Taking taylor expansion of 1/4 in N 11.562 * [backup-simplify]: Simplify 1/4 into 1/4 11.562 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (+ N 1.0) N 1))) in N 11.562 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 11.562 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 11.562 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (+ N 1.0) N 1))) into (log (atan2 1.0 (fma (+ N 1.0) N 1))) 11.563 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) into (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) 11.563 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) into (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 11.563 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 3) in N 11.563 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) in N 11.563 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) in N 11.563 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) in N 11.563 * [taylor]: Taking taylor expansion of 1/4 in N 11.563 * [backup-simplify]: Simplify 1/4 into 1/4 11.563 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (+ N 1.0) N 1))) in N 11.563 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 11.563 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 11.563 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (+ N 1.0) N 1))) into (log (atan2 1.0 (fma (+ N 1.0) N 1))) 11.564 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) into (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) 11.564 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) into (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 11.564 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4)) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 11.565 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 11.565 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 11.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 1) into 0 11.567 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 11.568 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.568 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4))) into 0 11.569 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 11.569 * [backup-simplify]: Simplify 0 into 0 11.571 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 2) into 0 11.572 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0 11.574 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.575 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4)))) into 0 11.575 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0 11.575 * [backup-simplify]: Simplify 0 into 0 11.579 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 6) into 0 11.580 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1))))))) into 0 11.581 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.581 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4))))) into 0 11.582 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))))) into 0 11.582 * [backup-simplify]: Simplify 0 into 0 11.586 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 24) into 0 11.587 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1)))))))) into 0 11.588 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.589 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4)))))) into 0 11.596 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))) into 0 11.596 * [backup-simplify]: Simplify 0 into 0 11.601 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 120) into 0 11.603 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1))))))))) into 0 11.605 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.606 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4))))))) into 0 11.608 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))))))) into 0 11.608 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 720) into 0 11.621 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1)))))))))) into 0 11.624 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.625 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4)))))))) into 0 11.627 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))))) into 0 11.627 * [backup-simplify]: Simplify 0 into 0 11.627 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 11.627 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) 3) into (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 3) 11.627 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 3) in (N) around 0 11.627 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 3) in N 11.627 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) in N 11.627 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) in N 11.627 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) in N 11.627 * [taylor]: Taking taylor expansion of 1/4 in N 11.627 * [backup-simplify]: Simplify 1/4 into 1/4 11.627 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 11.627 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 11.628 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 11.628 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) into (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) 11.628 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) into (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) 11.628 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 11.628 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 3) in N 11.628 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) in N 11.628 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) in N 11.628 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) in N 11.628 * [taylor]: Taking taylor expansion of 1/4 in N 11.628 * [backup-simplify]: Simplify 1/4 into 1/4 11.628 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 11.628 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 11.628 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 11.628 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) into (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) 11.628 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) into (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) 11.629 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 11.629 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4)) into (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) 11.629 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) into (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3) 1/4) 11.629 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3) 1/4) 11.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1)))) 1) into 0 11.630 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 11.631 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.631 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4))) into 0 11.632 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 11.632 * [backup-simplify]: Simplify 0 into 0 11.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1)))) 2) into 0 11.634 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))))) into 0 11.634 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.635 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4)))) into 0 11.636 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))))) into 0 11.636 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1)))) 6) into 0 11.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))))) into 0 11.639 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.640 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4))))) into 0 11.641 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))))) into 0 11.641 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1)))) 24) into 0 11.648 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))))))) into 0 11.651 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.653 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4)))))) into 0 11.655 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))))))) into 0 11.655 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1)))) 120) into 0 11.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))))))) into 0 11.671 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.674 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4))))))) into 0 11.676 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))))))) into 0 11.676 * [backup-simplify]: Simplify 0 into 0 11.690 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1)))) 720) into 0 11.693 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))))))))) into 0 11.699 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.701 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4)))))))) into 0 11.703 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))))))))) into 0 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 11.703 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1)))) 3) into (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 3) 11.703 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 3) in (N) around 0 11.703 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 3) in N 11.703 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) in N 11.703 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) in N 11.703 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) in N 11.703 * [taylor]: Taking taylor expansion of 1/4 in N 11.703 * [backup-simplify]: Simplify 1/4 into 1/4 11.703 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 11.703 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 11.703 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 11.704 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 11.704 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) into (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) 11.704 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 11.704 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 3) in N 11.704 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) in N 11.704 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) in N 11.704 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) in N 11.704 * [taylor]: Taking taylor expansion of 1/4 in N 11.704 * [backup-simplify]: Simplify 1/4 into 1/4 11.704 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 11.704 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 11.704 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 11.704 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 11.704 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) into (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) 11.705 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 11.705 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4)) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 11.705 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) into (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3) 1/4) 11.705 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3) 1/4) 11.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 1) into 0 11.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 11.707 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.707 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 11.708 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 11.708 * [backup-simplify]: Simplify 0 into 0 11.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 2) into 0 11.710 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))) into 0 11.710 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.711 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4)))) into 0 11.712 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))) into 0 11.712 * [backup-simplify]: Simplify 0 into 0 11.718 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 6) into 0 11.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))))) into 0 11.720 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.721 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4))))) into 0 11.721 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))))) into 0 11.721 * [backup-simplify]: Simplify 0 into 0 11.725 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 24) into 0 11.726 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))))) into 0 11.727 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.728 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4)))))) into 0 11.729 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))))) into 0 11.729 * [backup-simplify]: Simplify 0 into 0 11.734 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 120) into 0 11.736 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))))))) into 0 11.738 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.739 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4))))))) into 0 11.741 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))))))) into 0 11.741 * [backup-simplify]: Simplify 0 into 0 11.749 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 720) into 0 11.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))))))) into 0 11.757 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.760 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4)))))))) into 0 11.761 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))))))) into 0 11.761 * [backup-simplify]: Simplify 0 into 0 11.761 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 11.761 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 11.762 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.762 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 11.762 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.762 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.762 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.762 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.762 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.762 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.762 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 11.762 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.762 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.762 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.763 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.763 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.763 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.763 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 11.763 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.763 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.763 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.763 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.763 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.764 * * * [progress]: simplifying candidates 11.765 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (log1p (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 3)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1) (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow 1 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (log (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (exp (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (* (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3))) (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (* (* (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow 1 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (/ 3 2)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (/ 3 2)) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 11.766 * * [simplify]: iteration 0: 96 enodes 11.808 * * [simplify]: iteration 1: 257 enodes 11.905 * * [simplify]: iteration 2: 946 enodes 12.681 * * [simplify]: iteration complete: 5000 enodes 12.681 * * [simplify]: Extracting #0: cost 40 inf + 0 12.684 * * [simplify]: Extracting #1: cost 1858 inf + 5 12.691 * * [simplify]: Extracting #2: cost 2286 inf + 110 12.702 * * [simplify]: Extracting #3: cost 2265 inf + 200 12.709 * * [simplify]: Extracting #4: cost 1887 inf + 7296 12.716 * * [simplify]: Extracting #5: cost 541 inf + 35998 12.722 * * [simplify]: Extracting #6: cost 9 inf + 49325 12.728 * * [simplify]: Extracting #7: cost 0 inf + 49577 12.735 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ 3 1)) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ 3 1)) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (log1p (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 3/2 3 3/4 3/2 3/4 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 3)) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (fabs (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (exp (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (fabs (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3/2 (fabs (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3/2)) (fabs (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3/2)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3/2) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 12.735 * * * [progress]: adding candidates to table 13.066 * [progress]: [Phase 3 of 3] Extracting. 13.066 * * [regime]: Finding splitpoints for: (# # # # # # #) 13.068 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 13.068 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # #) 13.116 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 13.162 * * * [regime]: Found split indices: #