97.301 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.037 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.037 * * [simplify]: iteration 1: (6 enodes) 0.038 * * [simplify]: iteration 2: (9 enodes) 0.040 * * [simplify]: iteration 3: (10 enodes) 0.041 * * [simplify]: Extracting #0: cost 1 inf + 0 0.041 * * [simplify]: Extracting #1: cost 4 inf + 0 0.041 * * [simplify]: Extracting #2: cost 6 inf + 0 0.041 * * [simplify]: Extracting #3: cost 6 inf + 1 0.041 * * [simplify]: Extracting #4: cost 0 inf + 735 0.041 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.072 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.072 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.072 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.072 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.072 * [taylor]: Taking taylor expansion of (atan N) in N 0.072 * [backup-simplify]: Simplify (atan N) into (atan N) 0.072 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.072 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.072 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.072 * [taylor]: Taking taylor expansion of (atan N) in N 0.072 * [backup-simplify]: Simplify (atan N) into (atan N) 0.073 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.073 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.073 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.077 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.077 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.077 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.077 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.077 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.077 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.077 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.077 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.077 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.077 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.077 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.078 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.081 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.081 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.081 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.081 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.081 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.081 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.081 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.081 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.081 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.081 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.081 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.081 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.081 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.082 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.082 * [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 (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.085 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.085 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.085 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.085 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.085 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.085 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.085 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.085 * [backup-simplify]: Simplify 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 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.085 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.085 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.085 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.085 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.086 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.086 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.086 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.086 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.086 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.086 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.086 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.086 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.086 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.086 * * * [progress]: simplifying candidates 0.086 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 0.086 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 17 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 0.087 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 22 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.088 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 0.088 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 0.089 * * * * [progress]: [ 39 / 46 ] simplifiying candidate # 0.089 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.089 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 0.089 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 0.089 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 0.089 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 0.089 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 0.089 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 0.090 * [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)) 0.091 * * [simplify]: iteration 1: (67 enodes) 0.117 * * [simplify]: iteration 2: (138 enodes) 0.165 * * [simplify]: iteration 3: (286 enodes) 0.378 * * [simplify]: iteration 4: (752 enodes) 1.261 * * [simplify]: Extracting #0: cost 30 inf + 0 1.262 * * [simplify]: Extracting #1: cost 167 inf + 2 1.265 * * [simplify]: Extracting #2: cost 380 inf + 832 1.273 * * [simplify]: Extracting #3: cost 344 inf + 34781 1.293 * * [simplify]: Extracting #4: cost 82 inf + 141622 1.313 * * [simplify]: Extracting #5: cost 2 inf + 185703 1.343 * * [simplify]: Extracting #6: cost 0 inf + 186803 1.371 * [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 (fma N (+ 1 N) 1) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (* (* (atan N) (atan N)) (atan N))) (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (- (atan N)) (* (- (atan (+ 1 N)) (atan N)) (+ (atan (+ 1 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)) 1.373 * * * [progress]: adding candidates to table 1.729 * * [progress]: iteration 2 / 4 1.730 * * * [progress]: picking best candidate 1.732 * * * * [pick]: Picked # 1.732 * * * [progress]: localizing error 1.742 * * * [progress]: generating rewritten candidates 1.742 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.742 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.743 * * * [progress]: generating series expansions 1.743 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.743 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.743 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 1.743 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.743 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.743 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.743 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.743 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.743 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.743 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 1.744 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.744 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.744 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.744 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.744 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.744 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.744 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 1.744 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.744 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.744 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.744 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.744 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.745 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.745 * [backup-simplify]: Simplify (fma N (+ 1 N) 1) into (fma N (+ N 1) 1) 1.745 * [approximate]: Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0 1.745 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 1.745 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 1.745 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 1.745 * [taylor]: Taking taylor expansion of N in N 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.745 * [taylor]: Taking taylor expansion of N in N 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of 1 in N 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of 1 in N 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 1.745 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 1.745 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 1.745 * [taylor]: Taking taylor expansion of N in N 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.745 * [taylor]: Taking taylor expansion of N in N 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of 1 in N 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of 1 in N 1.745 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (+ 0 1) into 1 1.746 * [backup-simplify]: Simplify (* 0 1) into 0 1.747 * [backup-simplify]: Simplify (+ 0 1) into 1 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (+ 1 0) into 1 1.747 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.748 * [backup-simplify]: Simplify (+ 1 0) into 1 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (+ 0 0) into 0 1.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.749 * [backup-simplify]: Simplify (+ 1 0) into 1 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 1.749 * [backup-simplify]: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1.749 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0 1.749 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 1.749 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 1.749 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 1.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.749 * [taylor]: Taking taylor expansion of N in N 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (/ 1 1) into 1 1.749 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.749 * [taylor]: Taking taylor expansion of N in N 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ 1 1) into 1 1.750 * [taylor]: Taking taylor expansion of 1 in N 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [taylor]: Taking taylor expansion of 1 in N 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 1.750 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 1.750 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 1.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.750 * [taylor]: Taking taylor expansion of N in N 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ 1 1) into 1 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.750 * [taylor]: Taking taylor expansion of N in N 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [taylor]: Taking taylor expansion of 1 in N 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [taylor]: Taking taylor expansion of 1 in N 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (+ 1 0) into 1 1.751 * [backup-simplify]: Simplify (* 1 1) into 1 1.752 * [backup-simplify]: Simplify (+ 1 0) into 1 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ 0 1) into 1 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 1.754 * [backup-simplify]: Simplify (+ 1 0) into 1 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 1.756 * [backup-simplify]: Simplify (+ 0 1) into 1 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 1.756 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1.756 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in (N) around 0 1.756 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 1.756 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 1.756 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 1.756 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.756 * [taylor]: Taking taylor expansion of -1 in N 1.756 * [backup-simplify]: Simplify -1 into -1 1.756 * [taylor]: Taking taylor expansion of N in N 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (/ -1 1) into -1 1.756 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.757 * [taylor]: Taking taylor expansion of 1 in N 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.757 * [taylor]: Taking taylor expansion of N in N 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (/ 1 1) into 1 1.757 * [taylor]: Taking taylor expansion of 1 in N 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 1.757 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 1.757 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 1.757 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.757 * [taylor]: Taking taylor expansion of -1 in N 1.757 * [backup-simplify]: Simplify -1 into -1 1.757 * [taylor]: Taking taylor expansion of N in N 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (/ -1 1) into -1 1.761 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.761 * [taylor]: Taking taylor expansion of 1 in N 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.761 * [taylor]: Taking taylor expansion of N in N 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (/ 1 1) into 1 1.762 * [taylor]: Taking taylor expansion of 1 in N 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (- 1) into -1 1.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.763 * [backup-simplify]: Simplify (* -1 -1) into 1 1.764 * [backup-simplify]: Simplify (+ 1 0) into 1 1.764 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (- 0) into 0 1.766 * [backup-simplify]: Simplify (+ 1 0) into 1 1.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.768 * [backup-simplify]: Simplify (+ -1 0) into -1 1.768 * [backup-simplify]: Simplify -1 into -1 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.772 * [backup-simplify]: Simplify (+ 0 1) into 1 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 1.772 * * * [progress]: simplifying candidates 1.772 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 1.772 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 1.772 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 10 / 27 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))> 1.773 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 1.773 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 1.774 * * * * [progress]: [ 21 / 27 ] simplifiying candidate #real (real->posit16 (fma N (+ 1 N) 1)))))> 1.774 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 1.774 * * * * [progress]: [ 23 / 27 ] simplifiying candidate # 1.774 * * * * [progress]: [ 24 / 27 ] simplifiying candidate # 1.774 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 1.774 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 1.774 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 1.775 * [simplify]: Simplifying: (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (expm1 (fma N (+ 1 N) 1)) (log1p (fma N (+ 1 N) 1)) (* N (+ 1 N)) (log (fma N (+ 1 N) 1)) (exp (fma N (+ 1 N) 1)) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)) (* (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1)) (real->posit16 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) 1.775 * * [simplify]: iteration 1: (33 enodes) 1.788 * * [simplify]: iteration 2: (51 enodes) 1.800 * * [simplify]: iteration 3: (83 enodes) 1.819 * * [simplify]: iteration 4: (225 enodes) 2.121 * * [simplify]: iteration 5: (886 enodes) 7.004 * * [simplify]: Extracting #0: cost 21 inf + 0 7.006 * * [simplify]: Extracting #1: cost 242 inf + 0 7.016 * * [simplify]: Extracting #2: cost 843 inf + 8102 7.047 * * [simplify]: Extracting #3: cost 363 inf + 120091 7.117 * * [simplify]: Extracting #4: cost 10 inf + 202329 7.203 * * [simplify]: Extracting #5: cost 0 inf + 202287 7.290 * * [simplify]: Extracting #6: cost 0 inf + 202087 7.350 * [simplify]: Simplified to: (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (expm1 (fma N (+ N 1) 1)) (log1p (fma N (+ N 1) 1)) (fma N N N) (log1p (fma N N N)) (exp (fma N (+ N 1) 1)) (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)) (* (fma N (+ N 1) 1) (* (fma N (+ N 1) 1) (fma N (+ N 1) 1))) (sqrt (fma N (+ N 1) 1)) (sqrt (fma N (+ N 1) 1)) (real->posit16 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (fma N (+ N 1) 1) (fma N (+ N 1) 1) (fma N (+ N 1) 1) 7.351 * * * [progress]: adding candidates to table 7.533 * * [progress]: iteration 3 / 4 7.533 * * * [progress]: picking best candidate 7.553 * * * * [pick]: Picked # 7.553 * * * [progress]: localizing error 7.588 * * * [progress]: generating rewritten candidates 7.588 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.589 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 7.590 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 7.591 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.600 * * * [progress]: generating series expansions 7.600 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.600 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3) 7.600 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 7.601 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 7.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 7.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 7.601 * [taylor]: Taking taylor expansion of 1/3 in N 7.601 * [backup-simplify]: Simplify 1/3 into 1/3 7.601 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 7.601 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 7.601 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 7.601 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 7.601 * [taylor]: Taking taylor expansion of N in N 7.601 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify 1 into 1 7.601 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.601 * [taylor]: Taking taylor expansion of N in N 7.601 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify 1 into 1 7.601 * [taylor]: Taking taylor expansion of 1 in N 7.601 * [backup-simplify]: Simplify 1 into 1 7.601 * [taylor]: Taking taylor expansion of 1 in N 7.601 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (+ 0 1) into 1 7.602 * [backup-simplify]: Simplify (* 0 1) into 0 7.602 * [backup-simplify]: Simplify (+ 0 1) into 1 7.602 * [backup-simplify]: Simplify (log 1) into 0 7.602 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.603 * [backup-simplify]: Simplify (+ 1 0) into 1 7.603 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.603 * [backup-simplify]: Simplify (+ 1 0) into 1 7.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.604 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.605 * [backup-simplify]: Simplify (exp 0) into 1 7.605 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 7.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 7.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 7.605 * [taylor]: Taking taylor expansion of 1/3 in N 7.605 * [backup-simplify]: Simplify 1/3 into 1/3 7.605 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 7.605 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 7.605 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 7.605 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 7.605 * [taylor]: Taking taylor expansion of N in N 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 1 into 1 7.605 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.605 * [taylor]: Taking taylor expansion of N in N 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 1 into 1 7.605 * [taylor]: Taking taylor expansion of 1 in N 7.605 * [backup-simplify]: Simplify 1 into 1 7.605 * [taylor]: Taking taylor expansion of 1 in N 7.605 * [backup-simplify]: Simplify 1 into 1 7.605 * [backup-simplify]: Simplify (+ 0 1) into 1 7.605 * [backup-simplify]: Simplify (* 0 1) into 0 7.606 * [backup-simplify]: Simplify (+ 0 1) into 1 7.606 * [backup-simplify]: Simplify (log 1) into 0 7.606 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.606 * [backup-simplify]: Simplify (+ 1 0) into 1 7.607 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.607 * [backup-simplify]: Simplify (+ 1 0) into 1 7.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.608 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.608 * [backup-simplify]: Simplify (exp 0) into 1 7.608 * [backup-simplify]: Simplify 1 into 1 7.609 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 7.609 * [backup-simplify]: Simplify 1/3 into 1/3 7.609 * [backup-simplify]: Simplify (+ 0 0) into 0 7.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.610 * [backup-simplify]: Simplify (+ 1 0) into 1 7.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 7.613 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 7.615 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 7.615 * [backup-simplify]: Simplify 2/9 into 2/9 7.616 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 7.616 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 7.616 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 7.616 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 7.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 7.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.616 * [taylor]: Taking taylor expansion of 1/3 in N 7.616 * [backup-simplify]: Simplify 1/3 into 1/3 7.616 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.616 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 7.616 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 7.616 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 7.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.616 * [taylor]: Taking taylor expansion of N in N 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify 1 into 1 7.617 * [backup-simplify]: Simplify (/ 1 1) into 1 7.617 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.617 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.617 * [taylor]: Taking taylor expansion of N in N 7.617 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify 1 into 1 7.617 * [backup-simplify]: Simplify (/ 1 1) into 1 7.617 * [taylor]: Taking taylor expansion of 1 in N 7.617 * [backup-simplify]: Simplify 1 into 1 7.617 * [taylor]: Taking taylor expansion of 1 in N 7.617 * [backup-simplify]: Simplify 1 into 1 7.618 * [backup-simplify]: Simplify (+ 1 0) into 1 7.618 * [backup-simplify]: Simplify (* 1 1) into 1 7.618 * [backup-simplify]: Simplify (+ 1 0) into 1 7.619 * [backup-simplify]: Simplify (log 1) into 0 7.619 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.619 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.619 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.620 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 7.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 7.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.620 * [taylor]: Taking taylor expansion of 1/3 in N 7.620 * [backup-simplify]: Simplify 1/3 into 1/3 7.620 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.620 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 7.620 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 7.620 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 7.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.620 * [taylor]: Taking taylor expansion of N in N 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [backup-simplify]: Simplify (/ 1 1) into 1 7.620 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.620 * [taylor]: Taking taylor expansion of N in N 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (/ 1 1) into 1 7.621 * [taylor]: Taking taylor expansion of 1 in N 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [taylor]: Taking taylor expansion of 1 in N 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (+ 1 0) into 1 7.622 * [backup-simplify]: Simplify (* 1 1) into 1 7.622 * [backup-simplify]: Simplify (+ 1 0) into 1 7.623 * [backup-simplify]: Simplify (log 1) into 0 7.623 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.623 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.623 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.623 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.625 * [backup-simplify]: Simplify (+ 0 1) into 1 7.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.626 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 7.627 * [backup-simplify]: Simplify (+ 1 0) into 1 7.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.628 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.629 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 7.630 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.630 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.631 * [backup-simplify]: Simplify (+ 0 0) into 0 7.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 7.633 * [backup-simplify]: Simplify (+ 0 1) into 1 7.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 7.636 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.637 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 7.639 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.639 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.640 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 7.640 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 7.640 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 7.640 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 7.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 7.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.640 * [taylor]: Taking taylor expansion of 1/3 in N 7.640 * [backup-simplify]: Simplify 1/3 into 1/3 7.640 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.640 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 7.641 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 7.641 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 7.641 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.641 * [taylor]: Taking taylor expansion of -1 in N 7.641 * [backup-simplify]: Simplify -1 into -1 7.641 * [taylor]: Taking taylor expansion of N in N 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 1 into 1 7.641 * [backup-simplify]: Simplify (/ -1 1) into -1 7.641 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.641 * [taylor]: Taking taylor expansion of 1 in N 7.641 * [backup-simplify]: Simplify 1 into 1 7.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.641 * [taylor]: Taking taylor expansion of N in N 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 1 into 1 7.642 * [backup-simplify]: Simplify (/ 1 1) into 1 7.642 * [taylor]: Taking taylor expansion of 1 in N 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [backup-simplify]: Simplify (- 1) into -1 7.643 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.643 * [backup-simplify]: Simplify (* -1 -1) into 1 7.643 * [backup-simplify]: Simplify (+ 1 0) into 1 7.644 * [backup-simplify]: Simplify (log 1) into 0 7.644 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.644 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.645 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.645 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 7.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 7.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.645 * [taylor]: Taking taylor expansion of 1/3 in N 7.645 * [backup-simplify]: Simplify 1/3 into 1/3 7.645 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.645 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 7.645 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 7.645 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 7.645 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.645 * [taylor]: Taking taylor expansion of -1 in N 7.645 * [backup-simplify]: Simplify -1 into -1 7.645 * [taylor]: Taking taylor expansion of N in N 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 1 into 1 7.645 * [backup-simplify]: Simplify (/ -1 1) into -1 7.645 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.646 * [taylor]: Taking taylor expansion of 1 in N 7.646 * [backup-simplify]: Simplify 1 into 1 7.646 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.646 * [taylor]: Taking taylor expansion of N in N 7.646 * [backup-simplify]: Simplify 0 into 0 7.646 * [backup-simplify]: Simplify 1 into 1 7.646 * [backup-simplify]: Simplify (/ 1 1) into 1 7.646 * [taylor]: Taking taylor expansion of 1 in N 7.646 * [backup-simplify]: Simplify 1 into 1 7.646 * [backup-simplify]: Simplify (- 1) into -1 7.647 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.647 * [backup-simplify]: Simplify (* -1 -1) into 1 7.648 * [backup-simplify]: Simplify (+ 1 0) into 1 7.648 * [backup-simplify]: Simplify (log 1) into 0 7.649 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.649 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.649 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.649 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.650 * [backup-simplify]: Simplify (- 0) into 0 7.650 * [backup-simplify]: Simplify (+ 1 0) into 1 7.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.652 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 7.652 * [backup-simplify]: Simplify (+ -1 0) into -1 7.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 7.654 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.655 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 7.656 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.656 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.657 * [backup-simplify]: Simplify (- 0) into 0 7.657 * [backup-simplify]: Simplify (+ 0 0) into 0 7.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.659 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 7.660 * [backup-simplify]: Simplify (+ 0 1) into 1 7.663 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 7.663 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.664 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 7.666 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.666 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.667 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 7.667 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 7.667 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3) 7.667 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 7.667 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 7.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 7.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 7.667 * [taylor]: Taking taylor expansion of 1/3 in N 7.667 * [backup-simplify]: Simplify 1/3 into 1/3 7.667 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 7.667 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 7.667 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 7.667 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 7.667 * [taylor]: Taking taylor expansion of N in N 7.667 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify 1 into 1 7.667 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.667 * [taylor]: Taking taylor expansion of N in N 7.668 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify 1 into 1 7.668 * [taylor]: Taking taylor expansion of 1 in N 7.668 * [backup-simplify]: Simplify 1 into 1 7.668 * [taylor]: Taking taylor expansion of 1 in N 7.668 * [backup-simplify]: Simplify 1 into 1 7.672 * [backup-simplify]: Simplify (+ 0 1) into 1 7.672 * [backup-simplify]: Simplify (* 0 1) into 0 7.673 * [backup-simplify]: Simplify (+ 0 1) into 1 7.673 * [backup-simplify]: Simplify (log 1) into 0 7.673 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.673 * [backup-simplify]: Simplify (+ 1 0) into 1 7.674 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.674 * [backup-simplify]: Simplify (+ 1 0) into 1 7.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.675 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.675 * [backup-simplify]: Simplify (exp 0) into 1 7.675 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 7.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 7.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 7.675 * [taylor]: Taking taylor expansion of 1/3 in N 7.675 * [backup-simplify]: Simplify 1/3 into 1/3 7.675 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 7.675 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 7.676 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 7.676 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 7.676 * [taylor]: Taking taylor expansion of N in N 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 1 into 1 7.676 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.676 * [taylor]: Taking taylor expansion of N in N 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 1 into 1 7.676 * [taylor]: Taking taylor expansion of 1 in N 7.676 * [backup-simplify]: Simplify 1 into 1 7.676 * [taylor]: Taking taylor expansion of 1 in N 7.676 * [backup-simplify]: Simplify 1 into 1 7.676 * [backup-simplify]: Simplify (+ 0 1) into 1 7.676 * [backup-simplify]: Simplify (* 0 1) into 0 7.677 * [backup-simplify]: Simplify (+ 0 1) into 1 7.677 * [backup-simplify]: Simplify (log 1) into 0 7.677 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.677 * [backup-simplify]: Simplify (+ 1 0) into 1 7.678 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.678 * [backup-simplify]: Simplify (+ 1 0) into 1 7.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.679 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.679 * [backup-simplify]: Simplify (exp 0) into 1 7.679 * [backup-simplify]: Simplify 1 into 1 7.680 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 7.680 * [backup-simplify]: Simplify 1/3 into 1/3 7.680 * [backup-simplify]: Simplify (+ 0 0) into 0 7.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.681 * [backup-simplify]: Simplify (+ 1 0) into 1 7.683 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 7.683 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 7.684 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 7.684 * [backup-simplify]: Simplify 2/9 into 2/9 7.684 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 7.685 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 7.685 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 7.685 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 7.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 7.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.685 * [taylor]: Taking taylor expansion of 1/3 in N 7.685 * [backup-simplify]: Simplify 1/3 into 1/3 7.685 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.685 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 7.685 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 7.685 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 7.685 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.685 * [taylor]: Taking taylor expansion of N in N 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (/ 1 1) into 1 7.685 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.685 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.685 * [taylor]: Taking taylor expansion of N in N 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (/ 1 1) into 1 7.685 * [taylor]: Taking taylor expansion of 1 in N 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [taylor]: Taking taylor expansion of 1 in N 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [backup-simplify]: Simplify (+ 1 0) into 1 7.686 * [backup-simplify]: Simplify (* 1 1) into 1 7.686 * [backup-simplify]: Simplify (+ 1 0) into 1 7.687 * [backup-simplify]: Simplify (log 1) into 0 7.687 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.687 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.687 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.687 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 7.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 7.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.687 * [taylor]: Taking taylor expansion of 1/3 in N 7.687 * [backup-simplify]: Simplify 1/3 into 1/3 7.687 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.687 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 7.687 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 7.687 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 7.687 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.687 * [taylor]: Taking taylor expansion of N in N 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (/ 1 1) into 1 7.687 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.687 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.687 * [taylor]: Taking taylor expansion of N in N 7.687 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify 1 into 1 7.688 * [backup-simplify]: Simplify (/ 1 1) into 1 7.688 * [taylor]: Taking taylor expansion of 1 in N 7.688 * [backup-simplify]: Simplify 1 into 1 7.688 * [taylor]: Taking taylor expansion of 1 in N 7.688 * [backup-simplify]: Simplify 1 into 1 7.688 * [backup-simplify]: Simplify (+ 1 0) into 1 7.688 * [backup-simplify]: Simplify (* 1 1) into 1 7.689 * [backup-simplify]: Simplify (+ 1 0) into 1 7.689 * [backup-simplify]: Simplify (log 1) into 0 7.689 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.689 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.689 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.689 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.690 * [backup-simplify]: Simplify (+ 0 1) into 1 7.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.691 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 7.691 * [backup-simplify]: Simplify (+ 1 0) into 1 7.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.692 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.693 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 7.693 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.693 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.694 * [backup-simplify]: Simplify (+ 0 0) into 0 7.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 7.695 * [backup-simplify]: Simplify (+ 0 1) into 1 7.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 7.697 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.698 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 7.699 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.699 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.699 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 7.699 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 7.699 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 7.699 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 7.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 7.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.699 * [taylor]: Taking taylor expansion of 1/3 in N 7.699 * [backup-simplify]: Simplify 1/3 into 1/3 7.699 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.699 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 7.699 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 7.699 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 7.699 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.699 * [taylor]: Taking taylor expansion of -1 in N 7.699 * [backup-simplify]: Simplify -1 into -1 7.699 * [taylor]: Taking taylor expansion of N in N 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (/ -1 1) into -1 7.700 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.700 * [taylor]: Taking taylor expansion of 1 in N 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.700 * [taylor]: Taking taylor expansion of N in N 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.700 * [taylor]: Taking taylor expansion of 1 in N 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (- 1) into -1 7.701 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.701 * [backup-simplify]: Simplify (* -1 -1) into 1 7.701 * [backup-simplify]: Simplify (+ 1 0) into 1 7.701 * [backup-simplify]: Simplify (log 1) into 0 7.702 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.702 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.702 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.702 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 7.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 7.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.702 * [taylor]: Taking taylor expansion of 1/3 in N 7.702 * [backup-simplify]: Simplify 1/3 into 1/3 7.702 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.702 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 7.702 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 7.702 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 7.702 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.702 * [taylor]: Taking taylor expansion of -1 in N 7.702 * [backup-simplify]: Simplify -1 into -1 7.702 * [taylor]: Taking taylor expansion of N in N 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [backup-simplify]: Simplify (/ -1 1) into -1 7.702 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.702 * [taylor]: Taking taylor expansion of 1 in N 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.702 * [taylor]: Taking taylor expansion of N in N 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify (/ 1 1) into 1 7.703 * [taylor]: Taking taylor expansion of 1 in N 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify (- 1) into -1 7.703 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.703 * [backup-simplify]: Simplify (* -1 -1) into 1 7.704 * [backup-simplify]: Simplify (+ 1 0) into 1 7.704 * [backup-simplify]: Simplify (log 1) into 0 7.704 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.704 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.704 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.704 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.705 * [backup-simplify]: Simplify (- 0) into 0 7.705 * [backup-simplify]: Simplify (+ 1 0) into 1 7.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 7.707 * [backup-simplify]: Simplify (+ -1 0) into -1 7.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 7.708 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.708 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 7.709 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.709 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.709 * [backup-simplify]: Simplify (- 0) into 0 7.710 * [backup-simplify]: Simplify (+ 0 0) into 0 7.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.711 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 7.711 * [backup-simplify]: Simplify (+ 0 1) into 1 7.712 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 7.713 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.713 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 7.714 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.714 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.715 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 7.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 7.715 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3) 7.715 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 7.715 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 7.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 7.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 7.715 * [taylor]: Taking taylor expansion of 1/3 in N 7.715 * [backup-simplify]: Simplify 1/3 into 1/3 7.715 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 7.715 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 7.715 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 7.715 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 7.715 * [taylor]: Taking taylor expansion of N in N 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 1 into 1 7.715 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.715 * [taylor]: Taking taylor expansion of N in N 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 1 into 1 7.715 * [taylor]: Taking taylor expansion of 1 in N 7.715 * [backup-simplify]: Simplify 1 into 1 7.715 * [taylor]: Taking taylor expansion of 1 in N 7.715 * [backup-simplify]: Simplify 1 into 1 7.716 * [backup-simplify]: Simplify (+ 0 1) into 1 7.716 * [backup-simplify]: Simplify (* 0 1) into 0 7.716 * [backup-simplify]: Simplify (+ 0 1) into 1 7.716 * [backup-simplify]: Simplify (log 1) into 0 7.717 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.717 * [backup-simplify]: Simplify (+ 1 0) into 1 7.717 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.718 * [backup-simplify]: Simplify (+ 1 0) into 1 7.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.719 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.719 * [backup-simplify]: Simplify (exp 0) into 1 7.719 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 7.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 7.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 7.719 * [taylor]: Taking taylor expansion of 1/3 in N 7.719 * [backup-simplify]: Simplify 1/3 into 1/3 7.719 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 7.719 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 7.719 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 7.719 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 7.719 * [taylor]: Taking taylor expansion of N in N 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.719 * [taylor]: Taking taylor expansion of N in N 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [taylor]: Taking taylor expansion of 1 in N 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [taylor]: Taking taylor expansion of 1 in N 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [backup-simplify]: Simplify (+ 0 1) into 1 7.720 * [backup-simplify]: Simplify (* 0 1) into 0 7.720 * [backup-simplify]: Simplify (+ 0 1) into 1 7.720 * [backup-simplify]: Simplify (log 1) into 0 7.720 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.721 * [backup-simplify]: Simplify (+ 1 0) into 1 7.721 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.721 * [backup-simplify]: Simplify (+ 1 0) into 1 7.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.722 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.722 * [backup-simplify]: Simplify (exp 0) into 1 7.723 * [backup-simplify]: Simplify 1 into 1 7.723 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 7.723 * [backup-simplify]: Simplify 1/3 into 1/3 7.724 * [backup-simplify]: Simplify (+ 0 0) into 0 7.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.724 * [backup-simplify]: Simplify (+ 1 0) into 1 7.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 7.726 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 7.727 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 7.727 * [backup-simplify]: Simplify 2/9 into 2/9 7.728 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 7.728 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 7.728 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 7.728 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 7.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 7.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.728 * [taylor]: Taking taylor expansion of 1/3 in N 7.728 * [backup-simplify]: Simplify 1/3 into 1/3 7.728 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.728 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 7.728 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 7.728 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 7.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.728 * [taylor]: Taking taylor expansion of N in N 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ 1 1) into 1 7.728 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.728 * [taylor]: Taking taylor expansion of N in N 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (/ 1 1) into 1 7.729 * [taylor]: Taking taylor expansion of 1 in N 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [taylor]: Taking taylor expansion of 1 in N 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (+ 1 0) into 1 7.729 * [backup-simplify]: Simplify (* 1 1) into 1 7.729 * [backup-simplify]: Simplify (+ 1 0) into 1 7.730 * [backup-simplify]: Simplify (log 1) into 0 7.730 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.730 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.730 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.730 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 7.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 7.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.730 * [taylor]: Taking taylor expansion of 1/3 in N 7.730 * [backup-simplify]: Simplify 1/3 into 1/3 7.730 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.730 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 7.730 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 7.730 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 7.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.730 * [taylor]: Taking taylor expansion of N in N 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (/ 1 1) into 1 7.731 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.731 * [taylor]: Taking taylor expansion of N in N 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (/ 1 1) into 1 7.731 * [taylor]: Taking taylor expansion of 1 in N 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [taylor]: Taking taylor expansion of 1 in N 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (+ 1 0) into 1 7.732 * [backup-simplify]: Simplify (* 1 1) into 1 7.732 * [backup-simplify]: Simplify (+ 1 0) into 1 7.732 * [backup-simplify]: Simplify (log 1) into 0 7.732 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.732 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.732 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.733 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify (+ 0 1) into 1 7.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.734 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 7.734 * [backup-simplify]: Simplify (+ 1 0) into 1 7.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.737 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.737 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 7.738 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.738 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.740 * [backup-simplify]: Simplify (+ 0 0) into 0 7.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 7.742 * [backup-simplify]: Simplify (+ 0 1) into 1 7.744 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 7.744 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.745 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 7.746 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.746 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.746 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 7.746 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 7.746 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 7.746 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 7.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 7.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.747 * [taylor]: Taking taylor expansion of 1/3 in N 7.747 * [backup-simplify]: Simplify 1/3 into 1/3 7.747 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.747 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 7.747 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 7.747 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 7.747 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.747 * [taylor]: Taking taylor expansion of -1 in N 7.747 * [backup-simplify]: Simplify -1 into -1 7.747 * [taylor]: Taking taylor expansion of N in N 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.747 * [backup-simplify]: Simplify (/ -1 1) into -1 7.747 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.747 * [taylor]: Taking taylor expansion of 1 in N 7.747 * [backup-simplify]: Simplify 1 into 1 7.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.747 * [taylor]: Taking taylor expansion of N in N 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.747 * [backup-simplify]: Simplify (/ 1 1) into 1 7.747 * [taylor]: Taking taylor expansion of 1 in N 7.747 * [backup-simplify]: Simplify 1 into 1 7.748 * [backup-simplify]: Simplify (- 1) into -1 7.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.748 * [backup-simplify]: Simplify (* -1 -1) into 1 7.748 * [backup-simplify]: Simplify (+ 1 0) into 1 7.749 * [backup-simplify]: Simplify (log 1) into 0 7.749 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.749 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.749 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.749 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 7.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 7.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.749 * [taylor]: Taking taylor expansion of 1/3 in N 7.749 * [backup-simplify]: Simplify 1/3 into 1/3 7.749 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.749 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 7.749 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 7.749 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 7.749 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.749 * [taylor]: Taking taylor expansion of -1 in N 7.749 * [backup-simplify]: Simplify -1 into -1 7.749 * [taylor]: Taking taylor expansion of N in N 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 1 into 1 7.750 * [backup-simplify]: Simplify (/ -1 1) into -1 7.750 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.750 * [taylor]: Taking taylor expansion of 1 in N 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.750 * [taylor]: Taking taylor expansion of N in N 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [backup-simplify]: Simplify (/ 1 1) into 1 7.750 * [taylor]: Taking taylor expansion of 1 in N 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [backup-simplify]: Simplify (- 1) into -1 7.751 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.751 * [backup-simplify]: Simplify (* -1 -1) into 1 7.751 * [backup-simplify]: Simplify (+ 1 0) into 1 7.751 * [backup-simplify]: Simplify (log 1) into 0 7.752 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.752 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.752 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.752 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.753 * [backup-simplify]: Simplify (- 0) into 0 7.753 * [backup-simplify]: Simplify (+ 1 0) into 1 7.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.754 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 7.754 * [backup-simplify]: Simplify (+ -1 0) into -1 7.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 7.755 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.756 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 7.756 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.756 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.757 * [backup-simplify]: Simplify (- 0) into 0 7.757 * [backup-simplify]: Simplify (+ 0 0) into 0 7.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.758 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 7.759 * [backup-simplify]: Simplify (+ 0 1) into 1 7.760 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 7.760 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.761 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 7.764 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.764 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 7.764 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 7.764 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.764 * [backup-simplify]: Simplify (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) into (pow (pow (fma N (+ N 1) 1) 2) 1/3) 7.764 * [approximate]: Taking taylor expansion of (pow (pow (fma N (+ N 1) 1) 2) 1/3) in (N) around 0 7.764 * [taylor]: Taking taylor expansion of (pow (pow (fma N (+ N 1) 1) 2) 1/3) in N 7.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma N (+ N 1) 1) 2)))) in N 7.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma N (+ N 1) 1) 2))) in N 7.764 * [taylor]: Taking taylor expansion of 1/3 in N 7.764 * [backup-simplify]: Simplify 1/3 into 1/3 7.764 * [taylor]: Taking taylor expansion of (log (pow (fma N (+ N 1) 1) 2)) in N 7.765 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 2) in N 7.765 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 7.765 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 7.765 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 7.765 * [taylor]: Taking taylor expansion of N in N 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.765 * [taylor]: Taking taylor expansion of N in N 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [taylor]: Taking taylor expansion of 1 in N 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [taylor]: Taking taylor expansion of 1 in N 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [backup-simplify]: Simplify (+ 0 1) into 1 7.765 * [backup-simplify]: Simplify (* 0 1) into 0 7.766 * [backup-simplify]: Simplify (+ 0 1) into 1 7.766 * [backup-simplify]: Simplify (* 1 1) into 1 7.766 * [backup-simplify]: Simplify (log 1) into 0 7.767 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.767 * [backup-simplify]: Simplify (+ 1 0) into 1 7.767 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.767 * [backup-simplify]: Simplify (+ 1 0) into 1 7.768 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 7.769 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 7.769 * [backup-simplify]: Simplify (exp 0) into 1 7.769 * [taylor]: Taking taylor expansion of (pow (pow (fma N (+ N 1) 1) 2) 1/3) in N 7.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma N (+ N 1) 1) 2)))) in N 7.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma N (+ N 1) 1) 2))) in N 7.769 * [taylor]: Taking taylor expansion of 1/3 in N 7.769 * [backup-simplify]: Simplify 1/3 into 1/3 7.769 * [taylor]: Taking taylor expansion of (log (pow (fma N (+ N 1) 1) 2)) in N 7.769 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 2) in N 7.769 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 7.769 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 7.769 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 7.769 * [taylor]: Taking taylor expansion of N in N 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.769 * [taylor]: Taking taylor expansion of N in N 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [taylor]: Taking taylor expansion of 1 in N 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [taylor]: Taking taylor expansion of 1 in N 7.769 * [backup-simplify]: Simplify 1 into 1 7.770 * [backup-simplify]: Simplify (+ 0 1) into 1 7.770 * [backup-simplify]: Simplify (* 0 1) into 0 7.770 * [backup-simplify]: Simplify (+ 0 1) into 1 7.770 * [backup-simplify]: Simplify (* 1 1) into 1 7.771 * [backup-simplify]: Simplify (log 1) into 0 7.771 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.771 * [backup-simplify]: Simplify (+ 1 0) into 1 7.772 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.772 * [backup-simplify]: Simplify (+ 1 0) into 1 7.772 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 7.773 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 7.773 * [backup-simplify]: Simplify (exp 0) into 1 7.773 * [backup-simplify]: Simplify 1 into 1 7.774 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 7.774 * [backup-simplify]: Simplify 2/3 into 2/3 7.774 * [backup-simplify]: Simplify (+ 0 0) into 0 7.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.775 * [backup-simplify]: Simplify (+ 1 0) into 1 7.775 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 1) (* 1 1))) into 3 7.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1 7.778 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 2) (* 0 0))) into 1/3 7.779 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 1/3 1) 1)))) into 5/9 7.779 * [backup-simplify]: Simplify 5/9 into 5/9 7.779 * [backup-simplify]: Simplify (+ (* 5/9 (pow N 2)) (+ (* 2/3 N) 1)) into (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1)) 7.779 * [backup-simplify]: Simplify (* (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) 7.779 * [approximate]: Taking taylor expansion of (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) in (N) around 0 7.779 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) in N 7.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)))) in N 7.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2))) in N 7.779 * [taylor]: Taking taylor expansion of 1/3 in N 7.779 * [backup-simplify]: Simplify 1/3 into 1/3 7.779 * [taylor]: Taking taylor expansion of (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)) in N 7.779 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) in N 7.779 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 7.779 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 7.779 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 7.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.779 * [taylor]: Taking taylor expansion of N in N 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (/ 1 1) into 1 7.780 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.780 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.780 * [taylor]: Taking taylor expansion of N in N 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (/ 1 1) into 1 7.780 * [taylor]: Taking taylor expansion of 1 in N 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [taylor]: Taking taylor expansion of 1 in N 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (+ 1 0) into 1 7.781 * [backup-simplify]: Simplify (* 1 1) into 1 7.781 * [backup-simplify]: Simplify (+ 1 0) into 1 7.781 * [backup-simplify]: Simplify (* 1 1) into 1 7.781 * [backup-simplify]: Simplify (log 1) into 0 7.782 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.782 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.782 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.782 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) in N 7.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)))) in N 7.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2))) in N 7.782 * [taylor]: Taking taylor expansion of 1/3 in N 7.782 * [backup-simplify]: Simplify 1/3 into 1/3 7.782 * [taylor]: Taking taylor expansion of (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)) in N 7.782 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) in N 7.782 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 7.782 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 7.782 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 7.782 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.782 * [taylor]: Taking taylor expansion of N in N 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (/ 1 1) into 1 7.782 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.782 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.782 * [taylor]: Taking taylor expansion of N in N 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.783 * [backup-simplify]: Simplify (/ 1 1) into 1 7.783 * [taylor]: Taking taylor expansion of 1 in N 7.783 * [backup-simplify]: Simplify 1 into 1 7.783 * [taylor]: Taking taylor expansion of 1 in N 7.783 * [backup-simplify]: Simplify 1 into 1 7.783 * [backup-simplify]: Simplify (+ 1 0) into 1 7.783 * [backup-simplify]: Simplify (* 1 1) into 1 7.784 * [backup-simplify]: Simplify (+ 1 0) into 1 7.784 * [backup-simplify]: Simplify (* 1 1) into 1 7.784 * [backup-simplify]: Simplify (log 1) into 0 7.785 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.785 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.785 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.785 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 7.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.787 * [backup-simplify]: Simplify (+ 0 1) into 1 7.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.788 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 7.788 * [backup-simplify]: Simplify (+ 1 0) into 1 7.789 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 7.791 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.791 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 4 (log N))))) into 2/3 7.792 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 7.792 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 7.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.793 * [backup-simplify]: Simplify (+ 0 0) into 0 7.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 7.794 * [backup-simplify]: Simplify (+ 0 1) into 1 7.794 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 1) (* 1 1))) into 3 7.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1 7.796 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.797 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 2) (* 0 (- (* 4 (log N)))))) into 1/3 7.797 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) 7.797 * [backup-simplify]: Simplify (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) 7.798 * [backup-simplify]: Simplify (+ (* (* 5/9 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (+ (* 2/3 (pow N 1/3)) (+ (pow (/ 1 N) -4/3) (* 5/9 (pow (/ 1 (pow N 2)) 1/3)))) 7.798 * [backup-simplify]: Simplify (* (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) 7.798 * [approximate]: Taking taylor expansion of (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) in (N) around 0 7.798 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) in N 7.798 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)))) in N 7.798 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2))) in N 7.798 * [taylor]: Taking taylor expansion of 1/3 in N 7.798 * [backup-simplify]: Simplify 1/3 into 1/3 7.798 * [taylor]: Taking taylor expansion of (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)) in N 7.798 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) in N 7.798 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 7.798 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 7.798 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 7.798 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.798 * [taylor]: Taking taylor expansion of -1 in N 7.798 * [backup-simplify]: Simplify -1 into -1 7.798 * [taylor]: Taking taylor expansion of N in N 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (/ -1 1) into -1 7.799 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.799 * [taylor]: Taking taylor expansion of 1 in N 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.799 * [taylor]: Taking taylor expansion of N in N 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (/ 1 1) into 1 7.799 * [taylor]: Taking taylor expansion of 1 in N 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (- 1) into -1 7.800 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.800 * [backup-simplify]: Simplify (* -1 -1) into 1 7.800 * [backup-simplify]: Simplify (+ 1 0) into 1 7.800 * [backup-simplify]: Simplify (* 1 1) into 1 7.801 * [backup-simplify]: Simplify (log 1) into 0 7.801 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.801 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.801 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.801 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) in N 7.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)))) in N 7.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2))) in N 7.801 * [taylor]: Taking taylor expansion of 1/3 in N 7.801 * [backup-simplify]: Simplify 1/3 into 1/3 7.801 * [taylor]: Taking taylor expansion of (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)) in N 7.801 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) in N 7.801 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 7.801 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 7.801 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 7.801 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.801 * [taylor]: Taking taylor expansion of -1 in N 7.801 * [backup-simplify]: Simplify -1 into -1 7.801 * [taylor]: Taking taylor expansion of N in N 7.801 * [backup-simplify]: Simplify 0 into 0 7.801 * [backup-simplify]: Simplify 1 into 1 7.802 * [backup-simplify]: Simplify (/ -1 1) into -1 7.802 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.802 * [taylor]: Taking taylor expansion of 1 in N 7.802 * [backup-simplify]: Simplify 1 into 1 7.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.802 * [taylor]: Taking taylor expansion of N in N 7.802 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify 1 into 1 7.802 * [backup-simplify]: Simplify (/ 1 1) into 1 7.802 * [taylor]: Taking taylor expansion of 1 in N 7.802 * [backup-simplify]: Simplify 1 into 1 7.802 * [backup-simplify]: Simplify (- 1) into -1 7.803 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.803 * [backup-simplify]: Simplify (* -1 -1) into 1 7.803 * [backup-simplify]: Simplify (+ 1 0) into 1 7.803 * [backup-simplify]: Simplify (* 1 1) into 1 7.804 * [backup-simplify]: Simplify (log 1) into 0 7.804 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.804 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.804 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.804 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.805 * [backup-simplify]: Simplify (- 0) into 0 7.805 * [backup-simplify]: Simplify (+ 1 0) into 1 7.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.806 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 7.806 * [backup-simplify]: Simplify (+ -1 0) into -1 7.807 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2 7.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 7.808 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.808 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 4 (log N))))) into (- 2/3) 7.809 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) 7.809 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) 7.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.810 * [backup-simplify]: Simplify (- 0) into 0 7.810 * [backup-simplify]: Simplify (+ 0 0) into 0 7.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.811 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 7.811 * [backup-simplify]: Simplify (+ 0 1) into 1 7.812 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* -1 -1) (* 1 1))) into 3 7.813 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1 7.814 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.814 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 -2) (* 0 (- (* 4 (log N)))))) into 1/3 7.815 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) 7.815 * [backup-simplify]: Simplify (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) 7.816 * [backup-simplify]: Simplify (+ (* (* 5/9 (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -2/3 (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -4/3))) into (+ (* 2/3 (pow N 1/3)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3))) 7.816 * * * [progress]: simplifying candidates 7.816 * * * * [progress]: [ 1 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 2 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 3 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 4 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 5 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 6 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 7 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 8 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 9 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 10 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 11 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 12 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 13 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 14 / 97 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ 1 N) 1)))))))> 7.816 * * * * [progress]: [ 15 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 16 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 17 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 18 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 19 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 20 / 97 ] simplifiying candidate # 7.816 * * * * [progress]: [ 21 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 22 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 23 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 24 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 25 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 26 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 27 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 28 / 97 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))> 7.817 * * * * [progress]: [ 29 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 30 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 31 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 32 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 33 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 34 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 35 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 36 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 37 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 38 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 39 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 40 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 41 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 42 / 97 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))> 7.817 * * * * [progress]: [ 43 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 44 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 45 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 46 / 97 ] simplifiying candidate # 7.817 * * * * [progress]: [ 47 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 48 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 49 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 50 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 51 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 52 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 53 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 54 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 55 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 56 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 57 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 58 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 59 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 60 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 61 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 62 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 63 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 64 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 65 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 66 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 67 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 68 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 69 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 70 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 71 / 97 ] simplifiying candidate # 7.818 * * * * [progress]: [ 72 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 73 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 74 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 75 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 76 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 77 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 78 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 79 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 80 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 81 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 82 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 83 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 84 / 97 ] simplifiying candidate #real (real->posit16 (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))> 7.819 * * * * [progress]: [ 85 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 86 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 87 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 88 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 89 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 90 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 91 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 92 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 93 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 94 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 95 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 96 / 97 ] simplifiying candidate # 7.819 * * * * [progress]: [ 97 / 97 ] simplifiying candidate # 7.821 * [simplify]: Simplifying: (expm1 (cbrt (fma N (+ 1 N) 1))) (log1p (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1))) (exp (cbrt (fma N (+ 1 N) 1))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt 1) (cbrt (fma N (+ 1 N) 1)) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (real->posit16 (cbrt (fma N (+ 1 N) 1))) (expm1 (cbrt (fma N (+ 1 N) 1))) (log1p (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1))) (exp (cbrt (fma N (+ 1 N) 1))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt 1) (cbrt (fma N (+ 1 N) 1)) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (real->posit16 (cbrt (fma N (+ 1 N) 1))) (expm1 (cbrt (fma N (+ 1 N) 1))) (log1p (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1))) (exp (cbrt (fma N (+ 1 N) 1))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt 1) (cbrt (fma N (+ 1 N) 1)) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (real->posit16 (cbrt (fma N (+ 1 N) 1))) (expm1 (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (log1p (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (+ 1/3 1/3) (+ 1 1) (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (+ 1 1) (+ (log (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1)))) (log (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (exp (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (* (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* 1 1) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* 2 1/3) (* 2 1) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt 1)) (* (cbrt (fma N (+ 1 N) 1)) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (fma N (+ 1 N) 1)) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (fma N (+ 1 N) 1)) 1) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (real->posit16 (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1)) (+ (* 2/3 (pow N 1/3)) (+ (pow (/ 1 N) -4/3) (* 5/9 (pow (/ 1 (pow N 2)) 1/3)))) (+ (* 2/3 (pow N 1/3)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3))) 7.822 * * [simplify]: iteration 1: (93 enodes) 7.851 * * [simplify]: iteration 2: (208 enodes) 7.916 * * [simplify]: iteration 3: (489 enodes) 8.103 * * [simplify]: iteration 4: (1040 enodes) 8.662 * * [simplify]: Extracting #0: cost 37 inf + 0 8.663 * * [simplify]: Extracting #1: cost 231 inf + 3 8.667 * * [simplify]: Extracting #2: cost 472 inf + 1726 8.675 * * [simplify]: Extracting #3: cost 424 inf + 13986 8.697 * * [simplify]: Extracting #4: cost 205 inf + 86152 8.736 * * [simplify]: Extracting #5: cost 22 inf + 165625 8.764 * * [simplify]: Extracting #6: cost 0 inf + 178781 8.799 * [simplify]: Simplified to: (expm1 (cbrt (+ (fma N N N) 1))) (log1p (cbrt (+ (fma N N N) 1))) (log (cbrt (+ (fma N N N) 1))) (exp (cbrt (+ (fma N N N) 1))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) 1 (cbrt (+ (fma N N N) 1)) (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (+ (fma N N N) 1) (sqrt (cbrt (+ (fma N N N) 1))) (sqrt (cbrt (+ (fma N N N) 1))) (real->posit16 (cbrt (+ (fma N N N) 1))) (expm1 (cbrt (+ (fma N N N) 1))) (log1p (cbrt (+ (fma N N N) 1))) (log (cbrt (+ (fma N N N) 1))) (exp (cbrt (+ (fma N N N) 1))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) 1 (cbrt (+ (fma N N N) 1)) (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (+ (fma N N N) 1) (sqrt (cbrt (+ (fma N N N) 1))) (sqrt (cbrt (+ (fma N N N) 1))) (real->posit16 (cbrt (+ (fma N N N) 1))) (expm1 (cbrt (+ (fma N N N) 1))) (log1p (cbrt (+ (fma N N N) 1))) (log (cbrt (+ (fma N N N) 1))) (exp (cbrt (+ (fma N N N) 1))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) 1 (cbrt (+ (fma N N N) 1)) (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (+ (fma N N N) 1) (sqrt (cbrt (+ (fma N N N) 1))) (sqrt (cbrt (+ (fma N N N) 1))) (real->posit16 (cbrt (+ (fma N N N) 1))) (expm1 (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (log1p (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) 2/3 2 (* (+ (fma N N N) 1) (+ (fma N N N) 1)) (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))) 2 (log (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (log (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (exp (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (* (+ (fma N N N) 1) (+ (fma N N N) 1)) (* (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (* (+ (fma N N N) 1) (+ (fma N N N) 1)) (fabs (cbrt (+ (fma N N N) 1))) (fabs (cbrt (+ (fma N N N) 1))) (* (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))) (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1)))) (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) 1 (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))) (* (cbrt (+ (fma N N N) 1)) (cbrt (cbrt (+ (fma N N N) 1)))) (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1)))) (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)) 1 (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))) (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)) 2/3 2 (* (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (+ (fma N N N) 1))) (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1)) (* (cbrt (+ (fma N N N) 1)) (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1))))) (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1)) (* (cbrt (+ (fma N N N) 1)) (cbrt (cbrt (+ (fma N N N) 1)))) (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1))) (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))) (* (cbrt (+ (fma N N N) 1)) (cbrt (cbrt (+ (fma N N N) 1)))) (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1))) (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))) (real->posit16 (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (fma N (fma N 2/9 1/3) 1) (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3))) (fma (cbrt (/ 1 N)) 1/3 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (pow (/ -1 N) -2/3))) (fma N (fma N 2/9 1/3) 1) (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3))) (fma (cbrt (/ 1 N)) 1/3 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (pow (/ -1 N) -2/3))) (fma N (fma N 2/9 1/3) 1) (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3))) (fma (cbrt (/ 1 N)) 1/3 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (pow (/ -1 N) -2/3))) (fma N (fma N 5/9 2/3) 1) (fma (cbrt (/ 1 (* N N))) 5/9 (fma 2/3 (cbrt N) (pow (/ 1 N) -4/3))) (fma 2/3 (cbrt N) (fma (cbrt (/ 1 (* N N))) 5/9 (pow (/ -1 N) -4/3))) 8.806 * * * [progress]: adding candidates to table 9.688 * * [progress]: iteration 4 / 4 9.688 * * * [progress]: picking best candidate 9.709 * * * * [pick]: Picked # 9.709 * * * [progress]: localizing error 9.756 * * * [progress]: generating rewritten candidates 9.756 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 9.757 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 9.758 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 9.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 9.761 * * * [progress]: generating series expansions 9.761 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 9.761 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3) 9.761 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 9.761 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 9.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 9.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 9.761 * [taylor]: Taking taylor expansion of 1/3 in N 9.761 * [backup-simplify]: Simplify 1/3 into 1/3 9.761 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 9.761 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 9.761 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 9.761 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 9.761 * [taylor]: Taking taylor expansion of N in N 9.761 * [backup-simplify]: Simplify 0 into 0 9.761 * [backup-simplify]: Simplify 1 into 1 9.761 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.761 * [taylor]: Taking taylor expansion of N in N 9.761 * [backup-simplify]: Simplify 0 into 0 9.761 * [backup-simplify]: Simplify 1 into 1 9.761 * [taylor]: Taking taylor expansion of 1 in N 9.761 * [backup-simplify]: Simplify 1 into 1 9.761 * [taylor]: Taking taylor expansion of 1 in N 9.761 * [backup-simplify]: Simplify 1 into 1 9.762 * [backup-simplify]: Simplify (+ 0 1) into 1 9.762 * [backup-simplify]: Simplify (* 0 1) into 0 9.762 * [backup-simplify]: Simplify (+ 0 1) into 1 9.763 * [backup-simplify]: Simplify (log 1) into 0 9.763 * [backup-simplify]: Simplify (* 1/3 0) into 0 9.763 * [backup-simplify]: Simplify (+ 1 0) into 1 9.764 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.764 * [backup-simplify]: Simplify (+ 1 0) into 1 9.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.766 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 9.767 * [backup-simplify]: Simplify (exp 0) into 1 9.767 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 9.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 9.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 9.767 * [taylor]: Taking taylor expansion of 1/3 in N 9.767 * [backup-simplify]: Simplify 1/3 into 1/3 9.767 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 9.767 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 9.767 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 9.767 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 9.767 * [taylor]: Taking taylor expansion of N in N 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.767 * [taylor]: Taking taylor expansion of N in N 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [taylor]: Taking taylor expansion of 1 in N 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [taylor]: Taking taylor expansion of 1 in N 9.767 * [backup-simplify]: Simplify 1 into 1 9.768 * [backup-simplify]: Simplify (+ 0 1) into 1 9.768 * [backup-simplify]: Simplify (* 0 1) into 0 9.769 * [backup-simplify]: Simplify (+ 0 1) into 1 9.769 * [backup-simplify]: Simplify (log 1) into 0 9.769 * [backup-simplify]: Simplify (* 1/3 0) into 0 9.770 * [backup-simplify]: Simplify (+ 1 0) into 1 9.770 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.771 * [backup-simplify]: Simplify (+ 1 0) into 1 9.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.773 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 9.773 * [backup-simplify]: Simplify (exp 0) into 1 9.773 * [backup-simplify]: Simplify 1 into 1 9.775 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 9.775 * [backup-simplify]: Simplify 1/3 into 1/3 9.775 * [backup-simplify]: Simplify (+ 0 0) into 0 9.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.776 * [backup-simplify]: Simplify (+ 1 0) into 1 9.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 9.780 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 9.782 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 9.782 * [backup-simplify]: Simplify 2/9 into 2/9 9.782 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 9.783 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 9.783 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 9.783 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 9.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 9.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.783 * [taylor]: Taking taylor expansion of 1/3 in N 9.783 * [backup-simplify]: Simplify 1/3 into 1/3 9.783 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.783 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 9.783 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 9.783 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 9.783 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.783 * [taylor]: Taking taylor expansion of N in N 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (/ 1 1) into 1 9.784 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.784 * [taylor]: Taking taylor expansion of N in N 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (/ 1 1) into 1 9.784 * [taylor]: Taking taylor expansion of 1 in N 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of 1 in N 9.784 * [backup-simplify]: Simplify 1 into 1 9.785 * [backup-simplify]: Simplify (+ 1 0) into 1 9.785 * [backup-simplify]: Simplify (* 1 1) into 1 9.786 * [backup-simplify]: Simplify (+ 1 0) into 1 9.786 * [backup-simplify]: Simplify (log 1) into 0 9.786 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.786 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.787 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.787 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 9.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 9.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.787 * [taylor]: Taking taylor expansion of 1/3 in N 9.787 * [backup-simplify]: Simplify 1/3 into 1/3 9.787 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.787 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 9.787 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 9.787 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 9.787 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.787 * [taylor]: Taking taylor expansion of N in N 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.788 * [backup-simplify]: Simplify (/ 1 1) into 1 9.788 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.788 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.788 * [taylor]: Taking taylor expansion of N in N 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [backup-simplify]: Simplify (/ 1 1) into 1 9.788 * [taylor]: Taking taylor expansion of 1 in N 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [taylor]: Taking taylor expansion of 1 in N 9.788 * [backup-simplify]: Simplify 1 into 1 9.789 * [backup-simplify]: Simplify (+ 1 0) into 1 9.789 * [backup-simplify]: Simplify (* 1 1) into 1 9.790 * [backup-simplify]: Simplify (+ 1 0) into 1 9.790 * [backup-simplify]: Simplify (log 1) into 0 9.790 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.791 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.791 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.791 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 9.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.792 * [backup-simplify]: Simplify (+ 0 1) into 1 9.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.794 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 9.794 * [backup-simplify]: Simplify (+ 1 0) into 1 9.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.796 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.796 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 9.797 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 9.798 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 9.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.799 * [backup-simplify]: Simplify (+ 0 0) into 0 9.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 9.801 * [backup-simplify]: Simplify (+ 0 1) into 1 9.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 9.804 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.805 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 9.807 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 9.807 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 9.808 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 9.808 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 9.808 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 9.808 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 9.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 9.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.808 * [taylor]: Taking taylor expansion of 1/3 in N 9.808 * [backup-simplify]: Simplify 1/3 into 1/3 9.808 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.808 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 9.808 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 9.808 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 9.808 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.808 * [taylor]: Taking taylor expansion of -1 in N 9.808 * [backup-simplify]: Simplify -1 into -1 9.808 * [taylor]: Taking taylor expansion of N in N 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 1 into 1 9.809 * [backup-simplify]: Simplify (/ -1 1) into -1 9.809 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.809 * [taylor]: Taking taylor expansion of 1 in N 9.809 * [backup-simplify]: Simplify 1 into 1 9.809 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.809 * [taylor]: Taking taylor expansion of N in N 9.809 * [backup-simplify]: Simplify 0 into 0 9.809 * [backup-simplify]: Simplify 1 into 1 9.810 * [backup-simplify]: Simplify (/ 1 1) into 1 9.810 * [taylor]: Taking taylor expansion of 1 in N 9.810 * [backup-simplify]: Simplify 1 into 1 9.810 * [backup-simplify]: Simplify (- 1) into -1 9.810 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.811 * [backup-simplify]: Simplify (* -1 -1) into 1 9.811 * [backup-simplify]: Simplify (+ 1 0) into 1 9.812 * [backup-simplify]: Simplify (log 1) into 0 9.812 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.812 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.812 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.812 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 9.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 9.812 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.812 * [taylor]: Taking taylor expansion of 1/3 in N 9.812 * [backup-simplify]: Simplify 1/3 into 1/3 9.813 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.813 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 9.813 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 9.813 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 9.813 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.813 * [taylor]: Taking taylor expansion of -1 in N 9.813 * [backup-simplify]: Simplify -1 into -1 9.813 * [taylor]: Taking taylor expansion of N in N 9.813 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify 1 into 1 9.813 * [backup-simplify]: Simplify (/ -1 1) into -1 9.813 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.813 * [taylor]: Taking taylor expansion of 1 in N 9.813 * [backup-simplify]: Simplify 1 into 1 9.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.813 * [taylor]: Taking taylor expansion of N in N 9.813 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify 1 into 1 9.814 * [backup-simplify]: Simplify (/ 1 1) into 1 9.814 * [taylor]: Taking taylor expansion of 1 in N 9.814 * [backup-simplify]: Simplify 1 into 1 9.814 * [backup-simplify]: Simplify (- 1) into -1 9.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.815 * [backup-simplify]: Simplify (* -1 -1) into 1 9.815 * [backup-simplify]: Simplify (+ 1 0) into 1 9.816 * [backup-simplify]: Simplify (log 1) into 0 9.816 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.816 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.817 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.817 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 9.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.818 * [backup-simplify]: Simplify (- 0) into 0 9.818 * [backup-simplify]: Simplify (+ 1 0) into 1 9.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.819 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 9.820 * [backup-simplify]: Simplify (+ -1 0) into -1 9.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.821 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.821 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 9.822 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 9.822 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 9.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.823 * [backup-simplify]: Simplify (- 0) into 0 9.823 * [backup-simplify]: Simplify (+ 0 0) into 0 9.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.824 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 9.825 * [backup-simplify]: Simplify (+ 0 1) into 1 9.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 9.826 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.827 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 9.828 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 9.828 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 9.828 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 9.828 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 9.828 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3) 9.828 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 9.828 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 9.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 9.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 9.829 * [taylor]: Taking taylor expansion of 1/3 in N 9.829 * [backup-simplify]: Simplify 1/3 into 1/3 9.829 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 9.829 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 9.829 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 9.829 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 9.829 * [taylor]: Taking taylor expansion of N in N 9.829 * [backup-simplify]: Simplify 0 into 0 9.829 * [backup-simplify]: Simplify 1 into 1 9.829 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.829 * [taylor]: Taking taylor expansion of N in N 9.829 * [backup-simplify]: Simplify 0 into 0 9.829 * [backup-simplify]: Simplify 1 into 1 9.829 * [taylor]: Taking taylor expansion of 1 in N 9.829 * [backup-simplify]: Simplify 1 into 1 9.829 * [taylor]: Taking taylor expansion of 1 in N 9.829 * [backup-simplify]: Simplify 1 into 1 9.829 * [backup-simplify]: Simplify (+ 0 1) into 1 9.829 * [backup-simplify]: Simplify (* 0 1) into 0 9.830 * [backup-simplify]: Simplify (+ 0 1) into 1 9.830 * [backup-simplify]: Simplify (log 1) into 0 9.830 * [backup-simplify]: Simplify (* 1/3 0) into 0 9.830 * [backup-simplify]: Simplify (+ 1 0) into 1 9.831 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.831 * [backup-simplify]: Simplify (+ 1 0) into 1 9.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.832 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 9.832 * [backup-simplify]: Simplify (exp 0) into 1 9.832 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 9.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 9.832 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 9.832 * [taylor]: Taking taylor expansion of 1/3 in N 9.832 * [backup-simplify]: Simplify 1/3 into 1/3 9.832 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 9.832 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 9.832 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 9.832 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 9.832 * [taylor]: Taking taylor expansion of N in N 9.832 * [backup-simplify]: Simplify 0 into 0 9.832 * [backup-simplify]: Simplify 1 into 1 9.832 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.832 * [taylor]: Taking taylor expansion of N in N 9.833 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify 1 into 1 9.833 * [taylor]: Taking taylor expansion of 1 in N 9.833 * [backup-simplify]: Simplify 1 into 1 9.833 * [taylor]: Taking taylor expansion of 1 in N 9.833 * [backup-simplify]: Simplify 1 into 1 9.833 * [backup-simplify]: Simplify (+ 0 1) into 1 9.833 * [backup-simplify]: Simplify (* 0 1) into 0 9.833 * [backup-simplify]: Simplify (+ 0 1) into 1 9.834 * [backup-simplify]: Simplify (log 1) into 0 9.834 * [backup-simplify]: Simplify (* 1/3 0) into 0 9.834 * [backup-simplify]: Simplify (+ 1 0) into 1 9.835 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.835 * [backup-simplify]: Simplify (+ 1 0) into 1 9.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.836 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 9.836 * [backup-simplify]: Simplify (exp 0) into 1 9.836 * [backup-simplify]: Simplify 1 into 1 9.837 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 9.837 * [backup-simplify]: Simplify 1/3 into 1/3 9.837 * [backup-simplify]: Simplify (+ 0 0) into 0 9.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.838 * [backup-simplify]: Simplify (+ 1 0) into 1 9.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 9.840 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 9.841 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 9.841 * [backup-simplify]: Simplify 2/9 into 2/9 9.841 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 9.841 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 9.841 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 9.841 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 9.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 9.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.841 * [taylor]: Taking taylor expansion of 1/3 in N 9.841 * [backup-simplify]: Simplify 1/3 into 1/3 9.841 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.841 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 9.841 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 9.841 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 9.841 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.841 * [taylor]: Taking taylor expansion of N in N 9.841 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [backup-simplify]: Simplify (/ 1 1) into 1 9.842 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.842 * [taylor]: Taking taylor expansion of N in N 9.842 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [backup-simplify]: Simplify (/ 1 1) into 1 9.842 * [taylor]: Taking taylor expansion of 1 in N 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [taylor]: Taking taylor expansion of 1 in N 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [backup-simplify]: Simplify (+ 1 0) into 1 9.843 * [backup-simplify]: Simplify (* 1 1) into 1 9.843 * [backup-simplify]: Simplify (+ 1 0) into 1 9.843 * [backup-simplify]: Simplify (log 1) into 0 9.843 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.844 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.844 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.844 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 9.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 9.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.844 * [taylor]: Taking taylor expansion of 1/3 in N 9.844 * [backup-simplify]: Simplify 1/3 into 1/3 9.844 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.844 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 9.844 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 9.844 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 9.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.844 * [taylor]: Taking taylor expansion of N in N 9.844 * [backup-simplify]: Simplify 0 into 0 9.844 * [backup-simplify]: Simplify 1 into 1 9.844 * [backup-simplify]: Simplify (/ 1 1) into 1 9.844 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.844 * [taylor]: Taking taylor expansion of N in N 9.844 * [backup-simplify]: Simplify 0 into 0 9.844 * [backup-simplify]: Simplify 1 into 1 9.844 * [backup-simplify]: Simplify (/ 1 1) into 1 9.844 * [taylor]: Taking taylor expansion of 1 in N 9.844 * [backup-simplify]: Simplify 1 into 1 9.845 * [taylor]: Taking taylor expansion of 1 in N 9.845 * [backup-simplify]: Simplify 1 into 1 9.845 * [backup-simplify]: Simplify (+ 1 0) into 1 9.845 * [backup-simplify]: Simplify (* 1 1) into 1 9.845 * [backup-simplify]: Simplify (+ 1 0) into 1 9.846 * [backup-simplify]: Simplify (log 1) into 0 9.846 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.846 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.846 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.846 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 9.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.847 * [backup-simplify]: Simplify (+ 0 1) into 1 9.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.848 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 9.848 * [backup-simplify]: Simplify (+ 1 0) into 1 9.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.849 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.849 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 9.850 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 9.850 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 9.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.851 * [backup-simplify]: Simplify (+ 0 0) into 0 9.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 9.853 * [backup-simplify]: Simplify (+ 0 1) into 1 9.855 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 9.856 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.857 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 9.858 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 9.858 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 9.859 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 9.859 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 9.859 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 9.859 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 9.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 9.859 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.859 * [taylor]: Taking taylor expansion of 1/3 in N 9.859 * [backup-simplify]: Simplify 1/3 into 1/3 9.859 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.859 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 9.859 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 9.859 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 9.860 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.860 * [taylor]: Taking taylor expansion of -1 in N 9.860 * [backup-simplify]: Simplify -1 into -1 9.860 * [taylor]: Taking taylor expansion of N in N 9.860 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify 1 into 1 9.860 * [backup-simplify]: Simplify (/ -1 1) into -1 9.860 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.860 * [taylor]: Taking taylor expansion of 1 in N 9.860 * [backup-simplify]: Simplify 1 into 1 9.860 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.860 * [taylor]: Taking taylor expansion of N in N 9.860 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify 1 into 1 9.861 * [backup-simplify]: Simplify (/ 1 1) into 1 9.861 * [taylor]: Taking taylor expansion of 1 in N 9.861 * [backup-simplify]: Simplify 1 into 1 9.861 * [backup-simplify]: Simplify (- 1) into -1 9.862 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.862 * [backup-simplify]: Simplify (* -1 -1) into 1 9.862 * [backup-simplify]: Simplify (+ 1 0) into 1 9.863 * [backup-simplify]: Simplify (log 1) into 0 9.863 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.863 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.863 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.863 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 9.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 9.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.863 * [taylor]: Taking taylor expansion of 1/3 in N 9.863 * [backup-simplify]: Simplify 1/3 into 1/3 9.863 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.863 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 9.863 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 9.863 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 9.863 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.863 * [taylor]: Taking taylor expansion of -1 in N 9.863 * [backup-simplify]: Simplify -1 into -1 9.863 * [taylor]: Taking taylor expansion of N in N 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify 1 into 1 9.864 * [backup-simplify]: Simplify (/ -1 1) into -1 9.864 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.864 * [taylor]: Taking taylor expansion of 1 in N 9.864 * [backup-simplify]: Simplify 1 into 1 9.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.864 * [taylor]: Taking taylor expansion of N in N 9.864 * [backup-simplify]: Simplify 0 into 0 9.864 * [backup-simplify]: Simplify 1 into 1 9.864 * [backup-simplify]: Simplify (/ 1 1) into 1 9.864 * [taylor]: Taking taylor expansion of 1 in N 9.864 * [backup-simplify]: Simplify 1 into 1 9.864 * [backup-simplify]: Simplify (- 1) into -1 9.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.865 * [backup-simplify]: Simplify (* -1 -1) into 1 9.865 * [backup-simplify]: Simplify (+ 1 0) into 1 9.865 * [backup-simplify]: Simplify (log 1) into 0 9.866 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.866 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.866 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.866 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 9.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.867 * [backup-simplify]: Simplify (- 0) into 0 9.867 * [backup-simplify]: Simplify (+ 1 0) into 1 9.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.871 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 9.871 * [backup-simplify]: Simplify (+ -1 0) into -1 9.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.872 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.873 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 9.873 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 9.873 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 9.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.874 * [backup-simplify]: Simplify (- 0) into 0 9.875 * [backup-simplify]: Simplify (+ 0 0) into 0 9.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.876 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 9.876 * [backup-simplify]: Simplify (+ 0 1) into 1 9.878 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 9.878 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.879 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 9.880 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 9.880 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 9.880 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 9.880 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 9.880 * [backup-simplify]: Simplify (sqrt (fma N (+ 1 N) 1)) into (sqrt (fma N (+ N 1) 1)) 9.880 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1) 1)) in (N) around 0 9.880 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1) 1)) in N 9.880 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 9.880 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 9.880 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 9.880 * [taylor]: Taking taylor expansion of N in N 9.880 * [backup-simplify]: Simplify 0 into 0 9.880 * [backup-simplify]: Simplify 1 into 1 9.880 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.880 * [taylor]: Taking taylor expansion of N in N 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [taylor]: Taking taylor expansion of 1 in N 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [taylor]: Taking taylor expansion of 1 in N 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [backup-simplify]: Simplify (+ 0 1) into 1 9.881 * [backup-simplify]: Simplify (* 0 1) into 0 9.882 * [backup-simplify]: Simplify (+ 0 1) into 1 9.882 * [backup-simplify]: Simplify (sqrt 1) into 1 9.882 * [backup-simplify]: Simplify (+ 1 0) into 1 9.882 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.883 * [backup-simplify]: Simplify (+ 1 0) into 1 9.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.883 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1) 1)) in N 9.883 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 9.883 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 9.883 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 9.883 * [taylor]: Taking taylor expansion of N in N 9.883 * [backup-simplify]: Simplify 0 into 0 9.883 * [backup-simplify]: Simplify 1 into 1 9.883 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.883 * [taylor]: Taking taylor expansion of N in N 9.883 * [backup-simplify]: Simplify 0 into 0 9.883 * [backup-simplify]: Simplify 1 into 1 9.883 * [taylor]: Taking taylor expansion of 1 in N 9.883 * [backup-simplify]: Simplify 1 into 1 9.883 * [taylor]: Taking taylor expansion of 1 in N 9.883 * [backup-simplify]: Simplify 1 into 1 9.884 * [backup-simplify]: Simplify (+ 0 1) into 1 9.884 * [backup-simplify]: Simplify (* 0 1) into 0 9.884 * [backup-simplify]: Simplify (+ 0 1) into 1 9.884 * [backup-simplify]: Simplify (sqrt 1) into 1 9.885 * [backup-simplify]: Simplify (+ 1 0) into 1 9.885 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.885 * [backup-simplify]: Simplify (+ 1 0) into 1 9.886 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.886 * [backup-simplify]: Simplify 1 into 1 9.886 * [backup-simplify]: Simplify 1/2 into 1/2 9.886 * [backup-simplify]: Simplify (+ 0 0) into 0 9.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.887 * [backup-simplify]: Simplify (+ 1 0) into 1 9.888 * [backup-simplify]: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 9.888 * [backup-simplify]: Simplify 3/8 into 3/8 9.889 * [backup-simplify]: Simplify (+ (* 3/8 (pow N 2)) (+ (* 1/2 N) 1)) into (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)) 9.889 * [backup-simplify]: Simplify (sqrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.889 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 9.889 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.889 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 9.889 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 9.889 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 9.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.889 * [taylor]: Taking taylor expansion of N in N 9.889 * [backup-simplify]: Simplify 0 into 0 9.889 * [backup-simplify]: Simplify 1 into 1 9.890 * [backup-simplify]: Simplify (/ 1 1) into 1 9.890 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.890 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.890 * [taylor]: Taking taylor expansion of N in N 9.890 * [backup-simplify]: Simplify 0 into 0 9.890 * [backup-simplify]: Simplify 1 into 1 9.890 * [backup-simplify]: Simplify (/ 1 1) into 1 9.890 * [taylor]: Taking taylor expansion of 1 in N 9.890 * [backup-simplify]: Simplify 1 into 1 9.890 * [taylor]: Taking taylor expansion of 1 in N 9.890 * [backup-simplify]: Simplify 1 into 1 9.891 * [backup-simplify]: Simplify (+ 1 0) into 1 9.891 * [backup-simplify]: Simplify (* 1 1) into 1 9.891 * [backup-simplify]: Simplify (+ 1 0) into 1 9.892 * [backup-simplify]: Simplify (sqrt 1) into 1 9.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.893 * [backup-simplify]: Simplify (+ 0 1) into 1 9.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.894 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 9.895 * [backup-simplify]: Simplify (+ 1 0) into 1 9.896 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.896 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.896 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 9.896 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 9.896 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 9.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.896 * [taylor]: Taking taylor expansion of N in N 9.896 * [backup-simplify]: Simplify 0 into 0 9.896 * [backup-simplify]: Simplify 1 into 1 9.896 * [backup-simplify]: Simplify (/ 1 1) into 1 9.896 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.896 * [taylor]: Taking taylor expansion of N in N 9.896 * [backup-simplify]: Simplify 0 into 0 9.896 * [backup-simplify]: Simplify 1 into 1 9.897 * [backup-simplify]: Simplify (/ 1 1) into 1 9.897 * [taylor]: Taking taylor expansion of 1 in N 9.897 * [backup-simplify]: Simplify 1 into 1 9.897 * [taylor]: Taking taylor expansion of 1 in N 9.897 * [backup-simplify]: Simplify 1 into 1 9.897 * [backup-simplify]: Simplify (+ 1 0) into 1 9.898 * [backup-simplify]: Simplify (* 1 1) into 1 9.898 * [backup-simplify]: Simplify (+ 1 0) into 1 9.898 * [backup-simplify]: Simplify (sqrt 1) into 1 9.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.900 * [backup-simplify]: Simplify (+ 0 1) into 1 9.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.901 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 9.901 * [backup-simplify]: Simplify (+ 1 0) into 1 9.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [backup-simplify]: Simplify 1/2 into 1/2 9.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.904 * [backup-simplify]: Simplify (+ 0 0) into 0 9.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 9.906 * [backup-simplify]: Simplify (+ 0 1) into 1 9.907 * [backup-simplify]: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 9.907 * [backup-simplify]: Simplify 3/8 into 3/8 9.907 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 N)) (+ 1/2 (* 1 (/ 1 (/ 1 N))))) into (+ (* 3/8 (/ 1 N)) (+ N 1/2)) 9.907 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.907 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 9.907 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.907 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 9.907 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 9.908 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 9.908 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.908 * [taylor]: Taking taylor expansion of -1 in N 9.908 * [backup-simplify]: Simplify -1 into -1 9.908 * [taylor]: Taking taylor expansion of N in N 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify 1 into 1 9.908 * [backup-simplify]: Simplify (/ -1 1) into -1 9.908 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.908 * [taylor]: Taking taylor expansion of 1 in N 9.908 * [backup-simplify]: Simplify 1 into 1 9.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.908 * [taylor]: Taking taylor expansion of N in N 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify 1 into 1 9.909 * [backup-simplify]: Simplify (/ 1 1) into 1 9.909 * [taylor]: Taking taylor expansion of 1 in N 9.909 * [backup-simplify]: Simplify 1 into 1 9.909 * [backup-simplify]: Simplify (- 1) into -1 9.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.910 * [backup-simplify]: Simplify (* -1 -1) into 1 9.910 * [backup-simplify]: Simplify (+ 1 0) into 1 9.911 * [backup-simplify]: Simplify (sqrt 1) into 1 9.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.911 * [backup-simplify]: Simplify (- 0) into 0 9.912 * [backup-simplify]: Simplify (+ 1 0) into 1 9.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.913 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 9.913 * [backup-simplify]: Simplify (+ -1 0) into -1 9.913 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 9.913 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.913 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 9.913 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 9.913 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 9.913 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.914 * [taylor]: Taking taylor expansion of -1 in N 9.914 * [backup-simplify]: Simplify -1 into -1 9.914 * [taylor]: Taking taylor expansion of N in N 9.914 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify 1 into 1 9.914 * [backup-simplify]: Simplify (/ -1 1) into -1 9.914 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.914 * [taylor]: Taking taylor expansion of 1 in N 9.914 * [backup-simplify]: Simplify 1 into 1 9.914 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.914 * [taylor]: Taking taylor expansion of N in N 9.914 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify 1 into 1 9.914 * [backup-simplify]: Simplify (/ 1 1) into 1 9.914 * [taylor]: Taking taylor expansion of 1 in N 9.914 * [backup-simplify]: Simplify 1 into 1 9.915 * [backup-simplify]: Simplify (- 1) into -1 9.915 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.915 * [backup-simplify]: Simplify (* -1 -1) into 1 9.915 * [backup-simplify]: Simplify (+ 1 0) into 1 9.916 * [backup-simplify]: Simplify (sqrt 1) into 1 9.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.917 * [backup-simplify]: Simplify (- 0) into 0 9.917 * [backup-simplify]: Simplify (+ 1 0) into 1 9.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.918 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 9.918 * [backup-simplify]: Simplify (+ -1 0) into -1 9.919 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 9.919 * [backup-simplify]: Simplify 1 into 1 9.919 * [backup-simplify]: Simplify -1/2 into -1/2 9.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.920 * [backup-simplify]: Simplify (- 0) into 0 9.920 * [backup-simplify]: Simplify (+ 0 0) into 0 9.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 9.921 * [backup-simplify]: Simplify (+ 0 1) into 1 9.922 * [backup-simplify]: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 9.922 * [backup-simplify]: Simplify 3/8 into 3/8 9.922 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 (- N))) (+ -1/2 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))) 9.922 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 9.922 * [backup-simplify]: Simplify (sqrt (fma N (+ 1 N) 1)) into (sqrt (fma N (+ N 1) 1)) 9.922 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1) 1)) in (N) around 0 9.922 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1) 1)) in N 9.922 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 9.922 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 9.922 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 9.922 * [taylor]: Taking taylor expansion of N in N 9.922 * [backup-simplify]: Simplify 0 into 0 9.922 * [backup-simplify]: Simplify 1 into 1 9.922 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.922 * [taylor]: Taking taylor expansion of N in N 9.922 * [backup-simplify]: Simplify 0 into 0 9.922 * [backup-simplify]: Simplify 1 into 1 9.922 * [taylor]: Taking taylor expansion of 1 in N 9.922 * [backup-simplify]: Simplify 1 into 1 9.922 * [taylor]: Taking taylor expansion of 1 in N 9.922 * [backup-simplify]: Simplify 1 into 1 9.923 * [backup-simplify]: Simplify (+ 0 1) into 1 9.923 * [backup-simplify]: Simplify (* 0 1) into 0 9.923 * [backup-simplify]: Simplify (+ 0 1) into 1 9.923 * [backup-simplify]: Simplify (sqrt 1) into 1 9.924 * [backup-simplify]: Simplify (+ 1 0) into 1 9.924 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.925 * [backup-simplify]: Simplify (+ 1 0) into 1 9.925 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.925 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1) 1)) in N 9.925 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 9.925 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 9.925 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 9.925 * [taylor]: Taking taylor expansion of N in N 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.925 * [taylor]: Taking taylor expansion of N in N 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [taylor]: Taking taylor expansion of 1 in N 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [taylor]: Taking taylor expansion of 1 in N 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [backup-simplify]: Simplify (+ 0 1) into 1 9.926 * [backup-simplify]: Simplify (* 0 1) into 0 9.926 * [backup-simplify]: Simplify (+ 0 1) into 1 9.926 * [backup-simplify]: Simplify (sqrt 1) into 1 9.926 * [backup-simplify]: Simplify (+ 1 0) into 1 9.927 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.927 * [backup-simplify]: Simplify (+ 1 0) into 1 9.927 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.928 * [backup-simplify]: Simplify 1 into 1 9.928 * [backup-simplify]: Simplify 1/2 into 1/2 9.928 * [backup-simplify]: Simplify (+ 0 0) into 0 9.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.929 * [backup-simplify]: Simplify (+ 1 0) into 1 9.929 * [backup-simplify]: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 9.929 * [backup-simplify]: Simplify 3/8 into 3/8 9.929 * [backup-simplify]: Simplify (+ (* 3/8 (pow N 2)) (+ (* 1/2 N) 1)) into (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)) 9.930 * [backup-simplify]: Simplify (sqrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.930 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 9.930 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.930 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 9.930 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 9.930 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 9.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.930 * [taylor]: Taking taylor expansion of N in N 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify 1 into 1 9.930 * [backup-simplify]: Simplify (/ 1 1) into 1 9.930 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.930 * [taylor]: Taking taylor expansion of N in N 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify 1 into 1 9.930 * [backup-simplify]: Simplify (/ 1 1) into 1 9.930 * [taylor]: Taking taylor expansion of 1 in N 9.930 * [backup-simplify]: Simplify 1 into 1 9.930 * [taylor]: Taking taylor expansion of 1 in N 9.930 * [backup-simplify]: Simplify 1 into 1 9.931 * [backup-simplify]: Simplify (+ 1 0) into 1 9.931 * [backup-simplify]: Simplify (* 1 1) into 1 9.931 * [backup-simplify]: Simplify (+ 1 0) into 1 9.932 * [backup-simplify]: Simplify (sqrt 1) into 1 9.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.933 * [backup-simplify]: Simplify (+ 0 1) into 1 9.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.934 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 9.935 * [backup-simplify]: Simplify (+ 1 0) into 1 9.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.935 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.935 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 9.936 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 9.936 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 9.936 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.936 * [taylor]: Taking taylor expansion of N in N 9.936 * [backup-simplify]: Simplify 0 into 0 9.936 * [backup-simplify]: Simplify 1 into 1 9.936 * [backup-simplify]: Simplify (/ 1 1) into 1 9.936 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.936 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.936 * [taylor]: Taking taylor expansion of N in N 9.936 * [backup-simplify]: Simplify 0 into 0 9.936 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify (/ 1 1) into 1 9.937 * [taylor]: Taking taylor expansion of 1 in N 9.937 * [backup-simplify]: Simplify 1 into 1 9.937 * [taylor]: Taking taylor expansion of 1 in N 9.937 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify (+ 1 0) into 1 9.938 * [backup-simplify]: Simplify (* 1 1) into 1 9.938 * [backup-simplify]: Simplify (+ 1 0) into 1 9.938 * [backup-simplify]: Simplify (sqrt 1) into 1 9.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.940 * [backup-simplify]: Simplify (+ 0 1) into 1 9.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.941 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 9.941 * [backup-simplify]: Simplify (+ 1 0) into 1 9.942 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.942 * [backup-simplify]: Simplify 1 into 1 9.942 * [backup-simplify]: Simplify 1/2 into 1/2 9.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.943 * [backup-simplify]: Simplify (+ 0 0) into 0 9.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 9.946 * [backup-simplify]: Simplify (+ 0 1) into 1 9.947 * [backup-simplify]: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 9.947 * [backup-simplify]: Simplify 3/8 into 3/8 9.947 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 N)) (+ 1/2 (* 1 (/ 1 (/ 1 N))))) into (+ (* 3/8 (/ 1 N)) (+ N 1/2)) 9.947 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.947 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 9.947 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.947 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 9.947 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 9.947 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 9.947 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.947 * [taylor]: Taking taylor expansion of -1 in N 9.947 * [backup-simplify]: Simplify -1 into -1 9.947 * [taylor]: Taking taylor expansion of N in N 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * [backup-simplify]: Simplify 1 into 1 9.948 * [backup-simplify]: Simplify (/ -1 1) into -1 9.948 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.948 * [taylor]: Taking taylor expansion of 1 in N 9.948 * [backup-simplify]: Simplify 1 into 1 9.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.948 * [taylor]: Taking taylor expansion of N in N 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 1 into 1 9.948 * [backup-simplify]: Simplify (/ 1 1) into 1 9.948 * [taylor]: Taking taylor expansion of 1 in N 9.948 * [backup-simplify]: Simplify 1 into 1 9.948 * [backup-simplify]: Simplify (- 1) into -1 9.948 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.949 * [backup-simplify]: Simplify (* -1 -1) into 1 9.949 * [backup-simplify]: Simplify (+ 1 0) into 1 9.949 * [backup-simplify]: Simplify (sqrt 1) into 1 9.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.950 * [backup-simplify]: Simplify (- 0) into 0 9.950 * [backup-simplify]: Simplify (+ 1 0) into 1 9.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.951 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 9.951 * [backup-simplify]: Simplify (+ -1 0) into -1 9.952 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 9.952 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.952 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 9.952 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 9.952 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 9.952 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.952 * [taylor]: Taking taylor expansion of -1 in N 9.952 * [backup-simplify]: Simplify -1 into -1 9.952 * [taylor]: Taking taylor expansion of N in N 9.952 * [backup-simplify]: Simplify 0 into 0 9.952 * [backup-simplify]: Simplify 1 into 1 9.952 * [backup-simplify]: Simplify (/ -1 1) into -1 9.952 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.952 * [taylor]: Taking taylor expansion of 1 in N 9.952 * [backup-simplify]: Simplify 1 into 1 9.952 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.952 * [taylor]: Taking taylor expansion of N in N 9.952 * [backup-simplify]: Simplify 0 into 0 9.952 * [backup-simplify]: Simplify 1 into 1 9.953 * [backup-simplify]: Simplify (/ 1 1) into 1 9.953 * [taylor]: Taking taylor expansion of 1 in N 9.953 * [backup-simplify]: Simplify 1 into 1 9.953 * [backup-simplify]: Simplify (- 1) into -1 9.953 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.953 * [backup-simplify]: Simplify (* -1 -1) into 1 9.954 * [backup-simplify]: Simplify (+ 1 0) into 1 9.954 * [backup-simplify]: Simplify (sqrt 1) into 1 9.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.954 * [backup-simplify]: Simplify (- 0) into 0 9.955 * [backup-simplify]: Simplify (+ 1 0) into 1 9.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.956 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 9.956 * [backup-simplify]: Simplify (+ -1 0) into -1 9.956 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 9.956 * [backup-simplify]: Simplify 1 into 1 9.956 * [backup-simplify]: Simplify -1/2 into -1/2 9.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.957 * [backup-simplify]: Simplify (- 0) into 0 9.957 * [backup-simplify]: Simplify (+ 0 0) into 0 9.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.959 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 9.959 * [backup-simplify]: Simplify (+ 0 1) into 1 9.960 * [backup-simplify]: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 9.960 * [backup-simplify]: Simplify 3/8 into 3/8 9.960 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 (- N))) (+ -1/2 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))) 9.960 * * * [progress]: simplifying candidates 9.960 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 14 / 72 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))))))> 9.960 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 9.960 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 28 / 72 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))))))> 9.961 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 9.961 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 44 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (fma N (+ 1 N) 1)))))))))> 9.962 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 60 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (fma N (+ 1 N) 1))))) (cbrt (sqrt (fma N (+ 1 N) 1)))))))> 9.962 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 9.962 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 9.963 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 9.963 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 9.963 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 9.963 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 9.963 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 9.963 * [simplify]: Simplifying: (expm1 (cbrt (fma N (+ 1 N) 1))) (log1p (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1))) (exp (cbrt (fma N (+ 1 N) 1))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt 1) (cbrt (fma N (+ 1 N) 1)) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (real->posit16 (cbrt (fma N (+ 1 N) 1))) (expm1 (cbrt (fma N (+ 1 N) 1))) (log1p (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1))) (exp (cbrt (fma N (+ 1 N) 1))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt 1) (cbrt (fma N (+ 1 N) 1)) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))) (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))) (real->posit16 (cbrt (fma N (+ 1 N) 1))) (expm1 (sqrt (fma N (+ 1 N) 1))) (log1p (sqrt (fma N (+ 1 N) 1))) (log (sqrt (fma N (+ 1 N) 1))) (exp (sqrt (fma N (+ 1 N) 1))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (cbrt (sqrt (fma N (+ 1 N) 1))) (* (* (sqrt (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1))) (sqrt (fma N (+ 1 N) 1))) (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (sqrt (fma N (+ 1 N) 1))) (sqrt (sqrt (fma N (+ 1 N) 1))) (sqrt 1) (sqrt (fma N (+ 1 N) 1)) (/ 1 2) (sqrt (sqrt (fma N (+ 1 N) 1))) (sqrt (sqrt (fma N (+ 1 N) 1))) (real->posit16 (sqrt (fma N (+ 1 N) 1))) (expm1 (sqrt (fma N (+ 1 N) 1))) (log1p (sqrt (fma N (+ 1 N) 1))) (log (sqrt (fma N (+ 1 N) 1))) (exp (sqrt (fma N (+ 1 N) 1))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (cbrt (sqrt (fma N (+ 1 N) 1))) (* (* (sqrt (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1))) (sqrt (fma N (+ 1 N) 1))) (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (sqrt (fma N (+ 1 N) 1))) (sqrt (sqrt (fma N (+ 1 N) 1))) (sqrt 1) (sqrt (fma N (+ 1 N) 1)) (/ 1 2) (sqrt (sqrt (fma N (+ 1 N) 1))) (sqrt (sqrt (fma N (+ 1 N) 1))) (real->posit16 (sqrt (fma N (+ 1 N) 1))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)) (+ (* 3/8 (/ 1 N)) (+ N 1/2)) (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))) (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)) (+ (* 3/8 (/ 1 N)) (+ N 1/2)) (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))) 9.964 * * [simplify]: iteration 1: (66 enodes) 9.987 * * [simplify]: iteration 2: (133 enodes) 10.032 * * [simplify]: iteration 3: (281 enodes) 10.167 * * [simplify]: iteration 4: (602 enodes) 10.521 * * [simplify]: iteration 5: (1157 enodes) 11.370 * * [simplify]: Extracting #0: cost 30 inf + 0 11.371 * * [simplify]: Extracting #1: cost 145 inf + 2 11.372 * * [simplify]: Extracting #2: cost 254 inf + 95 11.374 * * [simplify]: Extracting #3: cost 237 inf + 5487 11.380 * * [simplify]: Extracting #4: cost 175 inf + 25425 11.391 * * [simplify]: Extracting #5: cost 57 inf + 84749 11.412 * * [simplify]: Extracting #6: cost 4 inf + 114111 11.429 * * [simplify]: Extracting #7: cost 0 inf + 116911 11.456 * [simplify]: Simplified to: (expm1 (cbrt (+ (fma N N N) 1))) (log1p (cbrt (+ (fma N N N) 1))) (log (cbrt (+ (fma N N N) 1))) (exp (cbrt (+ (fma N N N) 1))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) 1 (cbrt (+ (fma N N N) 1)) (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (+ (fma N N N) 1) (sqrt (cbrt (+ (fma N N N) 1))) (sqrt (cbrt (+ (fma N N N) 1))) (real->posit16 (cbrt (+ (fma N N N) 1))) (expm1 (cbrt (+ (fma N N N) 1))) (log1p (cbrt (+ (fma N N N) 1))) (log (cbrt (+ (fma N N N) 1))) (exp (cbrt (+ (fma N N N) 1))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))) 1 (cbrt (+ (fma N N N) 1)) (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1)))) (cbrt (cbrt (+ (fma N N N) 1))) (+ (fma N N N) 1) (sqrt (cbrt (+ (fma N N N) 1))) (sqrt (cbrt (+ (fma N N N) 1))) (real->posit16 (cbrt (+ (fma N N N) 1))) (expm1 (sqrt (+ (fma N N N) 1))) (log1p (sqrt (+ (fma N N N) 1))) (log (sqrt (+ (fma N N N) 1))) (exp (sqrt (+ (fma N N N) 1))) (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) (cbrt (sqrt (+ (fma N N N) 1))) (* (sqrt (+ (fma N N N) 1)) (+ (fma N N N) 1)) (fabs (cbrt (+ (fma N N N) 1))) (sqrt (cbrt (+ (fma N N N) 1))) (sqrt (sqrt (+ (fma N N N) 1))) (sqrt (sqrt (+ (fma N N N) 1))) 1 (sqrt (+ (fma N N N) 1)) 1/2 (sqrt (sqrt (+ (fma N N N) 1))) (sqrt (sqrt (+ (fma N N N) 1))) (real->posit16 (sqrt (+ (fma N N N) 1))) (expm1 (sqrt (+ (fma N N N) 1))) (log1p (sqrt (+ (fma N N N) 1))) (log (sqrt (+ (fma N N N) 1))) (exp (sqrt (+ (fma N N N) 1))) (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1)))) (cbrt (sqrt (+ (fma N N N) 1))) (* (sqrt (+ (fma N N N) 1)) (+ (fma N N N) 1)) (fabs (cbrt (+ (fma N N N) 1))) (sqrt (cbrt (+ (fma N N N) 1))) (sqrt (sqrt (+ (fma N N N) 1))) (sqrt (sqrt (+ (fma N N N) 1))) 1 (sqrt (+ (fma N N N) 1)) 1/2 (sqrt (sqrt (+ (fma N N N) 1))) (sqrt (sqrt (+ (fma N N N) 1))) (real->posit16 (sqrt (+ (fma N N N) 1))) (fma N (fma 2/9 N 1/3) 1) (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3))) (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (- (/ 1 N)) -2/3))) (fma N (fma 2/9 N 1/3) 1) (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3))) (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (- (/ 1 N)) -2/3))) (fma N (fma 3/8 N 1/2) 1) (+ (/ 3/8 N) (+ 1/2 N)) (+ -1/2 (- (/ -3/8 N) N)) (fma N (fma 3/8 N 1/2) 1) (+ (/ 3/8 N) (+ 1/2 N)) (+ -1/2 (- (/ -3/8 N) N)) 11.465 * * * [progress]: adding candidates to table 12.294 * [progress]: [Phase 3 of 3] Extracting. 12.294 * * [regime]: Finding splitpoints for: (# # # # # #) 12.294 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.295 * * * * [regimes]: Trying to branch on N from (# # # # # #) 12.339 * * * [regime]: Found split indices: #