6.982 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.034 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.035 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.037 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.037 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.059 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.059 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.063 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.063 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.063 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.063 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.063 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.063 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.063 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.063 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.064 * * * [progress]: simplifying candidates 0.064 * [simplify]: Simplifying using # : (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (expm1 (atan (+ N 1.0))) (log1p (atan (+ N 1.0))) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.068 * * [simplify]: iteration 0 : 129 enodes (cost 365 ) 0.071 * * [simplify]: iteration 1 : 345 enodes (cost 264 ) 0.079 * * [simplify]: iteration 2 : 1480 enodes (cost 254 ) 0.111 * * [simplify]: iteration 3 : 5001 enodes (cost 198 ) 0.113 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1.0 (fma N (+ N 1.0) 1) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (fma (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)) (* (atan N) (atan N))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (expm1 (atan (+ N 1.0))) (log1p (atan (+ N 1.0))) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.113 * * * [progress]: adding candidates to table 0.178 * * [progress]: iteration 2 / 4 0.178 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.189 * * * [progress]: generating series expansions 0.189 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.189 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.189 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.190 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.190 * * * [progress]: simplifying candidates 0.191 * [simplify]: Simplifying using # : (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.197 * * [simplify]: iteration 0 : 21 enodes (cost 57 ) 0.199 * * [simplify]: iteration 1 : 32 enodes (cost 50 ) 0.200 * * [simplify]: iteration 2 : 55 enodes (cost 50 ) 0.202 * * [simplify]: iteration 3 : 70 enodes (cost 50 ) 0.203 * * [simplify]: iteration 4 : 89 enodes (cost 50 ) 0.205 * * [simplify]: iteration 5 : 143 enodes (cost 50 ) 0.210 * * [simplify]: iteration 6 : 567 enodes (cost 50 ) 0.225 * * [simplify]: iteration 7 : 1779 enodes (cost 50 ) 0.288 * * [simplify]: iteration 8 : 5001 enodes (cost 50 ) 0.289 * [simplify]: Simplified to: (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.289 * * * [progress]: adding candidates to table 0.310 * * [progress]: iteration 3 / 4 0.310 * * * [progress]: picking best candidate 0.321 * * * * [pick]: Picked # 0.321 * * * [progress]: localizing error 0.331 * * * [progress]: generating rewritten candidates 0.331 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.332 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.333 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.334 * * * [progress]: generating series expansions 0.334 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.334 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.334 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.334 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.334 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.334 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.334 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.335 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.335 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.335 * [approximate]: Taking taylor expansion of (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 0.335 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.335 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma N (+ N 1.0) 1))) 1) 0.335 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.336 * [taylor]: Taking taylor expansion of 1 in N 0.336 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.336 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma N (+ N 1.0) 1))) 1) 0.336 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.336 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.336 * [taylor]: Taking taylor expansion of 1 in N 0.348 * [approximate]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 0.348 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.348 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 1) 0.349 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.349 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.349 * [taylor]: Taking taylor expansion of 1 in N 0.349 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.349 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 1) 0.349 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.349 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.349 * [taylor]: Taking taylor expansion of 1 in N 0.361 * [approximate]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 0.362 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.362 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 1) 0.362 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.362 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.366 * [taylor]: Taking taylor expansion of 1 in N 0.366 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.366 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 1) 0.366 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.366 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.366 * [taylor]: Taking taylor expansion of 1 in N 0.379 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.379 * [approximate]: Taking taylor expansion of (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) in (N) around 0 0.379 * [taylor]: Taking taylor expansion of (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.379 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) 0.379 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.379 * [taylor]: Taking taylor expansion of 1 in N 0.379 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.379 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma N (+ N 1.0) 1))) 1) 0.379 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.379 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.379 * [taylor]: Taking taylor expansion of 1 in N 0.380 * [taylor]: Taking taylor expansion of (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.380 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) 0.380 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.380 * [taylor]: Taking taylor expansion of 1 in N 0.380 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.380 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma N (+ N 1.0) 1))) 1) 0.380 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.380 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.380 * [taylor]: Taking taylor expansion of 1 in N 0.415 * [approximate]: Taking taylor expansion of (log1p (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in (N) around 0 0.415 * [taylor]: Taking taylor expansion of (log1p (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.415 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) 0.415 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.415 * [taylor]: Taking taylor expansion of 1 in N 0.415 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.415 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 1) 0.415 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.415 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.415 * [taylor]: Taking taylor expansion of 1 in N 0.416 * [taylor]: Taking taylor expansion of (log1p (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.416 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) 0.416 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.416 * [taylor]: Taking taylor expansion of 1 in N 0.416 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.416 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 1) 0.416 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.416 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.416 * [taylor]: Taking taylor expansion of 1 in N 0.456 * [approximate]: Taking taylor expansion of (log1p (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in (N) around 0 0.456 * [taylor]: Taking taylor expansion of (log1p (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.456 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) 0.456 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.456 * [taylor]: Taking taylor expansion of 1 in N 0.456 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.456 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 1) 0.456 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.456 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.457 * [taylor]: Taking taylor expansion of 1 in N 0.457 * [taylor]: Taking taylor expansion of (log1p (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.457 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) 0.457 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.457 * [taylor]: Taking taylor expansion of 1 in N 0.457 * [taylor]: Taking taylor expansion of (expm1 (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.458 * [taylor]: Rewrote expression to (- (exp (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 1) 0.458 * [taylor]: Taking taylor expansion of (exp (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.458 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.458 * [taylor]: Taking taylor expansion of 1 in N 0.494 * * * [progress]: simplifying candidates 0.494 * [simplify]: Simplifying using # : (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (+ 1 (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (log1p (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (log (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (exp (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))))) (cbrt (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (log1p (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (- (exp (atan2 1.0 (fma N (+ N 1.0) 1))) 1) (- (exp (atan2 1.0 (fma N (+ N 1.0) 1))) 1) (- (exp (atan2 1.0 (fma N (+ N 1.0) 1))) 1) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.498 * * [simplify]: iteration 0 : 46 enodes (cost 193 ) 0.499 * * [simplify]: iteration 1 : 92 enodes (cost 170 ) 0.501 * * [simplify]: iteration 2 : 196 enodes (cost 169 ) 0.505 * * [simplify]: iteration 3 : 750 enodes (cost 169 ) 0.527 * * [simplify]: iteration 4 : 5002 enodes (cost 169 ) 0.529 * [simplify]: Simplified to: (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (atan2 1.0 (fma N (+ N 1.0) 1)) (log (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (sqrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.529 * * * [progress]: adding candidates to table 0.595 * * [progress]: iteration 4 / 4 0.595 * * * [progress]: picking best candidate 0.602 * * * * [pick]: Picked # 0.602 * * * [progress]: localizing error 0.610 * * * [progress]: generating rewritten candidates 0.610 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.612 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.613 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.614 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.615 * * * [progress]: generating series expansions 0.615 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.615 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 0.615 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.615 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.616 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.616 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.619 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 0.619 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.619 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.619 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.620 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.623 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 0.623 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.623 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.623 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.623 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.627 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.627 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 0.627 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.627 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.627 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.627 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.631 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 0.631 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.631 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.631 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.631 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.635 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 0.635 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.635 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.635 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.635 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.638 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.639 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.639 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.639 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.640 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.640 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.640 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.641 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.641 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.641 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.641 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.641 * * * [progress]: simplifying candidates 0.642 * [simplify]: Simplifying using # : (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.650 * * [simplify]: iteration 0 : 37 enodes (cost 296 ) 0.651 * * [simplify]: iteration 1 : 62 enodes (cost 276 ) 0.653 * * [simplify]: iteration 2 : 100 enodes (cost 276 ) 0.655 * * [simplify]: iteration 3 : 148 enodes (cost 276 ) 0.658 * * [simplify]: iteration 4 : 341 enodes (cost 276 ) 0.665 * * [simplify]: iteration 5 : 975 enodes (cost 276 ) 0.691 * * [simplify]: iteration 6 : 3911 enodes (cost 274 ) 0.819 * * [simplify]: iteration 7 : 5001 enodes (cost 274 ) 0.822 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2) 1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2 (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2) 1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2 (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.822 * * * [progress]: adding candidates to table 0.935 * [progress]: [Phase 3 of 3] Extracting. 0.935 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.937 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.937 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 0.965 * * * [regime]: Found split indices: #