37.267 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying using # : (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.041 * * [simplify]: iteration 0 : 28 enodes (cost 9 ) 0.042 * * [simplify]: iteration 1 : 40 enodes (cost 9 ) 0.044 * * [simplify]: iteration 2 : 48 enodes (cost 9 ) 0.045 * * [simplify]: iteration 3 : 50 enodes (cost 9 ) 0.047 * * [simplify]: iteration 4 : 52 enodes (cost 9 ) 0.048 * * [simplify]: iteration 5 : 53 enodes (cost 9 ) 0.050 * * [simplify]: iteration 6 : 53 enodes (cost 9 ) 0.050 * [simplify]: Simplified to: (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 0.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.105 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.117 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.148 * * * [progress]: generating series expansions 0.148 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 0.149 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.149 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.149 * [taylor]: Taking taylor expansion of 4.0 in x 0.149 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.149 * [taylor]: Taking taylor expansion of p in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.150 * [taylor]: Taking taylor expansion of x in p 0.150 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.150 * [taylor]: Taking taylor expansion of 4.0 in p 0.150 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.150 * [taylor]: Taking taylor expansion of p in p 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.151 * [taylor]: Taking taylor expansion of x in p 0.151 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.151 * [taylor]: Taking taylor expansion of 4.0 in p 0.151 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.151 * [taylor]: Taking taylor expansion of p in p 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of 0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.153 * [taylor]: Taking taylor expansion of 2.0 in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of 0 in x 0.156 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.157 * [taylor]: Taking taylor expansion of 4.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.157 * [taylor]: Taking taylor expansion of p in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.159 * [taylor]: Taking taylor expansion of x in p 0.159 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.159 * [taylor]: Taking taylor expansion of 4.0 in p 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.160 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.160 * [taylor]: Taking taylor expansion of p in p 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.163 * [taylor]: Taking taylor expansion of x in p 0.163 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.163 * [taylor]: Taking taylor expansion of 4.0 in p 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.163 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.163 * [taylor]: Taking taylor expansion of p in p 0.166 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.166 * [taylor]: Taking taylor expansion of 4.0 in x 0.166 * [taylor]: Taking taylor expansion of 0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.169 * [taylor]: Taking taylor expansion of 1/2 in x 0.169 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.170 * [taylor]: Taking taylor expansion of 4.0 in x 0.176 * [taylor]: Taking taylor expansion of 0 in x 0.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.181 * [taylor]: Taking taylor expansion of 4.0 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.181 * [taylor]: Taking taylor expansion of p in x 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.183 * [taylor]: Taking taylor expansion of x in p 0.183 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.183 * [taylor]: Taking taylor expansion of 4.0 in p 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.183 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.183 * [taylor]: Taking taylor expansion of p in p 0.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.186 * [taylor]: Taking taylor expansion of x in p 0.187 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.187 * [taylor]: Taking taylor expansion of 4.0 in p 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.187 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.187 * [taylor]: Taking taylor expansion of p in p 0.190 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.190 * [taylor]: Taking taylor expansion of 4.0 in x 0.190 * [taylor]: Taking taylor expansion of 0 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.193 * [taylor]: Taking taylor expansion of 1/2 in x 0.193 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.193 * [taylor]: Taking taylor expansion of 4.0 in x 0.200 * [taylor]: Taking taylor expansion of 0 in x 0.203 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.204 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.204 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.204 * [taylor]: Taking taylor expansion of x in p 0.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.204 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.204 * [taylor]: Taking taylor expansion of x in p 0.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.204 * [taylor]: Taking taylor expansion of 4.0 in p 0.204 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.204 * [taylor]: Taking taylor expansion of p in p 0.205 * [taylor]: Taking taylor expansion of 1.0 in p 0.205 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.205 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.205 * [taylor]: Taking taylor expansion of 4.0 in x 0.205 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.205 * [taylor]: Taking taylor expansion of p in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.206 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.207 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.207 * [taylor]: Taking taylor expansion of 4.0 in x 0.207 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.207 * [taylor]: Taking taylor expansion of p in x 0.208 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [taylor]: Taking taylor expansion of 1.0 in p 0.209 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.209 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.209 * [taylor]: Taking taylor expansion of 0.25 in p 0.210 * [taylor]: Taking taylor expansion of p in p 0.215 * [taylor]: Taking taylor expansion of 0 in p 0.221 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 0.221 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 0.221 * [taylor]: Taking taylor expansion of 0.03125 in p 0.221 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 0.221 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 0.221 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.221 * [taylor]: Taking taylor expansion of p in p 0.221 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.221 * [taylor]: Taking taylor expansion of 0.25 in p 0.236 * [approximate]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in (x p) around 0 0.236 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.236 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.236 * [taylor]: Taking taylor expansion of x in p 0.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.236 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.236 * [taylor]: Taking taylor expansion of x in p 0.236 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.236 * [taylor]: Taking taylor expansion of 4.0 in p 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.236 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.236 * [taylor]: Taking taylor expansion of p in p 0.240 * [taylor]: Taking taylor expansion of 1.0 in p 0.240 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.240 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.241 * [taylor]: Taking taylor expansion of 4.0 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.241 * [taylor]: Taking taylor expansion of p in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.243 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.244 * [taylor]: Taking taylor expansion of 4.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.244 * [taylor]: Taking taylor expansion of p in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of 2.0 in p 0.249 * [taylor]: Taking taylor expansion of 0 in p 0.252 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.252 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.252 * [taylor]: Taking taylor expansion of 2.0 in p 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.252 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.252 * [taylor]: Taking taylor expansion of p in p 0.260 * [taylor]: Taking taylor expansion of 0 in p 0.260 * [approximate]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.260 * [taylor]: Taking taylor expansion of 1.0 in p 0.260 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.260 * [taylor]: Taking taylor expansion of x in p 0.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.260 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.260 * [taylor]: Taking taylor expansion of x in p 0.260 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.260 * [taylor]: Taking taylor expansion of 4.0 in p 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.260 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.260 * [taylor]: Taking taylor expansion of p in p 0.264 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.265 * [taylor]: Taking taylor expansion of 4.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.265 * [taylor]: Taking taylor expansion of p in x 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.269 * [taylor]: Taking taylor expansion of 4.0 in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.269 * [taylor]: Taking taylor expansion of p in x 0.272 * [taylor]: Taking taylor expansion of 0 in p 0.273 * [taylor]: Taking taylor expansion of 0 in p 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.277 * [taylor]: Taking taylor expansion of 2.0 in p 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.277 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.277 * [taylor]: Taking taylor expansion of p in p 0.280 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.280 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 0.280 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.280 * [taylor]: Taking taylor expansion of x in p 0.280 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.280 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.280 * [taylor]: Taking taylor expansion of x in p 0.280 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.280 * [taylor]: Taking taylor expansion of 4.0 in p 0.280 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.280 * [taylor]: Taking taylor expansion of p in p 0.281 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.281 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.281 * [taylor]: Taking taylor expansion of 4.0 in x 0.281 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.281 * [taylor]: Taking taylor expansion of p in x 0.282 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.283 * [taylor]: Taking taylor expansion of 4.0 in x 0.283 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.283 * [taylor]: Taking taylor expansion of p in x 0.284 * [taylor]: Taking taylor expansion of 0 in p 0.285 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.285 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.285 * [taylor]: Taking taylor expansion of 0.25 in p 0.285 * [taylor]: Taking taylor expansion of p in p 0.290 * [taylor]: Taking taylor expansion of 0 in p 0.291 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 0.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.291 * [taylor]: Taking taylor expansion of x in p 0.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.292 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.292 * [taylor]: Taking taylor expansion of x in p 0.292 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.292 * [taylor]: Taking taylor expansion of 4.0 in p 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.292 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.292 * [taylor]: Taking taylor expansion of p in p 0.295 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.296 * [taylor]: Taking taylor expansion of 4.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.297 * [taylor]: Taking taylor expansion of p in x 0.299 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.300 * [taylor]: Taking taylor expansion of 4.0 in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.300 * [taylor]: Taking taylor expansion of p in x 0.303 * [taylor]: Taking taylor expansion of 1 in p 0.304 * [taylor]: Taking taylor expansion of 0 in p 0.307 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.307 * [taylor]: Taking taylor expansion of 2.0 in p 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.307 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.307 * [taylor]: Taking taylor expansion of p in p 0.314 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 0.314 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.314 * [taylor]: Taking taylor expansion of -1 in p 0.314 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.314 * [taylor]: Taking taylor expansion of x in p 0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.314 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.315 * [taylor]: Taking taylor expansion of x in p 0.315 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.315 * [taylor]: Taking taylor expansion of 4.0 in p 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.315 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.315 * [taylor]: Taking taylor expansion of p in p 0.319 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.319 * [taylor]: Taking taylor expansion of -1 in x 0.319 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.319 * [taylor]: Taking taylor expansion of 4.0 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.320 * [taylor]: Taking taylor expansion of p in x 0.322 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.322 * [taylor]: Taking taylor expansion of -1 in x 0.322 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.323 * [taylor]: Taking taylor expansion of 4.0 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.323 * [taylor]: Taking taylor expansion of p in x 0.326 * [taylor]: Taking taylor expansion of -1 in p 0.327 * [taylor]: Taking taylor expansion of 0 in p 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.331 * [taylor]: Taking taylor expansion of 2.0 in p 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.332 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.332 * [taylor]: Taking taylor expansion of p in p 0.335 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.336 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in (x p) around 0 0.336 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in p 0.336 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.336 * [taylor]: Taking taylor expansion of 0.5 in p 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in p 0.336 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.336 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.336 * [taylor]: Taking taylor expansion of x in p 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.336 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.336 * [taylor]: Taking taylor expansion of x in p 0.336 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.336 * [taylor]: Taking taylor expansion of 4.0 in p 0.336 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.337 * [taylor]: Taking taylor expansion of p in p 0.337 * [taylor]: Taking taylor expansion of 1.0 in p 0.339 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 0.339 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.339 * [taylor]: Taking taylor expansion of 0.5 in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.340 * [taylor]: Taking taylor expansion of 4.0 in x 0.340 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.340 * [taylor]: Taking taylor expansion of p in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 0.343 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.343 * [taylor]: Taking taylor expansion of 0.5 in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.344 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.344 * [taylor]: Taking taylor expansion of 4.0 in x 0.344 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.344 * [taylor]: Taking taylor expansion of p in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in p 0.349 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.349 * [taylor]: Taking taylor expansion of 1.0 in p 0.349 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.349 * [taylor]: Taking taylor expansion of 0.5 in p 0.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0)))) in p 0.353 * [taylor]: Taking taylor expansion of 1/2 in p 0.353 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0))) in p 0.353 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 0.5)) in p 0.353 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.353 * [taylor]: Taking taylor expansion of 0.25 in p 0.354 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.354 * [taylor]: Taking taylor expansion of 0.5 in p 0.354 * [taylor]: Taking taylor expansion of (* p (sqrt 1.0)) in p 0.354 * [taylor]: Taking taylor expansion of p in p 0.354 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.354 * [taylor]: Taking taylor expansion of 1.0 in p 0.371 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))))) in p 0.371 * [taylor]: Taking taylor expansion of (* 1/8 (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3)))) in p 0.371 * [taylor]: Taking taylor expansion of 1/8 in p 0.371 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))) in p 0.371 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 2) (sqrt 0.5)) in p 0.371 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 2) in p 0.371 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.371 * [taylor]: Taking taylor expansion of 0.25 in p 0.371 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.371 * [taylor]: Taking taylor expansion of 0.5 in p 0.372 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 1.0) 3)) in p 0.372 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.372 * [taylor]: Taking taylor expansion of p in p 0.372 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in p 0.372 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.372 * [taylor]: Taking taylor expansion of 1.0 in p 0.416 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5)))) (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))))) in p 0.416 * [taylor]: Taking taylor expansion of (* 1/16 (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5)))) in p 0.416 * [taylor]: Taking taylor expansion of 1/16 in p 0.416 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5))) in p 0.416 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 3) (sqrt 0.5)) in p 0.416 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 3) in p 0.416 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.416 * [taylor]: Taking taylor expansion of 0.25 in p 0.417 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.417 * [taylor]: Taking taylor expansion of 0.5 in p 0.417 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 1.0) 5)) in p 0.417 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.417 * [taylor]: Taking taylor expansion of p in p 0.417 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in p 0.417 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.417 * [taylor]: Taking taylor expansion of 1.0 in p 0.429 * [taylor]: Taking taylor expansion of (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))))) in p 0.429 * [taylor]: Taking taylor expansion of 0.015625 in p 0.429 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))) in p 0.429 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.429 * [taylor]: Taking taylor expansion of 0.5 in p 0.429 * [taylor]: Taking taylor expansion of (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))) in p 0.430 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.430 * [taylor]: Taking taylor expansion of p in p 0.430 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 1.0)) in p 0.430 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.430 * [taylor]: Taking taylor expansion of 0.25 in p 0.430 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.430 * [taylor]: Taking taylor expansion of 1.0 in p 0.478 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) (sqrt 0.5)) in (x p) around 0 0.478 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) (sqrt 0.5)) in p 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in p 0.478 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.479 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.479 * [taylor]: Taking taylor expansion of x in p 0.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.479 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.479 * [taylor]: Taking taylor expansion of x in p 0.479 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.479 * [taylor]: Taking taylor expansion of 4.0 in p 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.479 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.479 * [taylor]: Taking taylor expansion of p in p 0.482 * [taylor]: Taking taylor expansion of 1.0 in p 0.484 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.484 * [taylor]: Taking taylor expansion of 0.5 in p 0.485 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) (sqrt 0.5)) in x 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 0.485 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.486 * [taylor]: Taking taylor expansion of 4.0 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.486 * [taylor]: Taking taylor expansion of p in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.491 * [taylor]: Taking taylor expansion of 0.5 in x 0.491 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) (sqrt 0.5)) in x 0.492 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 0.492 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.492 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.492 * [taylor]: Taking taylor expansion of 4.0 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.493 * [taylor]: Taking taylor expansion of p in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.497 * [taylor]: Taking taylor expansion of 0.5 in x 0.499 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 0.499 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.499 * [taylor]: Taking taylor expansion of 2.0 in p 0.499 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.499 * [taylor]: Taking taylor expansion of 0.5 in p 0.502 * [taylor]: Taking taylor expansion of 0 in p 0.509 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))))) in p 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0)))) in p 0.509 * [taylor]: Taking taylor expansion of 1.0 in p 0.509 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))) in p 0.509 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.509 * [taylor]: Taking taylor expansion of 0.5 in p 0.510 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 2.0)) in p 0.510 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.510 * [taylor]: Taking taylor expansion of p in p 0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.510 * [taylor]: Taking taylor expansion of 2.0 in p 0.526 * [taylor]: Taking taylor expansion of 0 in p 0.528 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) (sqrt 0.5)) in (x p) around 0 0.528 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) (sqrt 0.5)) in p 0.528 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in p 0.528 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.528 * [taylor]: Taking taylor expansion of 1.0 in p 0.528 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.528 * [taylor]: Taking taylor expansion of x in p 0.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.528 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.528 * [taylor]: Taking taylor expansion of x in p 0.528 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.528 * [taylor]: Taking taylor expansion of 4.0 in p 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.528 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.528 * [taylor]: Taking taylor expansion of p in p 0.534 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.534 * [taylor]: Taking taylor expansion of 0.5 in p 0.535 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) (sqrt 0.5)) in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 0.535 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.536 * [taylor]: Taking taylor expansion of 4.0 in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.536 * [taylor]: Taking taylor expansion of p in x 0.548 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.549 * [taylor]: Taking taylor expansion of 0.5 in x 0.549 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) (sqrt 0.5)) in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.550 * [taylor]: Taking taylor expansion of 4.0 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.550 * [taylor]: Taking taylor expansion of p in x 0.566 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.566 * [taylor]: Taking taylor expansion of 0.5 in x 0.568 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (sqrt 0.5)) p) in p 0.568 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 0.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.568 * [taylor]: Taking taylor expansion of 2.0 in p 0.568 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.568 * [taylor]: Taking taylor expansion of 0.5 in p 0.569 * [taylor]: Taking taylor expansion of p in p 0.573 * [taylor]: Taking taylor expansion of 0 in p 0.584 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))))) in p 0.584 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0)))) in p 0.584 * [taylor]: Taking taylor expansion of 3.0 in p 0.584 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))) in p 0.584 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.584 * [taylor]: Taking taylor expansion of 0.5 in p 0.585 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 2.0)) in p 0.585 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.585 * [taylor]: Taking taylor expansion of p in p 0.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.585 * [taylor]: Taking taylor expansion of 2.0 in p 0.601 * * * [progress]: simplifying candidates 0.602 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (exp 1.0) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log1p (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (* x x) x) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- x) (- (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) 1) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt 1)) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 1) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt 1)) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x 1) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (cbrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt 0.5) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 0 0 0 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 0.608 * * [simplify]: iteration 0 : 297 enodes (cost 951 ) 0.613 * * [simplify]: iteration 1 : 884 enodes (cost 898 ) 0.628 * * [simplify]: iteration 2 : 2732 enodes (cost 885 ) 0.673 * * [simplify]: iteration 3 : 5001 enodes (cost 883 ) 0.677 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1 (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (fma (/ x (fma (* 4.0 p) p (* x x))) x (* 1.0 (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log1p (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- x) (- (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (/ (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (cbrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (pow (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 0 0 0 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 0.678 * * * [progress]: adding candidates to table 0.950 * * [progress]: iteration 2 / 4 0.950 * * * [progress]: picking best candidate 0.987 * * * * [pick]: Picked # 0.987 * * * [progress]: localizing error 1.002 * * * [progress]: generating rewritten candidates 1.002 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2 2 2) 1.013 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 1.041 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.042 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 1.057 * * * [progress]: generating series expansions 1.057 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2 2 2) 1.057 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 1.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.057 * [taylor]: Taking taylor expansion of 4.0 in x 1.057 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.057 * [taylor]: Taking taylor expansion of p in x 1.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.058 * [taylor]: Taking taylor expansion of x in p 1.058 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.058 * [taylor]: Taking taylor expansion of 4.0 in p 1.059 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.059 * [taylor]: Taking taylor expansion of p in p 1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.059 * [taylor]: Taking taylor expansion of x in p 1.059 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.059 * [taylor]: Taking taylor expansion of 4.0 in p 1.059 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.059 * [taylor]: Taking taylor expansion of p in p 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of 0 in x 1.062 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 1.062 * [taylor]: Taking taylor expansion of 2.0 in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of 0 in x 1.065 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 1.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.065 * [taylor]: Taking taylor expansion of 4.0 in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.065 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.066 * [taylor]: Taking taylor expansion of p in x 1.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.068 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.068 * [taylor]: Taking taylor expansion of x in p 1.068 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.068 * [taylor]: Taking taylor expansion of 4.0 in p 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.068 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.068 * [taylor]: Taking taylor expansion of p in p 1.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.071 * [taylor]: Taking taylor expansion of x in p 1.071 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.071 * [taylor]: Taking taylor expansion of 4.0 in p 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.071 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.071 * [taylor]: Taking taylor expansion of p in p 1.074 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.074 * [taylor]: Taking taylor expansion of 4.0 in x 1.075 * [taylor]: Taking taylor expansion of 0 in x 1.078 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 1.078 * [taylor]: Taking taylor expansion of 1/2 in x 1.078 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.078 * [taylor]: Taking taylor expansion of 4.0 in x 1.084 * [taylor]: Taking taylor expansion of 0 in x 1.088 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.088 * [taylor]: Taking taylor expansion of 4.0 in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.088 * [taylor]: Taking taylor expansion of p in x 1.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.090 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.090 * [taylor]: Taking taylor expansion of x in p 1.090 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.090 * [taylor]: Taking taylor expansion of 4.0 in p 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.090 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.091 * [taylor]: Taking taylor expansion of p in p 1.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.093 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.093 * [taylor]: Taking taylor expansion of x in p 1.094 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.094 * [taylor]: Taking taylor expansion of 4.0 in p 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.094 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.094 * [taylor]: Taking taylor expansion of p in p 1.097 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.097 * [taylor]: Taking taylor expansion of 4.0 in x 1.097 * [taylor]: Taking taylor expansion of 0 in x 1.104 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 1.104 * [taylor]: Taking taylor expansion of 1/2 in x 1.104 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.104 * [taylor]: Taking taylor expansion of 4.0 in x 1.110 * [taylor]: Taking taylor expansion of 0 in x 1.113 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 1.114 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 1.114 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 1.114 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.114 * [taylor]: Taking taylor expansion of x in p 1.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.114 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.114 * [taylor]: Taking taylor expansion of x in p 1.114 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.114 * [taylor]: Taking taylor expansion of 4.0 in p 1.114 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.114 * [taylor]: Taking taylor expansion of p in p 1.115 * [taylor]: Taking taylor expansion of 1.0 in p 1.115 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.115 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.115 * [taylor]: Taking taylor expansion of 4.0 in x 1.115 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.115 * [taylor]: Taking taylor expansion of p in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.116 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.116 * [taylor]: Taking taylor expansion of 4.0 in x 1.116 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.116 * [taylor]: Taking taylor expansion of p in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in p 1.119 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.119 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.119 * [taylor]: Taking taylor expansion of 0.25 in p 1.119 * [taylor]: Taking taylor expansion of p in p 1.124 * [taylor]: Taking taylor expansion of 0 in p 1.130 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 1.130 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 1.130 * [taylor]: Taking taylor expansion of 0.03125 in p 1.130 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 1.130 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 1.130 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.130 * [taylor]: Taking taylor expansion of p in p 1.130 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.130 * [taylor]: Taking taylor expansion of 0.25 in p 1.142 * [approximate]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in (x p) around 0 1.142 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.142 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.142 * [taylor]: Taking taylor expansion of x in p 1.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.142 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.142 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.142 * [taylor]: Taking taylor expansion of x in p 1.142 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.142 * [taylor]: Taking taylor expansion of 4.0 in p 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.142 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.142 * [taylor]: Taking taylor expansion of p in p 1.146 * [taylor]: Taking taylor expansion of 1.0 in p 1.146 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.146 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.147 * [taylor]: Taking taylor expansion of 4.0 in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.147 * [taylor]: Taking taylor expansion of p in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.150 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.151 * [taylor]: Taking taylor expansion of 4.0 in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.151 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.151 * [taylor]: Taking taylor expansion of p in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of 2.0 in p 1.155 * [taylor]: Taking taylor expansion of 0 in p 1.158 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.158 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.158 * [taylor]: Taking taylor expansion of 2.0 in p 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.158 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.158 * [taylor]: Taking taylor expansion of p in p 1.166 * [taylor]: Taking taylor expansion of 0 in p 1.166 * [approximate]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 1.166 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.166 * [taylor]: Taking taylor expansion of 1.0 in p 1.166 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.166 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.166 * [taylor]: Taking taylor expansion of x in p 1.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.166 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.166 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.166 * [taylor]: Taking taylor expansion of x in p 1.166 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.166 * [taylor]: Taking taylor expansion of 4.0 in p 1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.166 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.166 * [taylor]: Taking taylor expansion of p in p 1.170 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.171 * [taylor]: Taking taylor expansion of 4.0 in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.171 * [taylor]: Taking taylor expansion of p in x 1.174 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.174 * [taylor]: Taking taylor expansion of 1.0 in x 1.174 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.175 * [taylor]: Taking taylor expansion of 4.0 in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.175 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.175 * [taylor]: Taking taylor expansion of p in x 1.178 * [taylor]: Taking taylor expansion of 0 in p 1.179 * [taylor]: Taking taylor expansion of 0 in p 1.186 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.186 * [taylor]: Taking taylor expansion of 2.0 in p 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.186 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.186 * [taylor]: Taking taylor expansion of p in p 1.189 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.189 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in (x p) around 0 1.189 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in p 1.189 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.189 * [taylor]: Taking taylor expansion of 0.5 in p 1.190 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in p 1.190 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 1.190 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.190 * [taylor]: Taking taylor expansion of x in p 1.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.190 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.190 * [taylor]: Taking taylor expansion of x in p 1.190 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.190 * [taylor]: Taking taylor expansion of 4.0 in p 1.190 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.190 * [taylor]: Taking taylor expansion of p in p 1.191 * [taylor]: Taking taylor expansion of 1.0 in p 1.192 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 1.192 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.192 * [taylor]: Taking taylor expansion of 0.5 in x 1.193 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 1.193 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.193 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.193 * [taylor]: Taking taylor expansion of 4.0 in x 1.193 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.193 * [taylor]: Taking taylor expansion of p in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 1.197 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.197 * [taylor]: Taking taylor expansion of 0.5 in x 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 1.197 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.197 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.198 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.198 * [taylor]: Taking taylor expansion of 4.0 in x 1.198 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.198 * [taylor]: Taking taylor expansion of p in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.202 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in p 1.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.202 * [taylor]: Taking taylor expansion of 1.0 in p 1.203 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.203 * [taylor]: Taking taylor expansion of 0.5 in p 1.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0)))) in p 1.206 * [taylor]: Taking taylor expansion of 1/2 in p 1.206 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0))) in p 1.206 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 0.5)) in p 1.206 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.206 * [taylor]: Taking taylor expansion of 0.25 in p 1.207 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.207 * [taylor]: Taking taylor expansion of 0.5 in p 1.208 * [taylor]: Taking taylor expansion of (* p (sqrt 1.0)) in p 1.208 * [taylor]: Taking taylor expansion of p in p 1.208 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.208 * [taylor]: Taking taylor expansion of 1.0 in p 1.224 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))))) in p 1.224 * [taylor]: Taking taylor expansion of (* 1/8 (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3)))) in p 1.224 * [taylor]: Taking taylor expansion of 1/8 in p 1.224 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))) in p 1.224 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 2) (sqrt 0.5)) in p 1.224 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 2) in p 1.224 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.224 * [taylor]: Taking taylor expansion of 0.25 in p 1.225 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.225 * [taylor]: Taking taylor expansion of 0.5 in p 1.225 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 1.0) 3)) in p 1.225 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.225 * [taylor]: Taking taylor expansion of p in p 1.225 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in p 1.225 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.225 * [taylor]: Taking taylor expansion of 1.0 in p 1.268 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5)))) (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))))) in p 1.269 * [taylor]: Taking taylor expansion of (* 1/16 (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5)))) in p 1.269 * [taylor]: Taking taylor expansion of 1/16 in p 1.269 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5))) in p 1.269 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 3) (sqrt 0.5)) in p 1.269 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 3) in p 1.269 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.269 * [taylor]: Taking taylor expansion of 0.25 in p 1.269 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.269 * [taylor]: Taking taylor expansion of 0.5 in p 1.270 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 1.0) 5)) in p 1.270 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.270 * [taylor]: Taking taylor expansion of p in p 1.270 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in p 1.270 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.270 * [taylor]: Taking taylor expansion of 1.0 in p 1.281 * [taylor]: Taking taylor expansion of (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))))) in p 1.281 * [taylor]: Taking taylor expansion of 0.015625 in p 1.281 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))) in p 1.281 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.281 * [taylor]: Taking taylor expansion of 0.5 in p 1.282 * [taylor]: Taking taylor expansion of (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))) in p 1.282 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.282 * [taylor]: Taking taylor expansion of p in p 1.282 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 1.0)) in p 1.282 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.282 * [taylor]: Taking taylor expansion of 0.25 in p 1.283 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.283 * [taylor]: Taking taylor expansion of 1.0 in p 1.328 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) (sqrt 0.5)) in (x p) around 0 1.328 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) (sqrt 0.5)) in p 1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in p 1.328 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.328 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.328 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.328 * [taylor]: Taking taylor expansion of x in p 1.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.328 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.328 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.328 * [taylor]: Taking taylor expansion of x in p 1.329 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.329 * [taylor]: Taking taylor expansion of 4.0 in p 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.329 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.329 * [taylor]: Taking taylor expansion of p in p 1.332 * [taylor]: Taking taylor expansion of 1.0 in p 1.334 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.334 * [taylor]: Taking taylor expansion of 0.5 in p 1.335 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) (sqrt 0.5)) in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 1.335 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.335 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.336 * [taylor]: Taking taylor expansion of 4.0 in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.336 * [taylor]: Taking taylor expansion of p in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.341 * [taylor]: Taking taylor expansion of 0.5 in x 1.342 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) (sqrt 0.5)) in x 1.342 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 1.342 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.342 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.343 * [taylor]: Taking taylor expansion of 4.0 in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.343 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.343 * [taylor]: Taking taylor expansion of p in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.351 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.351 * [taylor]: Taking taylor expansion of 0.5 in x 1.352 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 1.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.352 * [taylor]: Taking taylor expansion of 2.0 in p 1.353 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.353 * [taylor]: Taking taylor expansion of 0.5 in p 1.356 * [taylor]: Taking taylor expansion of 0 in p 1.363 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))))) in p 1.363 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0)))) in p 1.363 * [taylor]: Taking taylor expansion of 1.0 in p 1.363 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))) in p 1.363 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.363 * [taylor]: Taking taylor expansion of 0.5 in p 1.363 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 2.0)) in p 1.363 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.363 * [taylor]: Taking taylor expansion of p in p 1.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.363 * [taylor]: Taking taylor expansion of 2.0 in p 1.380 * [taylor]: Taking taylor expansion of 0 in p 1.381 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) (sqrt 0.5)) in (x p) around 0 1.381 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) (sqrt 0.5)) in p 1.381 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in p 1.381 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.381 * [taylor]: Taking taylor expansion of 1.0 in p 1.381 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.381 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.381 * [taylor]: Taking taylor expansion of x in p 1.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.381 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.381 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.381 * [taylor]: Taking taylor expansion of x in p 1.381 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.381 * [taylor]: Taking taylor expansion of 4.0 in p 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.381 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.381 * [taylor]: Taking taylor expansion of p in p 1.387 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.387 * [taylor]: Taking taylor expansion of 0.5 in p 1.388 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) (sqrt 0.5)) in x 1.388 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 1.388 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.389 * [taylor]: Taking taylor expansion of 4.0 in x 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.389 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.389 * [taylor]: Taking taylor expansion of p in x 1.402 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.402 * [taylor]: Taking taylor expansion of 0.5 in x 1.402 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) (sqrt 0.5)) in x 1.402 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.402 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.403 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.403 * [taylor]: Taking taylor expansion of 4.0 in x 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.403 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.403 * [taylor]: Taking taylor expansion of p in x 1.416 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.416 * [taylor]: Taking taylor expansion of 0.5 in x 1.417 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (sqrt 0.5)) p) in p 1.417 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 1.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.417 * [taylor]: Taking taylor expansion of 2.0 in p 1.418 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.418 * [taylor]: Taking taylor expansion of 0.5 in p 1.419 * [taylor]: Taking taylor expansion of p in p 1.422 * [taylor]: Taking taylor expansion of 0 in p 1.437 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))))) in p 1.437 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0)))) in p 1.437 * [taylor]: Taking taylor expansion of 3.0 in p 1.437 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))) in p 1.437 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.437 * [taylor]: Taking taylor expansion of 0.5 in p 1.438 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 2.0)) in p 1.438 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.438 * [taylor]: Taking taylor expansion of p in p 1.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.438 * [taylor]: Taking taylor expansion of 2.0 in p 1.453 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 1.453 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 1.453 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.453 * [taylor]: Taking taylor expansion of x in p 1.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.453 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.453 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.453 * [taylor]: Taking taylor expansion of x in p 1.453 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.453 * [taylor]: Taking taylor expansion of 4.0 in p 1.453 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.453 * [taylor]: Taking taylor expansion of p in p 1.454 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.454 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.454 * [taylor]: Taking taylor expansion of 4.0 in x 1.454 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.454 * [taylor]: Taking taylor expansion of p in x 1.455 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.456 * [taylor]: Taking taylor expansion of 4.0 in x 1.456 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.456 * [taylor]: Taking taylor expansion of p in x 1.457 * [taylor]: Taking taylor expansion of 0 in p 1.458 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.458 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.458 * [taylor]: Taking taylor expansion of 0.25 in p 1.458 * [taylor]: Taking taylor expansion of p in p 1.463 * [taylor]: Taking taylor expansion of 0 in p 1.464 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 1.464 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.464 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.464 * [taylor]: Taking taylor expansion of x in p 1.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.464 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.464 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.464 * [taylor]: Taking taylor expansion of x in p 1.465 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.465 * [taylor]: Taking taylor expansion of 4.0 in p 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.465 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.465 * [taylor]: Taking taylor expansion of p in p 1.468 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.469 * [taylor]: Taking taylor expansion of 4.0 in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.469 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.469 * [taylor]: Taking taylor expansion of p in x 1.472 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.473 * [taylor]: Taking taylor expansion of 4.0 in x 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.473 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.473 * [taylor]: Taking taylor expansion of p in x 1.476 * [taylor]: Taking taylor expansion of 1 in p 1.476 * [taylor]: Taking taylor expansion of 0 in p 1.480 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.480 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.480 * [taylor]: Taking taylor expansion of 2.0 in p 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.480 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.480 * [taylor]: Taking taylor expansion of p in p 1.484 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 1.484 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.484 * [taylor]: Taking taylor expansion of -1 in p 1.484 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.484 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.484 * [taylor]: Taking taylor expansion of x in p 1.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.484 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.484 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.484 * [taylor]: Taking taylor expansion of x in p 1.484 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.484 * [taylor]: Taking taylor expansion of 4.0 in p 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.485 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.485 * [taylor]: Taking taylor expansion of p in p 1.488 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.488 * [taylor]: Taking taylor expansion of -1 in x 1.488 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.489 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.489 * [taylor]: Taking taylor expansion of 4.0 in x 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.489 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.489 * [taylor]: Taking taylor expansion of p in x 1.492 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.492 * [taylor]: Taking taylor expansion of -1 in x 1.492 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.493 * [taylor]: Taking taylor expansion of 4.0 in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.493 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.493 * [taylor]: Taking taylor expansion of p in x 1.496 * [taylor]: Taking taylor expansion of -1 in p 1.497 * [taylor]: Taking taylor expansion of 0 in p 1.501 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.501 * [taylor]: Taking taylor expansion of 2.0 in p 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.501 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.501 * [taylor]: Taking taylor expansion of p in p 1.505 * * * [progress]: simplifying candidates 1.512 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (exp 1.0) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log1p (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log (* (cbrt (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))))) (log (cbrt (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log (sqrt (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log (sqrt (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log 1) (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (log (exp (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))))) (log (exp (sqrt 0.5))) (log (exp (sqrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log (exp 1)) (log (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (exp (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (* (cbrt (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (cbrt (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))))) (cbrt (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (* (* (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (sqrt (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (sqrt (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (expm1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log1p (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (* x x) x) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- x) (- (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) 1) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt 1)) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 1) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt 1)) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x 1) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (cbrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 0 0 0 1.519 * * [simplify]: iteration 0 : 307 enodes (cost 1011 ) 1.524 * * [simplify]: iteration 1 : 849 enodes (cost 934 ) 1.538 * * [simplify]: iteration 2 : 2470 enodes (cost 921 ) 1.579 * * [simplify]: iteration 3 : 5002 enodes (cost 919 ) 1.583 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1 (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (fma (/ x (fma (* 4.0 p) p (* x x))) x (* 1.0 (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log1p (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (* 2 (log (cbrt (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))))) (log (cbrt (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log (sqrt (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (log (sqrt (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) 0 (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (sqrt 0.5) (sqrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) 1 (log (log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))) (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (pow (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 3) (sqrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (expm1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log1p (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- x) (- (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (/ (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (cbrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 0 0 0 1.584 * * * [progress]: adding candidates to table 1.933 * * [progress]: iteration 3 / 4 1.933 * * * [progress]: picking best candidate 1.989 * * * * [pick]: Picked # 1.989 * * * [progress]: localizing error 2.005 * * * [progress]: generating rewritten candidates 2.005 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 2 2) 2.015 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.117 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 2.144 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2) 2.159 * * * [progress]: generating series expansions 2.159 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 2 2) 2.160 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.160 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.160 * [taylor]: Taking taylor expansion of 4.0 in x 2.160 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.160 * [taylor]: Taking taylor expansion of p in x 2.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.161 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.161 * [taylor]: Taking taylor expansion of x in p 2.161 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.161 * [taylor]: Taking taylor expansion of 4.0 in p 2.161 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.161 * [taylor]: Taking taylor expansion of p in p 2.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.162 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.162 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.162 * [taylor]: Taking taylor expansion of x in p 2.162 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.162 * [taylor]: Taking taylor expansion of 4.0 in p 2.162 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.162 * [taylor]: Taking taylor expansion of p in p 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [taylor]: Taking taylor expansion of 0 in x 2.165 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.165 * [taylor]: Taking taylor expansion of 2.0 in x 2.165 * [taylor]: Taking taylor expansion of x in x 2.167 * [taylor]: Taking taylor expansion of 0 in x 2.168 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.168 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.168 * [taylor]: Taking taylor expansion of 4.0 in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.168 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.168 * [taylor]: Taking taylor expansion of p in x 2.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.171 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.171 * [taylor]: Taking taylor expansion of x in p 2.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.171 * [taylor]: Taking taylor expansion of 4.0 in p 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.171 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.171 * [taylor]: Taking taylor expansion of p in p 2.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.174 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.174 * [taylor]: Taking taylor expansion of x in p 2.174 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.174 * [taylor]: Taking taylor expansion of 4.0 in p 2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.174 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.174 * [taylor]: Taking taylor expansion of p in p 2.177 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.177 * [taylor]: Taking taylor expansion of 4.0 in x 2.178 * [taylor]: Taking taylor expansion of 0 in x 2.181 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.181 * [taylor]: Taking taylor expansion of 1/2 in x 2.181 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.181 * [taylor]: Taking taylor expansion of x in x 2.181 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.181 * [taylor]: Taking taylor expansion of 4.0 in x 2.187 * [taylor]: Taking taylor expansion of 0 in x 2.191 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.191 * [taylor]: Taking taylor expansion of x in x 2.192 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.192 * [taylor]: Taking taylor expansion of 4.0 in x 2.192 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.192 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.192 * [taylor]: Taking taylor expansion of p in x 2.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.194 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.194 * [taylor]: Taking taylor expansion of x in p 2.194 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.194 * [taylor]: Taking taylor expansion of 4.0 in p 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.194 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.194 * [taylor]: Taking taylor expansion of p in p 2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.197 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.197 * [taylor]: Taking taylor expansion of x in p 2.197 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.197 * [taylor]: Taking taylor expansion of 4.0 in p 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.197 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.197 * [taylor]: Taking taylor expansion of p in p 2.200 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.200 * [taylor]: Taking taylor expansion of 4.0 in x 2.201 * [taylor]: Taking taylor expansion of 0 in x 2.204 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.204 * [taylor]: Taking taylor expansion of 1/2 in x 2.204 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.204 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.204 * [taylor]: Taking taylor expansion of 4.0 in x 2.216 * [taylor]: Taking taylor expansion of 0 in x 2.220 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.220 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 2.220 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.220 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.220 * [taylor]: Taking taylor expansion of x in p 2.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.220 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.220 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.220 * [taylor]: Taking taylor expansion of x in p 2.220 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.220 * [taylor]: Taking taylor expansion of 4.0 in p 2.220 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.220 * [taylor]: Taking taylor expansion of p in p 2.221 * [taylor]: Taking taylor expansion of 1.0 in p 2.221 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.221 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.221 * [taylor]: Taking taylor expansion of 4.0 in x 2.221 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.221 * [taylor]: Taking taylor expansion of p in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.223 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.223 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.223 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.223 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.223 * [taylor]: Taking taylor expansion of 4.0 in x 2.223 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.223 * [taylor]: Taking taylor expansion of p in x 2.224 * [taylor]: Taking taylor expansion of 1.0 in x 2.224 * [taylor]: Taking taylor expansion of 1.0 in p 2.225 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.225 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.225 * [taylor]: Taking taylor expansion of 0.25 in p 2.226 * [taylor]: Taking taylor expansion of p in p 2.231 * [taylor]: Taking taylor expansion of 0 in p 2.236 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 2.236 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 2.236 * [taylor]: Taking taylor expansion of 0.03125 in p 2.236 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 2.236 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 2.237 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.237 * [taylor]: Taking taylor expansion of p in p 2.237 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.237 * [taylor]: Taking taylor expansion of 0.25 in p 2.248 * [approximate]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in (x p) around 0 2.248 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 2.248 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.248 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.248 * [taylor]: Taking taylor expansion of x in p 2.248 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.248 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.248 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.248 * [taylor]: Taking taylor expansion of x in p 2.248 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.248 * [taylor]: Taking taylor expansion of 4.0 in p 2.248 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.248 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.248 * [taylor]: Taking taylor expansion of p in p 2.252 * [taylor]: Taking taylor expansion of 1.0 in p 2.252 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.252 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.252 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.253 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.253 * [taylor]: Taking taylor expansion of 4.0 in x 2.253 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.253 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.253 * [taylor]: Taking taylor expansion of p in x 2.256 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.256 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.256 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.256 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.257 * [taylor]: Taking taylor expansion of 4.0 in x 2.257 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.257 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.257 * [taylor]: Taking taylor expansion of p in x 2.260 * [taylor]: Taking taylor expansion of 1.0 in x 2.260 * [taylor]: Taking taylor expansion of 2.0 in p 2.261 * [taylor]: Taking taylor expansion of 0 in p 2.265 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.265 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.265 * [taylor]: Taking taylor expansion of 2.0 in p 2.265 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.265 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.265 * [taylor]: Taking taylor expansion of p in p 2.272 * [taylor]: Taking taylor expansion of 0 in p 2.273 * [approximate]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 2.273 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.273 * [taylor]: Taking taylor expansion of 1.0 in p 2.273 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.273 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.273 * [taylor]: Taking taylor expansion of x in p 2.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.273 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.273 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.273 * [taylor]: Taking taylor expansion of x in p 2.273 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.273 * [taylor]: Taking taylor expansion of 4.0 in p 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.273 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.273 * [taylor]: Taking taylor expansion of p in p 2.277 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.277 * [taylor]: Taking taylor expansion of 1.0 in x 2.277 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.278 * [taylor]: Taking taylor expansion of 4.0 in x 2.278 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.278 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.278 * [taylor]: Taking taylor expansion of p in x 2.281 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.281 * [taylor]: Taking taylor expansion of 1.0 in x 2.281 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.281 * [taylor]: Taking taylor expansion of x in x 2.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.281 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.281 * [taylor]: Taking taylor expansion of x in x 2.281 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.282 * [taylor]: Taking taylor expansion of 4.0 in x 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.282 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.282 * [taylor]: Taking taylor expansion of p in x 2.285 * [taylor]: Taking taylor expansion of 0 in p 2.286 * [taylor]: Taking taylor expansion of 0 in p 2.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.290 * [taylor]: Taking taylor expansion of 2.0 in p 2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.290 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.290 * [taylor]: Taking taylor expansion of p in p 2.293 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 2.293 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 2.293 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.293 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.293 * [taylor]: Taking taylor expansion of x in p 2.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.293 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.293 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.293 * [taylor]: Taking taylor expansion of x in p 2.293 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.293 * [taylor]: Taking taylor expansion of 4.0 in p 2.293 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.293 * [taylor]: Taking taylor expansion of p in p 2.294 * [taylor]: Taking taylor expansion of 1.0 in p 2.294 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.294 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.294 * [taylor]: Taking taylor expansion of x in x 2.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.294 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.294 * [taylor]: Taking taylor expansion of x in x 2.294 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.294 * [taylor]: Taking taylor expansion of 4.0 in x 2.294 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.294 * [taylor]: Taking taylor expansion of p in x 2.295 * [taylor]: Taking taylor expansion of 1.0 in x 2.295 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.295 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.296 * [taylor]: Taking taylor expansion of x in x 2.296 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.296 * [taylor]: Taking taylor expansion of 4.0 in x 2.296 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.296 * [taylor]: Taking taylor expansion of p in x 2.297 * [taylor]: Taking taylor expansion of 1.0 in x 2.297 * [taylor]: Taking taylor expansion of 1.0 in p 2.298 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.298 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.298 * [taylor]: Taking taylor expansion of 0.25 in p 2.304 * [taylor]: Taking taylor expansion of p in p 2.309 * [taylor]: Taking taylor expansion of 0 in p 2.315 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 2.315 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 2.315 * [taylor]: Taking taylor expansion of 0.03125 in p 2.315 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 2.315 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 2.315 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.315 * [taylor]: Taking taylor expansion of p in p 2.315 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.315 * [taylor]: Taking taylor expansion of 0.25 in p 2.326 * [approximate]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in (x p) around 0 2.326 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 2.326 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.326 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.326 * [taylor]: Taking taylor expansion of x in p 2.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.327 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.327 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.327 * [taylor]: Taking taylor expansion of x in p 2.327 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.327 * [taylor]: Taking taylor expansion of 4.0 in p 2.327 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.327 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.327 * [taylor]: Taking taylor expansion of p in p 2.330 * [taylor]: Taking taylor expansion of 1.0 in p 2.330 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.331 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.331 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.331 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.331 * [taylor]: Taking taylor expansion of 4.0 in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.331 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.331 * [taylor]: Taking taylor expansion of p in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.334 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.334 * [taylor]: Taking taylor expansion of x in x 2.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.334 * [taylor]: Taking taylor expansion of x in x 2.335 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.335 * [taylor]: Taking taylor expansion of 4.0 in x 2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.335 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.335 * [taylor]: Taking taylor expansion of p in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of 2.0 in p 2.339 * [taylor]: Taking taylor expansion of 0 in p 2.343 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.343 * [taylor]: Taking taylor expansion of 2.0 in p 2.343 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.343 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.343 * [taylor]: Taking taylor expansion of p in p 2.350 * [taylor]: Taking taylor expansion of 0 in p 2.350 * [approximate]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 2.350 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.350 * [taylor]: Taking taylor expansion of 1.0 in p 2.350 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.350 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.350 * [taylor]: Taking taylor expansion of x in p 2.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.351 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.351 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.351 * [taylor]: Taking taylor expansion of x in p 2.351 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.351 * [taylor]: Taking taylor expansion of 4.0 in p 2.351 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.351 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.351 * [taylor]: Taking taylor expansion of p in p 2.354 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.355 * [taylor]: Taking taylor expansion of 1.0 in x 2.355 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.355 * [taylor]: Taking taylor expansion of 4.0 in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.355 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.355 * [taylor]: Taking taylor expansion of p in x 2.358 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.358 * [taylor]: Taking taylor expansion of 1.0 in x 2.358 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.359 * [taylor]: Taking taylor expansion of x in x 2.359 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.359 * [taylor]: Taking taylor expansion of 4.0 in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.359 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.359 * [taylor]: Taking taylor expansion of p in x 2.362 * [taylor]: Taking taylor expansion of 0 in p 2.364 * [taylor]: Taking taylor expansion of 0 in p 2.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.368 * [taylor]: Taking taylor expansion of 2.0 in p 2.368 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.368 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.368 * [taylor]: Taking taylor expansion of p in p 2.370 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2) 2.371 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 2.371 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.371 * [taylor]: Taking taylor expansion of x in p 2.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.371 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.371 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.371 * [taylor]: Taking taylor expansion of x in p 2.371 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.371 * [taylor]: Taking taylor expansion of 4.0 in p 2.371 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.371 * [taylor]: Taking taylor expansion of p in p 2.372 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.372 * [taylor]: Taking taylor expansion of x in x 2.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.372 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.372 * [taylor]: Taking taylor expansion of x in x 2.372 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.372 * [taylor]: Taking taylor expansion of 4.0 in x 2.372 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.372 * [taylor]: Taking taylor expansion of p in x 2.373 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.373 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.373 * [taylor]: Taking taylor expansion of 4.0 in x 2.373 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.373 * [taylor]: Taking taylor expansion of p in x 2.375 * [taylor]: Taking taylor expansion of 0 in p 2.375 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.375 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.375 * [taylor]: Taking taylor expansion of 0.25 in p 2.376 * [taylor]: Taking taylor expansion of p in p 2.380 * [taylor]: Taking taylor expansion of 0 in p 2.382 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 2.382 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.382 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.382 * [taylor]: Taking taylor expansion of x in p 2.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.382 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.382 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.382 * [taylor]: Taking taylor expansion of x in p 2.382 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.382 * [taylor]: Taking taylor expansion of 4.0 in p 2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.382 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.382 * [taylor]: Taking taylor expansion of p in p 2.391 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.391 * [taylor]: Taking taylor expansion of x in x 2.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.392 * [taylor]: Taking taylor expansion of x in x 2.392 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.392 * [taylor]: Taking taylor expansion of 4.0 in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.392 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.393 * [taylor]: Taking taylor expansion of p in x 2.395 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.396 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.396 * [taylor]: Taking taylor expansion of x in x 2.396 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.396 * [taylor]: Taking taylor expansion of 4.0 in x 2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.396 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.396 * [taylor]: Taking taylor expansion of p in x 2.399 * [taylor]: Taking taylor expansion of 1 in p 2.400 * [taylor]: Taking taylor expansion of 0 in p 2.404 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.404 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.404 * [taylor]: Taking taylor expansion of 2.0 in p 2.404 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.404 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.404 * [taylor]: Taking taylor expansion of p in p 2.408 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 2.408 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.408 * [taylor]: Taking taylor expansion of -1 in p 2.408 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.408 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.408 * [taylor]: Taking taylor expansion of x in p 2.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.408 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.408 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.408 * [taylor]: Taking taylor expansion of x in p 2.409 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.409 * [taylor]: Taking taylor expansion of 4.0 in p 2.409 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.409 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.409 * [taylor]: Taking taylor expansion of p in p 2.412 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.412 * [taylor]: Taking taylor expansion of -1 in x 2.412 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.412 * [taylor]: Taking taylor expansion of x in x 2.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.413 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.413 * [taylor]: Taking taylor expansion of x in x 2.413 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.413 * [taylor]: Taking taylor expansion of 4.0 in x 2.413 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.413 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.413 * [taylor]: Taking taylor expansion of p in x 2.416 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.416 * [taylor]: Taking taylor expansion of -1 in x 2.416 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.416 * [taylor]: Taking taylor expansion of x in x 2.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.417 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.417 * [taylor]: Taking taylor expansion of x in x 2.417 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.417 * [taylor]: Taking taylor expansion of 4.0 in x 2.417 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.417 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.417 * [taylor]: Taking taylor expansion of p in x 2.420 * [taylor]: Taking taylor expansion of -1 in p 2.421 * [taylor]: Taking taylor expansion of 0 in p 2.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.425 * [taylor]: Taking taylor expansion of 2.0 in p 2.425 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.425 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.425 * [taylor]: Taking taylor expansion of p in p 2.429 * * * [progress]: simplifying candidates 2.431 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log1p (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (exp 1.0)) (log (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (* (cbrt (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (log (cbrt (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (sqrt (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (sqrt (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log 1) (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (log (exp (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (log (exp (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (exp 1)) (log (exp 1)) (log (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (cbrt (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (* (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (log (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (exp 1.0) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log1p (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (* x x) x) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- x) (- (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) 1) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt 1)) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 1) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt 1)) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x 1) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (cbrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 1.0 2.0 0 0 0 0 2.438 * * [simplify]: iteration 0 : 286 enodes (cost 956 ) 2.443 * * [simplify]: iteration 1 : 875 enodes (cost 889 ) 2.457 * * [simplify]: iteration 2 : 2480 enodes (cost 876 ) 2.498 * * [simplify]: iteration 3 : 5002 enodes (cost 874 ) 2.502 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1 (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* 2 (log (cbrt (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (log (cbrt (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (sqrt (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (sqrt (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) 0 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) 1 1 (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (fma (/ x (fma (* 4.0 p) p (* x x))) x (* 1.0 (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log1p (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- x) (- (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (/ (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (cbrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 1.0 2.0 0 0 0 0 2.503 * * * [progress]: adding candidates to table 2.852 * * [progress]: iteration 4 / 4 2.852 * * * [progress]: picking best candidate 2.907 * * * * [pick]: Picked # 2.907 * * * [progress]: localizing error 2.925 * * * [progress]: generating rewritten candidates 2.925 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1 2 2 2) 2.939 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 2 2 2) 2.949 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2) 2.974 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2) 3.000 * * * [progress]: generating series expansions 3.000 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1 2 2 2) 3.001 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 3.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.001 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.001 * [taylor]: Taking taylor expansion of x in x 3.001 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.001 * [taylor]: Taking taylor expansion of 4.0 in x 3.001 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.001 * [taylor]: Taking taylor expansion of p in x 3.002 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.002 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.002 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.002 * [taylor]: Taking taylor expansion of x in p 3.002 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.002 * [taylor]: Taking taylor expansion of 4.0 in p 3.002 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.002 * [taylor]: Taking taylor expansion of p in p 3.003 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.003 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.003 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.003 * [taylor]: Taking taylor expansion of x in p 3.003 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.003 * [taylor]: Taking taylor expansion of 4.0 in p 3.003 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.003 * [taylor]: Taking taylor expansion of p in p 3.004 * [taylor]: Taking taylor expansion of x in x 3.004 * [taylor]: Taking taylor expansion of 0 in x 3.006 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 3.006 * [taylor]: Taking taylor expansion of 2.0 in x 3.006 * [taylor]: Taking taylor expansion of x in x 3.008 * [taylor]: Taking taylor expansion of 0 in x 3.009 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.009 * [taylor]: Taking taylor expansion of x in x 3.009 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.009 * [taylor]: Taking taylor expansion of 4.0 in x 3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.009 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.009 * [taylor]: Taking taylor expansion of p in x 3.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.015 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.015 * [taylor]: Taking taylor expansion of x in p 3.015 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.015 * [taylor]: Taking taylor expansion of 4.0 in p 3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.015 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.015 * [taylor]: Taking taylor expansion of p in p 3.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.018 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.018 * [taylor]: Taking taylor expansion of x in p 3.018 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.018 * [taylor]: Taking taylor expansion of 4.0 in p 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.018 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.018 * [taylor]: Taking taylor expansion of p in p 3.021 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.021 * [taylor]: Taking taylor expansion of 4.0 in x 3.022 * [taylor]: Taking taylor expansion of 0 in x 3.025 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.025 * [taylor]: Taking taylor expansion of 1/2 in x 3.025 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.025 * [taylor]: Taking taylor expansion of x in x 3.025 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.025 * [taylor]: Taking taylor expansion of 4.0 in x 3.031 * [taylor]: Taking taylor expansion of 0 in x 3.035 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.035 * [taylor]: Taking taylor expansion of x in x 3.035 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.035 * [taylor]: Taking taylor expansion of 4.0 in x 3.035 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.035 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.035 * [taylor]: Taking taylor expansion of p in x 3.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.037 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.037 * [taylor]: Taking taylor expansion of x in p 3.038 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.038 * [taylor]: Taking taylor expansion of 4.0 in p 3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.038 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.038 * [taylor]: Taking taylor expansion of p in p 3.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.041 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.041 * [taylor]: Taking taylor expansion of x in p 3.041 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.041 * [taylor]: Taking taylor expansion of 4.0 in p 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.041 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.041 * [taylor]: Taking taylor expansion of p in p 3.044 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.044 * [taylor]: Taking taylor expansion of 4.0 in x 3.044 * [taylor]: Taking taylor expansion of 0 in x 3.047 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.047 * [taylor]: Taking taylor expansion of 1/2 in x 3.047 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.047 * [taylor]: Taking taylor expansion of x in x 3.047 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.047 * [taylor]: Taking taylor expansion of 4.0 in x 3.054 * [taylor]: Taking taylor expansion of 0 in x 3.058 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 2 2 2) 3.058 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 3.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.058 * [taylor]: Taking taylor expansion of x in x 3.058 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.058 * [taylor]: Taking taylor expansion of 4.0 in x 3.058 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.058 * [taylor]: Taking taylor expansion of p in x 3.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.059 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.059 * [taylor]: Taking taylor expansion of x in p 3.059 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.059 * [taylor]: Taking taylor expansion of 4.0 in p 3.059 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.059 * [taylor]: Taking taylor expansion of p in p 3.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.060 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.060 * [taylor]: Taking taylor expansion of x in p 3.060 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.060 * [taylor]: Taking taylor expansion of 4.0 in p 3.060 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.060 * [taylor]: Taking taylor expansion of p in p 3.061 * [taylor]: Taking taylor expansion of x in x 3.061 * [taylor]: Taking taylor expansion of 0 in x 3.063 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 3.063 * [taylor]: Taking taylor expansion of 2.0 in x 3.063 * [taylor]: Taking taylor expansion of x in x 3.065 * [taylor]: Taking taylor expansion of 0 in x 3.066 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.066 * [taylor]: Taking taylor expansion of x in x 3.066 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.066 * [taylor]: Taking taylor expansion of 4.0 in x 3.066 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.066 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.066 * [taylor]: Taking taylor expansion of p in x 3.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.068 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.069 * [taylor]: Taking taylor expansion of x in p 3.069 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.069 * [taylor]: Taking taylor expansion of 4.0 in p 3.069 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.069 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.069 * [taylor]: Taking taylor expansion of p in p 3.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.072 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.072 * [taylor]: Taking taylor expansion of x in p 3.072 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.072 * [taylor]: Taking taylor expansion of 4.0 in p 3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.072 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.072 * [taylor]: Taking taylor expansion of p in p 3.075 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.075 * [taylor]: Taking taylor expansion of 4.0 in x 3.076 * [taylor]: Taking taylor expansion of 0 in x 3.078 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.079 * [taylor]: Taking taylor expansion of 1/2 in x 3.079 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.079 * [taylor]: Taking taylor expansion of x in x 3.079 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.079 * [taylor]: Taking taylor expansion of 4.0 in x 3.085 * [taylor]: Taking taylor expansion of 0 in x 3.088 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.088 * [taylor]: Taking taylor expansion of x in x 3.089 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.089 * [taylor]: Taking taylor expansion of 4.0 in x 3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.089 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.089 * [taylor]: Taking taylor expansion of p in x 3.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.091 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.091 * [taylor]: Taking taylor expansion of x in p 3.091 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.091 * [taylor]: Taking taylor expansion of 4.0 in p 3.091 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.091 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.091 * [taylor]: Taking taylor expansion of p in p 3.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.094 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.094 * [taylor]: Taking taylor expansion of x in p 3.094 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.094 * [taylor]: Taking taylor expansion of 4.0 in p 3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.094 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.094 * [taylor]: Taking taylor expansion of p in p 3.103 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.103 * [taylor]: Taking taylor expansion of 4.0 in x 3.103 * [taylor]: Taking taylor expansion of 0 in x 3.106 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.106 * [taylor]: Taking taylor expansion of 1/2 in x 3.106 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.106 * [taylor]: Taking taylor expansion of 4.0 in x 3.113 * [taylor]: Taking taylor expansion of 0 in x 3.116 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2) 3.117 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 3.117 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 3.117 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 3.117 * [taylor]: Taking taylor expansion of x in p 3.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 3.117 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.117 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.117 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.117 * [taylor]: Taking taylor expansion of x in p 3.117 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.117 * [taylor]: Taking taylor expansion of 4.0 in p 3.117 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.117 * [taylor]: Taking taylor expansion of p in p 3.118 * [taylor]: Taking taylor expansion of 1.0 in p 3.118 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 3.118 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 3.118 * [taylor]: Taking taylor expansion of x in x 3.118 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 3.118 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.118 * [taylor]: Taking taylor expansion of x in x 3.118 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.118 * [taylor]: Taking taylor expansion of 4.0 in x 3.118 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.118 * [taylor]: Taking taylor expansion of p in x 3.119 * [taylor]: Taking taylor expansion of 1.0 in x 3.119 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 3.119 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 3.119 * [taylor]: Taking taylor expansion of x in x 3.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 3.119 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.119 * [taylor]: Taking taylor expansion of x in x 3.119 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.119 * [taylor]: Taking taylor expansion of 4.0 in x 3.119 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.119 * [taylor]: Taking taylor expansion of p in x 3.120 * [taylor]: Taking taylor expansion of 1.0 in x 3.121 * [taylor]: Taking taylor expansion of 1.0 in p 3.122 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 3.122 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 3.122 * [taylor]: Taking taylor expansion of 0.25 in p 3.122 * [taylor]: Taking taylor expansion of p in p 3.127 * [taylor]: Taking taylor expansion of 0 in p 3.133 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 3.133 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 3.133 * [taylor]: Taking taylor expansion of 0.03125 in p 3.133 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 3.133 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 3.133 * [taylor]: Taking taylor expansion of (pow p 3) in p 3.133 * [taylor]: Taking taylor expansion of p in p 3.133 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 3.133 * [taylor]: Taking taylor expansion of 0.25 in p 3.144 * [approximate]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in (x p) around 0 3.144 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 3.144 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 3.144 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.144 * [taylor]: Taking taylor expansion of x in p 3.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 3.144 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.144 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.144 * [taylor]: Taking taylor expansion of x in p 3.144 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.144 * [taylor]: Taking taylor expansion of 4.0 in p 3.144 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.144 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.144 * [taylor]: Taking taylor expansion of p in p 3.148 * [taylor]: Taking taylor expansion of 1.0 in p 3.148 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 3.148 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.148 * [taylor]: Taking taylor expansion of x in x 3.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.148 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.148 * [taylor]: Taking taylor expansion of x in x 3.149 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.149 * [taylor]: Taking taylor expansion of 4.0 in x 3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.149 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.149 * [taylor]: Taking taylor expansion of p in x 3.151 * [taylor]: Taking taylor expansion of 1.0 in x 3.151 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 3.151 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.151 * [taylor]: Taking taylor expansion of x in x 3.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.152 * [taylor]: Taking taylor expansion of x in x 3.152 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.152 * [taylor]: Taking taylor expansion of 4.0 in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.152 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.153 * [taylor]: Taking taylor expansion of p in x 3.155 * [taylor]: Taking taylor expansion of 1.0 in x 3.156 * [taylor]: Taking taylor expansion of 2.0 in p 3.157 * [taylor]: Taking taylor expansion of 0 in p 3.160 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 3.160 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 3.160 * [taylor]: Taking taylor expansion of 2.0 in p 3.160 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.160 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.160 * [taylor]: Taking taylor expansion of p in p 3.167 * [taylor]: Taking taylor expansion of 0 in p 3.168 * [approximate]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 3.168 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 3.168 * [taylor]: Taking taylor expansion of 1.0 in p 3.168 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 3.168 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.168 * [taylor]: Taking taylor expansion of x in p 3.168 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 3.168 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.168 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.168 * [taylor]: Taking taylor expansion of x in p 3.168 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.168 * [taylor]: Taking taylor expansion of 4.0 in p 3.168 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.168 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.168 * [taylor]: Taking taylor expansion of p in p 3.172 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 3.172 * [taylor]: Taking taylor expansion of 1.0 in x 3.172 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.172 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.173 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.173 * [taylor]: Taking taylor expansion of 4.0 in x 3.173 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.173 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.173 * [taylor]: Taking taylor expansion of p in x 3.175 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.175 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.176 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.176 * [taylor]: Taking taylor expansion of 4.0 in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.176 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.176 * [taylor]: Taking taylor expansion of p in x 3.179 * [taylor]: Taking taylor expansion of 0 in p 3.186 * [taylor]: Taking taylor expansion of 0 in p 3.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 3.189 * [taylor]: Taking taylor expansion of 2.0 in p 3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.189 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.189 * [taylor]: Taking taylor expansion of p in p 3.192 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2) 3.192 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 3.192 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 3.192 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 3.192 * [taylor]: Taking taylor expansion of x in p 3.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 3.192 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.193 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.193 * [taylor]: Taking taylor expansion of x in p 3.193 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.193 * [taylor]: Taking taylor expansion of 4.0 in p 3.193 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.193 * [taylor]: Taking taylor expansion of p in p 3.193 * [taylor]: Taking taylor expansion of 1.0 in p 3.193 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 3.193 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 3.193 * [taylor]: Taking taylor expansion of x in x 3.193 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 3.193 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.193 * [taylor]: Taking taylor expansion of x in x 3.194 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.194 * [taylor]: Taking taylor expansion of 4.0 in x 3.194 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.194 * [taylor]: Taking taylor expansion of p in x 3.195 * [taylor]: Taking taylor expansion of 1.0 in x 3.195 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 3.195 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 3.195 * [taylor]: Taking taylor expansion of x in x 3.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 3.195 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.195 * [taylor]: Taking taylor expansion of x in x 3.195 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.195 * [taylor]: Taking taylor expansion of 4.0 in x 3.195 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.195 * [taylor]: Taking taylor expansion of p in x 3.196 * [taylor]: Taking taylor expansion of 1.0 in x 3.197 * [taylor]: Taking taylor expansion of 1.0 in p 3.197 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 3.197 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 3.198 * [taylor]: Taking taylor expansion of 0.25 in p 3.198 * [taylor]: Taking taylor expansion of p in p 3.203 * [taylor]: Taking taylor expansion of 0 in p 3.208 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 3.208 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 3.209 * [taylor]: Taking taylor expansion of 0.03125 in p 3.209 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 3.209 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 3.209 * [taylor]: Taking taylor expansion of (pow p 3) in p 3.209 * [taylor]: Taking taylor expansion of p in p 3.209 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 3.209 * [taylor]: Taking taylor expansion of 0.25 in p 3.219 * [approximate]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in (x p) around 0 3.219 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 3.219 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 3.219 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.219 * [taylor]: Taking taylor expansion of x in p 3.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 3.219 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.220 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.220 * [taylor]: Taking taylor expansion of x in p 3.220 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.220 * [taylor]: Taking taylor expansion of 4.0 in p 3.220 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.220 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.220 * [taylor]: Taking taylor expansion of p in p 3.223 * [taylor]: Taking taylor expansion of 1.0 in p 3.223 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 3.223 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.223 * [taylor]: Taking taylor expansion of x in x 3.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.224 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.224 * [taylor]: Taking taylor expansion of x in x 3.224 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.224 * [taylor]: Taking taylor expansion of 4.0 in x 3.224 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.224 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.224 * [taylor]: Taking taylor expansion of p in x 3.227 * [taylor]: Taking taylor expansion of 1.0 in x 3.227 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 3.227 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.227 * [taylor]: Taking taylor expansion of x in x 3.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.227 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.227 * [taylor]: Taking taylor expansion of x in x 3.228 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.228 * [taylor]: Taking taylor expansion of 4.0 in x 3.228 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.228 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.228 * [taylor]: Taking taylor expansion of p in x 3.230 * [taylor]: Taking taylor expansion of 1.0 in x 3.231 * [taylor]: Taking taylor expansion of 2.0 in p 3.232 * [taylor]: Taking taylor expansion of 0 in p 3.235 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 3.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 3.235 * [taylor]: Taking taylor expansion of 2.0 in p 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.235 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.235 * [taylor]: Taking taylor expansion of p in p 3.242 * [taylor]: Taking taylor expansion of 0 in p 3.243 * [approximate]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 3.243 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 3.243 * [taylor]: Taking taylor expansion of 1.0 in p 3.243 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 3.243 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.243 * [taylor]: Taking taylor expansion of x in p 3.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 3.243 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.243 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.243 * [taylor]: Taking taylor expansion of x in p 3.243 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.243 * [taylor]: Taking taylor expansion of 4.0 in p 3.243 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.243 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.243 * [taylor]: Taking taylor expansion of p in p 3.247 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 3.247 * [taylor]: Taking taylor expansion of 1.0 in x 3.247 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.247 * [taylor]: Taking taylor expansion of x in x 3.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.247 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.247 * [taylor]: Taking taylor expansion of x in x 3.248 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.248 * [taylor]: Taking taylor expansion of 4.0 in x 3.248 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.248 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.248 * [taylor]: Taking taylor expansion of p in x 3.250 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 3.250 * [taylor]: Taking taylor expansion of 1.0 in x 3.250 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.250 * [taylor]: Taking taylor expansion of x in x 3.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.251 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.251 * [taylor]: Taking taylor expansion of x in x 3.251 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.251 * [taylor]: Taking taylor expansion of 4.0 in x 3.251 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.251 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.251 * [taylor]: Taking taylor expansion of p in x 3.255 * [taylor]: Taking taylor expansion of 0 in p 3.256 * [taylor]: Taking taylor expansion of 0 in p 3.259 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 3.259 * [taylor]: Taking taylor expansion of 2.0 in p 3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.260 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.260 * [taylor]: Taking taylor expansion of p in p 3.262 * * * [progress]: simplifying candidates 3.263 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (exp 1.0) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (exp 1.0) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 1.0 2.0 0 3.273 * * [simplify]: iteration 0 : 180 enodes (cost 588 ) 3.276 * * [simplify]: iteration 1 : 522 enodes (cost 546 ) 3.285 * * [simplify]: iteration 2 : 1457 enodes (cost 544 ) 3.310 * * [simplify]: iteration 3 : 3954 enodes (cost 542 ) 3.370 * * [simplify]: iteration 4 : 5001 enodes (cost 526 ) 3.373 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (fma 1.0 (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* x x) (fma (* 4.0 p) p (* x x)))) (fma (/ x (fma (* 4.0 p) p (* x x))) (- x) (* 1.0 1.0)) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (fma 1.0 (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* x x) (fma (* 4.0 p) p (* x x)))) (fma (/ x (fma (* 4.0 p) p (* x x))) (- x) (* 1.0 1.0)) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 1.0 2.0 0 3.373 * * * [progress]: adding candidates to table 3.823 * [progress]: [Phase 3 of 3] Extracting. 3.823 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 3.834 * * * [regime-changes]: Trying 7 branch expressions: ((* (* 4.0 p) p) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) x p) 3.834 * * * * [regimes]: Trying to branch on (* (* 4.0 p) p) from (# # # # # # # # # # # #) 3.904 * * * * [regimes]: Trying to branch on (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) from (# # # # # # # # # # # #) 3.978 * * * * [regimes]: Trying to branch on (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) from (# # # # # # # # # # # #) 4.055 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) from (# # # # # # # # # # # #) 4.130 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) from (# # # # # # # # # # # #) 4.207 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 4.285 * * * * [regimes]: Trying to branch on p from (# # # # # # # # # # # #) 4.360 * * * [regime]: Found split indices: #