40.833 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.038 * * [simplify]: iteration 0 : 28 enodes (cost 9 ) 0.039 * * [simplify]: iteration 1 : 40 enodes (cost 9 ) 0.041 * * [simplify]: iteration 2 : 48 enodes (cost 9 ) 0.043 * * [simplify]: iteration 3 : 50 enodes (cost 9 ) 0.044 * * [simplify]: iteration 4 : 52 enodes (cost 9 ) 0.046 * * [simplify]: iteration 5 : 53 enodes (cost 9 ) 0.048 * * [simplify]: iteration 6 : 53 enodes (cost 9 ) 0.048 * [simplify]: Simplified to: (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 2 2) 0.076 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.100 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.126 * * * [progress]: generating series expansions 0.126 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 2 2) 0.126 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.126 * [taylor]: Taking taylor expansion of 4.0 in x 0.126 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.126 * [taylor]: Taking taylor expansion of p in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.127 * [taylor]: Taking taylor expansion of x in p 0.128 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.128 * [taylor]: Taking taylor expansion of 4.0 in p 0.128 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.128 * [taylor]: Taking taylor expansion of p in p 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.128 * [taylor]: Taking taylor expansion of x in p 0.128 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.128 * [taylor]: Taking taylor expansion of 4.0 in p 0.128 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.128 * [taylor]: Taking taylor expansion of p in p 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of 0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.131 * [taylor]: Taking taylor expansion of 2.0 in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of 0 in x 0.134 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.135 * [taylor]: Taking taylor expansion of 4.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.135 * [taylor]: Taking taylor expansion of p in x 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.137 * [taylor]: Taking taylor expansion of x in p 0.137 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.137 * [taylor]: Taking taylor expansion of 4.0 in p 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.137 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.137 * [taylor]: Taking taylor expansion of p in p 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.140 * [taylor]: Taking taylor expansion of x in p 0.143 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.144 * [taylor]: Taking taylor expansion of 4.0 in p 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.144 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.144 * [taylor]: Taking taylor expansion of p in p 0.147 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.147 * [taylor]: Taking taylor expansion of 4.0 in x 0.147 * [taylor]: Taking taylor expansion of 0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.150 * [taylor]: Taking taylor expansion of 1/2 in x 0.150 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.151 * [taylor]: Taking taylor expansion of 4.0 in x 0.157 * [taylor]: Taking taylor expansion of 0 in x 0.160 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.161 * [taylor]: Taking taylor expansion of 4.0 in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.161 * [taylor]: Taking taylor expansion of p in x 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.163 * [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 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.166 * [taylor]: Taking taylor expansion of x in p 0.167 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.167 * [taylor]: Taking taylor expansion of 4.0 in p 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.167 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.167 * [taylor]: Taking taylor expansion of p in p 0.170 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.170 * [taylor]: Taking taylor expansion of 4.0 in x 0.170 * [taylor]: Taking taylor expansion of 0 in x 0.173 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.174 * [taylor]: Taking taylor expansion of 1/2 in x 0.174 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.174 * [taylor]: Taking taylor expansion of 4.0 in x 0.180 * [taylor]: Taking taylor expansion of 0 in x 0.183 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.184 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 0.184 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.184 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.184 * [taylor]: Taking taylor expansion of x in p 0.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.184 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.184 * [taylor]: Taking taylor expansion of x in p 0.184 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.184 * [taylor]: Taking taylor expansion of 4.0 in p 0.184 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.184 * [taylor]: Taking taylor expansion of p in p 0.185 * [taylor]: Taking taylor expansion of 1.0 in p 0.185 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.185 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.185 * [taylor]: Taking taylor expansion of 4.0 in x 0.185 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.185 * [taylor]: Taking taylor expansion of p in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.186 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.186 * [taylor]: Taking taylor expansion of 4.0 in x 0.186 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.186 * [taylor]: Taking taylor expansion of p in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in p 0.189 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.189 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.189 * [taylor]: Taking taylor expansion of 0.25 in p 0.190 * [taylor]: Taking taylor expansion of p in p 0.194 * [taylor]: Taking taylor expansion of 0 in p 0.200 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 0.200 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 0.200 * [taylor]: Taking taylor expansion of 0.03125 in p 0.200 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 0.200 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 0.200 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.200 * [taylor]: Taking taylor expansion of p in p 0.200 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.200 * [taylor]: Taking taylor expansion of 0.25 in p 0.212 * [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 0.212 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.212 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.212 * [taylor]: Taking taylor expansion of x in p 0.212 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.212 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.212 * [taylor]: Taking taylor expansion of x in p 0.212 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.212 * [taylor]: Taking taylor expansion of 4.0 in p 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.212 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.212 * [taylor]: Taking taylor expansion of p in p 0.216 * [taylor]: Taking taylor expansion of 1.0 in p 0.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.216 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.217 * [taylor]: Taking taylor expansion of 4.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.217 * [taylor]: Taking taylor expansion of p in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.219 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.220 * [taylor]: Taking taylor expansion of 4.0 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.220 * [taylor]: Taking taylor expansion of p in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of 2.0 in p 0.224 * [taylor]: Taking taylor expansion of 0 in p 0.231 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.231 * [taylor]: Taking taylor expansion of 2.0 in p 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.231 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.231 * [taylor]: Taking taylor expansion of p in p 0.239 * [taylor]: Taking taylor expansion of 0 in p 0.239 * [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 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.239 * [taylor]: Taking taylor expansion of 1.0 in p 0.239 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.239 * [taylor]: Taking taylor expansion of x in p 0.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.239 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.240 * [taylor]: Taking taylor expansion of x in p 0.240 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.240 * [taylor]: Taking taylor expansion of 4.0 in p 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.240 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.240 * [taylor]: Taking taylor expansion of p in p 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) 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))))))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [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 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.248 * [taylor]: Taking taylor expansion of 4.0 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.248 * [taylor]: Taking taylor expansion of p in x 0.251 * [taylor]: Taking taylor expansion of 0 in p 0.253 * [taylor]: Taking taylor expansion of 0 in p 0.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.256 * [taylor]: Taking taylor expansion of 2.0 in p 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.256 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.256 * [taylor]: Taking taylor expansion of p in p 0.259 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.260 * [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 0.260 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in p 0.260 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.260 * [taylor]: Taking taylor expansion of 0.5 in p 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in p 0.260 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.260 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.260 * [taylor]: Taking taylor expansion of x in p 0.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.260 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 0.261 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.261 * [taylor]: Taking taylor expansion of 4.0 in p 0.261 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.261 * [taylor]: Taking taylor expansion of p in p 0.261 * [taylor]: Taking taylor expansion of 1.0 in p 0.263 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 0.263 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.263 * [taylor]: Taking taylor expansion of 0.5 in x 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 0.263 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.263 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.264 * [taylor]: Taking taylor expansion of 4.0 in x 0.264 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.264 * [taylor]: Taking taylor expansion of p in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 0.267 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.267 * [taylor]: Taking taylor expansion of 0.5 in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 0.268 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.268 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.268 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 0.268 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.268 * [taylor]: Taking taylor expansion of 4.0 in x 0.268 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.268 * [taylor]: Taking taylor expansion of p in x 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in p 0.272 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.272 * [taylor]: Taking taylor expansion of 1.0 in p 0.273 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.273 * [taylor]: Taking taylor expansion of 0.5 in p 0.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0)))) in p 0.277 * [taylor]: Taking taylor expansion of 1/2 in p 0.277 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0))) in p 0.277 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 0.5)) in p 0.277 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.277 * [taylor]: Taking taylor expansion of 0.25 in p 0.277 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.277 * [taylor]: Taking taylor expansion of 0.5 in p 0.278 * [taylor]: Taking taylor expansion of (* p (sqrt 1.0)) in p 0.278 * [taylor]: Taking taylor expansion of p in p 0.278 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.278 * [taylor]: Taking taylor expansion of 1.0 in p 0.295 * [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 0.295 * [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 0.295 * [taylor]: Taking taylor expansion of 1/8 in p 0.295 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))) in p 0.295 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 2) (sqrt 0.5)) in p 0.295 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 2) in p 0.295 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.295 * [taylor]: Taking taylor expansion of 0.25 in p 0.296 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.296 * [taylor]: Taking taylor expansion of 0.5 in p 0.296 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 1.0) 3)) in p 0.297 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.297 * [taylor]: Taking taylor expansion of p in p 0.297 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in p 0.297 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.297 * [taylor]: Taking taylor expansion of 1.0 in p 0.341 * [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 0.341 * [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 0.341 * [taylor]: Taking taylor expansion of 1/16 in p 0.341 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5))) in p 0.341 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 3) (sqrt 0.5)) in p 0.341 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 3) in p 0.341 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.341 * [taylor]: Taking taylor expansion of 0.25 in p 0.342 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.342 * [taylor]: Taking taylor expansion of 0.5 in p 0.342 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 1.0) 5)) in p 0.342 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.342 * [taylor]: Taking taylor expansion of p in p 0.342 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in p 0.342 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.342 * [taylor]: Taking taylor expansion of 1.0 in p 0.354 * [taylor]: Taking taylor expansion of (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))))) in p 0.354 * [taylor]: Taking taylor expansion of 0.015625 in p 0.354 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))) 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 0.355 * [taylor]: Taking taylor expansion of (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))) in p 0.355 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.355 * [taylor]: Taking taylor expansion of p in p 0.355 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 1.0)) in p 0.355 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.355 * [taylor]: Taking taylor expansion of 0.25 in p 0.356 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.356 * [taylor]: Taking taylor expansion of 1.0 in p 0.405 * [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 0.405 * [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 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in p 0.405 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.405 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.405 * [taylor]: Taking taylor expansion of x in p 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.405 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.405 * [taylor]: Taking taylor expansion of x in p 0.405 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.405 * [taylor]: Taking taylor expansion of 4.0 in p 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.405 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.405 * [taylor]: Taking taylor expansion of p in p 0.409 * [taylor]: Taking taylor expansion of 1.0 in p 0.411 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.411 * [taylor]: Taking taylor expansion of 0.5 in p 0.411 * [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 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 0.411 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.411 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.412 * [taylor]: Taking taylor expansion of 4.0 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.412 * [taylor]: Taking taylor expansion of p in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.417 * [taylor]: Taking taylor expansion of 0.5 in x 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 0.418 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.418 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.419 * [taylor]: Taking taylor expansion of 4.0 in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.419 * [taylor]: Taking taylor expansion of p in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.424 * [taylor]: Taking taylor expansion of 0.5 in x 0.425 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 0.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.425 * [taylor]: Taking taylor expansion of 2.0 in p 0.426 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.426 * [taylor]: Taking taylor expansion of 0.5 in p 0.429 * [taylor]: Taking taylor expansion of 0 in p 0.436 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))))) in p 0.436 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0)))) in p 0.436 * [taylor]: Taking taylor expansion of 1.0 in p 0.436 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))) in p 0.436 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.436 * [taylor]: Taking taylor expansion of 0.5 in p 0.436 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 2.0)) in p 0.436 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.436 * [taylor]: Taking taylor expansion of p in p 0.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.437 * [taylor]: Taking taylor expansion of 2.0 in p 0.454 * [taylor]: Taking taylor expansion of 0 in p 0.455 * [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 0.455 * [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 0.455 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in p 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.455 * [taylor]: Taking taylor expansion of 1.0 in p 0.455 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.455 * [taylor]: Taking taylor expansion of x in p 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.455 * [taylor]: Taking taylor expansion of x in p 0.455 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.455 * [taylor]: Taking taylor expansion of 4.0 in p 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.455 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.455 * [taylor]: Taking taylor expansion of p in p 0.461 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.461 * [taylor]: Taking taylor expansion of 0.5 in p 0.462 * [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 0.462 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.463 * [taylor]: Taking taylor expansion of 4.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.463 * [taylor]: Taking taylor expansion of p in x 0.480 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.480 * [taylor]: Taking taylor expansion of 0.5 in x 0.480 * [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 0.481 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.481 * [taylor]: Taking taylor expansion of 4.0 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.482 * [taylor]: Taking taylor expansion of p in x 0.495 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.495 * [taylor]: Taking taylor expansion of 0.5 in x 0.496 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (sqrt 0.5)) p) in p 0.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.496 * [taylor]: Taking taylor expansion of 2.0 in p 0.497 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.497 * [taylor]: Taking taylor expansion of 0.5 in p 0.497 * [taylor]: Taking taylor expansion of p in p 0.501 * [taylor]: Taking taylor expansion of 0 in p 0.512 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))))) in p 0.512 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0)))) in p 0.513 * [taylor]: Taking taylor expansion of 3.0 in p 0.513 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))) in p 0.513 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.513 * [taylor]: Taking taylor expansion of 0.5 in p 0.513 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 2.0)) in p 0.513 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.513 * [taylor]: Taking taylor expansion of p in p 0.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.513 * [taylor]: Taking taylor expansion of 2.0 in p 0.529 * * * [progress]: simplifying candidates 0.530 * [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 (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 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 0.535 * * [simplify]: iteration 0 : 221 enodes (cost 478 ) 0.540 * * [simplify]: iteration 1 : 628 enodes (cost 449 ) 0.552 * * [simplify]: iteration 2 : 1782 enodes (cost 448 ) 0.586 * * [simplify]: iteration 3 : 4860 enodes (cost 447 ) 0.661 * * [simplify]: iteration 4 : 5001 enodes (cost 447 ) 0.663 * [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 (+ 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)))) (- (* 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 (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 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 0.664 * * * [progress]: adding candidates to table 0.839 * * [progress]: iteration 2 / 4 0.839 * * * [progress]: picking best candidate 0.858 * * * * [pick]: Picked # 0.858 * * * [progress]: localizing error 0.874 * * * [progress]: generating rewritten candidates 0.874 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2 2 2) 0.884 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 0.910 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.912 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.939 * * * [progress]: generating series expansions 0.939 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2 2 2) 0.939 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.939 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.939 * [taylor]: Taking taylor expansion of 4.0 in x 0.939 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.939 * [taylor]: Taking taylor expansion of p in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.940 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.940 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.941 * [taylor]: Taking taylor expansion of x in p 0.941 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.941 * [taylor]: Taking taylor expansion of 4.0 in p 0.941 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.941 * [taylor]: Taking taylor expansion of p in p 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.941 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.941 * [taylor]: Taking taylor expansion of x in p 0.941 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.941 * [taylor]: Taking taylor expansion of 4.0 in p 0.941 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.941 * [taylor]: Taking taylor expansion of p in p 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of 0 in x 0.944 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.944 * [taylor]: Taking taylor expansion of 2.0 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of 0 in x 0.947 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.948 * [taylor]: Taking taylor expansion of 4.0 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.948 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.948 * [taylor]: Taking taylor expansion of p in x 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.950 * [taylor]: Taking taylor expansion of x in p 0.950 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.950 * [taylor]: Taking taylor expansion of 4.0 in p 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.950 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.950 * [taylor]: Taking taylor expansion of p in p 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.954 * [taylor]: Taking taylor expansion of x in p 0.954 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.954 * [taylor]: Taking taylor expansion of 4.0 in p 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.954 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.954 * [taylor]: Taking taylor expansion of p in p 0.957 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.957 * [taylor]: Taking taylor expansion of 4.0 in x 0.958 * [taylor]: Taking taylor expansion of 0 in x 0.961 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.961 * [taylor]: Taking taylor expansion of 1/2 in x 0.961 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.961 * [taylor]: Taking taylor expansion of 4.0 in x 0.967 * [taylor]: Taking taylor expansion of 0 in x 0.971 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.971 * [taylor]: Taking taylor expansion of 4.0 in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.971 * [taylor]: Taking taylor expansion of p in x 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.973 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.973 * [taylor]: Taking taylor expansion of x in p 0.974 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.974 * [taylor]: Taking taylor expansion of 4.0 in p 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.974 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.974 * [taylor]: Taking taylor expansion of p in p 0.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.977 * [taylor]: Taking taylor expansion of x in p 0.977 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.977 * [taylor]: Taking taylor expansion of 4.0 in p 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.977 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.977 * [taylor]: Taking taylor expansion of p in p 0.980 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.980 * [taylor]: Taking taylor expansion of 4.0 in x 0.981 * [taylor]: Taking taylor expansion of 0 in x 0.984 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.984 * [taylor]: Taking taylor expansion of 1/2 in x 0.984 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.984 * [taylor]: Taking taylor expansion of 4.0 in x 0.991 * [taylor]: Taking taylor expansion of 0 in x 0.997 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 0.998 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 0.998 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.998 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.998 * [taylor]: Taking taylor expansion of x in p 0.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.998 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.998 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.998 * [taylor]: Taking taylor expansion of x in p 0.998 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.998 * [taylor]: Taking taylor expansion of 4.0 in p 0.998 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.998 * [taylor]: Taking taylor expansion of p in p 0.999 * [taylor]: Taking taylor expansion of 1.0 in p 0.999 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.999 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.999 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.999 * [taylor]: Taking taylor expansion of 4.0 in x 0.999 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.999 * [taylor]: Taking taylor expansion of p in x 1.000 * [taylor]: Taking taylor expansion of 1.0 in x 1.000 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.000 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.000 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.000 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.000 * [taylor]: Taking taylor expansion of 4.0 in x 1.000 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.000 * [taylor]: Taking taylor expansion of p in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in p 1.003 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.003 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.003 * [taylor]: Taking taylor expansion of 0.25 in p 1.004 * [taylor]: Taking taylor expansion of p in p 1.009 * [taylor]: Taking taylor expansion of 0 in p 1.015 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 1.015 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 1.015 * [taylor]: Taking taylor expansion of 0.03125 in p 1.015 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 1.015 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 1.015 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.015 * [taylor]: Taking taylor expansion of p in p 1.015 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.015 * [taylor]: Taking taylor expansion of 0.25 in p 1.026 * [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 1.026 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.026 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.026 * [taylor]: Taking taylor expansion of x in p 1.026 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.026 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.026 * [taylor]: Taking taylor expansion of x in p 1.027 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.027 * [taylor]: Taking taylor expansion of 4.0 in p 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.027 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.027 * [taylor]: Taking taylor expansion of p in p 1.030 * [taylor]: Taking taylor expansion of 1.0 in p 1.030 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.030 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.031 * [taylor]: Taking taylor expansion of 4.0 in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.031 * [taylor]: Taking taylor expansion of p in x 1.034 * [taylor]: Taking taylor expansion of 1.0 in x 1.034 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.034 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.035 * [taylor]: Taking taylor expansion of 4.0 in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.035 * [taylor]: Taking taylor expansion of p in x 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [taylor]: Taking taylor expansion of 2.0 in p 1.039 * [taylor]: Taking taylor expansion of 0 in p 1.043 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.043 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.043 * [taylor]: Taking taylor expansion of 2.0 in p 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.043 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.043 * [taylor]: Taking taylor expansion of p in p 1.051 * [taylor]: Taking taylor expansion of 0 in p 1.051 * [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 1.051 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.051 * [taylor]: Taking taylor expansion of 1.0 in p 1.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.051 * [taylor]: Taking taylor expansion of x in p 1.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.051 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.051 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.051 * [taylor]: Taking taylor expansion of x in p 1.051 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.051 * [taylor]: Taking taylor expansion of 4.0 in p 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.051 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.051 * [taylor]: Taking taylor expansion of p in p 1.055 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.055 * [taylor]: Taking taylor expansion of 1.0 in x 1.055 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.056 * [taylor]: Taking taylor expansion of 4.0 in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.056 * [taylor]: Taking taylor expansion of p in x 1.059 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.060 * [taylor]: Taking taylor expansion of 4.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.060 * [taylor]: Taking taylor expansion of p in x 1.063 * [taylor]: Taking taylor expansion of 0 in p 1.065 * [taylor]: Taking taylor expansion of 0 in p 1.068 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.068 * [taylor]: Taking taylor expansion of 2.0 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 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.071 * [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 1.072 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in p 1.072 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.072 * [taylor]: Taking taylor expansion of 0.5 in p 1.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in p 1.072 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 1.072 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.072 * [taylor]: Taking taylor expansion of x in p 1.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.072 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.072 * [taylor]: Taking taylor expansion of x in p 1.072 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.073 * [taylor]: Taking taylor expansion of 4.0 in p 1.073 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.073 * [taylor]: Taking taylor expansion of p in p 1.073 * [taylor]: Taking taylor expansion of 1.0 in p 1.075 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 1.075 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.075 * [taylor]: Taking taylor expansion of 0.5 in x 1.075 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.075 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.076 * [taylor]: Taking taylor expansion of 4.0 in x 1.076 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.076 * [taylor]: Taking taylor expansion of p in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 1.079 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.080 * [taylor]: Taking taylor expansion of 0.5 in x 1.083 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 1.083 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.083 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.084 * [taylor]: Taking taylor expansion of 4.0 in x 1.084 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.084 * [taylor]: Taking taylor expansion of p in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in p 1.088 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.088 * [taylor]: Taking taylor expansion of 1.0 in p 1.089 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.089 * [taylor]: Taking taylor expansion of 0.5 in p 1.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0)))) in p 1.092 * [taylor]: Taking taylor expansion of 1/2 in p 1.093 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0))) in p 1.093 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 0.5)) in p 1.093 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.093 * [taylor]: Taking taylor expansion of 0.25 in p 1.093 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.093 * [taylor]: Taking taylor expansion of 0.5 in p 1.094 * [taylor]: Taking taylor expansion of (* p (sqrt 1.0)) in p 1.094 * [taylor]: Taking taylor expansion of p in p 1.094 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.094 * [taylor]: Taking taylor expansion of 1.0 in p 1.111 * [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 1.111 * [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 1.111 * [taylor]: Taking taylor expansion of 1/8 in p 1.111 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))) in p 1.112 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 2) (sqrt 0.5)) in p 1.112 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 2) in p 1.112 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.112 * [taylor]: Taking taylor expansion of 0.25 in p 1.112 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.112 * [taylor]: Taking taylor expansion of 0.5 in p 1.113 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 1.0) 3)) in p 1.113 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.113 * [taylor]: Taking taylor expansion of p in p 1.113 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in p 1.113 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.113 * [taylor]: Taking taylor expansion of 1.0 in p 1.153 * [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 1.154 * [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 1.154 * [taylor]: Taking taylor expansion of 1/16 in p 1.154 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5))) in p 1.154 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 3) (sqrt 0.5)) in p 1.154 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 3) in p 1.154 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.154 * [taylor]: Taking taylor expansion of 0.25 in p 1.154 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.154 * [taylor]: Taking taylor expansion of 0.5 in p 1.155 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 1.0) 5)) in p 1.155 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.155 * [taylor]: Taking taylor expansion of p in p 1.155 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in p 1.155 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.155 * [taylor]: Taking taylor expansion of 1.0 in p 1.170 * [taylor]: Taking taylor expansion of (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))))) in p 1.170 * [taylor]: Taking taylor expansion of 0.015625 in p 1.170 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))) in p 1.170 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.170 * [taylor]: Taking taylor expansion of 0.5 in p 1.171 * [taylor]: Taking taylor expansion of (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))) in p 1.171 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.171 * [taylor]: Taking taylor expansion of p in p 1.171 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 1.0)) in p 1.171 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.171 * [taylor]: Taking taylor expansion of 0.25 in p 1.172 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.172 * [taylor]: Taking taylor expansion of 1.0 in p 1.218 * [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 1.218 * [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 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in p 1.218 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.218 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.218 * [taylor]: Taking taylor expansion of x in p 1.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.218 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.218 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.218 * [taylor]: Taking taylor expansion of x in p 1.218 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.218 * [taylor]: Taking taylor expansion of 4.0 in p 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.218 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.218 * [taylor]: Taking taylor expansion of p in p 1.222 * [taylor]: Taking taylor expansion of 1.0 in p 1.224 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.224 * [taylor]: Taking taylor expansion of 0.5 in p 1.225 * [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 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 1.225 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.225 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.226 * [taylor]: Taking taylor expansion of 4.0 in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.226 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.226 * [taylor]: Taking taylor expansion of p in x 1.228 * [taylor]: Taking taylor expansion of 1.0 in x 1.231 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.231 * [taylor]: Taking taylor expansion of 0.5 in x 1.231 * [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 1.231 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 1.231 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.231 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.232 * [taylor]: Taking taylor expansion of 4.0 in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.232 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.232 * [taylor]: Taking taylor expansion of p in x 1.235 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.237 * [taylor]: Taking taylor expansion of 0.5 in x 1.239 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 1.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.239 * [taylor]: Taking taylor expansion of 2.0 in p 1.240 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.240 * [taylor]: Taking taylor expansion of 0.5 in p 1.243 * [taylor]: Taking taylor expansion of 0 in p 1.254 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))))) in p 1.254 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0)))) in p 1.254 * [taylor]: Taking taylor expansion of 1.0 in p 1.254 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))) in p 1.254 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.254 * [taylor]: Taking taylor expansion of 0.5 in p 1.255 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 2.0)) in p 1.255 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.255 * [taylor]: Taking taylor expansion of p in p 1.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.255 * [taylor]: Taking taylor expansion of 2.0 in p 1.273 * [taylor]: Taking taylor expansion of 0 in p 1.274 * [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 1.274 * [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 1.274 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in p 1.274 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.274 * [taylor]: Taking taylor expansion of 1.0 in p 1.274 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.274 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.274 * [taylor]: Taking taylor expansion of x in p 1.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.274 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.274 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.274 * [taylor]: Taking taylor expansion of x in p 1.274 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.274 * [taylor]: Taking taylor expansion of 4.0 in p 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.274 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.274 * [taylor]: Taking taylor expansion of p in p 1.280 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.280 * [taylor]: Taking taylor expansion of 0.5 in p 1.281 * [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 1.281 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 1.281 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.281 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.282 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.282 * [taylor]: Taking taylor expansion of 4.0 in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.282 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.282 * [taylor]: Taking taylor expansion of p in x 1.295 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.296 * [taylor]: Taking taylor expansion of 0.5 in x 1.296 * [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 1.296 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.297 * [taylor]: Taking taylor expansion of 4.0 in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.297 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.297 * [taylor]: Taking taylor expansion of p in x 1.310 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.310 * [taylor]: Taking taylor expansion of 0.5 in x 1.312 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (sqrt 0.5)) p) in p 1.312 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 1.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.312 * [taylor]: Taking taylor expansion of 2.0 in p 1.312 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.312 * [taylor]: Taking taylor expansion of 0.5 in p 1.313 * [taylor]: Taking taylor expansion of p in p 1.317 * [taylor]: Taking taylor expansion of 0 in p 1.329 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))))) in p 1.329 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0)))) in p 1.329 * [taylor]: Taking taylor expansion of 3.0 in p 1.329 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))) in p 1.329 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.329 * [taylor]: Taking taylor expansion of 0.5 in p 1.330 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 2.0)) in p 1.330 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.330 * [taylor]: Taking taylor expansion of p in p 1.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.330 * [taylor]: Taking taylor expansion of 2.0 in p 1.352 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.353 * [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 1.353 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in p 1.353 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.353 * [taylor]: Taking taylor expansion of 0.5 in p 1.354 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in p 1.354 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 1.354 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.354 * [taylor]: Taking taylor expansion of x in p 1.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.354 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.354 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.354 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.354 * [taylor]: Taking taylor expansion of x in p 1.354 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.354 * [taylor]: Taking taylor expansion of 4.0 in p 1.354 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.354 * [taylor]: Taking taylor expansion of p in p 1.355 * [taylor]: Taking taylor expansion of 1.0 in p 1.356 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 1.356 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.356 * [taylor]: Taking taylor expansion of 0.5 in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 1.357 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.357 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.357 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.357 * [taylor]: Taking taylor expansion of 4.0 in x 1.357 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.357 * [taylor]: Taking taylor expansion of p in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.361 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 1.361 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.361 * [taylor]: Taking taylor expansion of 0.5 in x 1.362 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 1.362 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.362 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.362 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.362 * [taylor]: Taking taylor expansion of 4.0 in x 1.362 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.362 * [taylor]: Taking taylor expansion of p in x 1.363 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in p 1.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.367 * [taylor]: Taking taylor expansion of 1.0 in p 1.367 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.367 * [taylor]: Taking taylor expansion of 0.5 in p 1.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0)))) in p 1.371 * [taylor]: Taking taylor expansion of 1/2 in p 1.371 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0))) in p 1.371 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 0.5)) in p 1.371 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.371 * [taylor]: Taking taylor expansion of 0.25 in p 1.372 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.372 * [taylor]: Taking taylor expansion of 0.5 in p 1.372 * [taylor]: Taking taylor expansion of (* p (sqrt 1.0)) in p 1.372 * [taylor]: Taking taylor expansion of p in p 1.372 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.373 * [taylor]: Taking taylor expansion of 1.0 in p 1.390 * [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 1.390 * [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 1.390 * [taylor]: Taking taylor expansion of 1/8 in p 1.390 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))) in p 1.390 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 2) (sqrt 0.5)) in p 1.390 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 2) in p 1.390 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.390 * [taylor]: Taking taylor expansion of 0.25 in p 1.391 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.391 * [taylor]: Taking taylor expansion of 0.5 in p 1.391 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 1.0) 3)) in p 1.392 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.392 * [taylor]: Taking taylor expansion of p in p 1.392 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in p 1.392 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.392 * [taylor]: Taking taylor expansion of 1.0 in p 1.441 * [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 1.441 * [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 1.441 * [taylor]: Taking taylor expansion of 1/16 in p 1.441 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5))) in p 1.441 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 3) (sqrt 0.5)) in p 1.441 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 3) in p 1.441 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.441 * [taylor]: Taking taylor expansion of 0.25 in p 1.442 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.442 * [taylor]: Taking taylor expansion of 0.5 in p 1.443 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 1.0) 5)) in p 1.443 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.443 * [taylor]: Taking taylor expansion of p in p 1.443 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in p 1.443 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.443 * [taylor]: Taking taylor expansion of 1.0 in p 1.455 * [taylor]: Taking taylor expansion of (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))))) in p 1.455 * [taylor]: Taking taylor expansion of 0.015625 in p 1.455 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))) in p 1.455 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.455 * [taylor]: Taking taylor expansion of 0.5 in p 1.456 * [taylor]: Taking taylor expansion of (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))) in p 1.456 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.456 * [taylor]: Taking taylor expansion of p in p 1.456 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 1.0)) in p 1.456 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.456 * [taylor]: Taking taylor expansion of 0.25 in p 1.457 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 1.457 * [taylor]: Taking taylor expansion of 1.0 in p 1.504 * [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 1.504 * [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 1.504 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in p 1.504 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.504 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.504 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.504 * [taylor]: Taking taylor expansion of x in p 1.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.504 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.504 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.504 * [taylor]: Taking taylor expansion of x in p 1.505 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.505 * [taylor]: Taking taylor expansion of 4.0 in p 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.505 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.505 * [taylor]: Taking taylor expansion of p in p 1.514 * [taylor]: Taking taylor expansion of 1.0 in p 1.517 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.517 * [taylor]: Taking taylor expansion of 0.5 in p 1.517 * [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 1.517 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 1.517 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.517 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.517 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.518 * [taylor]: Taking taylor expansion of 4.0 in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.518 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.518 * [taylor]: Taking taylor expansion of p in x 1.521 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.523 * [taylor]: Taking taylor expansion of 0.5 in x 1.524 * [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 1.524 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 1.524 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.524 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.524 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.525 * [taylor]: Taking taylor expansion of 4.0 in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.525 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.525 * [taylor]: Taking taylor expansion of p in x 1.528 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.530 * [taylor]: Taking taylor expansion of 0.5 in x 1.531 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 1.531 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.531 * [taylor]: Taking taylor expansion of 2.0 in p 1.532 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.532 * [taylor]: Taking taylor expansion of 0.5 in p 1.535 * [taylor]: Taking taylor expansion of 0 in p 1.542 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))))) in p 1.542 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0)))) in p 1.542 * [taylor]: Taking taylor expansion of 1.0 in p 1.542 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))) in p 1.542 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.542 * [taylor]: Taking taylor expansion of 0.5 in p 1.543 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 2.0)) in p 1.543 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.543 * [taylor]: Taking taylor expansion of p in p 1.543 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.543 * [taylor]: Taking taylor expansion of 2.0 in p 1.560 * [taylor]: Taking taylor expansion of 0 in p 1.561 * [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 1.562 * [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 1.562 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in p 1.562 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.562 * [taylor]: Taking taylor expansion of 1.0 in p 1.562 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.562 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.562 * [taylor]: Taking taylor expansion of x in p 1.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.562 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.562 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.562 * [taylor]: Taking taylor expansion of x in p 1.562 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.562 * [taylor]: Taking taylor expansion of 4.0 in p 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.562 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.562 * [taylor]: Taking taylor expansion of p in p 1.568 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.568 * [taylor]: Taking taylor expansion of 0.5 in p 1.569 * [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 1.569 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 1.569 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.569 * [taylor]: Taking taylor expansion of 1.0 in x 1.569 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.570 * [taylor]: Taking taylor expansion of 4.0 in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.570 * [taylor]: Taking taylor expansion of p in x 1.583 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.583 * [taylor]: Taking taylor expansion of 0.5 in x 1.584 * [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 1.584 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 1.584 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.584 * [taylor]: Taking taylor expansion of 1.0 in x 1.584 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.584 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.585 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.585 * [taylor]: Taking taylor expansion of 4.0 in x 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.585 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.585 * [taylor]: Taking taylor expansion of p in x 1.604 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.604 * [taylor]: Taking taylor expansion of 0.5 in x 1.606 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (sqrt 0.5)) p) in p 1.606 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 1.606 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.606 * [taylor]: Taking taylor expansion of 2.0 in p 1.607 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.607 * [taylor]: Taking taylor expansion of 0.5 in p 1.607 * [taylor]: Taking taylor expansion of p in p 1.611 * [taylor]: Taking taylor expansion of 0 in p 1.623 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))))) in p 1.623 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0)))) in p 1.623 * [taylor]: Taking taylor expansion of 3.0 in p 1.623 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))) in p 1.623 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 1.623 * [taylor]: Taking taylor expansion of 0.5 in p 1.624 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 2.0)) in p 1.624 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.624 * [taylor]: Taking taylor expansion of p in p 1.624 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 1.624 * [taylor]: Taking taylor expansion of 2.0 in p 1.640 * * * [progress]: simplifying candidates 1.641 * [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 (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 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 1.647 * * [simplify]: iteration 0 : 251 enodes (cost 704 ) 1.651 * * [simplify]: iteration 1 : 672 enodes (cost 655 ) 1.663 * * [simplify]: iteration 2 : 1841 enodes (cost 654 ) 1.699 * * [simplify]: iteration 3 : 4942 enodes (cost 653 ) 1.774 * * [simplify]: iteration 4 : 5001 enodes (cost 653 ) 1.778 * [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 (+ 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)))) (- (* 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 (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)))))))) (* 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 (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 (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 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 (* (sqrt 1.0) (sqrt 0.5)) (* (sqrt 2.0) (sqrt 0.5)) 0 1.778 * * * [progress]: adding candidates to table 2.060 * * [progress]: iteration 3 / 4 2.060 * * * [progress]: picking best candidate 2.093 * * * * [pick]: Picked # 2.093 * * * [progress]: localizing error 2.111 * * * [progress]: generating rewritten candidates 2.111 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1 2 2 2) 2.121 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 2 2 2) 2.130 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2) 2.154 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2) 2.182 * * * [progress]: generating series expansions 2.183 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1 2 2 2) 2.183 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.183 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.183 * [taylor]: Taking taylor expansion of 4.0 in x 2.183 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.183 * [taylor]: Taking taylor expansion of p in x 2.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.184 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.184 * [taylor]: Taking taylor expansion of x in p 2.184 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.184 * [taylor]: Taking taylor expansion of 4.0 in p 2.184 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.184 * [taylor]: Taking taylor expansion of p in p 2.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.185 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.185 * [taylor]: Taking taylor expansion of x in p 2.185 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.185 * [taylor]: Taking taylor expansion of 4.0 in p 2.185 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.185 * [taylor]: Taking taylor expansion of p in p 2.186 * [taylor]: Taking taylor expansion of x in x 2.186 * [taylor]: Taking taylor expansion of 0 in x 2.188 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.188 * [taylor]: Taking taylor expansion of 2.0 in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.190 * [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 2.198 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.198 * [taylor]: Taking taylor expansion of 4.0 in p 2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.198 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.198 * [taylor]: Taking taylor expansion of p in p 2.201 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.201 * [taylor]: Taking taylor expansion of 4.0 in x 2.202 * [taylor]: Taking taylor expansion of 0 in x 2.205 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.205 * [taylor]: Taking taylor expansion of 1/2 in x 2.205 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.205 * [taylor]: Taking taylor expansion of x in x 2.205 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.205 * [taylor]: Taking taylor expansion of 4.0 in x 2.211 * [taylor]: Taking taylor expansion of 0 in x 2.215 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.216 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.216 * [taylor]: Taking taylor expansion of 4.0 in x 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.216 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.216 * [taylor]: Taking taylor expansion of p in x 2.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.218 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.218 * [taylor]: Taking taylor expansion of x in p 2.218 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.218 * [taylor]: Taking taylor expansion of 4.0 in p 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.218 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.218 * [taylor]: Taking taylor expansion of p in p 2.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.221 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.221 * [taylor]: Taking taylor expansion of x in p 2.221 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.221 * [taylor]: Taking taylor expansion of 4.0 in p 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.221 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.221 * [taylor]: Taking taylor expansion of p in p 2.225 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.225 * [taylor]: Taking taylor expansion of 4.0 in x 2.226 * [taylor]: Taking taylor expansion of 0 in x 2.229 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.229 * [taylor]: Taking taylor expansion of 1/2 in x 2.229 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.229 * [taylor]: Taking taylor expansion of x in x 2.229 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.229 * [taylor]: Taking taylor expansion of 4.0 in x 2.235 * [taylor]: Taking taylor expansion of 0 in x 2.239 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 2 2 2) 2.239 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.239 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.239 * [taylor]: Taking taylor expansion of 4.0 in x 2.239 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.239 * [taylor]: Taking taylor expansion of p in x 2.240 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.240 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.240 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.240 * [taylor]: Taking taylor expansion of x in p 2.240 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.240 * [taylor]: Taking taylor expansion of 4.0 in p 2.240 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.240 * [taylor]: Taking taylor expansion of p in p 2.241 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.241 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.241 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.241 * [taylor]: Taking taylor expansion of x in p 2.241 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.241 * [taylor]: Taking taylor expansion of 4.0 in p 2.241 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.241 * [taylor]: Taking taylor expansion of p in p 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of 0 in x 2.244 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.244 * [taylor]: Taking taylor expansion of 2.0 in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.246 * [taylor]: Taking taylor expansion of 0 in x 2.247 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.247 * [taylor]: Taking taylor expansion of x in x 2.248 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.248 * [taylor]: Taking taylor expansion of 4.0 in x 2.248 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.248 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.248 * [taylor]: Taking taylor expansion of p in x 2.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.255 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.255 * [taylor]: Taking taylor expansion of x in p 2.256 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.256 * [taylor]: Taking taylor expansion of 4.0 in p 2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.256 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.256 * [taylor]: Taking taylor expansion of p in p 2.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.259 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.259 * [taylor]: Taking taylor expansion of x in p 2.259 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.259 * [taylor]: Taking taylor expansion of 4.0 in p 2.259 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.259 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.259 * [taylor]: Taking taylor expansion of p in p 2.262 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.262 * [taylor]: Taking taylor expansion of 4.0 in x 2.263 * [taylor]: Taking taylor expansion of 0 in x 2.266 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.266 * [taylor]: Taking taylor expansion of 1/2 in x 2.266 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.266 * [taylor]: Taking taylor expansion of x in x 2.266 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.266 * [taylor]: Taking taylor expansion of 4.0 in x 2.272 * [taylor]: Taking taylor expansion of 0 in x 2.276 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.276 * [taylor]: Taking taylor expansion of x in x 2.276 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.276 * [taylor]: Taking taylor expansion of 4.0 in x 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.276 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.276 * [taylor]: Taking taylor expansion of p in x 2.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.278 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.278 * [taylor]: Taking taylor expansion of x in p 2.278 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.279 * [taylor]: Taking taylor expansion of 4.0 in p 2.279 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.279 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.279 * [taylor]: Taking taylor expansion of p in p 2.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.282 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.282 * [taylor]: Taking taylor expansion of x in p 2.282 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.282 * [taylor]: Taking taylor expansion of 4.0 in p 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.282 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.282 * [taylor]: Taking taylor expansion of p in p 2.285 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.285 * [taylor]: Taking taylor expansion of 4.0 in x 2.286 * [taylor]: Taking taylor expansion of 0 in x 2.289 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.289 * [taylor]: Taking taylor expansion of 1/2 in x 2.289 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.289 * [taylor]: Taking taylor expansion of x in x 2.289 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.289 * [taylor]: Taking taylor expansion of 4.0 in x 2.295 * [taylor]: Taking taylor expansion of 0 in x 2.299 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2) 2.299 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 2.299 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.299 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.299 * [taylor]: Taking taylor expansion of x in p 2.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.299 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.299 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.299 * [taylor]: Taking taylor expansion of x in p 2.299 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.299 * [taylor]: Taking taylor expansion of 4.0 in p 2.299 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.299 * [taylor]: Taking taylor expansion of p in p 2.300 * [taylor]: Taking taylor expansion of 1.0 in p 2.300 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.300 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.300 * [taylor]: Taking taylor expansion of x in x 2.300 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.300 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.300 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.300 * [taylor]: Taking taylor expansion of x in x 2.300 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.300 * [taylor]: Taking taylor expansion of 4.0 in x 2.300 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.300 * [taylor]: Taking taylor expansion of p in x 2.301 * [taylor]: Taking taylor expansion of 1.0 in x 2.301 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.301 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.301 * [taylor]: Taking taylor expansion of x in x 2.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.301 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.302 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.302 * [taylor]: Taking taylor expansion of 4.0 in x 2.302 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.302 * [taylor]: Taking taylor expansion of p in x 2.303 * [taylor]: Taking taylor expansion of 1.0 in x 2.303 * [taylor]: Taking taylor expansion of 1.0 in p 2.304 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.304 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.304 * [taylor]: Taking taylor expansion of 0.25 in p 2.305 * [taylor]: Taking taylor expansion of p in p 2.310 * [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 2.327 * [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 2.331 * [taylor]: Taking taylor expansion of 1.0 in p 2.331 * [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 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.332 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.332 * [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 2.335 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.335 * [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 2.343 * [taylor]: Taking taylor expansion of 1.0 in x 2.344 * [taylor]: Taking taylor expansion of 2.0 in p 2.345 * [taylor]: Taking taylor expansion of 0 in p 2.349 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.349 * [taylor]: Taking taylor expansion of 2.0 in p 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.349 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.349 * [taylor]: Taking taylor expansion of p in p 2.356 * [taylor]: Taking taylor expansion of 0 in p 2.357 * [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 2.357 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.357 * [taylor]: Taking taylor expansion of 1.0 in p 2.357 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.357 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.357 * [taylor]: Taking taylor expansion of x in p 2.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.357 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.357 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.357 * [taylor]: Taking taylor expansion of x in p 2.357 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.357 * [taylor]: Taking taylor expansion of 4.0 in p 2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.357 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.357 * [taylor]: Taking taylor expansion of p in p 2.361 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.362 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.362 * [taylor]: Taking taylor expansion of 4.0 in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.362 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.362 * [taylor]: Taking taylor expansion of p in x 2.364 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.365 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.365 * [taylor]: Taking taylor expansion of 4.0 in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.365 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.365 * [taylor]: Taking taylor expansion of p in x 2.369 * [taylor]: Taking taylor expansion of 0 in p 2.370 * [taylor]: Taking taylor expansion of 0 in p 2.374 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.374 * [taylor]: Taking taylor expansion of 2.0 in p 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.374 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.374 * [taylor]: Taking taylor expansion of p in p 2.377 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2) 2.377 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 2.377 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.377 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.377 * [taylor]: Taking taylor expansion of x in p 2.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.377 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.377 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.377 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.377 * [taylor]: Taking taylor expansion of x in p 2.377 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.377 * [taylor]: Taking taylor expansion of 4.0 in p 2.377 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.377 * [taylor]: Taking taylor expansion of p in p 2.378 * [taylor]: Taking taylor expansion of 1.0 in p 2.378 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.378 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.378 * [taylor]: Taking taylor expansion of 4.0 in x 2.378 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.378 * [taylor]: Taking taylor expansion of p in x 2.379 * [taylor]: Taking taylor expansion of 1.0 in x 2.379 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.379 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.379 * [taylor]: Taking taylor expansion of x in x 2.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.379 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.379 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.380 * [taylor]: Taking taylor expansion of x in x 2.380 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.380 * [taylor]: Taking taylor expansion of 4.0 in x 2.380 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.380 * [taylor]: Taking taylor expansion of p in x 2.381 * [taylor]: Taking taylor expansion of 1.0 in x 2.381 * [taylor]: Taking taylor expansion of 1.0 in p 2.382 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.382 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.382 * [taylor]: Taking taylor expansion of 0.25 in p 2.383 * [taylor]: Taking taylor expansion of p in p 2.388 * [taylor]: Taking taylor expansion of 0 in p 2.393 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 2.393 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 2.393 * [taylor]: Taking taylor expansion of 0.03125 in p 2.393 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 2.393 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 2.393 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.393 * [taylor]: Taking taylor expansion of p in p 2.393 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.393 * [taylor]: Taking taylor expansion of 0.25 in p 2.405 * [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 2.405 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 2.405 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.405 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.405 * [taylor]: Taking taylor expansion of x in p 2.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.405 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.405 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.405 * [taylor]: Taking taylor expansion of x in p 2.405 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.406 * [taylor]: Taking taylor expansion of 4.0 in p 2.406 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.406 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.406 * [taylor]: Taking taylor expansion of p in p 2.409 * [taylor]: Taking taylor expansion of 1.0 in p 2.409 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.410 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.411 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.411 * [taylor]: Taking taylor expansion of 4.0 in x 2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.411 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.411 * [taylor]: Taking taylor expansion of p in x 2.413 * [taylor]: Taking taylor expansion of 1.0 in x 2.413 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.413 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.413 * [taylor]: Taking taylor expansion of x in x 2.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.414 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.414 * [taylor]: Taking taylor expansion of x in x 2.414 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.414 * [taylor]: Taking taylor expansion of 4.0 in x 2.414 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.414 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.414 * [taylor]: Taking taylor expansion of p in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.418 * [taylor]: Taking taylor expansion of 2.0 in p 2.419 * [taylor]: Taking taylor expansion of 0 in p 2.423 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.423 * [taylor]: Taking taylor expansion of 2.0 in p 2.423 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.423 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.423 * [taylor]: Taking taylor expansion of p in p 2.436 * [taylor]: Taking taylor expansion of 0 in p 2.436 * [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 2.436 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.436 * [taylor]: Taking taylor expansion of 1.0 in p 2.436 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.436 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.436 * [taylor]: Taking taylor expansion of x in p 2.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.436 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.436 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.436 * [taylor]: Taking taylor expansion of x in p 2.437 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.437 * [taylor]: Taking taylor expansion of 4.0 in p 2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.437 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.437 * [taylor]: Taking taylor expansion of p in p 2.440 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.440 * [taylor]: Taking taylor expansion of 1.0 in x 2.440 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.440 * [taylor]: Taking taylor expansion of x in x 2.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.441 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.441 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.441 * [taylor]: Taking taylor expansion of 4.0 in x 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.441 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.441 * [taylor]: Taking taylor expansion of p in x 2.444 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.444 * [taylor]: Taking taylor expansion of 1.0 in x 2.444 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.444 * [taylor]: Taking taylor expansion of x in x 2.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.444 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.444 * [taylor]: Taking taylor expansion of x in x 2.445 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.445 * [taylor]: Taking taylor expansion of 4.0 in x 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.445 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.445 * [taylor]: Taking taylor expansion of p in x 2.449 * [taylor]: Taking taylor expansion of 0 in p 2.450 * [taylor]: Taking taylor expansion of 0 in p 2.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.454 * [taylor]: Taking taylor expansion of 2.0 in p 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.454 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.454 * [taylor]: Taking taylor expansion of p in p 2.457 * * * [progress]: simplifying candidates 2.458 * [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 2.463 * * [simplify]: iteration 0 : 180 enodes (cost 590 ) 2.466 * * [simplify]: iteration 1 : 522 enodes (cost 548 ) 2.476 * * [simplify]: iteration 2 : 1457 enodes (cost 546 ) 2.504 * * [simplify]: iteration 3 : 3954 enodes (cost 544 ) 2.566 * * [simplify]: iteration 4 : 5001 enodes (cost 528 ) 2.568 * [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 2.569 * * * [progress]: adding candidates to table 3.051 * * [progress]: iteration 4 / 4 3.051 * * * [progress]: picking best candidate 3.095 * * * * [pick]: Picked # 3.095 * * * [progress]: localizing error 3.125 * * * [progress]: generating rewritten candidates 3.125 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1 2 2 2 2 1) 3.135 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1 2 2 2 1 1) 3.144 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 2 2) 3.154 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 2) 3.180 * * * [progress]: generating series expansions 3.180 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1 2 2 2 2 1) 3.180 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 3.180 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.180 * [taylor]: Taking taylor expansion of 4.0 in x 3.180 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.180 * [taylor]: Taking taylor expansion of p in x 3.182 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.182 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.182 * [taylor]: Taking taylor expansion of x in p 3.182 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.182 * [taylor]: Taking taylor expansion of 4.0 in p 3.182 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.182 * [taylor]: Taking taylor expansion of p in p 3.182 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.183 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.183 * [taylor]: Taking taylor expansion of x in p 3.183 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.183 * [taylor]: Taking taylor expansion of 4.0 in p 3.183 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.183 * [taylor]: Taking taylor expansion of p in p 3.183 * [taylor]: Taking taylor expansion of x in x 3.183 * [taylor]: Taking taylor expansion of 0 in x 3.185 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 3.185 * [taylor]: Taking taylor expansion of 2.0 in x 3.185 * [taylor]: Taking taylor expansion of x in x 3.188 * [taylor]: Taking taylor expansion of 0 in x 3.188 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.189 * [taylor]: Taking taylor expansion of x in x 3.189 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.189 * [taylor]: Taking taylor expansion of 4.0 in x 3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.189 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.189 * [taylor]: Taking taylor expansion of p in x 3.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.191 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.191 * [taylor]: Taking taylor expansion of x in p 3.192 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.192 * [taylor]: Taking taylor expansion of 4.0 in p 3.192 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.192 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.192 * [taylor]: Taking taylor expansion of p in p 3.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.195 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.195 * [taylor]: Taking taylor expansion of x in p 3.195 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.195 * [taylor]: Taking taylor expansion of 4.0 in p 3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.195 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.195 * [taylor]: Taking taylor expansion of p in p 3.198 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.198 * [taylor]: Taking taylor expansion of 4.0 in x 3.199 * [taylor]: Taking taylor expansion of 0 in x 3.202 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.202 * [taylor]: Taking taylor expansion of 1/2 in x 3.202 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.202 * [taylor]: Taking taylor expansion of x in x 3.202 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.202 * [taylor]: Taking taylor expansion of 4.0 in x 3.208 * [taylor]: Taking taylor expansion of 0 in x 3.212 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.212 * [taylor]: Taking taylor expansion of x in x 3.212 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.212 * [taylor]: Taking taylor expansion of 4.0 in x 3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.212 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.212 * [taylor]: Taking taylor expansion of p in x 3.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.214 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.214 * [taylor]: Taking taylor expansion of x in p 3.214 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.214 * [taylor]: Taking taylor expansion of 4.0 in p 3.214 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.214 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.215 * [taylor]: Taking taylor expansion of p in p 3.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.218 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.218 * [taylor]: Taking taylor expansion of x in p 3.218 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.218 * [taylor]: Taking taylor expansion of 4.0 in p 3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.218 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.218 * [taylor]: Taking taylor expansion of p in p 3.221 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.221 * [taylor]: Taking taylor expansion of 4.0 in x 3.221 * [taylor]: Taking taylor expansion of 0 in x 3.224 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.224 * [taylor]: Taking taylor expansion of 1/2 in x 3.224 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) 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 (sqrt 4.0) in x 3.224 * [taylor]: Taking taylor expansion of 4.0 in x 3.231 * [taylor]: Taking taylor expansion of 0 in x 3.234 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1 2 2 2 1 1) 3.234 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 3.234 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.234 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.234 * [taylor]: Taking taylor expansion of x in x 3.234 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.234 * [taylor]: Taking taylor expansion of 4.0 in x 3.234 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.234 * [taylor]: Taking taylor expansion of p in x 3.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.235 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.235 * [taylor]: Taking taylor expansion of x in p 3.236 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.236 * [taylor]: Taking taylor expansion of 4.0 in p 3.236 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.236 * [taylor]: Taking taylor expansion of p in p 3.236 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.236 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.236 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.236 * [taylor]: Taking taylor expansion of x in p 3.236 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.236 * [taylor]: Taking taylor expansion of 4.0 in p 3.236 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.236 * [taylor]: Taking taylor expansion of p in p 3.237 * [taylor]: Taking taylor expansion of x in x 3.237 * [taylor]: Taking taylor expansion of 0 in x 3.239 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 3.239 * [taylor]: Taking taylor expansion of 2.0 in x 3.239 * [taylor]: Taking taylor expansion of x in x 3.241 * [taylor]: Taking taylor expansion of 0 in x 3.242 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.242 * [taylor]: Taking taylor expansion of x in x 3.243 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.243 * [taylor]: Taking taylor expansion of 4.0 in x 3.243 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.243 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.243 * [taylor]: Taking taylor expansion of p in x 3.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.245 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.245 * [taylor]: Taking taylor expansion of x in p 3.245 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.245 * [taylor]: Taking taylor expansion of 4.0 in p 3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.245 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.245 * [taylor]: Taking taylor expansion of p in p 3.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.253 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.253 * [taylor]: Taking taylor expansion of x in p 3.253 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.253 * [taylor]: Taking taylor expansion of 4.0 in p 3.253 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.253 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.253 * [taylor]: Taking taylor expansion of p in p 3.256 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.256 * [taylor]: Taking taylor expansion of 4.0 in x 3.257 * [taylor]: Taking taylor expansion of 0 in x 3.260 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.260 * [taylor]: Taking taylor expansion of 1/2 in x 3.260 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.260 * [taylor]: Taking taylor expansion of x in x 3.260 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.260 * [taylor]: Taking taylor expansion of 4.0 in x 3.267 * [taylor]: Taking taylor expansion of 0 in x 3.270 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.270 * [taylor]: Taking taylor expansion of x in x 3.271 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.271 * [taylor]: Taking taylor expansion of 4.0 in x 3.271 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.271 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.271 * [taylor]: Taking taylor expansion of p in x 3.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.273 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.273 * [taylor]: Taking taylor expansion of x in p 3.273 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.273 * [taylor]: Taking taylor expansion of 4.0 in p 3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.273 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.273 * [taylor]: Taking taylor expansion of p in p 3.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.276 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.276 * [taylor]: Taking taylor expansion of x in p 3.276 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.276 * [taylor]: Taking taylor expansion of 4.0 in p 3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.277 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.277 * [taylor]: Taking taylor expansion of p in p 3.280 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.280 * [taylor]: Taking taylor expansion of 4.0 in x 3.280 * [taylor]: Taking taylor expansion of 0 in x 3.283 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.283 * [taylor]: Taking taylor expansion of 1/2 in x 3.283 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.283 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.283 * [taylor]: Taking taylor expansion of 4.0 in x 3.290 * [taylor]: Taking taylor expansion of 0 in x 3.294 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 2 2) 3.294 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 3.294 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.294 * [taylor]: Taking taylor expansion of x in x 3.294 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.294 * [taylor]: Taking taylor expansion of 4.0 in x 3.294 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.294 * [taylor]: Taking taylor expansion of p in x 3.295 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.295 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.295 * [taylor]: Taking taylor expansion of x in p 3.295 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.295 * [taylor]: Taking taylor expansion of 4.0 in p 3.295 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.295 * [taylor]: Taking taylor expansion of p in p 3.296 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.296 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.296 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.296 * [taylor]: Taking taylor expansion of x in p 3.296 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.296 * [taylor]: Taking taylor expansion of 4.0 in p 3.296 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.296 * [taylor]: Taking taylor expansion of p in p 3.296 * [taylor]: Taking taylor expansion of x in x 3.297 * [taylor]: Taking taylor expansion of 0 in x 3.298 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 3.298 * [taylor]: Taking taylor expansion of 2.0 in x 3.299 * [taylor]: Taking taylor expansion of x in x 3.301 * [taylor]: Taking taylor expansion of 0 in x 3.302 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.302 * [taylor]: Taking taylor expansion of x in x 3.302 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.302 * [taylor]: Taking taylor expansion of 4.0 in x 3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.302 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.302 * [taylor]: Taking taylor expansion of p in x 3.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.304 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.304 * [taylor]: Taking taylor expansion of x in p 3.305 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.305 * [taylor]: Taking taylor expansion of 4.0 in p 3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.305 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.305 * [taylor]: Taking taylor expansion of p in p 3.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.308 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.308 * [taylor]: Taking taylor expansion of x in p 3.308 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.308 * [taylor]: Taking taylor expansion of 4.0 in p 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.308 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.308 * [taylor]: Taking taylor expansion of p in p 3.311 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.311 * [taylor]: Taking taylor expansion of 4.0 in x 3.312 * [taylor]: Taking taylor expansion of 0 in x 3.316 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.316 * [taylor]: Taking taylor expansion of 1/2 in x 3.316 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.316 * [taylor]: Taking taylor expansion of 4.0 in x 3.322 * [taylor]: Taking taylor expansion of 0 in x 3.326 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.326 * [taylor]: Taking taylor expansion of x in x 3.327 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.327 * [taylor]: Taking taylor expansion of 4.0 in x 3.327 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.327 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.327 * [taylor]: Taking taylor expansion of p in x 3.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.329 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.329 * [taylor]: Taking taylor expansion of x in p 3.329 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.329 * [taylor]: Taking taylor expansion of 4.0 in p 3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.329 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.329 * [taylor]: Taking taylor expansion of p in p 3.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.333 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.333 * [taylor]: Taking taylor expansion of x in p 3.333 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.333 * [taylor]: Taking taylor expansion of 4.0 in p 3.333 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.333 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.333 * [taylor]: Taking taylor expansion of p in p 3.343 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.343 * [taylor]: Taking taylor expansion of 4.0 in x 3.344 * [taylor]: Taking taylor expansion of 0 in x 3.347 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.347 * [taylor]: Taking taylor expansion of 1/2 in x 3.347 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.347 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.347 * [taylor]: Taking taylor expansion of 4.0 in x 3.353 * [taylor]: Taking taylor expansion of 0 in x 3.357 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 2) 3.357 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 3.357 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 3.357 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 3.357 * [taylor]: Taking taylor expansion of x in p 3.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 3.357 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.357 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.357 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.357 * [taylor]: Taking taylor expansion of x in p 3.357 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.357 * [taylor]: Taking taylor expansion of 4.0 in p 3.357 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.357 * [taylor]: Taking taylor expansion of p in p 3.358 * [taylor]: Taking taylor expansion of 1.0 in p 3.358 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 3.358 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 3.358 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.358 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.358 * [taylor]: Taking taylor expansion of 4.0 in x 3.358 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.358 * [taylor]: Taking taylor expansion of p in x 3.360 * [taylor]: Taking taylor expansion of 1.0 in x 3.360 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 3.360 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 3.360 * [taylor]: Taking taylor expansion of x in x 3.360 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 3.360 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.360 * [taylor]: Taking taylor expansion of x in x 3.360 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.360 * [taylor]: Taking taylor expansion of 4.0 in x 3.360 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.360 * [taylor]: Taking taylor expansion of p in x 3.361 * [taylor]: Taking taylor expansion of 1.0 in x 3.362 * [taylor]: Taking taylor expansion of 1.0 in p 3.363 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 3.363 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 3.363 * [taylor]: Taking taylor expansion of 0.25 in p 3.363 * [taylor]: Taking taylor expansion of p in p 3.368 * [taylor]: Taking taylor expansion of 0 in p 3.374 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 3.374 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 3.374 * [taylor]: Taking taylor expansion of 0.03125 in p 3.374 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 3.374 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 3.374 * [taylor]: Taking taylor expansion of (pow p 3) in p 3.374 * [taylor]: Taking taylor expansion of p in p 3.374 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 3.374 * [taylor]: Taking taylor expansion of 0.25 in p 3.385 * [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 3.385 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 3.385 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 3.385 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.385 * [taylor]: Taking taylor expansion of x in p 3.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 3.386 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.386 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.386 * [taylor]: Taking taylor expansion of x in p 3.386 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.386 * [taylor]: Taking taylor expansion of 4.0 in p 3.386 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.386 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.386 * [taylor]: Taking taylor expansion of p in p 3.390 * [taylor]: Taking taylor expansion of 1.0 in p 3.390 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 3.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.390 * [taylor]: Taking taylor expansion of x in x 3.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.390 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.390 * [taylor]: Taking taylor expansion of x in x 3.390 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.391 * [taylor]: Taking taylor expansion of 4.0 in x 3.391 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.391 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.391 * [taylor]: Taking taylor expansion of p in x 3.393 * [taylor]: Taking taylor expansion of 1.0 in x 3.393 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 3.393 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.393 * [taylor]: Taking taylor expansion of x in x 3.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.394 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.394 * [taylor]: Taking taylor expansion of x in x 3.394 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.394 * [taylor]: Taking taylor expansion of 4.0 in x 3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.394 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.394 * [taylor]: Taking taylor expansion of p in x 3.397 * [taylor]: Taking taylor expansion of 1.0 in x 3.398 * [taylor]: Taking taylor expansion of 2.0 in p 3.399 * [taylor]: Taking taylor expansion of 0 in p 3.403 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 3.403 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 3.403 * [taylor]: Taking taylor expansion of 2.0 in p 3.403 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.403 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.403 * [taylor]: Taking taylor expansion of p in p 3.410 * [taylor]: Taking taylor expansion of 0 in p 3.411 * [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 3.411 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 3.411 * [taylor]: Taking taylor expansion of 1.0 in p 3.411 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 3.411 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.411 * [taylor]: Taking taylor expansion of x in p 3.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 3.411 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.411 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.411 * [taylor]: Taking taylor expansion of x in p 3.411 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.411 * [taylor]: Taking taylor expansion of 4.0 in p 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.411 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.411 * [taylor]: Taking taylor expansion of p in p 3.415 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 3.415 * [taylor]: Taking taylor expansion of 1.0 in x 3.415 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.415 * [taylor]: Taking taylor expansion of x in x 3.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.415 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.416 * [taylor]: Taking taylor expansion of x in x 3.416 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.416 * [taylor]: Taking taylor expansion of 4.0 in x 3.416 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.416 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.416 * [taylor]: Taking taylor expansion of p in x 3.419 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 3.419 * [taylor]: Taking taylor expansion of 1.0 in x 3.419 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 3.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.419 * [taylor]: Taking taylor expansion of x in x 3.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 3.419 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.419 * [taylor]: Taking taylor expansion of x in x 3.420 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.420 * [taylor]: Taking taylor expansion of 4.0 in x 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.420 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.420 * [taylor]: Taking taylor expansion of p in x 3.423 * [taylor]: Taking taylor expansion of 0 in p 3.424 * [taylor]: Taking taylor expansion of 0 in p 3.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 3.434 * [taylor]: Taking taylor expansion of 2.0 in p 3.434 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.434 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.434 * [taylor]: Taking taylor expansion of p in p 3.437 * * * [progress]: simplifying candidates 3.438 * [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 (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 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log1p (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (exp 1.0) (exp (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (* (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (+ (pow 1.0 3) (pow (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) 3)) (+ (* 1.0 1.0) (- (* (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (- (* 1.0 1.0) (* (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (- 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (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))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 3.444 * * [simplify]: iteration 0 : 183 enodes (cost 726 ) 3.447 * * [simplify]: iteration 1 : 587 enodes (cost 674 ) 3.459 * * [simplify]: iteration 2 : 1882 enodes (cost 648 ) 3.492 * * [simplify]: iteration 3 : 5001 enodes (cost 638 ) 3.495 * [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 (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 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log1p (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (pow (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 3) (sqrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (fma (/ (* x x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (fma (* 4.0 p) p (* x x))) (pow 1.0 3)) (fma 1.0 (+ (/ (- x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1.0) (/ (* x x) (fma (* 4.0 p) p (* x x)))) (fma (- (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (pow (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (* 1.0 1.0)) (+ (/ (- x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1.0) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (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))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 3.496 * * * [progress]: adding candidates to table 4.033 * [progress]: [Phase 3 of 3] Extracting. 4.034 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 4.048 * * * [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) 4.049 * * * * [regimes]: Trying to branch on (* (* 4.0 p) p) from (# # # # # # # # #) 4.111 * * * * [regimes]: Trying to branch on (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) from (# # # # # # # # #) 4.176 * * * * [regimes]: Trying to branch on (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) from (# # # # # # # # #) 4.239 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) from (# # # # # # # # #) 4.304 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) from (# # # # # # # # #) 4.369 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 4.430 * * * * [regimes]: Trying to branch on p from (# # # # # # # # #) 4.491 * * * [regime]: Found split indices: #