23.168 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: Extracting # 1 : cost 0 0.048 * * [simplify]: Extracting # 2 : cost 0 0.048 * * [simplify]: Extracting # 3 : cost 0 0.048 * * [simplify]: Extracting # 4 : cost 0 0.048 * * [simplify]: Extracting # 5 : cost 0 0.048 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.050 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.051 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.069 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.070 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.070 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.070 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.070 * [taylor]: Taking taylor expansion of (atan N) in N 0.070 * [backup-simplify]: Simplify (atan N) into (atan N) 0.070 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.070 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.070 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.070 * [taylor]: Taking taylor expansion of (atan N) in N 0.070 * [backup-simplify]: Simplify (atan N) into (atan N) 0.070 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.070 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.070 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [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 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan 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 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.074 * [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 * [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))) 0.075 * [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 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [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 0.080 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.080 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.080 * [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))) 0.081 * [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 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.085 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.086 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.086 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.086 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.086 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.086 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.086 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.086 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.086 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.087 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.087 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.087 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.087 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.087 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.087 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.088 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.088 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.088 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.088 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.088 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.088 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.089 * * * [progress]: simplifying candidates 0.090 * [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)) 0.092 * * [simplify]: Extracting # 0 : cost 0 0.092 * * [simplify]: Extracting # 1 : cost 0 0.092 * * [simplify]: Extracting # 2 : cost 0 0.092 * * [simplify]: Extracting # 3 : cost 0 0.093 * * [simplify]: Extracting # 4 : cost 0 0.093 * * [simplify]: Extracting # 5 : cost 0 0.093 * * [simplify]: Extracting # 6 : cost 0 0.093 * * [simplify]: iteration 0 : 66 enodes (cost 624 ) 0.119 * * [simplify]: Extracting # 0 : cost 0 0.119 * * [simplify]: Extracting # 1 : cost 0 0.119 * * [simplify]: Extracting # 2 : cost 0 0.119 * * [simplify]: Extracting # 3 : cost 0 0.119 * * [simplify]: Extracting # 4 : cost 0 0.119 * * [simplify]: iteration 1 : 131 enodes (cost 503 ) 0.159 * * [simplify]: Extracting # 0 : cost 0 0.160 * * [simplify]: Extracting # 1 : cost 0 0.161 * * [simplify]: Extracting # 2 : cost 0 0.161 * * [simplify]: Extracting # 3 : cost 0 0.162 * * [simplify]: Extracting # 4 : cost 0 0.162 * * [simplify]: iteration 2 : 296 enodes (cost 416 ) 0.397 * * [simplify]: Extracting # 0 : cost 0 0.398 * * [simplify]: Extracting # 1 : cost 0 0.399 * * [simplify]: Extracting # 2 : cost 0 0.400 * * [simplify]: Extracting # 3 : cost 0 0.401 * * [simplify]: Extracting # 4 : cost 0 0.402 * * [simplify]: iteration 3 : 1033 enodes (cost 355 ) 2.498 * * [simplify]: Extracting # 0 : cost 0 2.509 * * [simplify]: Extracting # 1 : cost 0 2.516 * * [simplify]: Extracting # 2 : cost 0 2.523 * * [simplify]: Extracting # 3 : cost 0 2.537 * * [simplify]: Extracting # 4 : cost 0 2.544 * * [simplify]: iteration 4 : 4029 enodes (cost 344 ) 4.020 * * [simplify]: Extracting # 0 : cost 0 4.025 * * [simplify]: Extracting # 1 : cost 0 4.029 * * [simplify]: iteration done: 5000 enodes (cost 344 ) 4.030 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1.0 (fma N (+ N 1.0) 1) (exp (- (atan (+ N 1.0)) (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))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (fma (atan N) (atan N) (* (+ (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)))) (- (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))) (pow (atan (+ N 1.0)) 3) (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)) 4.030 * * * [progress]: adding candidates to table 4.119 * * [progress]: iteration 2 / 4 4.119 * * * [progress]: picking best candidate 4.127 * * * * [pick]: Picked # 4.127 * * * [progress]: localizing error 4.139 * * * [progress]: generating rewritten candidates 4.139 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.140 * * * [progress]: generating series expansions 4.140 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.140 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 4.141 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 4.141 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 4.141 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 4.141 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 4.141 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 4.141 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 4.142 * [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)) 4.142 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 4.142 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 4.142 * [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)) 4.142 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 4.142 * [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)) 4.142 * [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)) 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [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)) 4.144 * [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)) 4.144 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 4.144 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 4.144 * [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)) 4.144 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 4.144 * [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)) 4.145 * [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)) 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [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)) 4.145 * * * [progress]: simplifying candidates 4.146 * [simplify]: Simplifying: (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 4.146 * * [simplify]: Extracting # 0 : cost 0 4.147 * * [simplify]: Extracting # 1 : cost 0 4.147 * * [simplify]: Extracting # 2 : cost 0 4.147 * * [simplify]: Extracting # 3 : cost 0 4.147 * * [simplify]: Extracting # 4 : cost 0 4.147 * * [simplify]: Extracting # 5 : cost 0 4.147 * * [simplify]: iteration 0 : 15 enodes (cost 132 ) 4.152 * * [simplify]: Extracting # 0 : cost 0 4.152 * * [simplify]: Extracting # 1 : cost 0 4.152 * * [simplify]: Extracting # 2 : cost 0 4.153 * * [simplify]: iteration 1 : 21 enodes (cost 132 ) 4.159 * * [simplify]: Extracting # 0 : cost 0 4.159 * * [simplify]: Extracting # 1 : cost 0 4.159 * * [simplify]: Extracting # 2 : cost 0 4.159 * * [simplify]: iteration 2 : 32 enodes (cost 116 ) 4.165 * * [simplify]: Extracting # 0 : cost 0 4.165 * * [simplify]: Extracting # 1 : cost 0 4.165 * * [simplify]: Extracting # 2 : cost 0 4.165 * * [simplify]: Extracting # 3 : cost 0 4.165 * * [simplify]: iteration 3 : 56 enodes (cost 116 ) 4.173 * * [simplify]: Extracting # 0 : cost 0 4.174 * * [simplify]: Extracting # 1 : cost 0 4.174 * * [simplify]: Extracting # 2 : cost 0 4.174 * * [simplify]: Extracting # 3 : cost 0 4.174 * * [simplify]: iteration 4 : 68 enodes (cost 116 ) 4.182 * * [simplify]: Extracting # 0 : cost 0 4.183 * * [simplify]: Extracting # 1 : cost 0 4.183 * * [simplify]: Extracting # 2 : cost 0 4.183 * * [simplify]: Extracting # 3 : cost 0 4.183 * * [simplify]: Extracting # 4 : cost 0 4.183 * * [simplify]: iteration 5 : 78 enodes (cost 116 ) 4.196 * * [simplify]: Extracting # 0 : cost 0 4.196 * * [simplify]: Extracting # 1 : cost 0 4.196 * * [simplify]: Extracting # 2 : cost 0 4.196 * * [simplify]: Extracting # 3 : cost 0 4.196 * * [simplify]: Extracting # 4 : cost 0 4.196 * * [simplify]: iteration 6 : 99 enodes (cost 116 ) 4.219 * * [simplify]: Extracting # 0 : cost 0 4.219 * * [simplify]: Extracting # 1 : cost 0 4.219 * * [simplify]: Extracting # 2 : cost 0 4.220 * * [simplify]: Extracting # 3 : cost 0 4.220 * * [simplify]: Extracting # 4 : cost 0 4.220 * * [simplify]: iteration 7 : 168 enodes (cost 116 ) 4.294 * * [simplify]: Extracting # 0 : cost 0 4.294 * * [simplify]: Extracting # 1 : cost 0 4.295 * * [simplify]: Extracting # 2 : cost 0 4.295 * * [simplify]: Extracting # 3 : cost 0 4.295 * * [simplify]: Extracting # 4 : cost 0 4.295 * * [simplify]: iteration 8 : 435 enodes (cost 116 ) 4.999 * * [simplify]: Extracting # 0 : cost 0 5.000 * * [simplify]: Extracting # 1 : cost 0 5.001 * * [simplify]: Extracting # 2 : cost 0 5.002 * * [simplify]: Extracting # 3 : cost 0 5.003 * * [simplify]: Extracting # 4 : cost 0 5.004 * * [simplify]: iteration 9 : 1843 enodes (cost 116 ) 5.699 * * [simplify]: Extracting # 0 : cost 0 5.708 * * [simplify]: Extracting # 1 : cost 0 5.714 * * [simplify]: Extracting # 2 : cost 0 5.719 * * [simplify]: Extracting # 3 : cost 0 5.724 * * [simplify]: iteration done: 5001 enodes (cost 116 ) 5.724 * [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)) 5.724 * * * [progress]: adding candidates to table 5.747 * * [progress]: iteration 3 / 4 5.747 * * * [progress]: picking best candidate 5.759 * * * * [pick]: Picked # 5.760 * * * [progress]: localizing error 5.769 * * * [progress]: generating rewritten candidates 5.769 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.771 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.772 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.785 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.788 * * * [progress]: generating series expansions 5.788 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.788 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.788 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 5.788 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 5.788 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.788 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.788 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.788 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 5.788 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.789 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.789 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.789 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.789 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.790 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.790 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.791 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [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 5.792 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.793 * [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))) 5.793 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 5.793 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 5.793 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.793 * [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)) 5.793 * [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))) 5.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 5.793 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 5.793 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.793 * [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)) 5.793 * [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))) 5.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 5.794 * [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))) 5.794 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 5.794 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 5.795 * [backup-simplify]: Simplify 0 into 0 5.796 * [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 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [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 5.796 * [backup-simplify]: Simplify 0 into 0 5.797 * [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 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [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))) 5.797 * [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))) 5.797 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 5.797 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 5.797 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.797 * [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)) 5.798 * [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))) 5.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 5.798 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 5.798 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.798 * [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)) 5.798 * [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))) 5.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 5.798 * [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))) 5.798 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 5.799 * [backup-simplify]: Simplify 0 into 0 5.800 * [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 5.800 * [backup-simplify]: Simplify 0 into 0 5.801 * [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 5.801 * [backup-simplify]: Simplify 0 into 0 5.802 * [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 5.802 * [backup-simplify]: Simplify 0 into 0 5.802 * [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))) 5.802 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.802 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.802 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 5.802 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 5.802 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.802 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.802 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.802 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 5.802 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.802 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.802 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.803 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.803 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.806 * [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 5.806 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 5.806 * [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))) 5.806 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 5.806 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 5.806 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.806 * [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)) 5.806 * [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))) 5.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 5.806 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 5.806 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.807 * [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)) 5.807 * [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))) 5.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 5.807 * [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))) 5.807 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 5.808 * [backup-simplify]: Simplify 0 into 0 5.809 * [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 5.809 * [backup-simplify]: Simplify 0 into 0 5.810 * [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 5.810 * [backup-simplify]: Simplify 0 into 0 5.811 * [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 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [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))) 5.811 * [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))) 5.811 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 5.811 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 5.811 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.811 * [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)) 5.811 * [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))) 5.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 5.811 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 5.811 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.811 * [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)) 5.812 * [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))) 5.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 5.812 * [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))) 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 5.813 * [backup-simplify]: Simplify 0 into 0 5.814 * [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 5.814 * [backup-simplify]: Simplify 0 into 0 5.815 * [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 5.815 * [backup-simplify]: Simplify 0 into 0 5.816 * [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 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [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))) 5.816 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.816 * [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)) 5.816 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 5.816 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.816 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.816 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.817 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.817 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.817 * [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)) 5.817 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 5.817 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.817 * [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)) 5.817 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.817 * [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)) 5.818 * [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)) 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [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)) 5.818 * [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)) 5.818 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 5.818 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.818 * [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)) 5.818 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.818 * [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)) 5.818 * [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)) 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [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)) 5.819 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.819 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.819 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 5.819 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.819 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.819 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.819 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.819 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.820 * [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)) 5.820 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 5.820 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.820 * [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)) 5.820 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.820 * [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)) 5.820 * [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)) 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.821 * [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)) 5.821 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 5.821 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.821 * [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)) 5.821 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.821 * [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)) 5.821 * [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)) 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [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)) 5.821 * * * [progress]: simplifying candidates 5.823 * [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)) 5.825 * * [simplify]: Extracting # 0 : cost 0 5.825 * * [simplify]: Extracting # 1 : cost 0 5.825 * * [simplify]: Extracting # 2 : cost 0 5.825 * * [simplify]: Extracting # 3 : cost 0 5.825 * * [simplify]: Extracting # 4 : cost 0 5.825 * * [simplify]: Extracting # 5 : cost 0 5.825 * * [simplify]: Extracting # 6 : cost 0 5.825 * * [simplify]: iteration 0 : 63 enodes (cost 1755 ) 5.845 * * [simplify]: Extracting # 0 : cost 0 5.845 * * [simplify]: Extracting # 1 : cost 0 5.845 * * [simplify]: Extracting # 2 : cost 0 5.846 * * [simplify]: iteration 1 : 95 enodes (cost 1200 ) 5.861 * * [simplify]: Extracting # 0 : cost 0 5.861 * * [simplify]: Extracting # 1 : cost 0 5.861 * * [simplify]: Extracting # 2 : cost 0 5.862 * * [simplify]: Extracting # 3 : cost 0 5.862 * * [simplify]: Extracting # 4 : cost 0 5.862 * * [simplify]: Extracting # 5 : cost 0 5.862 * * [simplify]: iteration 2 : 212 enodes (cost 1086 ) 5.941 * * [simplify]: Extracting # 0 : cost 0 5.941 * * [simplify]: Extracting # 1 : cost 0 5.942 * * [simplify]: Extracting # 2 : cost 0 5.942 * * [simplify]: Extracting # 3 : cost 0 5.942 * * [simplify]: Extracting # 4 : cost 0 5.943 * * [simplify]: iteration 3 : 420 enodes (cost 1041 ) 6.143 * * [simplify]: Extracting # 0 : cost 0 6.144 * * [simplify]: Extracting # 1 : cost 0 6.145 * * [simplify]: Extracting # 2 : cost 0 6.145 * * [simplify]: Extracting # 3 : cost 0 6.146 * * [simplify]: Extracting # 4 : cost 0 6.147 * * [simplify]: iteration 4 : 858 enodes (cost 1009 ) 8.111 * * [simplify]: Extracting # 0 : cost 0 8.122 * * [simplify]: Extracting # 1 : cost 0 8.126 * * [simplify]: Extracting # 2 : cost 0 8.130 * * [simplify]: Extracting # 3 : cost 0 8.133 * * [simplify]: Extracting # 4 : cost 0 8.137 * * [simplify]: iteration 5 : 4816 enodes (cost 982 ) 10.065 * * [simplify]: Extracting # 0 : cost 0 10.070 * * [simplify]: Extracting # 1 : cost 0 10.074 * * [simplify]: Extracting # 2 : cost 0 10.078 * * [simplify]: iteration done: 5002 enodes (cost 982 ) 10.079 * [simplify]: Simplified to: (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)))) (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 2) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (fabs (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)))) 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)))) (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 2) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (fabs (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)))) 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 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 4) (atan2 1.0 (fma N (+ N 1.0) 1)) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 4) 2 (log (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))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 4) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 2) (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (cbrt (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))) 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))) 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))) 1 2 1 (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 5) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (atan2 1.0 (fma N (+ N 1.0) 1)) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (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))) (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (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))) (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)) 10.080 * * * [progress]: adding candidates to table 10.247 * * [progress]: iteration 4 / 4 10.247 * * * [progress]: picking best candidate 10.261 * * * * [pick]: Picked # 10.261 * * * [progress]: localizing error 10.275 * * * [progress]: generating rewritten candidates 10.275 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 10.277 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 10.278 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 10.285 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 10.288 * * * [progress]: generating series expansions 10.288 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 10.289 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.289 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 10.289 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.289 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.289 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.289 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.289 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.289 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.289 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.289 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.290 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.290 * [backup-simplify]: Simplify 0 into 0 10.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.291 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.293 * [backup-simplify]: Simplify 0 into 0 10.294 * [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 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.294 * [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))) 10.294 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 10.294 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.294 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.294 * [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)) 10.295 * [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))) 10.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.295 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.295 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.295 * [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)) 10.295 * [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))) 10.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.295 * [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))) 10.295 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.296 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.297 * [backup-simplify]: Simplify 0 into 0 10.303 * [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 10.303 * [backup-simplify]: Simplify 0 into 0 10.304 * [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 10.304 * [backup-simplify]: Simplify 0 into 0 10.305 * [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 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [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))) 10.305 * [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))) 10.305 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 10.305 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.305 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.305 * [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)) 10.306 * [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))) 10.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.306 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.306 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.306 * [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)) 10.306 * [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))) 10.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.306 * [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))) 10.306 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.307 * [backup-simplify]: Simplify 0 into 0 10.308 * [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 10.308 * [backup-simplify]: Simplify 0 into 0 10.309 * [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 10.309 * [backup-simplify]: Simplify 0 into 0 10.310 * [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 10.310 * [backup-simplify]: Simplify 0 into 0 10.310 * [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))) 10.310 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 10.310 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.310 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 10.310 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.310 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.310 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.310 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.310 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.310 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.311 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.311 * [backup-simplify]: Simplify 0 into 0 10.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.311 * [backup-simplify]: Simplify 0 into 0 10.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.312 * [backup-simplify]: Simplify 0 into 0 10.313 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.313 * [backup-simplify]: Simplify 0 into 0 10.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.313 * [backup-simplify]: Simplify 0 into 0 10.314 * [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 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.314 * [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))) 10.314 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 10.314 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.314 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.314 * [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)) 10.315 * [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))) 10.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.315 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.315 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.315 * [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)) 10.315 * [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))) 10.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.315 * [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))) 10.315 * [backup-simplify]: Simplify 0 into 0 10.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.316 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [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 10.317 * [backup-simplify]: Simplify 0 into 0 10.318 * [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 10.318 * [backup-simplify]: Simplify 0 into 0 10.319 * [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 10.319 * [backup-simplify]: Simplify 0 into 0 10.319 * [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))) 10.319 * [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))) 10.319 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 10.319 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.319 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.319 * [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)) 10.319 * [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))) 10.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.319 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.319 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.319 * [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)) 10.320 * [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))) 10.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.320 * [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))) 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.321 * [backup-simplify]: Simplify 0 into 0 10.322 * [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 10.322 * [backup-simplify]: Simplify 0 into 0 10.322 * [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 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [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 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [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))) 10.323 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 10.324 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 3) 10.324 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 3) in (N) around 0 10.324 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 3) in N 10.324 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) in N 10.324 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N 10.324 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 10.324 * [taylor]: Taking taylor expansion of 1/4 in N 10.324 * [backup-simplify]: Simplify 1/4 into 1/4 10.324 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.324 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.324 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.324 * [backup-simplify]: Simplify (log (atan2 1.0 (fma N (+ N 1.0) 1))) into (log (atan2 1.0 (fma N (+ N 1.0) 1))) 10.324 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) into (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) 10.324 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) into (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 10.324 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 3) in N 10.324 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) in N 10.324 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N 10.324 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 10.324 * [taylor]: Taking taylor expansion of 1/4 in N 10.324 * [backup-simplify]: Simplify 1/4 into 1/4 10.324 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N 10.324 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.324 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.325 * [backup-simplify]: Simplify (log (atan2 1.0 (fma N (+ N 1.0) 1))) into (log (atan2 1.0 (fma N (+ N 1.0) 1))) 10.325 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) into (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) 10.325 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) into (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 10.325 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 10.325 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) 10.325 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) 10.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 1) into 0 10.326 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.327 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.327 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4))) into 0 10.328 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 10.328 * [backup-simplify]: Simplify 0 into 0 10.329 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 2) into 0 10.329 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1)))))) into 0 10.330 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.331 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)))) into 0 10.331 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) into 0 10.331 * [backup-simplify]: Simplify 0 into 0 10.334 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 6) into 0 10.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1))))))) into 0 10.335 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.336 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4))))) into 0 10.337 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) into 0 10.337 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 24) into 0 10.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1)))))))) into 0 10.343 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.344 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)))))) into 0 10.345 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))) into 0 10.345 * [backup-simplify]: Simplify 0 into 0 10.350 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 120) into 0 10.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1))))))))) into 0 10.353 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.355 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4))))))) into 0 10.356 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))))) into 0 10.356 * [backup-simplify]: Simplify 0 into 0 10.364 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1)))) 720) into 0 10.365 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma N (+ N 1.0) 1)))))))))) into 0 10.369 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.370 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4)))))))) into 0 10.371 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))))) into 0 10.371 * [backup-simplify]: Simplify 0 into 0 10.372 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) 10.372 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) 3) into (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 3) 10.372 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 3) in (N) around 0 10.372 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 3) in N 10.372 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) in N 10.372 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N 10.372 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 10.372 * [taylor]: Taking taylor expansion of 1/4 in N 10.372 * [backup-simplify]: Simplify 1/4 into 1/4 10.372 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.372 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.372 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.372 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) 10.373 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 10.373 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 3) in N 10.373 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) in N 10.373 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N 10.373 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 10.373 * [taylor]: Taking taylor expansion of 1/4 in N 10.373 * [backup-simplify]: Simplify 1/4 into 1/4 10.373 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 10.373 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.373 * [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)) 10.373 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.373 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) 10.373 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 10.374 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 10.374 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3) 1/4) 10.374 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3) 1/4) 10.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 1) into 0 10.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.376 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.376 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4))) into 0 10.376 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 10.376 * [backup-simplify]: Simplify 0 into 0 10.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 2) into 0 10.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0 10.379 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.380 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)))) into 0 10.380 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into 0 10.380 * [backup-simplify]: Simplify 0 into 0 10.382 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 6) into 0 10.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))) into 0 10.384 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.385 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4))))) into 0 10.386 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))) into 0 10.386 * [backup-simplify]: Simplify 0 into 0 10.389 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 24) into 0 10.390 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))))) into 0 10.392 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.393 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)))))) into 0 10.394 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))))) into 0 10.394 * [backup-simplify]: Simplify 0 into 0 10.405 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 120) into 0 10.406 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))))) into 0 10.408 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.410 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4))))))) into 0 10.411 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))))))) into 0 10.411 * [backup-simplify]: Simplify 0 into 0 10.420 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1)))) 720) into 0 10.421 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))))))) into 0 10.424 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.426 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4)))))))) into 0 10.427 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))))))) into 0 10.427 * [backup-simplify]: Simplify 0 into 0 10.428 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) 10.428 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) 3) into (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 3) 10.428 * [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 10.428 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 3) in N 10.428 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) in N 10.428 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N 10.428 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 10.428 * [taylor]: Taking taylor expansion of 1/4 in N 10.428 * [backup-simplify]: Simplify 1/4 into 1/4 10.428 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.428 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.428 * [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)) 10.428 * [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))) 10.428 * [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)))) 10.429 * [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) 10.429 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) 3) in N 10.429 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/4) in N 10.429 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N 10.429 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 10.429 * [taylor]: Taking taylor expansion of 1/4 in N 10.429 * [backup-simplify]: Simplify 1/4 into 1/4 10.429 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 10.429 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.429 * [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)) 10.429 * [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))) 10.429 * [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)))) 10.429 * [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) 10.430 * [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))) 10.430 * [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) 10.430 * [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) 10.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1)))) 1) into 0 10.431 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 10.432 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.432 * [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 10.432 * [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 10.432 * [backup-simplify]: Simplify 0 into 0 10.434 * [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 10.435 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))))) into 0 10.436 * [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 10.436 * [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 10.437 * [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 10.437 * [backup-simplify]: Simplify 0 into 0 10.439 * [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 10.440 * [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 10.441 * [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 10.441 * [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 10.442 * [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 10.442 * [backup-simplify]: Simplify 0 into 0 10.446 * [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 10.447 * [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 10.448 * [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 10.449 * [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 10.450 * [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 10.451 * [backup-simplify]: Simplify 0 into 0 10.456 * [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 10.457 * [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 10.460 * [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 10.461 * [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 10.463 * [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 10.463 * [backup-simplify]: Simplify 0 into 0 10.472 * [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 10.474 * [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 10.477 * [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 10.479 * [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 10.480 * [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 10.481 * [backup-simplify]: Simplify 0 into 0 10.481 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) 10.481 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 10.481 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.481 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 10.481 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.481 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.482 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.482 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.482 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.482 * [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)) 10.483 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 10.483 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.483 * [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)) 10.483 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.483 * [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)) 10.483 * [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)) 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.484 * [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)) 10.484 * [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)) 10.484 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 10.484 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.484 * [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)) 10.484 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.484 * [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)) 10.484 * [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)) 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [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)) 10.485 * * * [progress]: simplifying candidates 10.487 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (log1p (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (* (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (* (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 3)) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 1) (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow 1 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (exp (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (* (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3))) (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (* (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow 1 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (/ 3 2)) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (/ 3 2)) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 10.488 * * [simplify]: Extracting # 0 : cost 0 10.488 * * [simplify]: Extracting # 1 : cost 0 10.489 * * [simplify]: Extracting # 2 : cost 0 10.489 * * [simplify]: Extracting # 3 : cost 0 10.489 * * [simplify]: Extracting # 4 : cost 0 10.489 * * [simplify]: Extracting # 5 : cost 0 10.489 * * [simplify]: Extracting # 6 : cost 0 10.489 * * [simplify]: iteration 0 : 80 enodes (cost 1383 ) 10.520 * * [simplify]: Extracting # 0 : cost 0 10.521 * * [simplify]: Extracting # 1 : cost 0 10.521 * * [simplify]: Extracting # 2 : cost 0 10.521 * * [simplify]: Extracting # 3 : cost 0 10.521 * * [simplify]: Extracting # 4 : cost 0 10.521 * * [simplify]: iteration 1 : 176 enodes (cost 1137 ) 10.558 * * [simplify]: Extracting # 0 : cost 0 10.558 * * [simplify]: Extracting # 1 : cost 0 10.558 * * [simplify]: Extracting # 2 : cost 0 10.559 * * [simplify]: Extracting # 3 : cost 0 10.559 * * [simplify]: Extracting # 4 : cost 0 10.560 * * [simplify]: iteration 2 : 414 enodes (cost 1112 ) 11.168 * * [simplify]: Extracting # 0 : cost 0 11.171 * * [simplify]: Extracting # 1 : cost 0 11.174 * * [simplify]: Extracting # 2 : cost 0 11.178 * * [simplify]: Extracting # 3 : cost 0 11.180 * * [simplify]: Extracting # 4 : cost 0 11.183 * * [simplify]: iteration 3 : 3050 enodes (cost 1084 ) 13.030 * * [simplify]: Extracting # 0 : cost 0 13.040 * * [simplify]: Extracting # 1 : cost 0 13.045 * * [simplify]: Extracting # 2 : cost 0 13.049 * * [simplify]: Extracting # 3 : cost 0 13.054 * * [simplify]: Extracting # 4 : cost 0 13.059 * * [simplify]: iteration done: 5000 enodes (cost 1067 ) 13.059 * [simplify]: Simplified to: (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 (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (fabs (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)))) 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 (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (fabs (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)))) 1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (log1p (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (* (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (* (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) 3/2 3 3/4 3/2 3/4 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 3)) (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)))) (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) 1 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) 1 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) 1 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (exp (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) 1 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) 1 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) 1 (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3/2 (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3/2) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (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))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) 1/4) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 13.060 * * * [progress]: adding candidates to table 13.267 * [progress]: [Phase 3 of 3] Extracting. 13.267 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 13.269 * * * [regime-changes]: Trying 1 branch expressions: (N) 13.269 * * * * [regimes]: Trying to branch on N from (# # # # # # # # # #) 13.306 * * * [regime]: Found split indices: #