27.424 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.037 * * * [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 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.077 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.077 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.077 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.077 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.077 * [taylor]: Taking taylor expansion of (atan N) in N 0.077 * [backup-simplify]: Simplify (atan N) into (atan N) 0.077 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.077 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.077 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.078 * [taylor]: Taking taylor expansion of (atan N) in N 0.078 * [backup-simplify]: Simplify (atan N) into (atan N) 0.078 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.078 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.078 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- 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 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.082 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.082 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.082 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 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 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.082 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 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 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.082 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.085 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.085 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.086 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.086 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.086 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.086 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.086 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.086 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.086 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.086 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.086 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.086 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.086 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.086 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.086 * [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 (- 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 (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.089 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.089 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.089 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.089 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.089 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.089 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.090 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.090 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.090 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.090 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.090 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.090 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.090 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.090 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.091 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.091 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.091 * * * [progress]: simplifying candidates 0.091 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.091 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.092 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.092 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.092 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.092 * [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)) 0.093 * * [simplify]: iteration 0: 41 enodes 0.106 * * [simplify]: iteration 1: 77 enodes 0.135 * * [simplify]: iteration 2: 151 enodes 0.201 * * [simplify]: iteration 3: 313 enodes 0.289 * * [simplify]: iteration 4: 719 enodes 0.615 * * [simplify]: iteration 5: 2018 enodes 1.337 * * [simplify]: iteration complete: 5000 enodes 1.337 * * [simplify]: Extracting #0: cost 25 inf + 0 1.337 * * [simplify]: Extracting #1: cost 269 inf + 1 1.340 * * [simplify]: Extracting #2: cost 935 inf + 2406 1.347 * * [simplify]: Extracting #3: cost 1349 inf + 26197 1.380 * * [simplify]: Extracting #4: cost 626 inf + 229978 1.467 * * [simplify]: Extracting #5: cost 178 inf + 466126 1.564 * * [simplify]: Extracting #6: cost 74 inf + 530805 1.679 * * [simplify]: Extracting #7: cost 12 inf + 552590 1.823 * * [simplify]: Extracting #8: cost 0 inf + 556886 1.924 * [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)) 1.926 * * * [progress]: adding candidates to table 2.030 * * [progress]: iteration 2 / 4 2.030 * * * [progress]: picking best candidate 2.032 * * * * [pick]: Picked # 2.032 * * * [progress]: localizing error 2.043 * * * [progress]: generating rewritten candidates 2.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.060 * * * [progress]: generating series expansions 2.060 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.060 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.060 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.060 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.060 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.060 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.061 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.061 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.061 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.061 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.061 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.061 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.061 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.061 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.061 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.062 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.062 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.062 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.062 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.062 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.062 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.062 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.063 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.063 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 2.063 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 2.063 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.063 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of 1 in N 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.063 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of 1 in N 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (+ 0 1) into 1 2.064 * [backup-simplify]: Simplify (* 1 0) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (+ 1 0) into 1 2.065 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 2.074 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 2.074 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 2.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.074 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.074 * [taylor]: Taking taylor expansion of N in N 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (/ 1 1) into 1 2.075 * [taylor]: Taking taylor expansion of 1 in N 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [taylor]: Taking taylor expansion of N in N 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (+ 1 0) into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.076 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.076 * [taylor]: Taking taylor expansion of N in N 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [taylor]: Taking taylor expansion of 1 in N 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [taylor]: Taking taylor expansion of N in N 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (+ 1 0) into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (+ 0 1) into 1 2.079 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.079 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [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 2.091 * [backup-simplify]: Simplify 0 into 0 2.092 * [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 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [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 2.093 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 2.094 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 2.094 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 2.094 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.094 * [taylor]: Taking taylor expansion of -1 in N 2.094 * [backup-simplify]: Simplify -1 into -1 2.094 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.094 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.094 * [taylor]: Taking taylor expansion of 1 in N 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.094 * [taylor]: Taking taylor expansion of N in N 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.095 * [taylor]: Taking taylor expansion of N in N 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (- 1) into -1 2.095 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.096 * [backup-simplify]: Simplify (/ -1 1) into -1 2.096 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.096 * [taylor]: Taking taylor expansion of -1 in N 2.096 * [backup-simplify]: Simplify -1 into -1 2.096 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.096 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.096 * [taylor]: Taking taylor expansion of 1 in N 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.096 * [taylor]: Taking taylor expansion of N in N 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (/ 1 1) into 1 2.096 * [taylor]: Taking taylor expansion of N in N 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (- 1) into -1 2.097 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.098 * [backup-simplify]: Simplify (/ -1 1) into -1 2.098 * [backup-simplify]: Simplify (* -1 -1) into 1 2.098 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- 0) into 0 2.100 * [backup-simplify]: Simplify (+ 1 0) into 1 2.101 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 2.101 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.101 * [backup-simplify]: Simplify -1 into -1 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (- 0) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (- 0) into 0 2.111 * [backup-simplify]: Simplify (+ 0 0) into 0 2.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (- 0) into 0 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [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 2.125 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.127 * [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 2.128 * [backup-simplify]: Simplify (- 0) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [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 2.132 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 2.132 * * * [progress]: simplifying candidates 2.132 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 2.132 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.133 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 2.133 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 2.134 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 2.134 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 2.135 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 2.135 * [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)) 2.136 * * [simplify]: iteration 0: 55 enodes 2.159 * * [simplify]: iteration 1: 121 enodes 2.226 * * [simplify]: iteration 2: 266 enodes 2.381 * * [simplify]: iteration 3: 706 enodes 3.139 * * [simplify]: iteration 4: 2728 enodes 4.409 * * [simplify]: iteration complete: 5008 enodes 4.409 * * [simplify]: Extracting #0: cost 25 inf + 0 4.410 * * [simplify]: Extracting #1: cost 369 inf + 0 4.416 * * [simplify]: Extracting #2: cost 1238 inf + 5618 4.439 * * [simplify]: Extracting #3: cost 1185 inf + 80716 4.499 * * [simplify]: Extracting #4: cost 386 inf + 267801 4.569 * * [simplify]: Extracting #5: cost 29 inf + 379578 4.675 * * [simplify]: Extracting #6: cost 3 inf + 388627 4.776 * * [simplify]: Extracting #7: cost 0 inf + 389508 4.839 * [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)) 4.840 * * * [progress]: adding candidates to table 4.973 * * [progress]: iteration 3 / 4 4.973 * * * [progress]: picking best candidate 4.986 * * * * [pick]: Picked # 4.986 * * * [progress]: localizing error 5.003 * * * [progress]: generating rewritten candidates 5.003 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.004 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 5.009 * * * [progress]: generating series expansions 5.010 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.010 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ N (* N N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.010 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 5.010 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.010 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.010 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.010 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.010 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.011 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.011 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 5.011 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.011 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.011 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.011 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.011 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.011 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.011 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 5.011 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.012 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.012 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.012 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.012 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.012 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 5.012 * [backup-simplify]: Simplify (+ N (* N N)) into (+ N (pow N 2)) 5.012 * [approximate]: Taking taylor expansion of (+ N (pow N 2)) in (N) around 0 5.012 * [taylor]: Taking taylor expansion of (+ N (pow N 2)) in N 5.012 * [taylor]: Taking taylor expansion of N in N 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.012 * [taylor]: Taking taylor expansion of N in N 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [taylor]: Taking taylor expansion of (+ N (pow N 2)) in N 5.012 * [taylor]: Taking taylor expansion of N in N 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.013 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.013 * [taylor]: Taking taylor expansion of N in N 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify 1 into 1 5.013 * [backup-simplify]: Simplify (+ 0 0) into 0 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify (+ 1 0) into 1 5.013 * [backup-simplify]: Simplify 1 into 1 5.014 * [backup-simplify]: Simplify (* 1 1) into 1 5.014 * [backup-simplify]: Simplify (+ 0 1) into 1 5.014 * [backup-simplify]: Simplify 1 into 1 5.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.015 * [backup-simplify]: Simplify (+ 0 0) into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.016 * [backup-simplify]: Simplify (+ 0 0) into 0 5.016 * [backup-simplify]: Simplify 0 into 0 5.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.016 * [backup-simplify]: Simplify (+ 0 0) into 0 5.016 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.017 * [backup-simplify]: Simplify (+ 0 0) into 0 5.017 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.018 * [backup-simplify]: Simplify (+ 0 0) into 0 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.020 * [backup-simplify]: Simplify (+ 0 0) into 0 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 5.020 * [backup-simplify]: Simplify (+ (/ 1 N) (* (/ 1 N) (/ 1 N))) into (+ (/ 1 (pow N 2)) (/ 1 N)) 5.020 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (/ 1 N)) in (N) around 0 5.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (/ 1 N)) in N 5.020 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.020 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.020 * [taylor]: Taking taylor expansion of N in N 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.020 * [backup-simplify]: Simplify (* 1 1) into 1 5.021 * [backup-simplify]: Simplify (/ 1 1) into 1 5.021 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.021 * [taylor]: Taking taylor expansion of N in N 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify 1 into 1 5.021 * [backup-simplify]: Simplify (/ 1 1) into 1 5.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (/ 1 N)) in N 5.021 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.021 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.021 * [taylor]: Taking taylor expansion of N in N 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify 1 into 1 5.021 * [backup-simplify]: Simplify (* 1 1) into 1 5.021 * [backup-simplify]: Simplify (/ 1 1) into 1 5.021 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.021 * [taylor]: Taking taylor expansion of N in N 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 1 into 1 5.022 * [backup-simplify]: Simplify (/ 1 1) into 1 5.022 * [backup-simplify]: Simplify (+ 1 0) into 1 5.022 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.023 * [backup-simplify]: Simplify (+ 0 1) into 1 5.023 * [backup-simplify]: Simplify 1 into 1 5.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (+ 0 0) into 0 5.025 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (+ 0 0) into 0 5.027 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ 0 0) into 0 5.030 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (+ 0 0) into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.038 * [backup-simplify]: Simplify (+ 0 0) into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.041 * [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 5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (+ 0 0) into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 5.043 * [backup-simplify]: Simplify (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (- (/ 1 (pow N 2)) (/ 1 N)) 5.043 * [approximate]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in (N) around 0 5.043 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in N 5.043 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.043 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.043 * [taylor]: Taking taylor expansion of N in N 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.044 * [backup-simplify]: Simplify (* 1 1) into 1 5.044 * [backup-simplify]: Simplify (/ 1 1) into 1 5.044 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.044 * [taylor]: Taking taylor expansion of N in N 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 1 into 1 5.045 * [backup-simplify]: Simplify (/ 1 1) into 1 5.045 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in N 5.045 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.045 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.045 * [taylor]: Taking taylor expansion of N in N 5.045 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify 1 into 1 5.045 * [backup-simplify]: Simplify (* 1 1) into 1 5.046 * [backup-simplify]: Simplify (/ 1 1) into 1 5.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.046 * [taylor]: Taking taylor expansion of N in N 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify 1 into 1 5.046 * [backup-simplify]: Simplify (/ 1 1) into 1 5.046 * [backup-simplify]: Simplify (+ 1 0) into 1 5.046 * [backup-simplify]: Simplify 1 into 1 5.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.047 * [backup-simplify]: Simplify (- 1) into -1 5.048 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.048 * [backup-simplify]: Simplify -1 into -1 5.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.050 * [backup-simplify]: Simplify (- 0) into 0 5.050 * [backup-simplify]: Simplify (+ 0 0) into 0 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.052 * [backup-simplify]: Simplify (- 0) into 0 5.052 * [backup-simplify]: Simplify (+ 0 0) into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify (- 0) into 0 5.054 * [backup-simplify]: Simplify (+ 0 0) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (- 0) into 0 5.057 * [backup-simplify]: Simplify (+ 0 0) into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.059 * [backup-simplify]: Simplify (- 0) into 0 5.059 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.061 * [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 5.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.062 * [backup-simplify]: Simplify (- 0) into 0 5.062 * [backup-simplify]: Simplify (+ 0 0) into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 5.062 * * * [progress]: simplifying candidates 5.062 * * * * [progress]: [ 1 / 28 ] simplifiying candidate # 5.062 * * * * [progress]: [ 2 / 28 ] simplifiying candidate # 5.062 * * * * [progress]: [ 3 / 28 ] simplifiying candidate # 5.062 * * * * [progress]: [ 4 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 5 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 6 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 7 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 8 / 28 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (+ N (* N N)))))))> 5.063 * * * * [progress]: [ 9 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 10 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 11 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 12 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 13 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 14 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 15 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 16 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 17 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 18 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 19 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 20 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 21 / 28 ] simplifiying candidate #real (real->posit16 (+ N (* N N)))))))> 5.063 * * * * [progress]: [ 22 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 23 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 24 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 25 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 26 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 27 / 28 ] simplifiying candidate # 5.063 * * * * [progress]: [ 28 / 28 ] simplifiying candidate # 5.064 * [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)) 5.064 * * [simplify]: iteration 0: 43 enodes 5.073 * * [simplify]: iteration 1: 101 enodes 5.105 * * [simplify]: iteration 2: 322 enodes 5.309 * * [simplify]: iteration 3: 1310 enodes 5.831 * * [simplify]: iteration complete: 5000 enodes 5.831 * * [simplify]: Extracting #0: cost 21 inf + 0 5.832 * * [simplify]: Extracting #1: cost 334 inf + 0 5.836 * * [simplify]: Extracting #2: cost 1643 inf + 464 5.849 * * [simplify]: Extracting #3: cost 1716 inf + 45045 5.899 * * [simplify]: Extracting #4: cost 295 inf + 244956 5.974 * * [simplify]: Extracting #5: cost 69 inf + 298897 6.026 * * [simplify]: Extracting #6: cost 15 inf + 307597 6.090 * * [simplify]: Extracting #7: cost 0 inf + 312000 6.143 * [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) 6.144 * * * [progress]: adding candidates to table 6.226 * * [progress]: iteration 4 / 4 6.226 * * * [progress]: picking best candidate 6.233 * * * * [pick]: Picked # 6.233 * * * [progress]: localizing error 6.252 * * * [progress]: generating rewritten candidates 6.253 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.253 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.254 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.263 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.264 * * * [progress]: generating series expansions 6.264 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.264 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ N (* N N))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.264 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 6.264 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 6.264 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.264 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.264 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.265 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 6.265 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.265 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.265 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.265 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.265 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.266 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.267 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.268 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.273 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N)))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 6.273 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 6.273 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 6.273 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.273 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.274 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 6.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.274 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 6.274 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.274 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.274 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 6.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.275 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 6.275 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.276 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.280 * [backup-simplify]: Simplify 0 into 0 6.281 * [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 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.282 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 6.282 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 6.282 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 6.282 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 6.282 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.282 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 6.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.282 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 6.282 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 6.282 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.283 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 6.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.283 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 6.283 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.284 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.285 * [backup-simplify]: Simplify 0 into 0 6.286 * [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 6.286 * [backup-simplify]: Simplify 0 into 0 6.286 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.286 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.287 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ N (* N N))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.287 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 6.287 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 6.287 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.287 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.287 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.287 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 6.287 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.287 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.287 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.287 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.287 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.288 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.290 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.291 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N)))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 6.291 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 6.291 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 6.291 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.291 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.291 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 6.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.291 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 6.291 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.291 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.292 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 6.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.292 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.294 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 6.295 * [backup-simplify]: Simplify 0 into 0 6.296 * [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 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.296 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 6.296 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 6.296 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 6.296 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 6.296 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.296 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 6.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.296 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 6.296 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 6.296 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.297 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 6.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.297 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 6.297 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.298 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.299 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [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 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 6.300 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.301 * [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))) 6.301 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 6.301 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.301 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.301 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.301 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.301 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.302 * [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))) 6.302 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 6.302 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.302 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.302 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.302 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.302 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.303 * [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))) 6.303 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 6.303 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 6.303 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.303 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 6.303 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.303 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.303 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.304 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ N (* N N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.304 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 6.304 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.304 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.304 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.304 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.304 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.304 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.304 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 6.304 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.304 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.304 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.304 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.305 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.305 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.305 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 6.305 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 6.305 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.305 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 6.305 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.305 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.306 * * * [progress]: simplifying candidates 6.306 * * * * [progress]: [ 1 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 2 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 3 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 4 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 5 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 6 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 7 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 8 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 9 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 10 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 11 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 12 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 13 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 14 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))))> 6.306 * * * * [progress]: [ 15 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 16 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 17 / 98 ] simplifiying candidate # 6.306 * * * * [progress]: [ 18 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 19 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 20 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 21 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 22 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 23 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 24 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 25 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 26 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 27 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 28 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))> 6.307 * * * * [progress]: [ 29 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 30 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 31 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 32 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 33 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 34 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 35 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 36 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 37 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 38 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 39 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 40 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 41 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 42 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 43 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 44 / 98 ] simplifiying candidate # 6.307 * * * * [progress]: [ 45 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 46 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 47 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 48 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 49 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 50 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 51 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 52 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 53 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 54 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 55 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 56 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 57 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 58 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 59 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 60 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 61 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 62 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 63 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 64 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 65 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 66 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 67 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 68 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 69 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 70 / 98 ] simplifiying candidate # 6.308 * * * * [progress]: [ 71 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 72 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 73 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 74 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 75 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 76 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 77 / 98 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))))> 6.309 * * * * [progress]: [ 78 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 79 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 80 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 81 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 82 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 83 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 84 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 85 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 86 / 98 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (+ N (* N N)))))))))> 6.309 * * * * [progress]: [ 87 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 88 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 89 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 90 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 91 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 92 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 93 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 94 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 95 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 96 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 97 / 98 ] simplifiying candidate # 6.309 * * * * [progress]: [ 98 / 98 ] simplifiying candidate # 6.311 * [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))) 6.313 * * [simplify]: iteration 0: 65 enodes 6.343 * * [simplify]: iteration 1: 128 enodes 6.371 * * [simplify]: iteration 2: 243 enodes 6.425 * * [simplify]: iteration 3: 482 enodes 6.673 * * [simplify]: iteration 4: 1034 enodes 7.929 * * [simplify]: iteration 5: 4086 enodes 9.012 * * [simplify]: iteration complete: 5002 enodes 9.012 * * [simplify]: Extracting #0: cost 24 inf + 0 9.013 * * [simplify]: Extracting #1: cost 393 inf + 3 9.017 * * [simplify]: Extracting #2: cost 843 inf + 323 9.022 * * [simplify]: Extracting #3: cost 869 inf + 1078 9.027 * * [simplify]: Extracting #4: cost 834 inf + 7835 9.043 * * [simplify]: Extracting #5: cost 676 inf + 87847 9.109 * * [simplify]: Extracting #6: cost 273 inf + 326884 9.212 * * [simplify]: Extracting #7: cost 20 inf + 510132 9.324 * * [simplify]: Extracting #8: cost 0 inf + 525725 9.434 * [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)) 9.440 * * * [progress]: adding candidates to table 9.661 * [progress]: [Phase 3 of 3] Extracting. 9.661 * * [regime]: Finding splitpoints for: (# # # # # # #) 9.662 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1)) (atan N)) N) 9.662 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # #) 9.695 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 9.727 * * * [regime]: Found split indices: #