33.330 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.038 * * [simplify]: iteration 0: 6 enodes 0.039 * * [simplify]: iteration 1: 9 enodes 0.041 * * [simplify]: iteration 2: 10 enodes 0.043 * * [simplify]: iteration complete: 10 enodes 0.043 * * [simplify]: Extracting #0: cost 1 inf + 0 0.043 * * [simplify]: Extracting #1: cost 4 inf + 0 0.043 * * [simplify]: Extracting #2: cost 6 inf + 0 0.043 * * [simplify]: Extracting #3: cost 6 inf + 1 0.043 * * [simplify]: Extracting #4: cost 0 inf + 21 0.043 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.074 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.080 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.082 * [backup-simplify]: Simplify (- (atan (+ 1.0 N)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.082 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.082 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.082 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.082 * [taylor]: Taking taylor expansion of (atan N) in N 0.082 * [backup-simplify]: Simplify (atan N) into (atan N) 0.082 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.082 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.083 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.083 * [taylor]: Taking taylor expansion of (atan N) in N 0.083 * [backup-simplify]: Simplify (atan N) into (atan N) 0.083 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.083 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.083 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- 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 (- 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 (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 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 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.086 * [backup-simplify]: Simplify (- (atan (+ 1.0 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.086 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.086 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.086 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.086 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.086 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.087 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.087 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 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)) in N 0.087 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.087 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.087 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.087 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 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 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.091 * [backup-simplify]: Simplify (- (atan (+ 1.0 (/ 1 (- N)))) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.091 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.091 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.091 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.091 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.091 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.091 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.091 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.091 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.091 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.091 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.091 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.092 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.092 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.092 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.097 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.097 * [backup-simplify]: Simplify (atan (+ 1.0 N)) into (atan (+ N 1.0)) 0.097 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.097 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.097 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.098 * [backup-simplify]: Simplify (atan (+ 1.0 (/ 1 N))) into (atan (+ (/ 1 N) 1.0)) 0.098 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.098 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.098 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.098 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.099 * [backup-simplify]: Simplify (atan (+ 1.0 (/ 1 (- N)))) into (atan (- 1.0 (/ 1 N))) 0.099 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.099 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.099 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.099 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.100 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.100 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.100 * * * [progress]: simplifying candidates 0.101 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N)))) (cbrt (atan (+ 1.0 N))) (- (* (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 (+ 1.0 N))) (cbrt (atan (+ 1.0 N)))) (cbrt (atan (+ 1.0 N))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N)))) (cbrt (atan (+ 1.0 N))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ 1.0 N))) (sqrt (atan (+ 1.0 N))) (- (* (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 (+ 1.0 N))) (sqrt (atan (+ 1.0 N))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ 1.0 N))) (sqrt (atan (+ 1.0 N))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ 1.0 N)) (- (* (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 (+ 1.0 N)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ 1.0 N)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ 1.0 N)) (atan N))) (log1p (- (atan (+ 1.0 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ 1.0 N) N) (+ 1 (* (+ 1.0 N) N)) (/ (exp (atan (+ 1.0 N))) (exp (atan N))) (log (- (atan (+ 1.0 N)) (atan N))) (exp (- (atan (+ 1.0 N)) (atan N))) (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N)))) (cbrt (- (atan (+ 1.0 N)) (atan N))) (* (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N))) (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (pow (atan (+ 1.0 N)) 3) (pow (atan N) 3)) (+ (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (+ (* (atan N) (atan N)) (* (atan (+ 1.0 N)) (atan N)))) (- (atan N)) (- (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (* (atan N) (atan N))) (+ (atan (+ 1.0 N)) (atan N)) (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (expm1 (atan (+ 1.0 N))) (log1p (atan (+ 1.0 N))) (log (atan (+ 1.0 N))) (exp (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N)))) (cbrt (atan (+ 1.0 N))) (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N))) (sqrt (atan (+ 1.0 N))) (sqrt (atan (+ 1.0 N))) (- (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)) 0.103 * * [simplify]: iteration 0: 69 enodes 0.124 * * [simplify]: iteration 1: 143 enodes 0.176 * * [simplify]: iteration 2: 515 enodes 1.170 * * [simplify]: iteration 3: 4610 enodes 7.495 * * [simplify]: iteration complete: 5000 enodes 7.495 * * [simplify]: Extracting #0: cost 29 inf + 0 7.496 * * [simplify]: Extracting #1: cost 427 inf + 2 7.499 * * [simplify]: Extracting #2: cost 1101 inf + 1390 7.504 * * [simplify]: Extracting #3: cost 395 inf + 7843 7.509 * * [simplify]: Extracting #4: cost 46 inf + 11447 7.513 * * [simplify]: Extracting #5: cost 5 inf + 11827 7.522 * * [simplify]: Extracting #6: cost 1 inf + 11843 7.532 * * [simplify]: Extracting #7: cost 0 inf + 11853 7.540 * [simplify]: Simplified to: (- (pow (cbrt (atan (+ N 1.0))) 3) (atan N)) 0 (- (pow (cbrt (atan (+ N 1.0))) 3) (atan N)) 0 (- (pow (cbrt (atan (+ N 1.0))) 3) (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)) 7.541 * * * [progress]: adding candidates to table 7.647 * * [progress]: iteration 2 / 4 7.647 * * * [progress]: picking best candidate 7.649 * * * * [pick]: Picked # 7.649 * * * [progress]: localizing error 7.660 * * * [progress]: generating rewritten candidates 7.660 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 7.660 * * * [progress]: generating series expansions 7.661 * * * * [progress]: [ 1 / 1 ] generating series at (2) 7.661 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 7.661 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 7.661 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 7.661 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 7.661 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 7.661 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 7.661 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 7.662 * [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)) 7.662 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 7.662 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 7.662 * [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)) 7.662 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 7.662 * [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)) 7.662 * [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)) 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [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)) 7.663 * [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)) 7.663 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 7.663 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 7.663 * [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)) 7.663 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 7.664 * [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)) 7.664 * [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)) 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [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)) 7.664 * * * [progress]: simplifying candidates 7.665 * [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)) 7.665 * * [simplify]: iteration 0: 15 enodes 7.669 * * [simplify]: iteration 1: 21 enodes 7.674 * * [simplify]: iteration 2: 32 enodes 7.683 * * [simplify]: iteration 3: 56 enodes 7.691 * * [simplify]: iteration 4: 80 enodes 7.701 * * [simplify]: iteration 5: 114 enodes 7.721 * * [simplify]: iteration 6: 194 enodes 7.755 * * [simplify]: iteration 7: 372 enodes 7.857 * * [simplify]: iteration 8: 1025 enodes 8.522 * * [simplify]: iteration complete: 5000 enodes 8.522 * * [simplify]: Extracting #0: cost 9 inf + 0 8.522 * * [simplify]: Extracting #1: cost 407 inf + 0 8.526 * * [simplify]: Extracting #2: cost 1353 inf + 3 8.532 * * [simplify]: Extracting #3: cost 1426 inf + 23 8.541 * * [simplify]: Extracting #4: cost 1247 inf + 917 8.547 * * [simplify]: Extracting #5: cost 806 inf + 12541 8.552 * * [simplify]: Extracting #6: cost 151 inf + 34062 8.558 * * [simplify]: Extracting #7: cost 0 inf + 38513 8.563 * * [simplify]: Extracting #8: cost 0 inf + 38502 8.567 * [simplify]: Simplified to: (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 8.568 * * * [progress]: adding candidates to table 8.602 * * [progress]: iteration 3 / 4 8.602 * * * [progress]: picking best candidate 8.608 * * * * [pick]: Picked # 8.608 * * * [progress]: localizing error 8.620 * * * [progress]: generating rewritten candidates 8.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.621 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.622 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.633 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.635 * * * [progress]: generating series expansions 8.635 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.635 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.635 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in (N) around 0 8.635 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 8.635 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 8.635 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.635 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.636 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 8.636 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 8.636 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.636 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.636 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.636 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.637 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.638 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.640 * [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))) 8.640 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in (N) around 0 8.640 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 8.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 8.640 * [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)) 8.640 * [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))) 8.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 8.640 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 8.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 8.640 * [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)) 8.640 * [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))) 8.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 8.641 * [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))) 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 8.642 * [backup-simplify]: Simplify 0 into 0 8.643 * [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 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [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 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [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 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.645 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 8.645 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in (N) around 0 8.645 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 8.645 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 8.645 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.645 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 8.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.645 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 8.645 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 8.645 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.645 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 8.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.646 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 8.646 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.646 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.647 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.648 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.649 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.649 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.649 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in (N) around 0 8.650 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 8.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 8.650 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.650 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 8.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 8.650 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.650 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.650 * [backup-simplify]: Simplify 0 into 0 8.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.651 * [backup-simplify]: Simplify 0 into 0 8.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.651 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.652 * [backup-simplify]: Simplify 0 into 0 8.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.653 * [backup-simplify]: Simplify 0 into 0 8.653 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.654 * [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))) 8.654 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in (N) around 0 8.654 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 8.654 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 8.654 * [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)) 8.654 * [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))) 8.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 8.654 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 8.654 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 8.654 * [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)) 8.654 * [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))) 8.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 8.655 * [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))) 8.655 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 8.655 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 8.656 * [backup-simplify]: Simplify 0 into 0 8.657 * [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 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [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 8.657 * [backup-simplify]: Simplify 0 into 0 8.658 * [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 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.658 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 8.658 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in (N) around 0 8.658 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 8.658 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 8.659 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.659 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 8.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.659 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 8.659 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 8.659 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.659 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 8.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.659 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 8.659 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.660 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.661 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.661 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 8.669 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.669 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.669 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in (N) around 0 8.669 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 8.669 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.669 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 8.669 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.669 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.670 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 8.670 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in (N) around 0 8.670 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 8.670 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 8.670 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 8.670 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 8.670 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.671 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1))) (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1)))) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.671 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in (N) around 0 8.671 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 8.671 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.671 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 8.671 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.671 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.672 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.672 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in (N) around 0 8.672 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.672 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.672 * [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)) 8.672 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in (N) around 0 8.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 8.673 * [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)) 8.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 8.673 * [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)) 8.673 * [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)) 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.673 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.673 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in (N) around 0 8.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 8.674 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.674 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 8.674 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.674 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 8.674 * * * [progress]: simplifying candidates 8.675 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (log1p (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (log (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (exp (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (cbrt (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) (cbrt (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (sqrt (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) (* (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* 1 1) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt 1)) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 8.677 * * [simplify]: iteration 0: 63 enodes 8.691 * * [simplify]: iteration 1: 122 enodes 8.729 * * [simplify]: iteration 2: 593 enodes 9.320 * * [simplify]: iteration complete: 5001 enodes 9.320 * * [simplify]: Extracting #0: cost 28 inf + 0 9.325 * * [simplify]: Extracting #1: cost 1478 inf + 3 9.330 * * [simplify]: Extracting #2: cost 1690 inf + 13 9.335 * * [simplify]: Extracting #3: cost 1687 inf + 35 9.343 * * [simplify]: Extracting #4: cost 1543 inf + 2193 9.349 * * [simplify]: Extracting #5: cost 716 inf + 17628 9.354 * * [simplify]: Extracting #6: cost 62 inf + 31414 9.358 * * [simplify]: Extracting #7: cost 0 inf + 33187 9.363 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 3 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 3 1)) 2 (log (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (+ 3 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1)) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1 (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1 (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1 2 1 (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1))) (* (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (+ 3 1)) (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (atan2 1.0 (fma (+ N 1.0) N 1)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (atan2 1.0 (fma (+ N 1.0) N 1)) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 9.364 * * * [progress]: adding candidates to table 9.575 * * [progress]: iteration 4 / 4 9.576 * * * [progress]: picking best candidate 9.592 * * * * [pick]: Picked # 9.592 * * * [progress]: localizing error 9.608 * * * [progress]: generating rewritten candidates 9.608 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 9.610 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.611 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 9.615 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 9.617 * * * [progress]: generating series expansions 9.617 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 9.617 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.617 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in (N) around 0 9.617 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 9.617 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.617 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.617 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.617 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 9.617 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.617 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.617 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.618 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.618 * [backup-simplify]: Simplify 0 into 0 9.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.619 * [backup-simplify]: Simplify 0 into 0 9.620 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.620 * [backup-simplify]: Simplify 0 into 0 9.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.620 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.621 * [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))) 9.621 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in (N) around 0 9.621 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 9.621 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.621 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 9.621 * [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))) 9.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.621 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 9.622 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.622 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 9.622 * [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))) 9.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.622 * [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))) 9.622 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.623 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.623 * [backup-simplify]: Simplify 0 into 0 9.624 * [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 9.624 * [backup-simplify]: Simplify 0 into 0 9.624 * [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 9.624 * [backup-simplify]: Simplify 0 into 0 9.625 * [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 9.625 * [backup-simplify]: Simplify 0 into 0 9.625 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.625 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.625 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in (N) around 0 9.625 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 9.626 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.626 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.626 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.626 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 9.626 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.626 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.626 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.626 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.626 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.627 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.628 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.628 * [backup-simplify]: Simplify 0 into 0 9.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.629 * [backup-simplify]: Simplify 0 into 0 9.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.630 * [backup-simplify]: Simplify 0 into 0 9.630 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.630 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.630 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.630 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in (N) around 0 9.630 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 9.630 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.630 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.630 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.630 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 9.630 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.630 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.630 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.631 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.631 * [backup-simplify]: Simplify 0 into 0 9.631 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.631 * [backup-simplify]: Simplify 0 into 0 9.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.632 * [backup-simplify]: Simplify 0 into 0 9.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.632 * [backup-simplify]: Simplify 0 into 0 9.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.633 * [backup-simplify]: Simplify 0 into 0 9.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.634 * [backup-simplify]: Simplify 0 into 0 9.634 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.634 * [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))) 9.634 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in (N) around 0 9.634 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 9.634 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.634 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 9.634 * [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))) 9.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.634 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 9.634 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.634 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 9.635 * [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))) 9.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.635 * [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))) 9.635 * [backup-simplify]: Simplify 0 into 0 9.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.635 * [backup-simplify]: Simplify 0 into 0 9.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.636 * [backup-simplify]: Simplify 0 into 0 9.637 * [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 9.637 * [backup-simplify]: Simplify 0 into 0 9.637 * [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 9.637 * [backup-simplify]: Simplify 0 into 0 9.638 * [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 9.638 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.638 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.638 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in (N) around 0 9.638 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 9.638 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.638 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.639 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.639 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 9.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.639 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.639 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.639 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.639 * [backup-simplify]: Simplify 0 into 0 9.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.640 * [backup-simplify]: Simplify 0 into 0 9.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.640 * [backup-simplify]: Simplify 0 into 0 9.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.641 * [backup-simplify]: Simplify 0 into 0 9.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.642 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.646 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 9.647 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 3) 9.647 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 3) in (N) around 0 9.647 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 3) in N 9.647 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) in N 9.647 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) in N 9.647 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) in N 9.647 * [taylor]: Taking taylor expansion of 1/4 in N 9.647 * [backup-simplify]: Simplify 1/4 into 1/4 9.647 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (+ N 1.0) N 1))) in N 9.647 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.647 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.647 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (+ N 1.0) N 1))) into (log (atan2 1.0 (fma (+ N 1.0) N 1))) 9.647 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) into (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) 9.647 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) into (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 9.647 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 3) in N 9.647 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) in N 9.647 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) in N 9.647 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) in N 9.647 * [taylor]: Taking taylor expansion of 1/4 in N 9.647 * [backup-simplify]: Simplify 1/4 into 1/4 9.647 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (+ N 1.0) N 1))) in N 9.647 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.647 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.647 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (+ N 1.0) N 1))) into (log (atan2 1.0 (fma (+ N 1.0) N 1))) 9.648 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) into (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1)))) 9.648 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) into (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 9.648 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4)) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.648 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 9.648 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 9.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 1) into 0 9.650 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.650 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.650 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4))) into 0 9.651 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.651 * [backup-simplify]: Simplify 0 into 0 9.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 2) into 0 9.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0 9.653 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.654 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4)))) into 0 9.654 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) into 0 9.654 * [backup-simplify]: Simplify 0 into 0 9.656 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 6) into 0 9.657 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1))))))) into 0 9.658 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.659 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4))))) into 0 9.660 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))))) into 0 9.660 * [backup-simplify]: Simplify 0 into 0 9.663 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 24) into 0 9.664 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1)))))))) into 0 9.665 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.666 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4)))))) into 0 9.667 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))) into 0 9.667 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 120) into 0 9.674 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1))))))))) into 0 9.676 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.677 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4))))))) into 0 9.678 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))))))) into 0 9.678 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1)))) 720) into 0 9.688 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ N 1.0) N 1)))))))))) into 0 9.692 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.693 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4)))))))) into 0 9.695 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))))))) into 0 9.695 * [backup-simplify]: Simplify 0 into 0 9.695 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 9.695 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) 3) into (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 3) 9.695 * [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 9.695 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 3) in N 9.695 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) in N 9.695 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) in N 9.695 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) in N 9.695 * [taylor]: Taking taylor expansion of 1/4 in N 9.695 * [backup-simplify]: Simplify 1/4 into 1/4 9.695 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 9.695 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.695 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 9.695 * [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))) 9.696 * [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)))) 9.696 * [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) 9.696 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) 3) in N 9.696 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1/4) in N 9.696 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) in N 9.696 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))) in N 9.696 * [taylor]: Taking taylor expansion of 1/4 in N 9.696 * [backup-simplify]: Simplify 1/4 into 1/4 9.696 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 9.696 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.696 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 9.696 * [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))) 9.696 * [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)))) 9.696 * [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) 9.697 * [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))) 9.697 * [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) 9.697 * [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) 9.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 1)))) 1) into 0 9.698 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.699 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.699 * [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 9.700 * [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 9.700 * [backup-simplify]: Simplify 0 into 0 9.701 * [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 9.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)))))) into 0 9.702 * [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 9.703 * [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 9.703 * [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 9.704 * [backup-simplify]: Simplify 0 into 0 9.707 * [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 9.708 * [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 9.709 * [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 9.710 * [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 9.711 * [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 9.711 * [backup-simplify]: Simplify 0 into 0 9.714 * [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 9.716 * [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 9.717 * [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 9.718 * [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 9.719 * [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 9.719 * [backup-simplify]: Simplify 0 into 0 9.724 * [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 9.726 * [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 9.728 * [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 9.729 * [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 9.730 * [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 9.730 * [backup-simplify]: Simplify 0 into 0 9.740 * [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 9.742 * [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 9.745 * [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 9.746 * [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 9.748 * [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 9.748 * [backup-simplify]: Simplify 0 into 0 9.748 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 9.748 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1)))) 3) into (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 3) 9.748 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 3) in (N) around 0 9.748 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 3) in N 9.748 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) in N 9.748 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) in N 9.748 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) in N 9.748 * [taylor]: Taking taylor expansion of 1/4 in N 9.748 * [backup-simplify]: Simplify 1/4 into 1/4 9.748 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 9.748 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.749 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.749 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.749 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) into (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) 9.749 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 9.749 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 3) in N 9.749 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) in N 9.749 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) in N 9.749 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) in N 9.749 * [taylor]: Taking taylor expansion of 1/4 in N 9.749 * [backup-simplify]: Simplify 1/4 into 1/4 9.749 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 9.749 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.749 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.749 * [backup-simplify]: Simplify (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) into (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.749 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) into (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) 9.750 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 9.750 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4)) into (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) 9.750 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))) into (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3) 1/4) 9.750 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3) 1/4) 9.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 1) into 0 9.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.752 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.752 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 9.753 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.753 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 2) into 0 9.755 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))) into 0 9.755 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.756 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4)))) into 0 9.756 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))) into 0 9.756 * [backup-simplify]: Simplify 0 into 0 9.758 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 6) into 0 9.760 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))))) into 0 9.761 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.762 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4))))) into 0 9.763 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))))) into 0 9.763 * [backup-simplify]: Simplify 0 into 0 9.766 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 24) into 0 9.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))))) into 0 9.768 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.769 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4)))))) into 0 9.770 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))))) into 0 9.770 * [backup-simplify]: Simplify 0 into 0 9.775 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 120) into 0 9.777 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))))))) into 0 9.779 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.780 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4))))))) into 0 9.781 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))))))) into 0 9.781 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1)))) 720) into 0 9.791 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))))))) into 0 9.794 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.796 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4)))))))) into 0 9.797 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)))))))))) into 0 9.797 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) 3) 1/4) into (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) 9.798 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 9.798 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.798 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in (N) around 0 9.798 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.798 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.798 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.798 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.798 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.798 * [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)) 9.798 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in (N) around 0 9.798 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.798 * [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)) 9.798 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.799 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 9.799 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) into (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 (/ 1 N)) 1.0) (/ 1 (/ 1 N)) 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.799 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ (/ 1 (- N)) 1.0) (/ 1 (- N)) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.799 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in (N) around 0 9.799 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.799 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.799 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.799 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.799 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) into (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify (atan2 1.0 (fma (- 1.0 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.800 * * * [progress]: simplifying candidates 9.801 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (log1p (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 3)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1) (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow 1 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (log (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (exp (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (* (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3))) (cbrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (* (* (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow 1 3) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (* (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (sqrt (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (/ 3 2)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (/ 3 2)) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 9.802 * * [simplify]: iteration 0: 80 enodes 9.837 * * [simplify]: iteration 1: 235 enodes 9.910 * * [simplify]: iteration 2: 978 enodes 11.368 * * [simplify]: iteration complete: 5000 enodes 11.368 * * [simplify]: Extracting #0: cost 40 inf + 0 11.371 * * [simplify]: Extracting #1: cost 1816 inf + 5 11.376 * * [simplify]: Extracting #2: cost 2095 inf + 116 11.383 * * [simplify]: Extracting #3: cost 2072 inf + 205 11.389 * * [simplify]: Extracting #4: cost 1712 inf + 6998 11.395 * * [simplify]: Extracting #5: cost 443 inf + 34664 11.401 * * [simplify]: Extracting #6: cost 9 inf + 46741 11.407 * * [simplify]: Extracting #7: cost 0 inf + 46925 11.415 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ 3 1)) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (cbrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (+ 3 1)) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (log1p (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 3/2 3 3/4 3/2 3/4 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 3)) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (fabs (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (* (log (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (exp (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (pow (fabs (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) (pow (sqrt (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) 3) 1 (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 3/2 (fabs (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3/2)) (fabs (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3/2)) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3/2) (pow (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 3/2) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (pow (pow (atan2 1.0 (fma (+ N 1.0) N 1)) 3) 1/4) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 11.415 * * * [progress]: adding candidates to table 11.677 * [progress]: [Phase 3 of 3] Extracting. 11.677 * * [regime]: Finding splitpoints for: (# # # # # # # #) 11.678 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.678 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 11.723 * * * [regime]: Found split indices: #