41.507 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.043 * * [simplify]: iteration 0: 6 enodes 0.044 * * [simplify]: iteration 1: 9 enodes 0.045 * * [simplify]: iteration 2: 10 enodes 0.046 * * [simplify]: iteration complete: 10 enodes 0.046 * * [simplify]: Extracting #0: cost 1 inf + 0 0.046 * * [simplify]: Extracting #1: cost 4 inf + 0 0.046 * * [simplify]: Extracting #2: cost 6 inf + 0 0.046 * * [simplify]: Extracting #3: cost 6 inf + 1 0.046 * * [simplify]: Extracting #4: cost 0 inf + 735 0.046 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.067 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.067 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.067 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.067 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.067 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.067 * [taylor]: Taking taylor expansion of (atan N) in N 0.067 * [backup-simplify]: Simplify (atan N) into (atan N) 0.067 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.067 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.067 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.067 * [taylor]: Taking taylor expansion of (atan N) in N 0.067 * [backup-simplify]: Simplify (atan N) into (atan N) 0.068 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.068 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.068 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.068 * [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 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [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 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.073 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.073 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.073 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.073 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.073 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.073 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.073 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.073 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.074 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.074 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.074 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.074 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.074 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.079 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.079 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.079 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.079 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.079 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.079 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.079 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.079 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.079 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.079 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.080 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.080 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.080 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.080 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.080 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.084 * * * [progress]: simplifying candidates 0.085 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.086 * * [simplify]: iteration 0: 62 enodes 0.104 * * [simplify]: iteration 1: 136 enodes 0.186 * * [simplify]: iteration 2: 503 enodes 1.100 * * [simplify]: iteration 3: 4363 enodes 7.174 * * [simplify]: iteration complete: 5000 enodes 7.174 * * [simplify]: Extracting #0: cost 20 inf + 0 7.175 * * [simplify]: Extracting #1: cost 340 inf + 1 7.179 * * [simplify]: Extracting #2: cost 1099 inf + 8880 7.204 * * [simplify]: Extracting #3: cost 531 inf + 135135 7.236 * * [simplify]: Extracting #4: cost 133 inf + 272159 7.280 * * [simplify]: Extracting #5: cost 10 inf + 321659 7.328 * * [simplify]: Extracting #6: cost 2 inf + 324121 7.375 * * [simplify]: Extracting #7: cost 0 inf + 324837 7.421 * [simplify]: Simplified to: (- (* (cbrt (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))) (atan N)) 0 (- (* (cbrt (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))) (atan N)) 0 (- (* (cbrt (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (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 (- (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))) (* (- (atan (+ 1.0 N)) (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (* (atan (+ 1.0 N)) (* (atan (+ 1.0 N)) (atan (+ 1.0 N)))) (* (atan N) (* (atan N) (atan N)))) (fma (atan N) (+ (atan N) (atan (+ 1.0 N))) (* (atan (+ 1.0 N)) (atan (+ 1.0 N)))) (- (atan N)) (* (+ (atan N) (atan (+ 1.0 N))) (- (atan (+ 1.0 N)) (atan 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)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) 7.423 * * * [progress]: adding candidates to table 7.532 * * [progress]: iteration 2 / 4 7.532 * * * [progress]: picking best candidate 7.539 * * * * [pick]: Picked # 7.539 * * * [progress]: localizing error 7.552 * * * [progress]: generating rewritten candidates 7.553 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 7.598 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 7.599 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 7.634 * * * [progress]: generating series expansions 7.634 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 7.634 * [backup-simplify]: Simplify (- (+ N 1.0) N) into 1.0 7.634 * [approximate]: Taking taylor expansion of 1.0 in (N) around 0 7.634 * [taylor]: Taking taylor expansion of 1.0 in N 7.634 * [backup-simplify]: Simplify 1.0 into 1.0 7.634 * [taylor]: Taking taylor expansion of 1.0 in N 7.634 * [backup-simplify]: Simplify 1.0 into 1.0 7.634 * [backup-simplify]: Simplify 1.0 into 1.0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 1.0 into 1.0 7.635 * [backup-simplify]: Simplify (- (+ (/ 1 N) 1.0) (/ 1 N)) into 1.0 7.635 * [approximate]: Taking taylor expansion of 1.0 in (N) around 0 7.635 * [taylor]: Taking taylor expansion of 1.0 in N 7.635 * [backup-simplify]: Simplify 1.0 into 1.0 7.635 * [taylor]: Taking taylor expansion of 1.0 in N 7.635 * [backup-simplify]: Simplify 1.0 into 1.0 7.635 * [backup-simplify]: Simplify 1.0 into 1.0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 1.0 into 1.0 7.636 * [backup-simplify]: Simplify (- (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into 1.0 7.636 * [approximate]: Taking taylor expansion of 1.0 in (N) around 0 7.636 * [taylor]: Taking taylor expansion of 1.0 in N 7.636 * [backup-simplify]: Simplify 1.0 into 1.0 7.636 * [taylor]: Taking taylor expansion of 1.0 in N 7.636 * [backup-simplify]: Simplify 1.0 into 1.0 7.636 * [backup-simplify]: Simplify 1.0 into 1.0 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 1.0 into 1.0 7.636 * * * * [progress]: [ 2 / 3 ] generating series at (2) 7.636 * [backup-simplify]: Simplify (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.636 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 7.636 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 7.637 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.637 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 7.637 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.637 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.637 * [backup-simplify]: Simplify 0 into 0 7.637 * [backup-simplify]: Simplify 0 into 0 7.637 * [backup-simplify]: Simplify 0 into 0 7.637 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.638 * [backup-simplify]: Simplify (atan2 (- (+ (/ 1 N) 1.0) (/ 1 N)) (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.638 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 7.638 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 7.638 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 7.639 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.639 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.640 * [backup-simplify]: Simplify (atan2 (- (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.640 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 7.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.641 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.641 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.641 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.641 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.642 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 7.642 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 7.642 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 7.642 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.642 * [taylor]: Taking taylor expansion of N in N 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.642 * [taylor]: Taking taylor expansion of N in N 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [taylor]: Taking taylor expansion of 1.0 in N 7.642 * [backup-simplify]: Simplify 1.0 into 1.0 7.642 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.642 * [taylor]: Taking taylor expansion of N in N 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.642 * [taylor]: Taking taylor expansion of N in N 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [taylor]: Taking taylor expansion of 1.0 in N 7.643 * [backup-simplify]: Simplify 1.0 into 1.0 7.643 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.644 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify (+ 1 0) into 1 7.646 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.646 * [backup-simplify]: Simplify 1.0 into 1.0 7.646 * [backup-simplify]: Simplify (+ 0 0) into 0 7.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.647 * [backup-simplify]: Simplify 1 into 1 7.647 * [backup-simplify]: Simplify (+ 0 0) into 0 7.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify (+ 0 0) into 0 7.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify (+ 0 0) into 0 7.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 7.650 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify (+ 0 0) into 0 7.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify (+ 0 0) into 0 7.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 7.653 * [backup-simplify]: Simplify 0 into 0 7.653 * [backup-simplify]: Simplify (+ 0 0) into 0 7.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 7.655 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 7.655 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 7.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.655 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.655 * [taylor]: Taking taylor expansion of N in N 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [backup-simplify]: Simplify (/ 1 1) into 1 7.655 * [taylor]: Taking taylor expansion of 1.0 in N 7.655 * [backup-simplify]: Simplify 1.0 into 1.0 7.655 * [taylor]: Taking taylor expansion of N in N 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [backup-simplify]: Simplify (+ 1 0) into 1 7.656 * [backup-simplify]: Simplify (/ 1 1) into 1 7.656 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.656 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.656 * [taylor]: Taking taylor expansion of N in N 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [backup-simplify]: Simplify (/ 1 1) into 1 7.656 * [taylor]: Taking taylor expansion of 1.0 in N 7.656 * [backup-simplify]: Simplify 1.0 into 1.0 7.656 * [taylor]: Taking taylor expansion of N in N 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [backup-simplify]: Simplify (+ 1 0) into 1 7.657 * [backup-simplify]: Simplify (/ 1 1) into 1 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.658 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.659 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.659 * [backup-simplify]: Simplify 1.0 into 1.0 7.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.660 * [backup-simplify]: Simplify (+ 0 0) into 0 7.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.660 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.661 * [backup-simplify]: Simplify (+ 0 0) into 0 7.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.662 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.662 * [backup-simplify]: Simplify (+ 0 0) into 0 7.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.664 * [backup-simplify]: Simplify (+ 0 0) into 0 7.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.665 * [backup-simplify]: Simplify (+ 0 0) into 0 7.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.667 * [backup-simplify]: Simplify (+ 0 0) into 0 7.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.668 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 7.668 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 7.668 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 7.668 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 7.668 * [taylor]: Taking taylor expansion of -1 in N 7.668 * [backup-simplify]: Simplify -1 into -1 7.668 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.668 * [taylor]: Taking taylor expansion of 1.0 in N 7.668 * [backup-simplify]: Simplify 1.0 into 1.0 7.668 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.668 * [taylor]: Taking taylor expansion of N in N 7.668 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify 1 into 1 7.668 * [backup-simplify]: Simplify (/ 1 1) into 1 7.668 * [taylor]: Taking taylor expansion of N in N 7.668 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (- 1) into -1 7.669 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.669 * [backup-simplify]: Simplify (/ -1 1) into -1 7.669 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 7.669 * [taylor]: Taking taylor expansion of -1 in N 7.669 * [backup-simplify]: Simplify -1 into -1 7.669 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.669 * [taylor]: Taking taylor expansion of 1.0 in N 7.669 * [backup-simplify]: Simplify 1.0 into 1.0 7.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.669 * [taylor]: Taking taylor expansion of N in N 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.670 * [backup-simplify]: Simplify (/ 1 1) into 1 7.670 * [taylor]: Taking taylor expansion of N in N 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify 1 into 1 7.670 * [backup-simplify]: Simplify (- 1) into -1 7.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.670 * [backup-simplify]: Simplify (/ -1 1) into -1 7.671 * [backup-simplify]: Simplify (* -1 -1) into 1 7.671 * [backup-simplify]: Simplify 1 into 1 7.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (- 0) into 0 7.672 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.673 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.674 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 7.674 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (- 0) into 0 7.675 * [backup-simplify]: Simplify (+ 0 0) into 0 7.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.676 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 7.677 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (- 0) into 0 7.678 * [backup-simplify]: Simplify (+ 0 0) into 0 7.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.679 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.680 * [backup-simplify]: Simplify (- 0) into 0 7.680 * [backup-simplify]: Simplify (+ 0 0) into 0 7.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.682 * [backup-simplify]: Simplify (- 0) into 0 7.683 * [backup-simplify]: Simplify (+ 0 0) into 0 7.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.684 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 7.684 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.685 * [backup-simplify]: Simplify (- 0) into 0 7.685 * [backup-simplify]: Simplify (+ 0 0) into 0 7.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 7.687 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.688 * [backup-simplify]: Simplify (- 0) into 0 7.688 * [backup-simplify]: Simplify (+ 0 0) into 0 7.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 7.690 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 7.691 * * * [progress]: simplifying candidates 7.692 * [simplify]: Simplifying: (fma (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (- (* (cbrt N) (* (cbrt N) (cbrt N))))) (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N)))) (fma (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (- (* (sqrt N) (sqrt N)))) (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N))) (fma (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (- (* N 1))) (fma (- N) 1 (* N 1)) (fma (sqrt (+ N 1.0)) (sqrt (+ N 1.0)) (- (* (cbrt N) (* (cbrt N) (cbrt N))))) (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N)))) (fma (sqrt (+ N 1.0)) (sqrt (+ N 1.0)) (- (* (sqrt N) (sqrt N)))) (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N))) (fma (sqrt (+ N 1.0)) (sqrt (+ N 1.0)) (- (* N 1))) (fma (- N) 1 (* N 1)) (fma 1 (+ N 1.0) (- (* (cbrt N) (* (cbrt N) (cbrt N))))) (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N)))) (fma 1 (+ N 1.0) (- (* (sqrt N) (sqrt N)))) (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N))) (fma 1 (+ N 1.0) (- (* N 1))) (fma (- N) 1 (* N 1)) (fma 1 (+ N 1.0) (- (* (cbrt N) (* (cbrt N) (cbrt N))))) (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N)))) (fma 1 (+ N 1.0) (- (* (sqrt N) (sqrt N)))) (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N))) (fma 1 (+ N 1.0) (- (* N 1))) (fma (- N) 1 (* N 1)) (expm1 (- (+ N 1.0) N)) (log1p (- (+ N 1.0) N)) (- N) (- N) (- N) (- N) (/ (* (exp N) (exp 1.0)) (exp N)) (/ (exp (+ N 1.0)) (exp N)) (log (- (+ N 1.0) N)) (exp (- (+ N 1.0) N)) (* (cbrt (- (+ N 1.0) N)) (cbrt (- (+ N 1.0) N))) (cbrt (- (+ N 1.0) N)) (* (* (- (+ N 1.0) N) (- (+ N 1.0) N)) (- (+ N 1.0) N)) (sqrt (- (+ N 1.0) N)) (sqrt (- (+ N 1.0) N)) (- (pow (+ N 1.0) 3) (pow N 3)) (+ (* (+ N 1.0) (+ N 1.0)) (+ (* N N) (* (+ N 1.0) N))) (- N) (- (* (+ N 1.0) (+ N 1.0)) (* N N)) (+ (+ N 1.0) N) (+ (sqrt (+ N 1.0)) (sqrt N)) (- (sqrt (+ N 1.0)) (sqrt N)) (- (+ N 1.0) N) (- (+ N 1.0) N) (- 1.0 N) (- N) (expm1 (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (log1p (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (log (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (exp (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))) (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (expm1 (* (+ N 1.0) N)) (log1p (* (+ N 1.0) N)) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) 1.0 1.0 1.0 (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) 7.694 * * [simplify]: iteration 0: 106 enodes 7.741 * * [simplify]: iteration 1: 252 enodes 7.888 * * [simplify]: iteration 2: 1237 enodes 8.607 * * [simplify]: iteration complete: 5001 enodes 8.607 * * [simplify]: Extracting #0: cost 48 inf + 0 8.608 * * [simplify]: Extracting #1: cost 664 inf + 1 8.614 * * [simplify]: Extracting #2: cost 1592 inf + 12187 8.642 * * [simplify]: Extracting #3: cost 750 inf + 142535 8.679 * * [simplify]: Extracting #4: cost 104 inf + 222213 8.719 * * [simplify]: Extracting #5: cost 27 inf + 237528 8.760 * * [simplify]: Extracting #6: cost 2 inf + 243247 8.801 * * [simplify]: Extracting #7: cost 0 inf + 243753 8.843 * [simplify]: Simplified to: (- (* (cbrt (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) N) (fma N -1 N) (- (* (cbrt (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) N) (fma N -1 N) (- (* (cbrt (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) N) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (expm1 (+ 1.0 0)) (log1p (+ 1.0 0)) (- N) (- N) (- N) (- N) (exp (+ 1.0 0)) (exp (+ 1.0 0)) (log (+ 1.0 0)) (exp (+ 1.0 0)) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (cbrt (+ 1.0 0)) (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (sqrt (+ 1.0 0)) (sqrt (+ 1.0 0)) (- (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* N (* N N))) (fma N (+ N (+ N 1.0)) (* (+ N 1.0) (+ N 1.0))) (- N) (- (* (+ N 1.0) (+ N 1.0)) (* N N)) (+ N (+ 1.0 N)) (+ (sqrt (+ N 1.0)) (sqrt N)) (- (sqrt (+ N 1.0)) (sqrt N)) (+ 1.0 0) (+ 1.0 0) (- 1.0 N) (- N) (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))) (expm1 (* (+ N 1.0) N)) (log1p (* (+ N 1.0) N)) (* (+ N 1.0) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* N (* (+ N 1.0) (* (* (+ N 1.0) N) (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (fma 1.0 (* 1.0 1.0) (* N (* N N))) N) (* N (* (+ N 1.0) (- N 1.0))) 1.0 1.0 1.0 (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)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) 8.847 * * * [progress]: adding candidates to table 9.050 * * [progress]: iteration 3 / 4 9.050 * * * [progress]: picking best candidate 9.057 * * * * [pick]: Picked # 9.058 * * * [progress]: localizing error 9.065 * * * [progress]: generating rewritten candidates 9.065 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 9.066 * * * [progress]: generating series expansions 9.066 * * * * [progress]: [ 1 / 1 ] generating series at (2) 9.066 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.066 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 9.066 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 9.066 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.066 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 9.066 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.066 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.066 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 9.066 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 9.066 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 9.067 * [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)) 9.067 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 9.067 * [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)) 9.067 * [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)) 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [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)) 9.067 * [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)) 9.067 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 9.067 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 9.067 * [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)) 9.067 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 9.068 * [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)) 9.068 * [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)) 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [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)) 9.068 * * * [progress]: simplifying candidates 9.068 * [simplify]: Simplifying: (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))) (* (* (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))) (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 (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 9.068 * * [simplify]: iteration 0: 18 enodes 9.073 * * [simplify]: iteration 1: 25 enodes 9.076 * * [simplify]: iteration 2: 38 enodes 9.081 * * [simplify]: iteration 3: 62 enodes 9.088 * * [simplify]: iteration 4: 87 enodes 9.099 * * [simplify]: iteration 5: 125 enodes 9.115 * * [simplify]: iteration 6: 195 enodes 9.145 * * [simplify]: iteration 7: 376 enodes 9.253 * * [simplify]: iteration 8: 1017 enodes 10.273 * * [simplify]: iteration complete: 5001 enodes 10.273 * * [simplify]: Extracting #0: cost 9 inf + 0 10.274 * * [simplify]: Extracting #1: cost 226 inf + 0 10.279 * * [simplify]: Extracting #2: cost 1209 inf + 3 10.284 * * [simplify]: Extracting #3: cost 1282 inf + 405 10.290 * * [simplify]: Extracting #4: cost 1096 inf + 28492 10.320 * * [simplify]: Extracting #5: cost 627 inf + 402974 10.418 * * [simplify]: Extracting #6: cost 42 inf + 992543 10.532 * * [simplify]: Extracting #7: cost 0 inf + 1020279 10.646 * * [simplify]: Extracting #8: cost 0 inf + 1018936 10.759 * [simplify]: Simplified to: (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))) (* (* (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))) (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)) 10.760 * * * [progress]: adding candidates to table 10.801 * * [progress]: iteration 4 / 4 10.801 * * * [progress]: picking best candidate 10.812 * * * * [pick]: Picked # 10.812 * * * [progress]: localizing error 10.828 * * * [progress]: generating rewritten candidates 10.829 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.830 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.831 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.845 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 10.847 * * * [progress]: generating series expansions 10.847 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 10.847 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.847 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 10.847 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.847 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.847 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.847 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.848 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.848 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.848 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.848 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.848 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.848 * [backup-simplify]: Simplify 0 into 0 10.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.849 * [backup-simplify]: Simplify 0 into 0 10.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.850 * [backup-simplify]: Simplify 0 into 0 10.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.850 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [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 10.851 * [backup-simplify]: Simplify 0 into 0 10.852 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.852 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.852 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 10.852 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.852 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.852 * [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)) 10.852 * [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))) 10.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.852 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.852 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.852 * [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)) 10.852 * [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))) 10.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.853 * [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))) 10.853 * [backup-simplify]: Simplify 0 into 0 10.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.853 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.854 * [backup-simplify]: Simplify 0 into 0 10.855 * [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 10.855 * [backup-simplify]: Simplify 0 into 0 10.855 * [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 10.855 * [backup-simplify]: Simplify 0 into 0 10.856 * [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 10.856 * [backup-simplify]: Simplify 0 into 0 10.856 * [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))) 10.856 * [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))) 10.856 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 10.856 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.856 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.856 * [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)) 10.856 * [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))) 10.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.857 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.857 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.857 * [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)) 10.857 * [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))) 10.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.857 * [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))) 10.857 * [backup-simplify]: Simplify 0 into 0 10.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.858 * [backup-simplify]: Simplify 0 into 0 10.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.858 * [backup-simplify]: Simplify 0 into 0 10.859 * [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 10.859 * [backup-simplify]: Simplify 0 into 0 10.860 * [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 10.860 * [backup-simplify]: Simplify 0 into 0 10.860 * [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 10.860 * [backup-simplify]: Simplify 0 into 0 10.861 * [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))) 10.861 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 10.861 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.861 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 10.861 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.861 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.861 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.861 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.861 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.861 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.861 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.861 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.861 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.861 * [backup-simplify]: Simplify 0 into 0 10.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.862 * [backup-simplify]: Simplify 0 into 0 10.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.863 * [backup-simplify]: Simplify 0 into 0 10.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.863 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [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 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.865 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.865 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 10.865 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.865 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.865 * [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)) 10.865 * [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))) 10.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.865 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.865 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.865 * [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)) 10.865 * [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))) 10.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.866 * [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))) 10.866 * [backup-simplify]: Simplify 0 into 0 10.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.866 * [backup-simplify]: Simplify 0 into 0 10.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.867 * [backup-simplify]: Simplify 0 into 0 10.867 * [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 10.867 * [backup-simplify]: Simplify 0 into 0 10.868 * [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 10.868 * [backup-simplify]: Simplify 0 into 0 10.869 * [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 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [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))) 10.869 * [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))) 10.869 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 10.869 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.869 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.869 * [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)) 10.869 * [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))) 10.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.869 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.869 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.870 * [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)) 10.870 * [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))) 10.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.870 * [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))) 10.870 * [backup-simplify]: Simplify 0 into 0 10.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.871 * [backup-simplify]: Simplify 0 into 0 10.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.871 * [backup-simplify]: Simplify 0 into 0 10.872 * [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 10.872 * [backup-simplify]: Simplify 0 into 0 10.872 * [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 10.872 * [backup-simplify]: Simplify 0 into 0 10.873 * [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 10.873 * [backup-simplify]: Simplify 0 into 0 10.874 * [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))) 10.874 * * * * [progress]: [ 3 / 4 ] generating series at (2) 10.874 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.874 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 10.874 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.874 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.874 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.874 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.874 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.874 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.875 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.875 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 10.875 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.875 * [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)) 10.875 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.875 * [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)) 10.875 * [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)) 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [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)) 10.876 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.876 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 10.876 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.876 * [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)) 10.876 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.876 * [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)) 10.876 * [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)) 10.876 * [backup-simplify]: Simplify 0 into 0 10.876 * [backup-simplify]: Simplify 0 into 0 10.876 * [backup-simplify]: Simplify 0 into 0 10.876 * [backup-simplify]: Simplify 0 into 0 10.876 * [backup-simplify]: Simplify 0 into 0 10.876 * [backup-simplify]: Simplify 0 into 0 10.876 * [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)) 10.876 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 10.876 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.876 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 10.876 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.876 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.877 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.877 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.877 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.877 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.877 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 10.877 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.877 * [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)) 10.877 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.877 * [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)) 10.877 * [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)) 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify 0 into 0 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [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)) 10.878 * [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)) 10.878 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 10.878 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.878 * [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)) 10.878 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.878 * [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)) 10.878 * [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)) 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [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)) 10.878 * * * [progress]: simplifying candidates 10.880 * [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 (+ 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 (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (log1p (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1.0 (fma N (+ 1.0 N) 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)))) (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (log (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (exp (* (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))))) (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (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)))))) (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 (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))) (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))) (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)))) (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 (* (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))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))) (* (sqrt (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 (sqrt (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 (sqrt (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 1)) (* (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)))) (sqrt (sqrt (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 (sqrt (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 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* 1 1) (* (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)))) (sqrt (sqrt (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 (sqrt (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 (sqrt (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 (sqrt (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 (sqrt (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))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (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 (* (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 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt 1)) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) 1) (* (cbrt (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)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (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 (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)))) (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))) (* (* (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))) (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))) (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)) 10.881 * * [simplify]: iteration 0: 67 enodes 10.895 * * [simplify]: iteration 1: 127 enodes 10.937 * * [simplify]: iteration 2: 616 enodes 11.550 * * [simplify]: iteration complete: 5000 enodes 11.550 * * [simplify]: Extracting #0: cost 28 inf + 0 11.553 * * [simplify]: Extracting #1: cost 1451 inf + 3 11.558 * * [simplify]: Extracting #2: cost 1676 inf + 345 11.564 * * [simplify]: Extracting #3: cost 1668 inf + 764 11.573 * * [simplify]: Extracting #4: cost 1525 inf + 39987 11.607 * * [simplify]: Extracting #5: cost 786 inf + 281365 11.671 * * [simplify]: Extracting #6: cost 70 inf + 552356 11.744 * * [simplify]: Extracting #7: cost 0 inf + 581569 11.816 * [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)))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1))) (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)))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1))) (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 (* (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))) 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))) (* (* (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))) (* (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))) (* (* (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))) (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))) (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))))) (* (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 (* (* (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))))) (* (fabs (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 (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 (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))) (cbrt (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))))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (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))))) (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))) (* (* (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))) (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)) 11.821 * * * [progress]: adding candidates to table 12.108 * [progress]: [Phase 3 of 3] Extracting. 12.108 * * [regime]: Finding splitpoints for: (# # # # #) 12.109 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.109 * * * * [regimes]: Trying to branch on N from (# # # # #) 12.145 * * * [regime]: Found split indices: #