33.281 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.039 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.039 * * [simplify]: iteration 1: (6 enodes) 0.040 * * [simplify]: iteration 2: (11 enodes) 0.042 * * [simplify]: iteration 3: (12 enodes) 0.043 * * [simplify]: Extracting #0: cost 1 inf + 0 0.043 * * [simplify]: Extracting #1: cost 4 inf + 0 0.043 * * [simplify]: Extracting #2: cost 6 inf + 0 0.043 * * [simplify]: Extracting #3: cost 4 inf + 253 0.043 * * [simplify]: Extracting #4: cost 0 inf + 735 0.043 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.074 * * * * [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 0.078 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.078 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.078 * [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 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.078 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.078 * [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)) 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [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 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.083 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.083 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.083 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.083 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.083 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.083 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.083 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.083 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.083 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.083 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.083 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.083 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.083 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.084 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [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 0.088 * [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 0.089 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.089 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.089 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.089 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.089 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.089 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.089 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.089 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.089 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.089 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.089 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.089 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.089 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 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 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.093 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.093 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.093 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.093 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.093 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.093 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.093 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.093 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.093 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.093 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.093 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.093 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.093 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.093 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.093 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.094 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.094 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.094 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.094 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.094 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.094 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.094 * * * [progress]: simplifying candidates 0.094 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 0.094 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 0.094 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 0.094 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 0.094 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 0.094 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 0.094 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 0.094 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 0.094 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 17 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 22 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.095 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 0.095 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 0.096 * * * * [progress]: [ 39 / 46 ] simplifiying candidate # 0.096 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.096 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 0.096 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 0.096 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 0.096 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 0.096 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 0.096 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 0.096 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1)) (atan N))) (log1p (- (atan (+ N 1)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ 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))) (expm1 (atan (+ N 1))) (log1p (atan (+ N 1))) (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)) 0.097 * * [simplify]: iteration 1: (67 enodes) 0.111 * * [simplify]: iteration 2: (140 enodes) 0.159 * * [simplify]: iteration 3: (288 enodes) 0.289 * * [simplify]: iteration 4: (771 enodes) 0.673 * * [simplify]: Extracting #0: cost 30 inf + 0 0.673 * * [simplify]: Extracting #1: cost 166 inf + 2 0.675 * * [simplify]: Extracting #2: cost 391 inf + 788 0.680 * * [simplify]: Extracting #3: cost 315 inf + 57398 0.701 * * [simplify]: Extracting #4: cost 26 inf + 180843 0.724 * * [simplify]: Extracting #5: cost 1 inf + 191067 0.746 * * [simplify]: Extracting #6: cost 0 inf + 191294 0.768 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (expm1 (- (atan (+ 1 N)) (atan N))) (log1p (- (atan (+ 1 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1 (+ 1 (fma N N N)) (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))) (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N)) (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (expm1 (atan (+ 1 N))) (log1p (atan (+ 1 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)) 0.770 * * * [progress]: adding candidates to table 1.109 * * [progress]: iteration 2 / 4 1.109 * * * [progress]: picking best candidate 1.116 * * * * [pick]: Picked # 1.116 * * * [progress]: localizing error 1.129 * * * [progress]: generating rewritten candidates 1.129 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.129 * * * [progress]: generating series expansions 1.129 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.129 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma N N N))) into (atan2 1 (+ (fma N N N) 1)) 1.129 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 1.129 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 1.129 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.129 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 1.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.130 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 1.130 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 1.130 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 1.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 1.130 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 1.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 1.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.131 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 1.131 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 1.131 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 1.131 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 1.131 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 1.131 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 1.131 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.131 * * * [progress]: simplifying candidates 1.131 * * * * [progress]: [ 1 / 13 ] simplifiying candidate # 1.131 * * * * [progress]: [ 2 / 13 ] simplifiying candidate # 1.131 * * * * [progress]: [ 3 / 13 ] simplifiying candidate # 1.131 * * * * [progress]: [ 4 / 13 ] simplifiying candidate # 1.132 * * * * [progress]: [ 5 / 13 ] simplifiying candidate # 1.132 * * * * [progress]: [ 6 / 13 ] simplifiying candidate # 1.132 * * * * [progress]: [ 7 / 13 ] simplifiying candidate # 1.132 * * * * [progress]: [ 8 / 13 ] simplifiying candidate # 1.132 * * * * [progress]: [ 9 / 13 ] simplifiying candidate # 1.132 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (fma N N N))))))> 1.132 * * * * [progress]: [ 11 / 13 ] simplifiying candidate # 1.132 * * * * [progress]: [ 12 / 13 ] simplifiying candidate # 1.132 * * * * [progress]: [ 13 / 13 ] simplifiying candidate # 1.132 * [simplify]: Simplifying: (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) 1.132 * * [simplify]: iteration 1: (17 enodes) 1.136 * * [simplify]: iteration 2: (22 enodes) 1.139 * * [simplify]: iteration 3: (30 enodes) 1.144 * * [simplify]: iteration 4: (43 enodes) 1.152 * * [simplify]: iteration 5: (59 enodes) 1.163 * * [simplify]: iteration 6: (83 enodes) 1.175 * * [simplify]: iteration 7: (138 enodes) 1.211 * * [simplify]: iteration 8: (243 enodes) 1.263 * * [simplify]: iteration 9: (521 enodes) 1.586 * * [simplify]: iteration 10: (1615 enodes) 5.302 * * [simplify]: Extracting #0: cost 10 inf + 0 5.302 * * [simplify]: Extracting #1: cost 177 inf + 0 5.306 * * [simplify]: Extracting #2: cost 957 inf + 4 5.315 * * [simplify]: Extracting #3: cost 957 inf + 58 5.321 * * [simplify]: Extracting #4: cost 952 inf + 352 5.333 * * [simplify]: Extracting #5: cost 856 inf + 81135 5.412 * * [simplify]: Extracting #6: cost 190 inf + 843447 5.538 * * [simplify]: Extracting #7: cost 0 inf + 1058715 5.667 * * [simplify]: Extracting #8: cost 0 inf + 1050676 5.798 * * [simplify]: Extracting #9: cost 0 inf + 1047529 5.930 * [simplify]: Simplified to: (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) 5.930 * * * [progress]: adding candidates to table 6.005 * * [progress]: iteration 3 / 4 6.005 * * * [progress]: picking best candidate 6.014 * * * * [pick]: Picked # 6.015 * * * [progress]: localizing error 6.030 * * * [progress]: generating rewritten candidates 6.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.031 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.032 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.044 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.045 * * * [progress]: generating series expansions 6.045 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.046 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.046 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 6.046 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 6.046 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 6.046 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.046 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.046 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 6.046 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 6.046 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.046 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.046 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.046 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.050 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 6.050 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 6.050 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 6.050 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 6.050 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.050 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 6.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.050 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 6.050 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 6.050 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.050 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 6.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.050 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 6.050 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.051 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.053 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.054 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 6.054 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 6.054 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 6.054 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 6.054 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.054 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 6.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.054 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 6.054 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 6.054 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.054 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 6.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.055 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.055 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.056 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.057 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.058 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.058 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.058 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 6.058 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 6.058 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 6.058 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.058 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.059 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 6.059 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 6.059 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.059 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.059 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.059 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.060 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.062 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 6.062 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 6.062 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 6.062 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 6.062 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.062 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 6.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.062 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 6.062 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 6.063 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.063 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 6.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.063 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.064 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.066 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 6.066 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 6.066 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 6.066 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 6.066 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.067 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 6.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.067 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 6.067 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 6.067 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.067 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 6.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.067 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 6.067 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.068 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.069 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.070 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 6.071 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 6.072 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.072 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) into (atan2 1 (+ (fma N N N) 1)) 6.072 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 6.072 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 6.072 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.072 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 6.072 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.072 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.072 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.072 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 6.072 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 6.073 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.073 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 6.073 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.073 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.073 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.073 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 6.073 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 6.073 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.073 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 6.074 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.074 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.074 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.074 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma N N N))) into (atan2 1 (+ (fma N N N) 1)) 6.074 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 6.074 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 6.074 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.074 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 6.074 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.074 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.075 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.075 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 6.075 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 6.075 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.075 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 6.075 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.075 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.075 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.075 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 6.075 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 6.075 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.075 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 6.075 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.076 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 6.076 * * * [progress]: simplifying candidates 6.076 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 6.076 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))))))> 6.077 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))> 6.077 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 6.077 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 6.078 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))> 6.079 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (fma N N N))))))))> 6.079 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 6.079 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 6.080 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 6.080 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 6.080 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 6.080 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 6.080 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 6.080 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 6.080 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 6.081 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (log1p (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (+ 1 1) (+ (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N)))))) (log (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (exp (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (* (sqrt (atan2 1 (+ 1 (fma N N 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(sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* 1 1) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) 1) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) 6.082 * * [simplify]: iteration 1: (68 enodes) 6.096 * * [simplify]: iteration 2: (118 enodes) 6.121 * * [simplify]: iteration 3: (231 enodes) 6.165 * * [simplify]: iteration 4: (397 enodes) 6.294 * * [simplify]: iteration 5: (731 enodes) 6.890 * * [simplify]: Extracting #0: cost 30 inf + 0 6.891 * * [simplify]: Extracting #1: cost 216 inf + 3 6.893 * * [simplify]: Extracting #2: cost 440 inf + 11 6.896 * * [simplify]: Extracting #3: cost 418 inf + 7867 6.910 * * [simplify]: Extracting #4: cost 269 inf + 85909 6.948 * * [simplify]: Extracting #5: cost 43 inf + 228758 6.997 * * [simplify]: Extracting #6: cost 3 inf + 258721 7.045 * * [simplify]: Extracting #7: cost 0 inf + 261175 7.094 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) 1 (sqrt (atan2 1 (+ 1 (fma N N N)))) 1/2 (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) 1 (sqrt (atan2 1 (+ 1 (fma N N N)))) 1/2 (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 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(cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) 1 (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) 1 (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) 1 2 1 (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (atan2 1 (+ 1 (fma N N N))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (atan2 1 (+ 1 (fma N N N))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) 7.098 * * * [progress]: adding candidates to table 7.747 * * [progress]: iteration 4 / 4 7.747 * * * [progress]: picking best candidate 7.765 * * * * [pick]: Picked # 7.765 * * * [progress]: localizing error 7.787 * * * [progress]: generating rewritten candidates 7.787 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 7.788 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 7.789 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.790 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.823 * * * [progress]: generating series expansions 7.824 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 7.824 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.824 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 7.824 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.824 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.824 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.824 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.824 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.824 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.824 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.824 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.824 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.824 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.825 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.826 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.826 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.827 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.827 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.828 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.828 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 7.828 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.828 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.828 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.828 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.828 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.828 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.828 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.828 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.829 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.832 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.832 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 7.832 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.832 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.832 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.832 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.833 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.833 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.833 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.833 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.833 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.833 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.834 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.835 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.837 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 7.837 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.837 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 7.837 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.837 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.837 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.837 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.837 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.837 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.837 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.837 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.837 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.837 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.838 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.839 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.840 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.840 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 7.840 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.841 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.841 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.841 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.841 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.841 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.841 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.841 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.841 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.841 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.842 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.845 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.845 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 7.845 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.845 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.845 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.846 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.846 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.846 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.846 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.846 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.846 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.846 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.847 * [backup-simplify]: Simplify 0 into 0 7.848 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.848 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.849 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.850 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.850 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.850 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 7.850 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.850 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.850 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.850 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.850 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.850 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.850 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.850 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.850 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.850 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.851 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.851 * [backup-simplify]: Simplify 0 into 0 7.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.852 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.853 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.853 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 7.853 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.853 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.854 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.854 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.854 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.854 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.854 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.855 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.856 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.858 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 7.858 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.858 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.858 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.858 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.858 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.858 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.858 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.860 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.861 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.862 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.862 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) into (atan2 1 (+ (fma N N N) 1)) 7.862 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 7.862 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.862 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.862 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.862 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.862 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.863 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))))))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.863 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 7.863 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.863 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.863 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.863 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.863 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.864 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.864 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 7.864 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.864 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.864 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.864 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.864 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.864 * * * [progress]: simplifying candidates 7.864 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 7.864 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 7.864 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 11 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 16 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))))))))> 7.865 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 28 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 29 / 109 ] simplifiying candidate # 7.865 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 32 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))> 7.866 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 41 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 48 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))> 7.866 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 7.866 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 56 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 59 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 75 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 81 / 109 ] simplifiying candidate # 7.867 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 84 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 96 / 109 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))))> 7.868 * * * * [progress]: [ 97 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 7.868 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 7.869 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (log1p (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (+ 1/2 (+ (/ 1/2 2) (/ 1/2 2))) (+ 1/2 (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ 1/2 (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ 1/2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ 1/2 (* 2 (/ 1/2 2))) (+ 1/2 (* 2 (/ (/ 1 2) 2))) (+ 1 (+ 1/2 1/2)) (+ 1 (+ 1/2 (/ 1 2))) (+ 1 (+ (/ 1 2) 1/2)) (+ 1 (+ (/ 1 2) (/ 1 2))) (+ 1 (* 2 1/2)) (+ 1 (* 2 (/ 1 2))) (+ (/ 1 2) (+ (/ 1/2 2) (/ 1/2 2))) (+ (/ 1 2) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (/ 1 2) (* 2 (/ 1/2 2))) (+ (/ 1 2) (* 2 (/ (/ 1 2) 2))) (* (atan2 1 (+ 1 (fma N N N))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (atan2 1 (+ 1 (fma N N N))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (+ (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (+ (log (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (+ (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (log (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (exp (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (* (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (* (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (* (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (* (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (* (atan2 1 (+ 1 (fma N N N))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (sqrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (real->posit16 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) 7.871 * * [simplify]: iteration 1: (87 enodes) 7.896 * * [simplify]: iteration 2: (172 enodes) 7.915 * * [simplify]: iteration 3: (260 enodes) 7.955 * * [simplify]: iteration 4: (382 enodes) 8.076 * * [simplify]: iteration 5: (876 enodes) 8.612 * * [simplify]: Extracting #0: cost 28 inf + 0 8.612 * * [simplify]: Extracting #1: cost 180 inf + 3 8.614 * * [simplify]: Extracting #2: cost 388 inf + 8 8.620 * * [simplify]: Extracting #3: cost 361 inf + 7572 8.626 * * [simplify]: Extracting #4: cost 290 inf + 40611 8.653 * * [simplify]: Extracting #5: cost 67 inf + 196379 8.697 * * [simplify]: Extracting #6: cost 0 inf + 251329 8.990 * * [simplify]: Extracting #7: cost 0 inf + 251209 9.034 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) 1 (sqrt (atan2 1 (+ 1 (fma N N N)))) 1/2 (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) 1 (sqrt (atan2 1 (+ 1 (fma N N N)))) 1/2 (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) 1 (sqrt (atan2 1 (+ 1 (fma N N N)))) 1/2 (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (atan2 1 (+ 1 (fma N N N))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (atan2 1 (+ 1 (fma N N N))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) 9.039 * * * [progress]: adding candidates to table 9.781 * [progress]: [Phase 3 of 3] Extracting. 9.781 * * [regime]: Finding splitpoints for: (# # # # # # #) 9.782 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.782 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 9.819 * * * [regime]: Found split indices: #