29.516 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.040 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.040 * * [simplify]: iteration 0: 6 enodes 0.041 * * [simplify]: iteration 1: 11 enodes 0.043 * * [simplify]: iteration 2: 12 enodes 0.044 * * [simplify]: iteration complete: 12 enodes 0.044 * * [simplify]: Extracting #0: cost 1 inf + 0 0.044 * * [simplify]: Extracting #1: cost 4 inf + 0 0.044 * * [simplify]: Extracting #2: cost 6 inf + 0 0.044 * * [simplify]: Extracting #3: cost 4 inf + 253 0.044 * * [simplify]: Extracting #4: cost 0 inf + 735 0.044 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.067 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.067 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.067 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.067 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.068 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.068 * [taylor]: Taking taylor expansion of (atan N) in N 0.068 * [backup-simplify]: Simplify (atan N) into (atan N) 0.068 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.068 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.068 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.069 * [taylor]: Taking taylor expansion of (atan N) in N 0.069 * [backup-simplify]: Simplify (atan N) into (atan N) 0.069 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.069 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.069 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan 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 0.071 * [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 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.075 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.075 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.075 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.075 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.075 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.075 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.075 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.076 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.076 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.076 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.076 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.076 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.081 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.081 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.081 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.081 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.081 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.081 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.082 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.082 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.082 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.082 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.082 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.082 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.082 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [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 0.085 * [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 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.087 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.087 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.087 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.087 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.087 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.087 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.087 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.088 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.088 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.088 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.088 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.088 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.088 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.088 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.088 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.088 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.088 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.088 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.088 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.089 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.089 * [backup-simplify]: Simplify 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 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.089 * * * [progress]: simplifying candidates 0.089 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.089 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.089 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.090 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.090 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.090 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.090 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.090 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.090 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.090 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.090 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.090 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.090 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.090 * [simplify]: Simplifying: (- (+ N 1) N) (+ 1 (* (+ N 1) N)) (/ (exp (atan (+ N 1))) (exp (atan N))) (log (- (atan (+ N 1)) (atan N))) (exp (- (atan (+ N 1)) (atan N))) (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N))) (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N)) (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (log (atan (+ N 1))) (exp (atan (+ N 1))) (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (real->posit16 (atan (+ N 1))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (atan (+ N 1)) (atan (+ N 1)) 0.090 * * [simplify]: iteration 0: 41 enodes 0.098 * * [simplify]: iteration 1: 77 enodes 0.127 * * [simplify]: iteration 2: 151 enodes 0.168 * * [simplify]: iteration 3: 313 enodes 0.243 * * [simplify]: iteration 4: 719 enodes 0.534 * * [simplify]: iteration 5: 2018 enodes 1.287 * * [simplify]: iteration complete: 5000 enodes 1.287 * * [simplify]: Extracting #0: cost 25 inf + 0 1.287 * * [simplify]: Extracting #1: cost 269 inf + 1 1.290 * * [simplify]: Extracting #2: cost 935 inf + 2406 1.298 * * [simplify]: Extracting #3: cost 1349 inf + 26197 1.343 * * [simplify]: Extracting #4: cost 626 inf + 229978 1.412 * * [simplify]: Extracting #5: cost 178 inf + 466126 1.499 * * [simplify]: Extracting #6: cost 74 inf + 530805 1.574 * * [simplify]: Extracting #7: cost 12 inf + 552590 1.669 * * [simplify]: Extracting #8: cost 0 inf + 556886 1.752 * [simplify]: Simplified to: 1 (+ (+ (* N N) N) 1) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (atan N) (* (atan N) (atan N)))) (+ (* (atan N) (atan N)) (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N))))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan N) (atan (+ 1 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (log (atan (+ 1 N))) (exp (atan (+ 1 N))) (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (real->posit16 (atan (+ 1 N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan (+ 1 N)) (atan (+ 1 N)) 1.754 * * * [progress]: adding candidates to table 1.847 * * [progress]: iteration 2 / 4 1.847 * * * [progress]: picking best candidate 1.849 * * * * [pick]: Picked # 1.849 * * * [progress]: localizing error 1.860 * * * [progress]: generating rewritten candidates 1.860 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.860 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.881 * * * [progress]: generating series expansions 1.882 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.882 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.882 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1.882 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.882 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.882 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.882 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.882 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.882 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.882 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1.882 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.883 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.883 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.883 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.883 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.883 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.883 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1.883 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.883 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.883 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.884 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.884 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.884 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.884 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1.884 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1.884 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.884 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.884 * [taylor]: Taking taylor expansion of N in N 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of 1 in N 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of N in N 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.884 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.884 * [taylor]: Taking taylor expansion of N in N 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of 1 in N 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of N in N 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (+ 0 1) into 1 1.885 * [backup-simplify]: Simplify (* 1 0) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (+ 1 0) into 1 1.886 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1.894 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1.894 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1.894 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.894 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.894 * [taylor]: Taking taylor expansion of N in N 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of 1 in N 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of N in N 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (+ 1 0) into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.895 * [taylor]: Taking taylor expansion of N in N 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [taylor]: Taking taylor expansion of 1 in N 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [taylor]: Taking taylor expansion of N in N 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (+ 1 0) into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ 0 1) into 1 1.898 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ 0 0) into 0 1.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1.907 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1.907 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1.907 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.907 * [taylor]: Taking taylor expansion of -1 in N 1.907 * [backup-simplify]: Simplify -1 into -1 1.907 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.907 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.908 * [taylor]: Taking taylor expansion of 1 in N 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.908 * [taylor]: Taking taylor expansion of N in N 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [taylor]: Taking taylor expansion of N in N 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (- 1) into -1 1.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.909 * [backup-simplify]: Simplify (/ -1 1) into -1 1.909 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.909 * [taylor]: Taking taylor expansion of -1 in N 1.909 * [backup-simplify]: Simplify -1 into -1 1.909 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.909 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.909 * [taylor]: Taking taylor expansion of 1 in N 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.909 * [taylor]: Taking taylor expansion of N in N 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [taylor]: Taking taylor expansion of N in N 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (- 1) into -1 1.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.910 * [backup-simplify]: Simplify (/ -1 1) into -1 1.910 * [backup-simplify]: Simplify (* -1 -1) into 1 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ 1 0) into 1 1.912 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1.912 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.912 * [backup-simplify]: Simplify -1 into -1 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (- 0) into 0 1.922 * [backup-simplify]: Simplify (+ 0 0) into 0 1.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (- 0) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (- 0) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1.933 * * * [progress]: simplifying candidates 1.933 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 1.933 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 1.933 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 1.934 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 1.934 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 1.935 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) (* (+ N 1) N) (+ (log (+ N 1)) (log N)) (log (* (+ N 1) N)) (exp (* (+ N 1) N)) (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)) (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)) (* (+ N 1) (* (cbrt N) (cbrt N))) (* (+ N 1) (sqrt N)) (* (+ N 1) 1) (* (cbrt (+ N 1)) N) (* (sqrt (+ N 1)) N) (* (+ N 1) N) (* (+ N 1) N) (* (+ (pow N 3) (pow 1 3)) N) (* (- (* N N) (* 1 1)) N) (real->posit16 (* (+ N 1) N)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 1.935 * * [simplify]: iteration 0: 55 enodes 1.955 * * [simplify]: iteration 1: 121 enodes 1.996 * * [simplify]: iteration 2: 266 enodes 2.115 * * [simplify]: iteration 3: 706 enodes 2.818 * * [simplify]: iteration 4: 2728 enodes 3.891 * * [simplify]: iteration complete: 5008 enodes 3.892 * * [simplify]: Extracting #0: cost 25 inf + 0 3.892 * * [simplify]: Extracting #1: cost 369 inf + 0 3.896 * * [simplify]: Extracting #2: cost 1238 inf + 5618 3.910 * * [simplify]: Extracting #3: cost 1185 inf + 80716 3.952 * * [simplify]: Extracting #4: cost 386 inf + 267801 4.003 * * [simplify]: Extracting #5: cost 29 inf + 379578 4.058 * * [simplify]: Extracting #6: cost 3 inf + 388627 4.112 * * [simplify]: Extracting #7: cost 0 inf + 389508 4.166 * [simplify]: Simplified to: (log (atan2 1 (+ (* (+ 1 N) N) 1))) (exp (atan2 1 (+ (* (+ 1 N) N) 1))) (* (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1)))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (atan2 1 (+ (* (+ 1 N) N) 1)))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (real->posit16 (atan2 1 (+ (* (+ 1 N) N) 1))) (* (+ 1 N) N) (log (* (+ 1 N) N)) (log (* (+ 1 N) N)) (exp (* (+ 1 N) N)) (* (* (+ 1 N) N) (* (* (+ 1 N) N) (* (+ 1 N) N))) (* (cbrt (* (+ 1 N) N)) (cbrt (* (+ 1 N) N))) (cbrt (* (+ 1 N) N)) (* (* (+ 1 N) N) (* (* (+ 1 N) N) (* (+ 1 N) N))) (sqrt (* (+ 1 N) N)) (sqrt (* (+ 1 N) N)) (* (sqrt N) (sqrt (+ 1 N))) (* (sqrt N) (sqrt (+ 1 N))) (* (* (+ 1 N) (cbrt N)) (cbrt N)) (* (sqrt N) (+ 1 N)) (+ 1 N) (* (cbrt (+ 1 N)) N) (* N (sqrt (+ 1 N))) (* (+ 1 N) N) (* (+ 1 N) N) (+ N (* (* N N) (* N N))) (* (- (* N N) 1) N) (real->posit16 (* (+ 1 N) N)) (atan2 1 (+ (+ 1 N) (* N N))) (atan2 1 (+ (+ 1 N) (* N N))) (atan2 1 (+ (+ 1 N) (* N N))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 4.167 * * * [progress]: adding candidates to table 4.262 * * [progress]: iteration 3 / 4 4.262 * * * [progress]: picking best candidate 4.270 * * * * [pick]: Picked # 4.270 * * * [progress]: localizing error 4.281 * * * [progress]: generating rewritten candidates 4.281 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.281 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 4.286 * * * [progress]: generating series expansions 4.286 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.286 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ N (* N N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.286 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 4.286 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.286 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.286 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.286 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.286 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.287 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.287 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 4.287 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.287 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.287 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.287 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.287 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.288 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.288 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 4.288 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.288 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.288 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.288 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.288 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.288 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 4.288 * [backup-simplify]: Simplify (+ N (* N N)) into (+ N (pow N 2)) 4.288 * [approximate]: Taking taylor expansion of (+ N (pow N 2)) in (N) around 0 4.289 * [taylor]: Taking taylor expansion of (+ N (pow N 2)) in N 4.289 * [taylor]: Taking taylor expansion of N in N 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.289 * [taylor]: Taking taylor expansion of N in N 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [taylor]: Taking taylor expansion of (+ N (pow N 2)) in N 4.289 * [taylor]: Taking taylor expansion of N in N 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.289 * [taylor]: Taking taylor expansion of N in N 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (+ 0 0) into 0 4.289 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify (+ 1 0) into 1 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (* 1 1) into 1 4.290 * [backup-simplify]: Simplify (+ 0 1) into 1 4.290 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.291 * [backup-simplify]: Simplify (+ 0 0) into 0 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.292 * [backup-simplify]: Simplify (+ 0 0) into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (+ 0 0) into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.295 * [backup-simplify]: Simplify (+ 0 0) into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.296 * [backup-simplify]: Simplify (+ 0 0) into 0 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 4.296 * [backup-simplify]: Simplify (+ (/ 1 N) (* (/ 1 N) (/ 1 N))) into (+ (/ 1 (pow N 2)) (/ 1 N)) 4.296 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (/ 1 N)) in (N) around 0 4.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (/ 1 N)) in N 4.296 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.296 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.296 * [taylor]: Taking taylor expansion of N in N 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (* 1 1) into 1 4.297 * [backup-simplify]: Simplify (/ 1 1) into 1 4.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.297 * [taylor]: Taking taylor expansion of N in N 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify (/ 1 1) into 1 4.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (/ 1 N)) in N 4.297 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.297 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.297 * [taylor]: Taking taylor expansion of N in N 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify (* 1 1) into 1 4.298 * [backup-simplify]: Simplify (/ 1 1) into 1 4.298 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.298 * [taylor]: Taking taylor expansion of N in N 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 1 into 1 4.298 * [backup-simplify]: Simplify (/ 1 1) into 1 4.299 * [backup-simplify]: Simplify (+ 1 0) into 1 4.299 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ 0 1) into 1 4.300 * [backup-simplify]: Simplify 1 into 1 4.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (+ 0 0) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.306 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (+ 0 0) into 0 4.312 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 4.313 * [backup-simplify]: Simplify (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (- (/ 1 (pow N 2)) (/ 1 N)) 4.313 * [approximate]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in (N) around 0 4.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in N 4.313 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.313 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.313 * [taylor]: Taking taylor expansion of N in N 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (* 1 1) into 1 4.313 * [backup-simplify]: Simplify (/ 1 1) into 1 4.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.313 * [taylor]: Taking taylor expansion of N in N 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in N 4.314 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.314 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.314 * [taylor]: Taking taylor expansion of N in N 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (* 1 1) into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.314 * [taylor]: Taking taylor expansion of N in N 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.315 * [backup-simplify]: Simplify (+ 1 0) into 1 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (- 1) into -1 4.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.316 * [backup-simplify]: Simplify -1 into -1 4.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (- 0) into 0 4.318 * [backup-simplify]: Simplify (+ 0 0) into 0 4.318 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (- 0) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.320 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.322 * [backup-simplify]: Simplify (- 0) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.325 * [backup-simplify]: Simplify (- 0) into 0 4.325 * [backup-simplify]: Simplify (+ 0 0) into 0 4.325 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (- 0) into 0 4.328 * [backup-simplify]: Simplify (+ 0 0) into 0 4.328 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.334 * [backup-simplify]: Simplify (- 0) into 0 4.334 * [backup-simplify]: Simplify (+ 0 0) into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 4.334 * * * [progress]: simplifying candidates 4.335 * * * * [progress]: [ 1 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 2 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 3 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 4 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 5 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 6 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 7 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 8 / 28 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (+ N (* N N)))))))> 4.335 * * * * [progress]: [ 9 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 10 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 11 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 12 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 13 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 14 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 15 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 16 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 17 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 18 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 19 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 20 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 21 / 28 ] simplifiying candidate #real (real->posit16 (+ N (* N N)))))))> 4.335 * * * * [progress]: [ 22 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 23 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 24 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 25 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 26 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 27 / 28 ] simplifiying candidate # 4.335 * * * * [progress]: [ 28 / 28 ] simplifiying candidate # 4.336 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (+ N (* N N))))) (exp (atan2 1 (+ 1 (+ N (* N N))))) (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (* (* (atan2 1 (+ 1 (+ N (* N N)))) (atan2 1 (+ 1 (+ N (* N N))))) (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (real->posit16 (atan2 1 (+ 1 (+ N (* N N))))) (* (exp N) (exp (* N N))) (log (+ N (* N N))) (exp (+ N (* N N))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (cbrt (+ N (* N N))) (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))) (sqrt (+ N (* N N))) (sqrt (+ N (* N N))) (+ (pow N 3) (pow (* N N) 3)) (+ (* N N) (- (* (* N N) (* N N)) (* N (* N N)))) (- (* N N) (* (* N N) (* N N))) (- N (* N N)) (+ 1 N) (+ N 1) (real->posit16 (+ N (* N N))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 4.336 * * [simplify]: iteration 0: 43 enodes 4.345 * * [simplify]: iteration 1: 101 enodes 4.376 * * [simplify]: iteration 2: 322 enodes 4.555 * * [simplify]: iteration 3: 1310 enodes 4.959 * * [simplify]: iteration complete: 5000 enodes 4.959 * * [simplify]: Extracting #0: cost 21 inf + 0 4.960 * * [simplify]: Extracting #1: cost 334 inf + 0 4.964 * * [simplify]: Extracting #2: cost 1643 inf + 464 4.975 * * [simplify]: Extracting #3: cost 1716 inf + 45045 5.015 * * [simplify]: Extracting #4: cost 295 inf + 244956 5.064 * * [simplify]: Extracting #5: cost 69 inf + 298897 5.114 * * [simplify]: Extracting #6: cost 15 inf + 307597 5.166 * * [simplify]: Extracting #7: cost 0 inf + 312000 5.219 * [simplify]: Simplified to: (log (atan2 1 (+ (+ N 1) (* N N)))) (exp (atan2 1 (+ (+ N 1) (* N N)))) (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (* (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (real->posit16 (atan2 1 (+ (+ N 1) (* N N)))) (exp (+ (* N N) N)) (log (+ (* N N) N)) (exp (+ (* N N) N)) (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N)) (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) (sqrt (+ (* N N) N)) (sqrt (+ (* N N) N)) (+ (* N (* N N)) (* (* N (* N N)) (* N (* N N)))) (+ (* N N) (* (- (* N N) N) (* N N))) (- (* N N) (* (* N N) (* N N))) (- N (* N N)) (+ N 1) (+ N 1) (real->posit16 (+ (* N N) N)) (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (+ (* N N) N) (+ (* N N) N) (+ (* N N) N) 5.220 * * * [progress]: adding candidates to table 5.291 * * [progress]: iteration 4 / 4 5.291 * * * [progress]: picking best candidate 5.297 * * * * [pick]: Picked # 5.298 * * * [progress]: localizing error 5.318 * * * [progress]: generating rewritten candidates 5.318 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.319 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.320 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.328 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.329 * * * [progress]: generating series expansions 5.329 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.329 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ N (* N N))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.329 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 5.329 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 5.329 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.329 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.330 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.330 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 5.330 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.330 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.330 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.330 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.330 * [backup-simplify]: Simplify 0 into 0 5.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.331 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.332 * [backup-simplify]: Simplify 0 into 0 5.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.333 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.334 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.334 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N)))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 5.334 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 5.334 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 5.334 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.334 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.334 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 5.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.334 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 5.334 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.334 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.335 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 5.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.335 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 5.335 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.335 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.336 * [backup-simplify]: Simplify 0 into 0 5.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.337 * [backup-simplify]: Simplify 0 into 0 5.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.337 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.338 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.338 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 5.338 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 5.338 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 5.338 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.339 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.339 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 5.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.339 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 5.339 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.339 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.339 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 5.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.339 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 5.339 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.340 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.341 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.342 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.343 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.343 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.343 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ N (* N N))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.343 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 5.343 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 5.343 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.343 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.343 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.343 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 5.343 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.343 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.344 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.344 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.344 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.345 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.346 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 5.347 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.347 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N)))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 5.347 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 5.347 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 5.347 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.347 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.347 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 5.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.348 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 5.348 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.348 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.348 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 5.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.348 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 5.348 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.349 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.350 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.351 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.352 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 5.352 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 5.352 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 5.352 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.352 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.352 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 5.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.352 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 5.352 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.352 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.353 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 5.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.353 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 5.353 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.354 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.356 * [backup-simplify]: Simplify 0 into 0 5.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 5.357 * [backup-simplify]: Simplify 0 into 0 5.357 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 5.357 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.357 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.357 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 5.357 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.358 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.358 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.358 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.358 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.358 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N)))))) (sqrt (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N))))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.358 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 5.358 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.358 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.358 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.359 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.359 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.359 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.359 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 5.359 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.359 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.359 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.360 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.360 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.360 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.360 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ N (* N N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.360 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 5.360 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.360 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.360 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.360 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.360 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.361 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.361 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 5.361 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.361 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.361 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.361 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.361 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.362 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.362 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 5.362 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.362 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.362 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.362 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.362 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.362 * * * [progress]: simplifying candidates 5.362 * * * * [progress]: [ 1 / 98 ] simplifiying candidate # 5.362 * * * * [progress]: [ 2 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 3 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 4 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 5 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 6 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 7 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 8 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 9 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 10 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 11 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 12 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 13 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 14 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))))> 5.363 * * * * [progress]: [ 15 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 16 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 17 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 18 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 19 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 20 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 21 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 22 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 23 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 24 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 25 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 26 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 27 / 98 ] simplifiying candidate # 5.363 * * * * [progress]: [ 28 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))> 5.363 * * * * [progress]: [ 29 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 30 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 31 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 32 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 33 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 34 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 35 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 36 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 37 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 38 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 39 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 40 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 41 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 42 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 43 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 44 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 45 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 46 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 47 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 48 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 49 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 50 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 51 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 52 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 53 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 54 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 55 / 98 ] simplifiying candidate # 5.364 * * * * [progress]: [ 56 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 57 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 58 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 59 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 60 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 61 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 62 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 63 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 64 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 65 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 66 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 67 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 68 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 69 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 70 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 71 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 72 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 73 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 74 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 75 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 76 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 77 / 98 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))))> 5.365 * * * * [progress]: [ 78 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 79 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 80 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 81 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 82 / 98 ] simplifiying candidate # 5.365 * * * * [progress]: [ 83 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 84 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 85 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 86 / 98 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (+ N (* N N)))))))))> 5.366 * * * * [progress]: [ 87 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 88 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 89 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 90 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 91 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 92 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 93 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 94 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 95 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 96 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 97 / 98 ] simplifiying candidate # 5.366 * * * * [progress]: [ 98 / 98 ] simplifiying candidate # 5.367 * [simplify]: Simplifying: (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (exp (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))))) (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (real->posit16 (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (exp (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))))) (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (real->posit16 (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (+ 1 (+ N (* N N)))) (atan2 1 (+ 1 (+ N (* N N))))) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (atan2 1 (+ 1 (+ N (* N N)))) (atan2 1 (+ 1 (+ N (* N N))))) (+ 1 1) (+ (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (log (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (log (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (exp (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (* (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (cbrt (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (* (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (atan2 1 (+ 1 (+ N (* N N)))) (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (sqrt (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))))) (sqrt (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* 1 1) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))))) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) 1) (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (real->posit16 (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (log (atan2 1 (+ 1 (+ N (* N N))))) (exp (atan2 1 (+ 1 (+ N (* N N))))) (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (* (* (atan2 1 (+ 1 (+ N (* N N)))) (atan2 1 (+ 1 (+ N (* N N))))) (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (real->posit16 (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) 5.368 * * [simplify]: iteration 0: 65 enodes 5.385 * * [simplify]: iteration 1: 128 enodes 5.416 * * [simplify]: iteration 2: 243 enodes 5.468 * * [simplify]: iteration 3: 482 enodes 5.661 * * [simplify]: iteration 4: 1034 enodes 6.861 * * [simplify]: iteration 5: 4086 enodes 7.980 * * [simplify]: iteration complete: 5002 enodes 7.980 * * [simplify]: Extracting #0: cost 24 inf + 0 7.981 * * [simplify]: Extracting #1: cost 393 inf + 3 7.985 * * [simplify]: Extracting #2: cost 843 inf + 323 7.990 * * [simplify]: Extracting #3: cost 869 inf + 1078 7.995 * * [simplify]: Extracting #4: cost 834 inf + 7835 8.013 * * [simplify]: Extracting #5: cost 676 inf + 87847 8.077 * * [simplify]: Extracting #6: cost 273 inf + 326884 8.181 * * [simplify]: Extracting #7: cost 20 inf + 510132 8.291 * * [simplify]: Extracting #8: cost 0 inf + 525725 8.402 * [simplify]: Simplified to: (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (exp (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (* (atan2 1 (+ (+ N (* N N)) 1)) (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (fabs (cbrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (cbrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) 1 (sqrt (atan2 1 (+ (+ N (* N N)) 1))) 1/2 (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (real->posit16 (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (exp (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (* (atan2 1 (+ (+ N (* N N)) 1)) (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (fabs (cbrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (cbrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) 1 (sqrt (atan2 1 (+ (+ N (* N N)) 1))) 1/2 (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (real->posit16 (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) 1 1 2 1 1 (* (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1))) (atan2 1 (+ (+ N (* N N)) 1)) (* (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1))) 2 (log (atan2 1 (+ (+ N (* N N)) 1))) (log (atan2 1 (+ (+ N (* N N)) 1))) (exp (atan2 1 (+ (+ N (* N N)) 1))) (* (atan2 1 (+ (+ N (* N N)) 1)) (* (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1)))) (* (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (cbrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (* (atan2 1 (+ (+ N (* N N)) 1)) (* (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1)))) (* (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (* (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (cbrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (* (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (cbrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) 1 (atan2 1 (+ (+ N (* N N)) 1)) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) 1 (atan2 1 (+ (+ N (* N N)) 1)) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) 1 2 1 (* (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (* (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (fabs (cbrt (atan2 1 (+ (+ N (* N N)) 1))))) (* (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (* (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (* (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (cbrt (atan2 1 (+ (+ N (* N N)) 1)))) (* (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (cbrt (atan2 1 (+ (+ N (* N N)) 1))))) (* (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))) (atan2 1 (+ (+ N (* N N)) 1)) (* (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))) (atan2 1 (+ (+ N (* N N)) 1)) (real->posit16 (atan2 1 (+ (+ N (* N N)) 1))) (log (atan2 1 (+ (+ N (* N N)) 1))) (exp (atan2 1 (+ (+ N (* N N)) 1))) (* (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (cbrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (* (atan2 1 (+ (+ N (* N N)) 1)) (* (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (real->posit16 (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (sqrt (atan2 1 (+ (+ N (* N N)) 1))) (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1)) 8.408 * * * [progress]: adding candidates to table 8.615 * [progress]: [Phase 3 of 3] Extracting. 8.615 * * [regime]: Finding splitpoints for: (# # # # # # #) 8.616 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1)) (atan N)) N) 8.616 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # #) 8.652 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 8.684 * * * [regime]: Found split indices: #