49.562 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.033 * * [simplify]: iteration 0: 6 enodes 0.034 * * [simplify]: iteration 1: 9 enodes 0.035 * * [simplify]: iteration 2: 10 enodes 0.036 * * [simplify]: iteration complete: 10 enodes 0.036 * * [simplify]: Extracting #0: cost 1 inf + 0 0.036 * * [simplify]: Extracting #1: cost 4 inf + 0 0.036 * * [simplify]: Extracting #2: cost 6 inf + 0 0.036 * * [simplify]: Extracting #3: cost 6 inf + 1 0.036 * * [simplify]: Extracting #4: cost 0 inf + 21 0.036 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.060 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.060 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.060 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.060 * [taylor]: Taking taylor expansion of (atan N) in N 0.061 * [backup-simplify]: Simplify (atan N) into (atan N) 0.061 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.061 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.061 * [taylor]: Taking taylor expansion of (atan N) in N 0.061 * [backup-simplify]: Simplify (atan N) into (atan N) 0.061 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.061 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.061 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- 0) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- 0) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (- 0) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.064 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.064 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.065 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.065 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.065 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.065 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.065 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.065 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.065 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.065 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.065 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.065 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.069 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.069 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.069 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.069 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.069 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.069 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.069 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.069 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.069 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.069 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.069 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.069 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.069 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.069 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.070 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.073 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.074 * * [simplify]: iteration 0: 62 enodes 0.098 * * [simplify]: iteration 1: 136 enodes 0.136 * * [simplify]: iteration 2: 503 enodes 0.870 * * [simplify]: iteration 3: 4363 enodes 5.403 * * [simplify]: iteration complete: 5000 enodes 5.403 * * [simplify]: Extracting #0: cost 20 inf + 0 5.404 * * [simplify]: Extracting #1: cost 340 inf + 1 5.408 * * [simplify]: Extracting #2: cost 1099 inf + 222 5.412 * * [simplify]: Extracting #3: cost 531 inf + 4098 5.419 * * [simplify]: Extracting #4: cost 133 inf + 8207 5.423 * * [simplify]: Extracting #5: cost 10 inf + 9782 5.427 * * [simplify]: Extracting #6: cost 2 inf + 9867 5.431 * * [simplify]: Extracting #7: cost 0 inf + 9879 5.436 * [simplify]: Simplified to: (- (pow (cbrt (atan (+ 1.0 N))) 3) (atan N)) 0 (- (pow (cbrt (atan (+ 1.0 N))) 3) (atan N)) 0 (- (pow (cbrt (atan (+ 1.0 N))) 3) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (expm1 (- (atan (+ 1.0 N)) (atan N))) (log1p (- (atan (+ 1.0 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- 1.0 0) (fma N (+ 1.0 N) 1) (exp (- (atan (+ 1.0 N)) (atan N))) (log (- (atan (+ 1.0 N)) (atan N))) (exp (- (atan (+ 1.0 N)) (atan N))) (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N)))) (cbrt (- (atan (+ 1.0 N)) (atan N))) (pow (- (atan (+ 1.0 N)) (atan N)) 3) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (pow (atan (+ 1.0 N)) 3) (pow (atan N) 3)) (fma (atan N) (atan N) (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N))))) (- (atan N)) (* (+ (atan N) (atan (+ 1.0 N))) (- (atan (+ 1.0 N)) (atan N))) (+ (atan N) (atan (+ 1.0 N))) (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) 5.436 * * * [progress]: adding candidates to table 5.525 * * [progress]: iteration 2 / 4 5.526 * * * [progress]: picking best candidate 5.529 * * * * [pick]: Picked # 5.529 * * * [progress]: localizing error 5.540 * * * [progress]: generating rewritten candidates 5.540 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.541 * * * [progress]: generating series expansions 5.541 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.541 * [backup-simplify]: Simplify (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.542 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 5.542 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.542 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.542 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 5.542 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.542 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.542 * [backup-simplify]: Simplify (atan2 (- 1.0 0) (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 5.543 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 5.543 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.543 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 5.543 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 5.543 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 5.543 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.544 * [backup-simplify]: Simplify (atan2 (- 1.0 0) (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 5.544 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 5.544 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.544 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 5.544 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 5.544 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 5.544 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 5.544 * * * [progress]: simplifying candidates 5.545 * [simplify]: Simplifying: (expm1 (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (log1p (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (log (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (exp (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (* (cbrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (cbrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)))) (cbrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (* (* (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1)) (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (sqrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (sqrt (atan2 (- 1.0 0) (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 5.545 * * [simplify]: iteration 0: 20 enodes 5.548 * * [simplify]: iteration 1: 30 enodes 5.552 * * [simplify]: iteration 2: 52 enodes 5.560 * * [simplify]: iteration 3: 101 enodes 5.570 * * [simplify]: iteration 4: 142 enodes 5.583 * * [simplify]: iteration 5: 215 enodes 5.604 * * [simplify]: iteration 6: 301 enodes 5.634 * * [simplify]: iteration 7: 474 enodes 5.729 * * [simplify]: iteration 8: 1072 enodes 7.230 * * [simplify]: iteration 9: 4998 enodes 8.428 * * [simplify]: iteration complete: 5000 enodes 8.428 * * [simplify]: Extracting #0: cost 9 inf + 0 8.428 * * [simplify]: Extracting #1: cost 175 inf + 0 8.431 * * [simplify]: Extracting #2: cost 765 inf + 4 8.434 * * [simplify]: Extracting #3: cost 751 inf + 28 8.443 * * [simplify]: Extracting #4: cost 741 inf + 85 8.446 * * [simplify]: Extracting #5: cost 615 inf + 4595 8.449 * * [simplify]: Extracting #6: cost 82 inf + 23313 8.451 * * [simplify]: Extracting #7: cost 0 inf + 22435 8.454 * * [simplify]: Extracting #8: cost 0 inf + 22104 8.456 * [simplify]: Simplified to: (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 8.457 * * * [progress]: adding candidates to table 8.497 * * [progress]: iteration 3 / 4 8.497 * * * [progress]: picking best candidate 8.505 * * * * [pick]: Picked # 8.505 * * * [progress]: localizing error 8.520 * * * [progress]: generating rewritten candidates 8.521 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.522 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.523 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.534 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.537 * * * [progress]: generating series expansions 8.537 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.537 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.537 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 8.537 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 8.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 8.537 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.537 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.537 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 8.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 8.537 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.537 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.538 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.538 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.539 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.541 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 8.541 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 8.541 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 8.541 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 8.541 * [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)) 8.542 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 8.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.542 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 8.542 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 8.542 * [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)) 8.542 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 8.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.542 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 8.542 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.546 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 8.546 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 8.546 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 8.546 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 8.546 * [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)) 8.546 * [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))) 8.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 8.546 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 8.546 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 8.546 * [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)) 8.547 * [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))) 8.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 8.547 * [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))) 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.549 * [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 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [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 8.549 * [backup-simplify]: Simplify 0 into 0 8.550 * [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 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.551 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.551 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 8.551 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 8.551 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 8.551 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.551 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.551 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 8.551 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 8.551 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.551 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.551 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.551 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 8.554 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 8.555 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 8.555 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 8.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 8.555 * [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)) 8.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 8.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.555 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 8.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 8.555 * [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)) 8.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 8.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.556 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.557 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.558 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.559 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 8.559 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 8.559 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 8.559 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 8.559 * [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)) 8.560 * [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))) 8.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 8.560 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 8.560 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 8.560 * [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)) 8.560 * [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))) 8.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 8.560 * [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))) 8.560 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 8.561 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [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 8.562 * [backup-simplify]: Simplify 0 into 0 8.563 * [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 8.563 * [backup-simplify]: Simplify 0 into 0 8.564 * [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 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 8.564 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.564 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.564 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 8.564 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 8.564 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.564 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 8.564 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.564 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.565 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 8.565 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 8.565 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 8.565 * [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)) 8.565 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 8.565 * [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)) 8.566 * [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)) 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [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)) 8.566 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 8.566 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 8.566 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 8.566 * [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)) 8.567 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 8.567 * [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)) 8.567 * [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)) 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [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)) 8.567 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.567 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.567 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 8.567 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 8.568 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.568 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 8.568 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.568 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 8.568 * [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)) 8.568 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 8.568 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 8.568 * [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)) 8.568 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 8.568 * [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)) 8.568 * [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)) 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [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)) 8.569 * [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)) 8.569 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 8.569 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 8.569 * [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)) 8.569 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 8.569 * [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)) 8.569 * [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)) 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [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)) 8.570 * * * [progress]: simplifying candidates 8.571 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log1p (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (exp (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* 1 1) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt 1)) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 8.572 * * [simplify]: iteration 0: 63 enodes 8.590 * * [simplify]: iteration 1: 122 enodes 8.628 * * [simplify]: iteration 2: 600 enodes 9.166 * * [simplify]: iteration complete: 5001 enodes 9.166 * * [simplify]: Extracting #0: cost 28 inf + 0 9.169 * * [simplify]: Extracting #1: cost 1536 inf + 3 9.175 * * [simplify]: Extracting #2: cost 1756 inf + 10 9.184 * * [simplify]: Extracting #3: cost 1746 inf + 46 9.191 * * [simplify]: Extracting #4: cost 1614 inf + 1966 9.197 * * [simplify]: Extracting #5: cost 786 inf + 17621 9.203 * * [simplify]: Extracting #6: cost 61 inf + 32601 9.208 * * [simplify]: Extracting #7: cost 0 inf + 34306 9.214 * [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)) 9.215 * * * [progress]: adding candidates to table 9.511 * * [progress]: iteration 4 / 4 9.511 * * * [progress]: picking best candidate 9.531 * * * * [pick]: Picked # 9.531 * * * [progress]: localizing error 9.563 * * * [progress]: generating rewritten candidates 9.563 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 9.565 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.566 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 9.566 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 9.567 * * * [progress]: generating series expansions 9.567 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 9.567 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.567 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in (N) around 0 9.567 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 9.567 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.567 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.567 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.568 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) in N 9.568 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.568 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.568 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.568 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.568 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.569 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.569 * [backup-simplify]: Simplify 0 into 0 9.570 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.570 * [backup-simplify]: Simplify 0 into 0 9.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) into 0 9.571 * [backup-simplify]: Simplify 0 into 0 9.571 * [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 9.571 * [backup-simplify]: Simplify 0 into 0 9.571 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) into (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 9.572 * [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))) 9.572 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in (N) around 0 9.572 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 9.572 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.572 * [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)) 9.572 * [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))) 9.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.572 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))) in N 9.572 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.572 * [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)) 9.572 * [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))) 9.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.573 * [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))) 9.573 * [backup-simplify]: Simplify 0 into 0 9.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.573 * [backup-simplify]: Simplify 0 into 0 9.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1))))) into 0 9.574 * [backup-simplify]: Simplify 0 into 0 9.575 * [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 9.575 * [backup-simplify]: Simplify 0 into 0 9.575 * [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 9.575 * [backup-simplify]: Simplify 0 into 0 9.576 * [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 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [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))) 9.576 * [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))) 9.576 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in (N) around 0 9.576 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 9.576 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.576 * [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)) 9.576 * [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))) 9.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.577 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))) in N 9.577 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.577 * [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)) 9.577 * [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))) 9.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.577 * [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))) 9.577 * [backup-simplify]: Simplify 0 into 0 9.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.578 * [backup-simplify]: Simplify 0 into 0 9.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1))))) into 0 9.578 * [backup-simplify]: Simplify 0 into 0 9.579 * [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 9.579 * [backup-simplify]: Simplify 0 into 0 9.580 * [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 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [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 9.580 * [backup-simplify]: Simplify 0 into 0 9.581 * [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))) 9.581 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 9.581 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 9.581 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 9.581 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 9.581 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 9.581 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.581 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 9.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 9.581 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 9.581 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 9.581 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.581 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 9.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 9.582 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 9.582 * [backup-simplify]: Simplify 0 into 0 9.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 9.582 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 9.584 * [backup-simplify]: Simplify 0 into 0 9.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 9.584 * [backup-simplify]: Simplify 0 into 0 9.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 9.585 * [backup-simplify]: Simplify 0 into 0 9.585 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 9.585 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 9.585 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 9.585 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 9.585 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 9.585 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 9.585 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 9.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 9.586 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 9.586 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 9.586 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 9.586 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 9.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 9.586 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 9.586 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 9.587 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 9.587 * [backup-simplify]: Simplify 0 into 0 9.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 9.588 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 9.589 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 9.589 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 9.590 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 9.590 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 9.590 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 9.590 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 9.590 * [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)) 9.590 * [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))) 9.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 9.590 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 9.590 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 9.590 * [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)) 9.590 * [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))) 9.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 9.591 * [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))) 9.591 * [backup-simplify]: Simplify 0 into 0 9.591 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 9.591 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 9.592 * [backup-simplify]: Simplify 0 into 0 9.592 * [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 9.593 * [backup-simplify]: Simplify 0 into 0 9.593 * [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 9.593 * [backup-simplify]: Simplify 0 into 0 9.594 * [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 9.594 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 9.594 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 9.594 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.594 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 9.594 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 9.594 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.594 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 9.594 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.594 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.595 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 9.595 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 9.595 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 9.595 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 9.595 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 9.595 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 9.595 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.596 * [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)) 9.596 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 9.596 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 9.596 * [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)) 9.596 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 9.596 * [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)) 9.596 * [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)) 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 9.596 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 9.596 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.597 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in (N) around 0 9.597 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.597 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.597 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ N 1.0) N 1)) in N 9.597 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.597 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.597 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify (atan2 1.0 (fma (+ N 1.0) N 1)) into (atan2 1.0 (fma (+ N 1.0) N 1)) 9.597 * [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)) 9.597 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in (N) around 0 9.597 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.597 * [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)) 9.597 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (+ (/ 1 N) 1.0) (/ 1 N) 1)) in N 9.597 * [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)) 9.598 * [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)) 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [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)) 9.598 * [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)) 9.598 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in (N) around 0 9.598 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.598 * [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)) 9.598 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (- 1.0 (/ 1 N)) (/ -1 N) 1)) in N 9.598 * [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)) 9.598 * [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)) 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.599 * [backup-simplify]: Simplify 0 into 0 9.599 * [backup-simplify]: Simplify 0 into 0 9.599 * [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)) 9.599 * * * [progress]: simplifying candidates 9.599 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (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))) (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 (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 9.600 * * [simplify]: iteration 0: 51 enodes 9.611 * * [simplify]: iteration 1: 71 enodes 9.622 * * [simplify]: iteration 2: 150 enodes 9.641 * * [simplify]: iteration 3: 319 enodes 9.733 * * [simplify]: iteration 4: 1014 enodes 10.486 * * [simplify]: iteration 5: 2922 enodes 10.848 * * [simplify]: iteration complete: 5001 enodes 10.848 * * [simplify]: Extracting #0: cost 21 inf + 0 10.848 * * [simplify]: Extracting #1: cost 341 inf + 2 10.851 * * [simplify]: Extracting #2: cost 1387 inf + 12 10.855 * * [simplify]: Extracting #3: cost 1442 inf + 183 10.858 * * [simplify]: Extracting #4: cost 1329 inf + 576 10.862 * * [simplify]: Extracting #5: cost 612 inf + 13727 10.865 * * [simplify]: Extracting #6: cost 19 inf + 25335 10.869 * * [simplify]: Extracting #7: cost 3 inf + 25779 10.872 * * [simplify]: Extracting #8: cost 0 inf + 25859 10.875 * [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))) (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))) (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)) 10.875 * * * [progress]: adding candidates to table 11.173 * [progress]: [Phase 3 of 3] Extracting. 11.173 * * [regime]: Finding splitpoints for: (# # # # # #) 11.175 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.175 * * * * [regimes]: Trying to branch on N from (# # # # # #) 11.221 * * * [regime]: Found split indices: #