16.520 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.039 * * [simplify]: iteration 0 : 28 enodes (cost 9 ) 0.041 * * [simplify]: iteration 1 : 40 enodes (cost 9 ) 0.042 * * [simplify]: iteration 2 : 48 enodes (cost 9 ) 0.044 * * [simplify]: iteration 3 : 50 enodes (cost 9 ) 0.045 * * [simplify]: iteration 4 : 52 enodes (cost 9 ) 0.047 * * [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))))))) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 0.068 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.080 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.093 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 1) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.100 * [taylor]: Taking taylor expansion of 4.0 in x 0.100 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.100 * [taylor]: Taking taylor expansion of p in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.102 * [taylor]: Taking taylor expansion of x in p 0.102 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.102 * [taylor]: Taking taylor expansion of 4.0 in p 0.102 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.102 * [taylor]: Taking taylor expansion of p in p 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.102 * [taylor]: Taking taylor expansion of x in p 0.102 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.102 * [taylor]: Taking taylor expansion of 4.0 in p 0.102 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.102 * [taylor]: Taking taylor expansion of p in p 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 0 in x 0.105 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.105 * [taylor]: Taking taylor expansion of 2.0 in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of 0 in x 0.109 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.109 * [taylor]: Taking taylor expansion of 4.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.109 * [taylor]: Taking taylor expansion of p in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.112 * [taylor]: Taking taylor expansion of x in p 0.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.112 * [taylor]: Taking taylor expansion of 4.0 in p 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.112 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.112 * [taylor]: Taking taylor expansion of p in p 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.115 * [taylor]: Taking taylor expansion of x in p 0.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.115 * [taylor]: Taking taylor expansion of 4.0 in p 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.115 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.115 * [taylor]: Taking taylor expansion of p in p 0.118 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.118 * [taylor]: Taking taylor expansion of 4.0 in x 0.119 * [taylor]: Taking taylor expansion of 0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.122 * [taylor]: Taking taylor expansion of 1/2 in x 0.122 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.122 * [taylor]: Taking taylor expansion of 4.0 in x 0.132 * [taylor]: Taking taylor expansion of 0 in x 0.135 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.136 * [taylor]: Taking taylor expansion of 4.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.136 * [taylor]: Taking taylor expansion of p in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.138 * [taylor]: Taking taylor expansion of x in p 0.138 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.138 * [taylor]: Taking taylor expansion of 4.0 in p 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.138 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.138 * [taylor]: Taking taylor expansion of p in p 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.141 * [taylor]: Taking taylor expansion of x in p 0.141 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.142 * [taylor]: Taking taylor expansion of 4.0 in p 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.142 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.142 * [taylor]: Taking taylor expansion of p in p 0.145 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.145 * [taylor]: Taking taylor expansion of 4.0 in x 0.145 * [taylor]: Taking taylor expansion of 0 in x 0.148 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.148 * [taylor]: Taking taylor expansion of 1/2 in x 0.148 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.148 * [taylor]: Taking taylor expansion of 4.0 in x 0.155 * [taylor]: Taking taylor expansion of 0 in x 0.158 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.158 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 0.158 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.158 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.158 * [taylor]: Taking taylor expansion of x in p 0.158 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.159 * [taylor]: Taking taylor expansion of x in p 0.159 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.159 * [taylor]: Taking taylor expansion of 4.0 in p 0.159 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.159 * [taylor]: Taking taylor expansion of p in p 0.159 * [taylor]: Taking taylor expansion of 1.0 in p 0.159 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.160 * [taylor]: Taking taylor expansion of 4.0 in x 0.160 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.160 * [taylor]: Taking taylor expansion of p in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.161 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 (pow p 2)) in x 0.161 * [taylor]: Taking taylor expansion of 4.0 in x 0.161 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.161 * [taylor]: Taking taylor expansion of p in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in p 0.164 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.164 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.164 * [taylor]: Taking taylor expansion of 0.25 in p 0.165 * [taylor]: Taking taylor expansion of p in p 0.170 * [taylor]: Taking taylor expansion of 0 in p 0.176 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 0.176 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 0.176 * [taylor]: Taking taylor expansion of 0.03125 in p 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 0.176 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 0.176 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.176 * [taylor]: Taking taylor expansion of p in p 0.176 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.176 * [taylor]: Taking taylor expansion of 0.25 in p 0.187 * [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 0.187 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.187 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.187 * [taylor]: Taking taylor expansion of x in p 0.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.187 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.187 * [taylor]: Taking taylor expansion of x in p 0.187 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.187 * [taylor]: Taking taylor expansion of 4.0 in p 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.187 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.187 * [taylor]: Taking taylor expansion of p in p 0.191 * [taylor]: Taking taylor expansion of 1.0 in p 0.191 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.191 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.192 * [taylor]: Taking taylor expansion of 4.0 in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.192 * [taylor]: Taking taylor expansion of p in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.195 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.196 * [taylor]: Taking taylor expansion of 4.0 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.196 * [taylor]: Taking taylor expansion of p in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of 2.0 in p 0.200 * [taylor]: Taking taylor expansion of 0 in p 0.204 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.204 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.204 * [taylor]: Taking taylor expansion of 2.0 in p 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.204 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.204 * [taylor]: Taking taylor expansion of p in p 0.214 * [taylor]: Taking taylor expansion of 0 in p 0.215 * [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 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.215 * [taylor]: Taking taylor expansion of 1.0 in p 0.215 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.215 * [taylor]: Taking taylor expansion of x in p 0.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.215 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.215 * [taylor]: Taking taylor expansion of x in p 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.215 * [taylor]: Taking taylor expansion of 4.0 in p 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.215 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.215 * [taylor]: Taking taylor expansion of p in p 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) 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))))))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [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 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.223 * [taylor]: Taking taylor expansion of 4.0 in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.223 * [taylor]: Taking taylor expansion of p in x 0.227 * [taylor]: Taking taylor expansion of 0 in p 0.229 * [taylor]: Taking taylor expansion of 0 in p 0.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.232 * [taylor]: Taking taylor expansion of 2.0 in p 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.232 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.232 * [taylor]: Taking taylor expansion of p in p 0.235 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.236 * [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 0.236 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in p 0.236 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.236 * [taylor]: Taking taylor expansion of 0.5 in p 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in p 0.236 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.236 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.236 * [taylor]: Taking taylor expansion of x in p 0.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.236 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.236 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.236 * [taylor]: Taking taylor expansion of x in p 0.236 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.236 * [taylor]: Taking taylor expansion of 4.0 in p 0.236 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.237 * [taylor]: Taking taylor expansion of p in p 0.237 * [taylor]: Taking taylor expansion of 1.0 in p 0.239 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 0.239 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.239 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 0.239 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.239 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.239 * [taylor]: Taking taylor expansion of 4.0 in x 0.239 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.239 * [taylor]: Taking taylor expansion of p in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 0.243 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.243 * [taylor]: Taking taylor expansion of 0.5 in x 0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 0.244 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.244 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 (pow p 2)) in x 0.244 * [taylor]: Taking taylor expansion of 4.0 in x 0.244 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.244 * [taylor]: Taking taylor expansion of p in x 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in p 0.249 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.249 * [taylor]: Taking taylor expansion of 1.0 in p 0.249 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.249 * [taylor]: Taking taylor expansion of 0.5 in p 0.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0)))) in p 0.253 * [taylor]: Taking taylor expansion of 1/2 in p 0.253 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0))) in p 0.253 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 0.5)) in p 0.253 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.253 * [taylor]: Taking taylor expansion of 0.25 in p 0.254 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.254 * [taylor]: Taking taylor expansion of 0.5 in p 0.254 * [taylor]: Taking taylor expansion of (* p (sqrt 1.0)) in p 0.254 * [taylor]: Taking taylor expansion of p in p 0.254 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.254 * [taylor]: Taking taylor expansion of 1.0 in p 0.271 * [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 0.271 * [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 0.271 * [taylor]: Taking taylor expansion of 1/8 in p 0.271 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))) in p 0.271 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 2) (sqrt 0.5)) in p 0.271 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 2) in p 0.271 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.271 * [taylor]: Taking taylor expansion of 0.25 in p 0.272 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.272 * [taylor]: Taking taylor expansion of 0.5 in p 0.273 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 1.0) 3)) in p 0.273 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.273 * [taylor]: Taking taylor expansion of p in p 0.273 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in p 0.273 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.273 * [taylor]: Taking taylor expansion of 1.0 in p 0.317 * [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 0.318 * [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 0.318 * [taylor]: Taking taylor expansion of 1/16 in p 0.318 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5))) in p 0.318 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 3) (sqrt 0.5)) in p 0.318 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 3) in p 0.318 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.318 * [taylor]: Taking taylor expansion of 0.25 in p 0.318 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.318 * [taylor]: Taking taylor expansion of 0.5 in p 0.319 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 1.0) 5)) in p 0.319 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.319 * [taylor]: Taking taylor expansion of p in p 0.319 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in p 0.319 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.319 * [taylor]: Taking taylor expansion of 1.0 in p 0.331 * [taylor]: Taking taylor expansion of (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))))) in p 0.331 * [taylor]: Taking taylor expansion of 0.015625 in p 0.331 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))) in p 0.331 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.331 * [taylor]: Taking taylor expansion of 0.5 in p 0.332 * [taylor]: Taking taylor expansion of (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))) in p 0.332 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.332 * [taylor]: Taking taylor expansion of p in p 0.332 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 1.0)) in p 0.332 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.332 * [taylor]: Taking taylor expansion of 0.25 in p 0.332 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.332 * [taylor]: Taking taylor expansion of 1.0 in p 0.382 * [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 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in p 0.382 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.382 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.382 * [taylor]: Taking taylor expansion of x in p 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.382 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.382 * [taylor]: Taking taylor expansion of x in p 0.383 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.383 * [taylor]: Taking taylor expansion of 4.0 in p 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.383 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.383 * [taylor]: Taking taylor expansion of p in p 0.386 * [taylor]: Taking taylor expansion of 1.0 in p 0.388 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.388 * [taylor]: Taking taylor expansion of 0.5 in p 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 0.389 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.389 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.390 * [taylor]: Taking taylor expansion of 4.0 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.390 * [taylor]: Taking taylor expansion of p in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.395 * [taylor]: Taking taylor expansion of 0.5 in x 0.395 * [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 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 0.395 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.396 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.396 * [taylor]: Taking taylor expansion of 4.0 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.396 * [taylor]: Taking taylor expansion of p in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.401 * [taylor]: Taking taylor expansion of 0.5 in x 0.403 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 0.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.403 * [taylor]: Taking taylor expansion of 2.0 in p 0.404 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.404 * [taylor]: Taking taylor expansion of 0.5 in p 0.407 * [taylor]: Taking taylor expansion of 0 in p 0.414 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))))) in p 0.414 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0)))) in p 0.414 * [taylor]: Taking taylor expansion of 1.0 in p 0.414 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))) in p 0.414 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.414 * [taylor]: Taking taylor expansion of 0.5 in p 0.415 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 2.0)) in p 0.415 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.415 * [taylor]: Taking taylor expansion of p in p 0.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.415 * [taylor]: Taking taylor expansion of 2.0 in p 0.432 * [taylor]: Taking taylor expansion of 0 in p 0.433 * [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 0.433 * [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 0.433 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in p 0.433 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.433 * [taylor]: Taking taylor expansion of 1.0 in p 0.433 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.433 * [taylor]: Taking taylor expansion of x in p 0.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.433 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.433 * [taylor]: Taking taylor expansion of x in p 0.433 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.433 * [taylor]: Taking taylor expansion of 4.0 in p 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.433 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.433 * [taylor]: Taking taylor expansion of p in p 0.439 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.439 * [taylor]: Taking taylor expansion of 0.5 in p 0.440 * [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 0.440 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.441 * [taylor]: Taking taylor expansion of 4.0 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.441 * [taylor]: Taking taylor expansion of p in x 0.454 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.454 * [taylor]: Taking taylor expansion of 0.5 in x 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 x 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 x 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.456 * [taylor]: Taking taylor expansion of 4.0 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.456 * [taylor]: Taking taylor expansion of p in x 0.473 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.473 * [taylor]: Taking taylor expansion of 0.5 in x 0.474 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (sqrt 0.5)) p) in p 0.474 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.474 * [taylor]: Taking taylor expansion of 2.0 in p 0.475 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.475 * [taylor]: Taking taylor expansion of 0.5 in p 0.475 * [taylor]: Taking taylor expansion of p in p 0.479 * [taylor]: Taking taylor expansion of 0 in p 0.491 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))))) in p 0.491 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0)))) in p 0.491 * [taylor]: Taking taylor expansion of 3.0 in p 0.491 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))) in p 0.491 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.491 * [taylor]: Taking taylor expansion of 0.5 in p 0.492 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 2.0)) in p 0.492 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.492 * [taylor]: Taking taylor expansion of p in p 0.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 0.492 * [taylor]: Taking taylor expansion of 2.0 in p 0.507 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1) 0.508 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in (p x) around 0 0.508 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.508 * [taylor]: Taking taylor expansion of 4.0 in x 0.508 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.508 * [taylor]: Taking taylor expansion of p in x 0.508 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.508 * [taylor]: Taking taylor expansion of x in p 0.508 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.508 * [taylor]: Taking taylor expansion of 4.0 in p 0.508 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.508 * [taylor]: Taking taylor expansion of p in p 0.508 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.508 * [taylor]: Taking taylor expansion of x in p 0.508 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.508 * [taylor]: Taking taylor expansion of 4.0 in p 0.508 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.508 * [taylor]: Taking taylor expansion of p in p 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 0 in x 0.510 * [taylor]: Taking taylor expansion of 4.0 in x 0.511 * [taylor]: Taking taylor expansion of 0 in x 0.514 * [taylor]: Taking taylor expansion of 0 in x 0.514 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.515 * [taylor]: Taking taylor expansion of 4.0 in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.515 * [taylor]: Taking taylor expansion of p in x 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.515 * [taylor]: Taking taylor expansion of x in p 0.515 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.515 * [taylor]: Taking taylor expansion of 4.0 in p 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.515 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.515 * [taylor]: Taking taylor expansion of p in p 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.516 * [taylor]: Taking taylor expansion of x in p 0.516 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.516 * [taylor]: Taking taylor expansion of 4.0 in p 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.516 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.516 * [taylor]: Taking taylor expansion of p in p 0.517 * [taylor]: Taking taylor expansion of 4.0 in x 0.519 * [taylor]: Taking taylor expansion of 0 in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of 0 in x 0.526 * [taylor]: Taking taylor expansion of 0 in x 0.528 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.528 * [taylor]: Taking taylor expansion of 4.0 in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.529 * [taylor]: Taking taylor expansion of p in x 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.529 * [taylor]: Taking taylor expansion of x in p 0.529 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.529 * [taylor]: Taking taylor expansion of 4.0 in p 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.529 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.529 * [taylor]: Taking taylor expansion of p in p 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.529 * [taylor]: Taking taylor expansion of x in p 0.530 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.530 * [taylor]: Taking taylor expansion of 4.0 in p 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.530 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.530 * [taylor]: Taking taylor expansion of p in p 0.531 * [taylor]: Taking taylor expansion of 4.0 in x 0.532 * [taylor]: Taking taylor expansion of 0 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of 0 in x 0.540 * [taylor]: Taking taylor expansion of 0 in x 0.541 * * * [progress]: simplifying candidates 0.542 * [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)))))))) (expm1 (+ (* (* 4.0 p) p) (* x x))) (log1p (+ (* (* 4.0 p) p) (* x x))) (* (exp (* (* 4.0 p) p)) (exp (* x x))) (log (+ (* (* 4.0 p) p) (* x x))) (exp (+ (* (* 4.0 p) p) (* x x))) (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (+ (* (* 4.0 p) p) (* x x))) (* (* (+ (* (* 4.0 p) p) (* x x)) (+ (* (* 4.0 p) p) (* x x))) (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x))) (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)) (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x)))) (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))) (- (* (* 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 (+ (* 4.0 (pow p 2)) (pow x 2)) (+ (pow x 2) (* 4.0 (pow p 2))) (+ (pow x 2) (* 4.0 (pow p 2))) 0.551 * * [simplify]: iteration 0 : 260 enodes (cost 581 ) 0.556 * * [simplify]: iteration 1 : 922 enodes (cost 542 ) 0.575 * * [simplify]: iteration 2 : 3335 enodes (cost 537 ) 0.640 * * [simplify]: iteration 3 : 5001 enodes (cost 533 ) 0.644 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1 (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (fma 1.0 (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 2) (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)))))))) (expm1 (+ (* (* 4.0 p) p) (* x x))) (log1p (+ (* (* 4.0 p) p) (* x x))) (exp (+ (* (* 4.0 p) p) (* x x))) (log (+ (* (* 4.0 p) p) (* x x))) (exp (+ (* (* 4.0 p) p) (* x x))) (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (+ (* (* 4.0 p) p) (* x x))) (pow (fma (* 4.0 p) p (* x x)) 3) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x))) (fma (pow 4.0 3) (pow (pow p 2) 3) (pow x 6)) (fma (* (* 4.0 p) p) (- (* (* 4.0 p) p) (* x x)) (pow x 4)) (fma 4.0 (* (pow p 4) 4.0) (* (- (pow x 3)) x)) (- (* (* 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 (fma (* 4.0 p) p (* x x)) (fma (* 4.0 p) p (* x x)) (fma (* 4.0 p) p (* x x)) 0.644 * * * [progress]: adding candidates to table 0.867 * * [progress]: iteration 2 / 4 0.867 * * * [progress]: picking best candidate 0.894 * * * * [pick]: Picked # 0.895 * * * [progress]: localizing error 0.919 * * * [progress]: generating rewritten candidates 0.919 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2) 0.924 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 2) 0.932 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2) 0.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 3) 0.962 * * * [progress]: generating series expansions 0.963 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2) 0.963 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.963 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.963 * [taylor]: Taking taylor expansion of 4.0 in x 0.963 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.963 * [taylor]: Taking taylor expansion of p in x 0.964 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.964 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.964 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.964 * [taylor]: Taking taylor expansion of x in p 0.964 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.964 * [taylor]: Taking taylor expansion of 4.0 in p 0.964 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.964 * [taylor]: Taking taylor expansion of p in p 0.965 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.965 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.965 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.965 * [taylor]: Taking taylor expansion of x in p 0.965 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.965 * [taylor]: Taking taylor expansion of 4.0 in p 0.965 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.965 * [taylor]: Taking taylor expansion of p in p 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of 0 in x 0.968 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.968 * [taylor]: Taking taylor expansion of 2.0 in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.970 * [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 0.972 * [taylor]: Taking taylor expansion of p in x 0.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.974 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.974 * [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 0.995 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.995 * [taylor]: Taking taylor expansion of 4.0 in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.995 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.995 * [taylor]: Taking taylor expansion of p in x 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow p 2))) in p 0.998 * [taylor]: Taking taylor expansion of 4.0 in p 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.998 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.998 * [taylor]: Taking taylor expansion of p in p 1.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.001 * [taylor]: Taking taylor expansion of x in p 1.001 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.001 * [taylor]: Taking taylor expansion of 4.0 in p 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.001 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.001 * [taylor]: Taking taylor expansion of p in p 1.004 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.004 * [taylor]: Taking taylor expansion of 4.0 in x 1.005 * [taylor]: Taking taylor expansion of 0 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 1.008 * [taylor]: Taking taylor expansion of 1/2 in x 1.008 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.008 * [taylor]: Taking taylor expansion of 4.0 in x 1.019 * [taylor]: Taking taylor expansion of 0 in x 1.023 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 2) 1.023 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 1.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.023 * [taylor]: Taking taylor expansion of 4.0 in x 1.023 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.023 * [taylor]: Taking taylor expansion of p in x 1.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.024 * [taylor]: Taking taylor expansion of x in p 1.024 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.024 * [taylor]: Taking taylor expansion of 4.0 in p 1.024 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.024 * [taylor]: Taking taylor expansion of p in p 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.025 * [taylor]: Taking taylor expansion of x in p 1.025 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.025 * [taylor]: Taking taylor expansion of 4.0 in p 1.025 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.025 * [taylor]: Taking taylor expansion of p in p 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of 0 in x 1.027 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 1.027 * [taylor]: Taking taylor expansion of 2.0 in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of 0 in x 1.030 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 1.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.030 * [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 1.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.033 * [taylor]: Taking taylor expansion of x in p 1.033 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.033 * [taylor]: Taking taylor expansion of 4.0 in p 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.033 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.033 * [taylor]: Taking taylor expansion of p in p 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.036 * [taylor]: Taking taylor expansion of x in p 1.037 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.037 * [taylor]: Taking taylor expansion of 4.0 in p 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.037 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.037 * [taylor]: Taking taylor expansion of p in p 1.040 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.040 * [taylor]: Taking taylor expansion of 4.0 in x 1.040 * [taylor]: Taking taylor expansion of 0 in x 1.043 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 1.044 * [taylor]: Taking taylor expansion of 1/2 in x 1.044 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.044 * [taylor]: Taking taylor expansion of 4.0 in x 1.050 * [taylor]: Taking taylor expansion of 0 in x 1.054 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.054 * [taylor]: Taking taylor expansion of 4.0 in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.054 * [taylor]: Taking taylor expansion of p in x 1.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.056 * [taylor]: Taking taylor expansion of x in p 1.056 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.057 * [taylor]: Taking taylor expansion of 4.0 in p 1.057 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.057 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.057 * [taylor]: Taking taylor expansion of p in p 1.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.060 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.060 * [taylor]: Taking taylor expansion of x in p 1.060 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.060 * [taylor]: Taking taylor expansion of 4.0 in p 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.060 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.060 * [taylor]: Taking taylor expansion of p in p 1.063 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.063 * [taylor]: Taking taylor expansion of 4.0 in x 1.064 * [taylor]: Taking taylor expansion of 0 in x 1.067 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 1.067 * [taylor]: Taking taylor expansion of 1/2 in x 1.067 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 1.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.067 * [taylor]: Taking taylor expansion of 4.0 in x 1.073 * [taylor]: Taking taylor expansion of 0 in x 1.077 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2) 1.077 * [approximate]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in (x p) around 0 1.077 * [taylor]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in p 1.077 * [taylor]: Taking taylor expansion of 1.0 in p 1.077 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.077 * [taylor]: Taking taylor expansion of x in p 1.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.077 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.077 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.077 * [taylor]: Taking taylor expansion of x in p 1.077 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.077 * [taylor]: Taking taylor expansion of 4.0 in p 1.077 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.077 * [taylor]: Taking taylor expansion of p in p 1.078 * [taylor]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.078 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.078 * [taylor]: Taking taylor expansion of 4.0 in x 1.078 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.078 * [taylor]: Taking taylor expansion of p in x 1.079 * [taylor]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.079 * [taylor]: Taking taylor expansion of 4.0 in x 1.079 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.079 * [taylor]: Taking taylor expansion of p in x 1.081 * [taylor]: Taking taylor expansion of 1.0 in p 1.083 * [taylor]: Taking taylor expansion of (- (/ (sqrt 0.25) p)) in p 1.083 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.083 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.083 * [taylor]: Taking taylor expansion of 0.25 in p 1.083 * [taylor]: Taking taylor expansion of p in p 1.089 * [taylor]: Taking taylor expansion of 0 in p 1.095 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 1.095 * [taylor]: Taking taylor expansion of 0.03125 in p 1.095 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 1.095 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 1.095 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.095 * [taylor]: Taking taylor expansion of p in p 1.095 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.095 * [taylor]: Taking taylor expansion of 0.25 in p 1.110 * [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 1.110 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.110 * [taylor]: Taking taylor expansion of 1.0 in p 1.110 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.110 * [taylor]: Taking taylor expansion of x in p 1.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.110 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.110 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.110 * [taylor]: Taking taylor expansion of x in p 1.111 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.111 * [taylor]: Taking taylor expansion of 4.0 in p 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.111 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.111 * [taylor]: Taking taylor expansion of p in p 1.114 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.114 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.115 * [taylor]: Taking taylor expansion of 4.0 in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.115 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.115 * [taylor]: Taking taylor expansion of p in x 1.118 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.119 * [taylor]: Taking taylor expansion of 4.0 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.119 * [taylor]: Taking taylor expansion of p in x 1.123 * [taylor]: Taking taylor expansion of 0 in p 1.124 * [taylor]: Taking taylor expansion of 0 in p 1.128 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.128 * [taylor]: Taking taylor expansion of 2.0 in p 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.128 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.128 * [taylor]: Taking taylor expansion of p in p 1.131 * [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 1.131 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.131 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.131 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.131 * [taylor]: Taking taylor expansion of x in p 1.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.131 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.131 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.131 * [taylor]: Taking taylor expansion of x in p 1.131 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.131 * [taylor]: Taking taylor expansion of 4.0 in p 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.131 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.131 * [taylor]: Taking taylor expansion of p in p 1.135 * [taylor]: Taking taylor expansion of 1.0 in p 1.135 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.135 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.136 * [taylor]: Taking taylor expansion of 4.0 in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.136 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.136 * [taylor]: Taking taylor expansion of p in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.139 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.140 * [taylor]: Taking taylor expansion of 4.0 in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.140 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.140 * [taylor]: Taking taylor expansion of p in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of 2.0 in p 1.144 * [taylor]: Taking taylor expansion of 0 in p 1.148 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.148 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.148 * [taylor]: Taking taylor expansion of 2.0 in p 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.148 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.148 * [taylor]: Taking taylor expansion of p in p 1.155 * [taylor]: Taking taylor expansion of 0 in p 1.155 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 3) 1.155 * [approximate]: Taking taylor expansion of (/ (pow x 2) (fma (* 4.0 p) p (pow x 2))) in (x p) around 0 1.155 * [taylor]: Taking taylor expansion of (/ (pow x 2) (fma (* 4.0 p) p (pow x 2))) in p 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.155 * [taylor]: Taking taylor expansion of x in p 1.155 * [taylor]: Taking taylor expansion of (fma (* 4.0 p) p (pow x 2)) in p 1.156 * [taylor]: Rewrote expression to (+ (* (* 4.0 p) p) (pow x 2)) 1.156 * [taylor]: Taking taylor expansion of (* (* 4.0 p) p) in p 1.156 * [taylor]: Taking taylor expansion of (* 4.0 p) in p 1.156 * [taylor]: Taking taylor expansion of 4.0 in p 1.156 * [taylor]: Taking taylor expansion of p in p 1.156 * [taylor]: Taking taylor expansion of p in p 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.156 * [taylor]: Taking taylor expansion of x in p 1.156 * [taylor]: Taking taylor expansion of (/ (pow x 2) (fma (* 4.0 p) p (pow x 2))) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (fma (* 4.0 p) p (pow x 2)) in x 1.157 * [taylor]: Rewrote expression to (+ (* (* 4.0 p) p) (pow x 2)) 1.157 * [taylor]: Taking taylor expansion of (* (* 4.0 p) p) in x 1.157 * [taylor]: Taking taylor expansion of (* 4.0 p) in x 1.157 * [taylor]: Taking taylor expansion of 4.0 in x 1.157 * [taylor]: Taking taylor expansion of p in x 1.157 * [taylor]: Taking taylor expansion of p in x 1.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (/ (pow x 2) (fma (* 4.0 p) p (pow x 2))) in x 1.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (fma (* 4.0 p) p (pow x 2)) in x 1.157 * [taylor]: Rewrote expression to (+ (* (* 4.0 p) p) (pow x 2)) 1.157 * [taylor]: Taking taylor expansion of (* (* 4.0 p) p) in x 1.157 * [taylor]: Taking taylor expansion of (* 4.0 p) in x 1.157 * [taylor]: Taking taylor expansion of 4.0 in x 1.157 * [taylor]: Taking taylor expansion of p in x 1.157 * [taylor]: Taking taylor expansion of p in x 1.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (/ 0.25 (pow p 2)) in p 1.158 * [taylor]: Taking taylor expansion of 0.25 in p 1.158 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.158 * [taylor]: Taking taylor expansion of p in p 1.161 * [taylor]: Taking taylor expansion of 0 in p 1.165 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow p 4)))) in p 1.165 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow p 4))) in p 1.165 * [taylor]: Taking taylor expansion of 0.0625 in p 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p 1.165 * [taylor]: Taking taylor expansion of (pow p 4) in p 1.165 * [taylor]: Taking taylor expansion of p in p 1.174 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in (x p) around 0 1.174 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in p 1.174 * [taylor]: Taking taylor expansion of (* (pow x 2) (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2)))) in p 1.174 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.174 * [taylor]: Taking taylor expansion of x in p 1.174 * [taylor]: Taking taylor expansion of (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))) in p 1.174 * [taylor]: Rewrote expression to (+ (* (/ 4.0 p) (/ 1 p)) (/ 1 (pow x 2))) 1.174 * [taylor]: Taking taylor expansion of (* (/ 4.0 p) (/ 1 p)) in p 1.174 * [taylor]: Taking taylor expansion of (/ 4.0 p) in p 1.174 * [taylor]: Taking taylor expansion of 4.0 in p 1.174 * [taylor]: Taking taylor expansion of p in p 1.174 * [taylor]: Taking taylor expansion of (/ 1 p) in p 1.174 * [taylor]: Taking taylor expansion of p in p 1.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.175 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.175 * [taylor]: Taking taylor expansion of x in p 1.175 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in x 1.175 * [taylor]: Taking taylor expansion of (* (pow x 2) (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2)))) in x 1.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))) in x 1.176 * [taylor]: Rewrote expression to (+ (* (/ 4.0 p) (/ 1 p)) (/ 1 (pow x 2))) 1.176 * [taylor]: Taking taylor expansion of (* (/ 4.0 p) (/ 1 p)) in x 1.176 * [taylor]: Taking taylor expansion of (/ 4.0 p) in x 1.176 * [taylor]: Taking taylor expansion of 4.0 in x 1.176 * [taylor]: Taking taylor expansion of p in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 p) in x 1.176 * [taylor]: Taking taylor expansion of p in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in x 1.177 * [taylor]: Taking taylor expansion of (* (pow x 2) (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2)))) in x 1.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))) in x 1.177 * [taylor]: Rewrote expression to (+ (* (/ 4.0 p) (/ 1 p)) (/ 1 (pow x 2))) 1.177 * [taylor]: Taking taylor expansion of (* (/ 4.0 p) (/ 1 p)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 4.0 p) in x 1.177 * [taylor]: Taking taylor expansion of 4.0 in x 1.177 * [taylor]: Taking taylor expansion of p in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 p) in x 1.177 * [taylor]: Taking taylor expansion of p in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of 1 in p 1.181 * [taylor]: Taking taylor expansion of 0 in p 1.184 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow p 2)))) in p 1.184 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.184 * [taylor]: Taking taylor expansion of 4.0 in p 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.184 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.184 * [taylor]: Taking taylor expansion of p in p 1.195 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in (x p) around 0 1.195 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in p 1.195 * [taylor]: Taking taylor expansion of (* (pow x 2) (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2)))) in p 1.195 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.195 * [taylor]: Taking taylor expansion of x in p 1.195 * [taylor]: Taking taylor expansion of (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))) in p 1.195 * [taylor]: Rewrote expression to (+ (* (/ -4.0 p) (/ -1 p)) (/ 1 (pow x 2))) 1.195 * [taylor]: Taking taylor expansion of (* (/ -4.0 p) (/ -1 p)) in p 1.195 * [taylor]: Taking taylor expansion of (/ -4.0 p) in p 1.195 * [taylor]: Taking taylor expansion of -4.0 in p 1.195 * [taylor]: Taking taylor expansion of p in p 1.196 * [taylor]: Taking taylor expansion of (/ -1 p) in p 1.196 * [taylor]: Taking taylor expansion of -1 in p 1.196 * [taylor]: Taking taylor expansion of p in p 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.196 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.196 * [taylor]: Taking taylor expansion of x in p 1.197 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in x 1.197 * [taylor]: Taking taylor expansion of (* (pow x 2) (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2)))) in x 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))) in x 1.197 * [taylor]: Rewrote expression to (+ (* (/ -4.0 p) (/ -1 p)) (/ 1 (pow x 2))) 1.197 * [taylor]: Taking taylor expansion of (* (/ -4.0 p) (/ -1 p)) in x 1.197 * [taylor]: Taking taylor expansion of (/ -4.0 p) in x 1.197 * [taylor]: Taking taylor expansion of -4.0 in x 1.197 * [taylor]: Taking taylor expansion of p in x 1.197 * [taylor]: Taking taylor expansion of (/ -1 p) in x 1.197 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of p in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in x 1.199 * [taylor]: Taking taylor expansion of (* (pow x 2) (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2)))) in x 1.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))) in x 1.199 * [taylor]: Rewrote expression to (+ (* (/ -4.0 p) (/ -1 p)) (/ 1 (pow x 2))) 1.199 * [taylor]: Taking taylor expansion of (* (/ -4.0 p) (/ -1 p)) in x 1.199 * [taylor]: Taking taylor expansion of (/ -4.0 p) in x 1.199 * [taylor]: Taking taylor expansion of -4.0 in x 1.199 * [taylor]: Taking taylor expansion of p in x 1.199 * [taylor]: Taking taylor expansion of (/ -1 p) in x 1.199 * [taylor]: Taking taylor expansion of -1 in x 1.199 * [taylor]: Taking taylor expansion of p in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of 1 in p 1.203 * [taylor]: Taking taylor expansion of 0 in p 1.206 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow p 2)))) in p 1.206 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.206 * [taylor]: Taking taylor expansion of 4.0 in p 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.206 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.206 * [taylor]: Taking taylor expansion of p in p 1.211 * * * [progress]: simplifying candidates 1.215 * [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)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (fma (- (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (fma (- (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (fma (- (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))))))) (fma (- (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 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x)))) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1) (/ (cbrt (pow x 2)) (fma (* 4.0 p) p (* x x))) (/ (sqrt (pow x 2)) (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (sqrt (pow x 2)) (cbrt (fma (* 4.0 p) p (* x x)))) (/ (sqrt (pow x 2)) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (sqrt (pow x 2)) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (sqrt (pow x 2)) 1) (/ (sqrt (pow x 2)) (fma (* 4.0 p) p (* x x))) (/ 1 (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (pow x 2) (cbrt (fma (* 4.0 p) p (* x x)))) (/ 1 (sqrt (fma (* 4.0 p) p (* x x)))) (/ (pow x 2) (sqrt (fma (* 4.0 p) p (* x x)))) (/ 1 1) (/ (pow x 2) (fma (* 4.0 p) p (* x x))) (/ (pow x (/ 2 2)) (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (pow x (/ 2 2)) (cbrt (fma (* 4.0 p) p (* x x)))) (/ (pow x (/ 2 2)) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (pow x (/ 2 2)) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (pow x (/ 2 2)) 1) (/ (pow x (/ 2 2)) (fma (* 4.0 p) p (* x x))) (/ 1 (fma (* 4.0 p) p (* x x))) (/ (fma (* 4.0 p) p (* x x)) (pow x 2)) (/ (pow x 2) (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (pow x 2) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (pow x 2) 1) (/ (fma (* 4.0 p) p (* x x)) (pow (cbrt x) 2)) (/ (fma (* 4.0 p) p (* x x)) (pow (sqrt x) 2)) (/ (fma (* 4.0 p) p (* x x)) (pow x 2)) (/ (fma (* 4.0 p) p (* x x)) x) (/ (fma (* 4.0 p) p (* x x)) (cbrt (pow x 2))) (/ (fma (* 4.0 p) p (* x x)) (sqrt (pow x 2))) (/ (fma (* 4.0 p) p (* x x)) (pow x 2)) (/ (fma (* 4.0 p) p (* x x)) (pow x (/ 2 2))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 0 2.0 0 0 0 1.234 * * [simplify]: iteration 0 : 760 enodes (cost 4872 ) 1.249 * * [simplify]: iteration 1 : 2876 enodes (cost 3417 ) 1.295 * * [simplify]: iteration 2 : 5001 enodes (cost 3216 ) 1.311 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (fma (* 4.0 p) p (* x 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p) (* x x))))) 3)) (* (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (- (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- 1.0 (/ (* (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) 1) (fabs (cbrt (fma (* 4.0 p) p (* x x)))))) (* (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (+ (/ (- 1) (fabs (cbrt (fma (* 4.0 p) p (* x x))))) (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))))) (- 1.0 (* (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ (- (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x))))) (* (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (+ (- 1) 1)) (- 1.0 (* (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ (- (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x))))) (* (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (+ (- 1) 1)) (- 1.0 (pow (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3)) (* (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (- (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- 1.0 (/ (* (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) 1) (fabs (cbrt (fma (* 4.0 p) p (* x x)))))) (* (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (+ (/ (- 1) (fabs (cbrt (fma (* 4.0 p) p (* x x))))) (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))))) (- 1.0 (* (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ (- (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x))))) (* (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (+ (- 1) 1)) (- 1.0 (* (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ (- (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x))))) (* (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (+ (- 1) 1)) (- 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x))))) (* (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (+ (- 1) 1)) (- 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x))))) (* (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (+ (- 1) 1)) (- 1.0 (/ (* (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x 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))))) (+ (/ (- x) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2))) (/ x (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)))))) (- 1.0 (* (sqrt (- (* (* 4.0 p) p) (* x x))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))))) (* (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) (+ (- (sqrt (- (* (* 4.0 p) p) (* x 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)))))) (/ (- x) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (- x) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (- x) (sqrt (fma (* 4.0 p) p (* x x)))) (exp (- 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x)))))) (log (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (- 1.0 (/ x (sqrt (fma (* 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 (fma (* 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 (fma 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (/ (pow x 2) (fma (* 4.0 p) p (* x x))))) (/ (- x) (sqrt (fma (* 4.0 p) p (* x x)))) (* (+ 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x))))) (- 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x)))))) (fma (/ x (sqrt (fma (* 4.0 p) p (* x x)))) 1 1.0) (+ (sqrt 1.0) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- (sqrt 1.0) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (sqrt 1.0) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- (sqrt 1.0) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (sqrt 1.0) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- (sqrt 1.0) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (fma (* 4.0 p) p (* x x))))) (/ (- x) (sqrt (fma (* 4.0 p) p (* x x)))) (expm1 (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (log1p (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (log (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (log (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (log (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (log (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (exp (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (pow (/ (pow x 2) (fma (* 4.0 p) p (* x x))) 3) (* (cbrt (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (cbrt (/ (pow x 2) (fma (* 4.0 p) p (* x x))))) (cbrt (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (pow (/ (pow x 2) (fma (* 4.0 p) p (* x x))) 3) (sqrt (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (sqrt (/ (pow x 2) (fma (* 4.0 p) p (* x x)))) (- (* x x)) (- (fma (* 4.0 p) p (* x x))) (/ (pow (cbrt x) 4) (* (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x)))) 1)) (/ (pow (cbrt x) 2) (cbrt (fma (* 4.0 p) p (* x x)))) (/ (pow (cbrt x) 4) (* (sqrt (fma (* 4.0 p) p (* x x))) 1)) (/ (pow (cbrt x) 2) (sqrt (fma (* 4.0 p) p (* x x)))) (pow (cbrt x) 4) (/ (pow (cbrt x) 2) (fma (* 4.0 p) p (* x x))) (/ x (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ x (cbrt (fma (* 4.0 p) p (* x x)))) (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (/ x (sqrt (fma (* 4.0 p) p (* x x)))) x (/ x (fma (* 4.0 p) p (* x x))) (/ 1 (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (pow x 2) (cbrt (fma (* 4.0 p) p (* x x)))) (/ 1 (sqrt (fma (* 4.0 p) p (* x x)))) (/ (pow x 2) (sqrt (fma (* 4.0 p) p (* x x)))) 1 (/ (pow x 2) (fma (* 4.0 p) p (* x x))) (/ x (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ x (cbrt (fma (* 4.0 p) p (* x x)))) (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (/ x (sqrt (fma (* 4.0 p) p (* x x)))) x (/ x (fma (* 4.0 p) p (* x x))) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (cbrt (pow x 2)) (cbrt (fma (* 4.0 p) p (* x x)))) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (cbrt (pow x 2)) (sqrt (fma (* 4.0 p) p (* x x)))) (* (cbrt (pow x 2)) (cbrt (pow x 2))) (/ (cbrt (pow x 2)) (fma (* 4.0 p) p (* x x))) (/ (/ (fabs x) (cbrt (fma (* 4.0 p) p (* x x)))) (cbrt (fma (* 4.0 p) p (* x x)))) (/ (fabs x) (cbrt (fma (* 4.0 p) p (* x x)))) (/ (fabs x) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (fabs x) (sqrt (fma (* 4.0 p) p (* x x)))) (fabs x) (/ (sqrt (pow x 2)) (fma (* 4.0 p) p (* x x))) (/ 1 (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (pow x 2) (cbrt (fma (* 4.0 p) p (* x x)))) (/ 1 (sqrt (fma (* 4.0 p) p (* x x)))) (/ (pow x 2) (sqrt (fma (* 4.0 p) p (* x x)))) 1 (/ (pow x 2) (fma (* 4.0 p) p (* x x))) (/ x (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ x (cbrt (fma (* 4.0 p) p (* x x)))) (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (/ x (sqrt (fma (* 4.0 p) p (* x x)))) x (/ x (fma (* 4.0 p) p (* x x))) (/ 1 (fma (* 4.0 p) p (* x x))) (/ (fma (* 4.0 p) p (* x x)) (pow x 2)) (/ (pow x 2) (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (pow x 2) (sqrt (fma (* 4.0 p) p (* x x)))) (pow x 2) (/ (fma (* 4.0 p) p (* x x)) (pow (cbrt x) 2)) (/ (fma (* 4.0 p) p (* x x)) x) (/ (fma (* 4.0 p) p (* x x)) (pow x 2)) (/ (fma (* 4.0 p) p (* x x)) x) (/ (fma (* 4.0 p) p (* x x)) (cbrt (pow x 2))) (/ (fma (* 4.0 p) p (* x x)) (fabs x)) (/ (fma (* 4.0 p) p (* x x)) (pow x 2)) (/ (fma (* 4.0 p) p (* x x)) x) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 0 2.0 0 0 0 1.313 * * * [progress]: adding candidates to table 1.988 * * [progress]: iteration 3 / 4 1.988 * * * [progress]: picking best candidate 2.020 * * * * [pick]: Picked # 2.021 * * * [progress]: localizing error 2.036 * * * [progress]: generating rewritten candidates 2.036 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2 2 2) 2.041 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 2.057 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.059 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.074 * * * [progress]: generating series expansions 2.074 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2 2 2) 2.074 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.075 * [taylor]: Taking taylor expansion of 4.0 in x 2.075 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.075 * [taylor]: Taking taylor expansion of p in x 2.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.076 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.076 * [taylor]: Taking taylor expansion of x in p 2.076 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.076 * [taylor]: Taking taylor expansion of 4.0 in p 2.076 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.076 * [taylor]: Taking taylor expansion of p in p 2.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.076 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.077 * [taylor]: Taking taylor expansion of x in p 2.077 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.077 * [taylor]: Taking taylor expansion of 4.0 in p 2.077 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.077 * [taylor]: Taking taylor expansion of p in p 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of 0 in x 2.079 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.079 * [taylor]: Taking taylor expansion of 2.0 in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of 0 in x 2.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.083 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.083 * [taylor]: Taking taylor expansion of 4.0 in x 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.083 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.083 * [taylor]: Taking taylor expansion of p in x 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.085 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.085 * [taylor]: Taking taylor expansion of x in p 2.085 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.085 * [taylor]: Taking taylor expansion of 4.0 in p 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.085 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.085 * [taylor]: Taking taylor expansion of p in p 2.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.088 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.088 * [taylor]: Taking taylor expansion of x in p 2.088 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.088 * [taylor]: Taking taylor expansion of 4.0 in p 2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.088 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.088 * [taylor]: Taking taylor expansion of p in p 2.091 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.091 * [taylor]: Taking taylor expansion of 4.0 in x 2.092 * [taylor]: Taking taylor expansion of 0 in x 2.095 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.095 * [taylor]: Taking taylor expansion of 1/2 in x 2.095 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.095 * [taylor]: Taking taylor expansion of 4.0 in x 2.101 * [taylor]: Taking taylor expansion of 0 in x 2.105 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.105 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.105 * [taylor]: Taking taylor expansion of 4.0 in x 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.105 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.105 * [taylor]: Taking taylor expansion of p in x 2.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.107 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.107 * [taylor]: Taking taylor expansion of x in p 2.108 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.108 * [taylor]: Taking taylor expansion of 4.0 in p 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.108 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.108 * [taylor]: Taking taylor expansion of p in p 2.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.111 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.111 * [taylor]: Taking taylor expansion of x in p 2.111 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.111 * [taylor]: Taking taylor expansion of 4.0 in p 2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.111 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.111 * [taylor]: Taking taylor expansion of p in p 2.114 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.114 * [taylor]: Taking taylor expansion of 4.0 in x 2.114 * [taylor]: Taking taylor expansion of 0 in x 2.117 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.117 * [taylor]: Taking taylor expansion of 1/2 in x 2.117 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.117 * [taylor]: Taking taylor expansion of x in x 2.117 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.117 * [taylor]: Taking taylor expansion of 4.0 in x 2.124 * [taylor]: Taking taylor expansion of 0 in x 2.127 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 2.127 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 2.127 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.127 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.127 * [taylor]: Taking taylor expansion of x in p 2.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.127 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.128 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.128 * [taylor]: Taking taylor expansion of x in p 2.128 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.128 * [taylor]: Taking taylor expansion of 4.0 in p 2.128 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.128 * [taylor]: Taking taylor expansion of p in p 2.128 * [taylor]: Taking taylor expansion of 1.0 in p 2.128 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.128 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.128 * [taylor]: Taking taylor expansion of x in x 2.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.129 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.129 * [taylor]: Taking taylor expansion of x in x 2.129 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.129 * [taylor]: Taking taylor expansion of 4.0 in x 2.129 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.129 * [taylor]: Taking taylor expansion of p in x 2.135 * [taylor]: Taking taylor expansion of 1.0 in x 2.135 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.135 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.135 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.135 * [taylor]: Taking taylor expansion of 4.0 in x 2.135 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.135 * [taylor]: Taking taylor expansion of p in x 2.136 * [taylor]: Taking taylor expansion of 1.0 in x 2.137 * [taylor]: Taking taylor expansion of 1.0 in p 2.138 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.138 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.138 * [taylor]: Taking taylor expansion of 0.25 in p 2.139 * [taylor]: Taking taylor expansion of p in p 2.143 * [taylor]: Taking taylor expansion of 0 in p 2.149 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 2.149 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 2.149 * [taylor]: Taking taylor expansion of 0.03125 in p 2.149 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 2.149 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 2.149 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.149 * [taylor]: Taking taylor expansion of p in p 2.149 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.149 * [taylor]: Taking taylor expansion of 0.25 in p 2.161 * [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 2.161 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 2.161 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.161 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.161 * [taylor]: Taking taylor expansion of x in p 2.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.161 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.161 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.161 * [taylor]: Taking taylor expansion of x in p 2.161 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.161 * [taylor]: Taking taylor expansion of 4.0 in p 2.161 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.161 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.161 * [taylor]: Taking taylor expansion of p in p 2.165 * [taylor]: Taking taylor expansion of 1.0 in p 2.165 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.165 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.165 * [taylor]: Taking taylor expansion of x in x 2.165 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.165 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.165 * [taylor]: Taking taylor expansion of x in x 2.166 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.166 * [taylor]: Taking taylor expansion of 4.0 in x 2.166 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.166 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.166 * [taylor]: Taking taylor expansion of p in x 2.168 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.168 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.169 * [taylor]: Taking taylor expansion of x in x 2.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.169 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.169 * [taylor]: Taking taylor expansion of x in x 2.169 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.169 * [taylor]: Taking taylor expansion of 4.0 in x 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.169 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.169 * [taylor]: Taking taylor expansion of p in x 2.172 * [taylor]: Taking taylor expansion of 1.0 in x 2.173 * [taylor]: Taking taylor expansion of 2.0 in p 2.174 * [taylor]: Taking taylor expansion of 0 in p 2.177 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.177 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.177 * [taylor]: Taking taylor expansion of 2.0 in p 2.177 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.177 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.177 * [taylor]: Taking taylor expansion of p in p 2.185 * [taylor]: Taking taylor expansion of 0 in p 2.185 * [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 2.185 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.185 * [taylor]: Taking taylor expansion of 1.0 in p 2.185 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.185 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.185 * [taylor]: Taking taylor expansion of x in p 2.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.185 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow p 2))) in p 2.185 * [taylor]: Taking taylor expansion of 4.0 in p 2.185 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.185 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.185 * [taylor]: Taking taylor expansion of p in p 2.189 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.189 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.190 * [taylor]: Taking taylor expansion of x in x 2.190 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.190 * [taylor]: Taking taylor expansion of 4.0 in x 2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.190 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.190 * [taylor]: Taking taylor expansion of p in x 2.193 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.193 * [taylor]: Taking taylor expansion of 1.0 in x 2.193 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.193 * [taylor]: Taking taylor expansion of x in x 2.193 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.193 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.193 * [taylor]: Taking taylor expansion of x in x 2.194 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.194 * [taylor]: Taking taylor expansion of 4.0 in x 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.194 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.194 * [taylor]: Taking taylor expansion of p in x 2.197 * [taylor]: Taking taylor expansion of 0 in p 2.198 * [taylor]: Taking taylor expansion of 0 in p 2.202 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.202 * [taylor]: Taking taylor expansion of 2.0 in p 2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.202 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.202 * [taylor]: Taking taylor expansion of p in p 2.205 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.205 * [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 2.205 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in p 2.205 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.205 * [taylor]: Taking taylor expansion of 0.5 in p 2.206 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in p 2.206 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.206 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.206 * [taylor]: Taking taylor expansion of x in p 2.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.206 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.206 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.206 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.206 * [taylor]: Taking taylor expansion of x in p 2.206 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.206 * [taylor]: Taking taylor expansion of 4.0 in p 2.206 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.206 * [taylor]: Taking taylor expansion of p in p 2.207 * [taylor]: Taking taylor expansion of 1.0 in p 2.208 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 2.208 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.208 * [taylor]: Taking taylor expansion of 0.5 in x 2.209 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 2.209 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.209 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.209 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.209 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.209 * [taylor]: Taking taylor expansion of 4.0 in x 2.209 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.209 * [taylor]: Taking taylor expansion of p in x 2.210 * [taylor]: Taking taylor expansion of 1.0 in x 2.213 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 2.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.213 * [taylor]: Taking taylor expansion of 0.5 in x 2.213 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 2.213 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.213 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.213 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.213 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.213 * [taylor]: Taking taylor expansion of 4.0 in x 2.213 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.213 * [taylor]: Taking taylor expansion of p in x 2.215 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in p 2.223 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.223 * [taylor]: Taking taylor expansion of 1.0 in p 2.224 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.224 * [taylor]: Taking taylor expansion of 0.5 in p 2.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0)))) in p 2.227 * [taylor]: Taking taylor expansion of 1/2 in p 2.227 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0))) in p 2.227 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 0.5)) in p 2.227 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.227 * [taylor]: Taking taylor expansion of 0.25 in p 2.228 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.228 * [taylor]: Taking taylor expansion of 0.5 in p 2.229 * [taylor]: Taking taylor expansion of (* p (sqrt 1.0)) in p 2.229 * [taylor]: Taking taylor expansion of p in p 2.229 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.229 * [taylor]: Taking taylor expansion of 1.0 in p 2.246 * [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 2.246 * [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 2.246 * [taylor]: Taking taylor expansion of 1/8 in p 2.246 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))) in p 2.246 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 2) (sqrt 0.5)) in p 2.246 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 2) in p 2.246 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.246 * [taylor]: Taking taylor expansion of 0.25 in p 2.247 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.247 * [taylor]: Taking taylor expansion of 0.5 in p 2.247 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 1.0) 3)) in p 2.247 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.247 * [taylor]: Taking taylor expansion of p in p 2.247 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in p 2.247 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.247 * [taylor]: Taking taylor expansion of 1.0 in p 2.288 * [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 2.288 * [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 2.288 * [taylor]: Taking taylor expansion of 1/16 in p 2.288 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5))) in p 2.288 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 3) (sqrt 0.5)) in p 2.289 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 3) in p 2.289 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.289 * [taylor]: Taking taylor expansion of 0.25 in p 2.289 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.289 * [taylor]: Taking taylor expansion of 0.5 in p 2.290 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 1.0) 5)) in p 2.290 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.290 * [taylor]: Taking taylor expansion of p in p 2.290 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in p 2.290 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.290 * [taylor]: Taking taylor expansion of 1.0 in p 2.302 * [taylor]: Taking taylor expansion of (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))))) in p 2.302 * [taylor]: Taking taylor expansion of 0.015625 in p 2.302 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))) in p 2.302 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.302 * [taylor]: Taking taylor expansion of 0.5 in p 2.309 * [taylor]: Taking taylor expansion of (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))) in p 2.309 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.309 * [taylor]: Taking taylor expansion of p in p 2.309 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 1.0)) in p 2.309 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.309 * [taylor]: Taking taylor expansion of 0.25 in p 2.309 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.309 * [taylor]: Taking taylor expansion of 1.0 in p 2.355 * [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 2.355 * [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 2.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in p 2.355 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 2.355 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.355 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.355 * [taylor]: Taking taylor expansion of x in p 2.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.355 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.355 * [taylor]: Taking taylor expansion of x in p 2.355 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.355 * [taylor]: Taking taylor expansion of 4.0 in p 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.355 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.355 * [taylor]: Taking taylor expansion of p in p 2.359 * [taylor]: Taking taylor expansion of 1.0 in p 2.361 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.361 * [taylor]: Taking taylor expansion of 0.5 in p 2.362 * [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 2.362 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 2.362 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.362 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.362 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.363 * [taylor]: Taking taylor expansion of 4.0 in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.363 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.363 * [taylor]: Taking taylor expansion of p in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.367 * [taylor]: Taking taylor expansion of 0.5 in x 2.368 * [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 2.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 2.368 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.368 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.369 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.369 * [taylor]: Taking taylor expansion of 4.0 in x 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.369 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.369 * [taylor]: Taking taylor expansion of p in x 2.372 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.374 * [taylor]: Taking taylor expansion of 0.5 in x 2.375 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 2.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 2.375 * [taylor]: Taking taylor expansion of 2.0 in p 2.376 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.376 * [taylor]: Taking taylor expansion of 0.5 in p 2.379 * [taylor]: Taking taylor expansion of 0 in p 2.392 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))))) in p 2.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0)))) in p 2.392 * [taylor]: Taking taylor expansion of 1.0 in p 2.392 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))) in p 2.392 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.392 * [taylor]: Taking taylor expansion of 0.5 in p 2.393 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 2.0)) in p 2.393 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.393 * [taylor]: Taking taylor expansion of p in p 2.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 2.393 * [taylor]: Taking taylor expansion of 2.0 in p 2.409 * [taylor]: Taking taylor expansion of 0 in p 2.411 * [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 2.411 * [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 2.411 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in p 2.411 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.411 * [taylor]: Taking taylor expansion of 1.0 in p 2.411 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.411 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.411 * [taylor]: Taking taylor expansion of x in p 2.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.411 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.411 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.411 * [taylor]: Taking taylor expansion of x in p 2.411 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.411 * [taylor]: Taking taylor expansion of 4.0 in p 2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.411 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.411 * [taylor]: Taking taylor expansion of p in p 2.417 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.417 * [taylor]: Taking taylor expansion of 0.5 in p 2.417 * [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 2.418 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 2.418 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.418 * [taylor]: Taking taylor expansion of 1.0 in x 2.418 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.418 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.418 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.418 * [taylor]: Taking taylor expansion of 4.0 in x 2.419 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.419 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.419 * [taylor]: Taking taylor expansion of p in x 2.431 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.432 * [taylor]: Taking taylor expansion of 0.5 in x 2.433 * [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 2.433 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 2.433 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.433 * [taylor]: Taking taylor expansion of 1.0 in x 2.433 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.433 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.434 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.434 * [taylor]: Taking taylor expansion of 4.0 in x 2.434 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.434 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.434 * [taylor]: Taking taylor expansion of p in x 2.447 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.447 * [taylor]: Taking taylor expansion of 0.5 in x 2.448 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (sqrt 0.5)) p) in p 2.448 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 2.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 2.448 * [taylor]: Taking taylor expansion of 2.0 in p 2.449 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.449 * [taylor]: Taking taylor expansion of 0.5 in p 2.449 * [taylor]: Taking taylor expansion of p in p 2.454 * [taylor]: Taking taylor expansion of 0 in p 2.465 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))))) in p 2.465 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0)))) in p 2.465 * [taylor]: Taking taylor expansion of 3.0 in p 2.465 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))) in p 2.465 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.465 * [taylor]: Taking taylor expansion of 0.5 in p 2.466 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 2.0)) in p 2.466 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.466 * [taylor]: Taking taylor expansion of p in p 2.466 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 2.466 * [taylor]: Taking taylor expansion of 2.0 in p 2.487 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.487 * [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 2.487 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in p 2.487 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.487 * [taylor]: Taking taylor expansion of 0.5 in p 2.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in p 2.488 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.488 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.488 * [taylor]: Taking taylor expansion of x in p 2.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.488 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.488 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.488 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.488 * [taylor]: Taking taylor expansion of x in p 2.488 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.488 * [taylor]: Taking taylor expansion of 4.0 in p 2.488 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.488 * [taylor]: Taking taylor expansion of p in p 2.489 * [taylor]: Taking taylor expansion of 1.0 in p 2.490 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 2.490 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.490 * [taylor]: Taking taylor expansion of 0.5 in x 2.491 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 2.491 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.491 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.491 * [taylor]: Taking taylor expansion of x in x 2.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.491 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.491 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.491 * [taylor]: Taking taylor expansion of x in x 2.491 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.491 * [taylor]: Taking taylor expansion of 4.0 in x 2.491 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.491 * [taylor]: Taking taylor expansion of p in x 2.492 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0))) in x 2.495 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.495 * [taylor]: Taking taylor expansion of 0.5 in x 2.495 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0)) in x 2.495 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.496 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.496 * [taylor]: Taking taylor expansion of x in x 2.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.496 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.496 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.496 * [taylor]: Taking taylor expansion of x in x 2.496 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.496 * [taylor]: Taking taylor expansion of 4.0 in x 2.496 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.496 * [taylor]: Taking taylor expansion of p in x 2.497 * [taylor]: Taking taylor expansion of 1.0 in x 2.500 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 0.5)) in p 2.500 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.500 * [taylor]: Taking taylor expansion of 1.0 in p 2.501 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.501 * [taylor]: Taking taylor expansion of 0.5 in p 2.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0)))) in p 2.504 * [taylor]: Taking taylor expansion of 1/2 in p 2.504 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) (sqrt 0.5)) (* p (sqrt 1.0))) in p 2.504 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 0.5)) in p 2.504 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.504 * [taylor]: Taking taylor expansion of 0.25 in p 2.505 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.505 * [taylor]: Taking taylor expansion of 0.5 in p 2.506 * [taylor]: Taking taylor expansion of (* p (sqrt 1.0)) in p 2.506 * [taylor]: Taking taylor expansion of p in p 2.506 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.506 * [taylor]: Taking taylor expansion of 1.0 in p 2.522 * [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 2.522 * [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 2.522 * [taylor]: Taking taylor expansion of 1/8 in p 2.522 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 2) (sqrt 0.5)) (* (pow p 2) (pow (sqrt 1.0) 3))) in p 2.522 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 2) (sqrt 0.5)) in p 2.522 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 2) in p 2.522 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.522 * [taylor]: Taking taylor expansion of 0.25 in p 2.523 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.523 * [taylor]: Taking taylor expansion of 0.5 in p 2.523 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 1.0) 3)) in p 2.524 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.524 * [taylor]: Taking taylor expansion of p in p 2.524 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in p 2.524 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.524 * [taylor]: Taking taylor expansion of 1.0 in p 2.570 * [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 2.570 * [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 2.570 * [taylor]: Taking taylor expansion of 1/16 in p 2.570 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 0.25) 3) (sqrt 0.5)) (* (pow p 3) (pow (sqrt 1.0) 5))) in p 2.570 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.25) 3) (sqrt 0.5)) in p 2.570 * [taylor]: Taking taylor expansion of (pow (sqrt 0.25) 3) in p 2.570 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.570 * [taylor]: Taking taylor expansion of 0.25 in p 2.571 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.571 * [taylor]: Taking taylor expansion of 0.5 in p 2.571 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 1.0) 5)) in p 2.571 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.571 * [taylor]: Taking taylor expansion of p in p 2.571 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in p 2.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.571 * [taylor]: Taking taylor expansion of 1.0 in p 2.583 * [taylor]: Taking taylor expansion of (* 0.015625 (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))))) in p 2.583 * [taylor]: Taking taylor expansion of 0.015625 in p 2.583 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0)))) in p 2.583 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.583 * [taylor]: Taking taylor expansion of 0.5 in p 2.584 * [taylor]: Taking taylor expansion of (* (pow p 3) (* (sqrt 0.25) (sqrt 1.0))) in p 2.584 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.584 * [taylor]: Taking taylor expansion of p in p 2.584 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (sqrt 1.0)) in p 2.584 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.584 * [taylor]: Taking taylor expansion of 0.25 in p 2.584 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 2.584 * [taylor]: Taking taylor expansion of 1.0 in p 2.629 * [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 2.629 * [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 2.629 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in p 2.629 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 2.629 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.630 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.630 * [taylor]: Taking taylor expansion of x in p 2.630 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.630 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.630 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.630 * [taylor]: Taking taylor expansion of x in p 2.630 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.630 * [taylor]: Taking taylor expansion of 4.0 in p 2.630 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.630 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.630 * [taylor]: Taking taylor expansion of p in p 2.634 * [taylor]: Taking taylor expansion of 1.0 in p 2.641 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.641 * [taylor]: Taking taylor expansion of 0.5 in p 2.642 * [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 2.642 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 2.642 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.642 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.642 * [taylor]: Taking taylor expansion of x in x 2.642 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.642 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.643 * [taylor]: Taking taylor expansion of 4.0 in x 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.643 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.643 * [taylor]: Taking taylor expansion of p in x 2.646 * [taylor]: Taking taylor expansion of 1.0 in x 2.648 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.648 * [taylor]: Taking taylor expansion of 0.5 in x 2.648 * [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 2.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0)) in x 2.649 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.649 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.649 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.649 * [taylor]: Taking taylor expansion of 4.0 in x 2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.649 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.649 * [taylor]: Taking taylor expansion of p in x 2.652 * [taylor]: Taking taylor expansion of 1.0 in x 2.654 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.654 * [taylor]: Taking taylor expansion of 0.5 in x 2.656 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 2.656 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 2.656 * [taylor]: Taking taylor expansion of 2.0 in p 2.656 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.656 * [taylor]: Taking taylor expansion of 0.5 in p 2.659 * [taylor]: Taking taylor expansion of 0 in p 2.666 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))))) in p 2.666 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0)))) in p 2.666 * [taylor]: Taking taylor expansion of 1.0 in p 2.666 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 2) (sqrt 2.0))) in p 2.666 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.666 * [taylor]: Taking taylor expansion of 0.5 in p 2.667 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 2.0)) in p 2.667 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.667 * [taylor]: Taking taylor expansion of p in p 2.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 2.667 * [taylor]: Taking taylor expansion of 2.0 in p 2.683 * [taylor]: Taking taylor expansion of 0 in p 2.685 * [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 2.685 * [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 2.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in p 2.685 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.685 * [taylor]: Taking taylor expansion of 1.0 in p 2.685 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.685 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.685 * [taylor]: Taking taylor expansion of x in p 2.685 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.685 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.685 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.685 * [taylor]: Taking taylor expansion of x in p 2.685 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.686 * [taylor]: Taking taylor expansion of 4.0 in p 2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.686 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.686 * [taylor]: Taking taylor expansion of p in p 2.691 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.691 * [taylor]: Taking taylor expansion of 0.5 in p 2.692 * [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 2.692 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 2.692 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.692 * [taylor]: Taking taylor expansion of 1.0 in x 2.692 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.692 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.693 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.693 * [taylor]: Taking taylor expansion of 4.0 in x 2.693 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.693 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.693 * [taylor]: Taking taylor expansion of p in x 2.706 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.706 * [taylor]: Taking taylor expansion of 0.5 in x 2.707 * [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 2.707 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))))) in x 2.707 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.707 * [taylor]: Taking taylor expansion of 1.0 in x 2.707 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.708 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.708 * [taylor]: Taking taylor expansion of 4.0 in x 2.708 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.708 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.708 * [taylor]: Taking taylor expansion of p in x 2.726 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.726 * [taylor]: Taking taylor expansion of 0.5 in x 2.727 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (sqrt 0.5)) p) in p 2.727 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 0.5)) in p 2.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 2.727 * [taylor]: Taking taylor expansion of 2.0 in p 2.728 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.728 * [taylor]: Taking taylor expansion of 0.5 in p 2.728 * [taylor]: Taking taylor expansion of p in p 2.732 * [taylor]: Taking taylor expansion of 0 in p 2.744 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))))) in p 2.744 * [taylor]: Taking taylor expansion of (* 3.0 (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0)))) in p 2.744 * [taylor]: Taking taylor expansion of 3.0 in p 2.744 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (* (pow p 3) (sqrt 2.0))) in p 2.744 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 2.744 * [taylor]: Taking taylor expansion of 0.5 in p 2.745 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 2.0)) in p 2.745 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.745 * [taylor]: Taking taylor expansion of p in p 2.745 * [taylor]: Taking taylor expansion of (sqrt 2.0) in p 2.745 * [taylor]: Taking taylor expansion of 2.0 in p 2.760 * * * [progress]: simplifying candidates 2.761 * [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 2.767 * * [simplify]: iteration 0 : 251 enodes (cost 704 ) 2.771 * * [simplify]: iteration 1 : 672 enodes (cost 655 ) 2.782 * * [simplify]: iteration 2 : 1841 enodes (cost 654 ) 2.815 * * [simplify]: iteration 3 : 4942 enodes (cost 653 ) 2.886 * * [simplify]: iteration 4 : 5001 enodes (cost 653 ) 2.890 * [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 2.890 * * * [progress]: adding candidates to table 3.161 * * [progress]: iteration 4 / 4 3.161 * * * [progress]: picking best candidate 3.204 * * * * [pick]: Picked # 3.204 * * * [progress]: localizing error 3.246 * * * [progress]: generating rewritten candidates 3.246 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2 2 2 1) 3.252 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2 2 2 1 1 2 1) 3.257 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2 2 1 2 2 1) 3.263 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 2 1 2 1 1) 3.272 * * * [progress]: generating series expansions 3.272 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2 2 2 1) 3.273 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 3.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.273 * [taylor]: Taking taylor expansion of x in x 3.273 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.273 * [taylor]: Taking taylor expansion of 4.0 in x 3.273 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.273 * [taylor]: Taking taylor expansion of p in x 3.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.274 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.274 * [taylor]: Taking taylor expansion of x in p 3.274 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.274 * [taylor]: Taking taylor expansion of 4.0 in p 3.274 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.274 * [taylor]: Taking taylor expansion of p in p 3.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.275 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.275 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.275 * [taylor]: Taking taylor expansion of x in p 3.275 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.275 * [taylor]: Taking taylor expansion of 4.0 in p 3.275 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.275 * [taylor]: Taking taylor expansion of p in p 3.275 * [taylor]: Taking taylor expansion of x in x 3.275 * [taylor]: Taking taylor expansion of 0 in x 3.277 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 3.277 * [taylor]: Taking taylor expansion of 2.0 in x 3.277 * [taylor]: Taking taylor expansion of x in x 3.280 * [taylor]: Taking taylor expansion of 0 in x 3.281 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.281 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.281 * [taylor]: Taking taylor expansion of 4.0 in x 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.281 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.281 * [taylor]: Taking taylor expansion of p in x 3.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.284 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.284 * [taylor]: Taking taylor expansion of x in p 3.284 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.284 * [taylor]: Taking taylor expansion of 4.0 in p 3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.284 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.284 * [taylor]: Taking taylor expansion of p in p 3.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.287 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.287 * [taylor]: Taking taylor expansion of x in p 3.287 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.287 * [taylor]: Taking taylor expansion of 4.0 in p 3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.287 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.287 * [taylor]: Taking taylor expansion of p in p 3.290 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.290 * [taylor]: Taking taylor expansion of 4.0 in x 3.291 * [taylor]: Taking taylor expansion of 0 in x 3.294 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.294 * [taylor]: Taking taylor expansion of 1/2 in x 3.294 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) 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 (sqrt 4.0) in x 3.294 * [taylor]: Taking taylor expansion of 4.0 in x 3.301 * [taylor]: Taking taylor expansion of 0 in x 3.304 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.305 * [taylor]: Taking taylor expansion of x in x 3.305 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.305 * [taylor]: Taking taylor expansion of 4.0 in x 3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.305 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.305 * [taylor]: Taking taylor expansion of p in x 3.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.307 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.307 * [taylor]: Taking taylor expansion of x in p 3.307 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.307 * [taylor]: Taking taylor expansion of 4.0 in p 3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.307 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.307 * [taylor]: Taking taylor expansion of p in p 3.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.310 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.310 * [taylor]: Taking taylor expansion of x in p 3.311 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.311 * [taylor]: Taking taylor expansion of 4.0 in p 3.311 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.311 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.311 * [taylor]: Taking taylor expansion of p in p 3.314 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.314 * [taylor]: Taking taylor expansion of 4.0 in x 3.314 * [taylor]: Taking taylor expansion of 0 in x 3.317 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.317 * [taylor]: Taking taylor expansion of 1/2 in x 3.317 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.317 * [taylor]: Taking taylor expansion of x in x 3.317 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.317 * [taylor]: Taking taylor expansion of 4.0 in x 3.324 * [taylor]: Taking taylor expansion of 0 in x 3.327 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2 2 2 1 1 2 1) 3.327 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 3.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.328 * [taylor]: Taking taylor expansion of x in x 3.328 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.328 * [taylor]: Taking taylor expansion of 4.0 in x 3.328 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.328 * [taylor]: Taking taylor expansion of p in x 3.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 (pow p 2)) in p 3.329 * [taylor]: Taking taylor expansion of 4.0 in p 3.329 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.329 * [taylor]: Taking taylor expansion of p in p 3.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 (pow p 2)) in p 3.329 * [taylor]: Taking taylor expansion of 4.0 in p 3.329 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.329 * [taylor]: Taking taylor expansion of p in p 3.330 * [taylor]: Taking taylor expansion of x in x 3.330 * [taylor]: Taking taylor expansion of 0 in x 3.332 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 3.332 * [taylor]: Taking taylor expansion of 2.0 in x 3.332 * [taylor]: Taking taylor expansion of x in x 3.334 * [taylor]: Taking taylor expansion of 0 in x 3.335 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.335 * [taylor]: Taking taylor expansion of x in x 3.335 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.336 * [taylor]: Taking taylor expansion of 4.0 in x 3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.336 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.336 * [taylor]: Taking taylor expansion of p in x 3.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.338 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.338 * [taylor]: Taking taylor expansion of x in p 3.338 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.338 * [taylor]: Taking taylor expansion of 4.0 in p 3.338 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.338 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.338 * [taylor]: Taking taylor expansion of p in p 3.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.341 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.341 * [taylor]: Taking taylor expansion of x in p 3.341 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.341 * [taylor]: Taking taylor expansion of 4.0 in p 3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.341 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.341 * [taylor]: Taking taylor expansion of p in p 3.344 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.344 * [taylor]: Taking taylor expansion of 4.0 in x 3.345 * [taylor]: Taking taylor expansion of 0 in x 3.348 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.348 * [taylor]: Taking taylor expansion of 1/2 in x 3.348 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.348 * [taylor]: Taking taylor expansion of x in x 3.348 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.348 * [taylor]: Taking taylor expansion of 4.0 in x 3.361 * [taylor]: Taking taylor expansion of 0 in x 3.365 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.365 * [taylor]: Taking taylor expansion of x in x 3.365 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.365 * [taylor]: Taking taylor expansion of 4.0 in x 3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.365 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.365 * [taylor]: Taking taylor expansion of p in x 3.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.367 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.367 * [taylor]: Taking taylor expansion of x in p 3.368 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.368 * [taylor]: Taking taylor expansion of 4.0 in p 3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.368 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.368 * [taylor]: Taking taylor expansion of p in p 3.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.371 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.371 * [taylor]: Taking taylor expansion of x in p 3.371 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.371 * [taylor]: Taking taylor expansion of 4.0 in p 3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.371 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.371 * [taylor]: Taking taylor expansion of p in p 3.374 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.374 * [taylor]: Taking taylor expansion of 4.0 in x 3.374 * [taylor]: Taking taylor expansion of 0 in x 3.377 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.377 * [taylor]: Taking taylor expansion of 1/2 in x 3.377 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.377 * [taylor]: Taking taylor expansion of x in x 3.377 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.377 * [taylor]: Taking taylor expansion of 4.0 in x 3.384 * [taylor]: Taking taylor expansion of 0 in x 3.387 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2 2 1 2 2 1) 3.387 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 3.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.387 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.387 * [taylor]: Taking taylor expansion of x in x 3.387 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.387 * [taylor]: Taking taylor expansion of 4.0 in x 3.387 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.387 * [taylor]: Taking taylor expansion of p in x 3.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.389 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.389 * [taylor]: Taking taylor expansion of x in p 3.389 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.389 * [taylor]: Taking taylor expansion of 4.0 in p 3.389 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.389 * [taylor]: Taking taylor expansion of p in p 3.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.390 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.390 * [taylor]: Taking taylor expansion of x in p 3.390 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.390 * [taylor]: Taking taylor expansion of 4.0 in p 3.390 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.390 * [taylor]: Taking taylor expansion of p in p 3.390 * [taylor]: Taking taylor expansion of x in x 3.390 * [taylor]: Taking taylor expansion of 0 in x 3.392 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 3.392 * [taylor]: Taking taylor expansion of 2.0 in x 3.392 * [taylor]: Taking taylor expansion of x in x 3.394 * [taylor]: Taking taylor expansion of 0 in x 3.395 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.395 * [taylor]: Taking taylor expansion of x in x 3.396 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.396 * [taylor]: Taking taylor expansion of 4.0 in x 3.396 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.396 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.396 * [taylor]: Taking taylor expansion of p in x 3.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.398 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.398 * [taylor]: Taking taylor expansion of x in p 3.398 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.398 * [taylor]: Taking taylor expansion of 4.0 in p 3.398 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.398 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.398 * [taylor]: Taking taylor expansion of p in p 3.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.401 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.401 * [taylor]: Taking taylor expansion of x in p 3.401 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.401 * [taylor]: Taking taylor expansion of 4.0 in p 3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.401 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.401 * [taylor]: Taking taylor expansion of p in p 3.404 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.404 * [taylor]: Taking taylor expansion of 4.0 in x 3.405 * [taylor]: Taking taylor expansion of 0 in x 3.408 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.408 * [taylor]: Taking taylor expansion of 1/2 in x 3.408 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.408 * [taylor]: Taking taylor expansion of x in x 3.408 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.408 * [taylor]: Taking taylor expansion of 4.0 in x 3.414 * [taylor]: Taking taylor expansion of 0 in x 3.417 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.417 * [taylor]: Taking taylor expansion of x in x 3.418 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.418 * [taylor]: Taking taylor expansion of 4.0 in x 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.418 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.418 * [taylor]: Taking taylor expansion of p in x 3.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.420 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.420 * [taylor]: Taking taylor expansion of x in p 3.420 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.420 * [taylor]: Taking taylor expansion of 4.0 in p 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.420 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.420 * [taylor]: Taking taylor expansion of p in p 3.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.423 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.423 * [taylor]: Taking taylor expansion of x in p 3.423 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.423 * [taylor]: Taking taylor expansion of 4.0 in p 3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.423 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.423 * [taylor]: Taking taylor expansion of p in p 3.426 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.426 * [taylor]: Taking taylor expansion of 4.0 in x 3.427 * [taylor]: Taking taylor expansion of 0 in x 3.430 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.430 * [taylor]: Taking taylor expansion of 1/2 in x 3.430 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.430 * [taylor]: Taking taylor expansion of x in x 3.430 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.430 * [taylor]: Taking taylor expansion of 4.0 in x 3.436 * [taylor]: Taking taylor expansion of 0 in x 3.445 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 2 1 2 1 1) 3.445 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 3.445 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 3.445 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 3.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.445 * [taylor]: Taking taylor expansion of x in x 3.445 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 3.445 * [taylor]: Taking taylor expansion of 4.0 in x 3.445 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.445 * [taylor]: Taking taylor expansion of p in x 3.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.446 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.446 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.446 * [taylor]: Taking taylor expansion of x in p 3.446 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.447 * [taylor]: Taking taylor expansion of 4.0 in p 3.447 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.447 * [taylor]: Taking taylor expansion of p in p 3.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 3.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 3.447 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.447 * [taylor]: Taking taylor expansion of x in p 3.447 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 3.447 * [taylor]: Taking taylor expansion of 4.0 in p 3.447 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.447 * [taylor]: Taking taylor expansion of p in p 3.448 * [taylor]: Taking taylor expansion of x in x 3.448 * [taylor]: Taking taylor expansion of 0 in x 3.450 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 3.450 * [taylor]: Taking taylor expansion of 2.0 in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.452 * [taylor]: Taking taylor expansion of 0 in x 3.453 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.453 * [taylor]: Taking taylor expansion of x in x 3.453 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.453 * [taylor]: Taking taylor expansion of 4.0 in x 3.453 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.453 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.453 * [taylor]: Taking taylor expansion of p in x 3.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.455 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.455 * [taylor]: Taking taylor expansion of x in p 3.456 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.456 * [taylor]: Taking taylor expansion of 4.0 in p 3.456 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.456 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.456 * [taylor]: Taking taylor expansion of p in p 3.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.459 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.459 * [taylor]: Taking taylor expansion of x in p 3.459 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.459 * [taylor]: Taking taylor expansion of 4.0 in p 3.459 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.459 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.459 * [taylor]: Taking taylor expansion of p in p 3.462 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.462 * [taylor]: Taking taylor expansion of 4.0 in x 3.462 * [taylor]: Taking taylor expansion of 0 in x 3.465 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.465 * [taylor]: Taking taylor expansion of 1/2 in x 3.465 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.465 * [taylor]: Taking taylor expansion of x in x 3.465 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.465 * [taylor]: Taking taylor expansion of 4.0 in x 3.472 * [taylor]: Taking taylor expansion of 0 in x 3.475 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 3.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 3.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.475 * [taylor]: Taking taylor expansion of x in x 3.476 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 3.476 * [taylor]: Taking taylor expansion of 4.0 in x 3.476 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.476 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.476 * [taylor]: Taking taylor expansion of p in x 3.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.478 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.478 * [taylor]: Taking taylor expansion of x in p 3.478 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.478 * [taylor]: Taking taylor expansion of 4.0 in p 3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.478 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.478 * [taylor]: Taking taylor expansion of p in p 3.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 3.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.481 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.481 * [taylor]: Taking taylor expansion of x in p 3.481 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 3.481 * [taylor]: Taking taylor expansion of 4.0 in p 3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.481 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.481 * [taylor]: Taking taylor expansion of p in p 3.484 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.484 * [taylor]: Taking taylor expansion of 4.0 in x 3.485 * [taylor]: Taking taylor expansion of 0 in x 3.488 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 3.488 * [taylor]: Taking taylor expansion of 1/2 in x 3.488 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 3.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.488 * [taylor]: Taking taylor expansion of x in x 3.488 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 3.488 * [taylor]: Taking taylor expansion of 4.0 in x 3.494 * [taylor]: Taking taylor expansion of 0 in x 3.497 * * * [progress]: simplifying candidates 3.498 * [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 (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)))) 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))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 3.503 * * [simplify]: iteration 0 : 106 enodes (cost 548 ) 3.506 * * [simplify]: iteration 1 : 323 enodes (cost 528 ) 3.514 * * [simplify]: iteration 2 : 963 enodes (cost 528 ) 3.534 * * [simplify]: iteration 3 : 2523 enodes (cost 528 ) 3.582 * * [simplify]: iteration 4 : 5002 enodes (cost 524 ) 3.586 * [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 (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)))) 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))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 3.586 * * * [progress]: adding candidates to table 4.299 * [progress]: [Phase 3 of 3] Extracting. 4.299 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 4.307 * * * [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) 4.307 * * * * [regimes]: Trying to branch on (* (* 4.0 p) p) from (# # # # # # # # # # #) 4.364 * * * * [regimes]: Trying to branch on (* (* 4.0 p) p) from (# # # # # # # #) 4.398 * * * * [regimes]: Trying to branch on (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) from (# # # # # # # # # # #) 4.454 * * * * [regimes]: Trying to branch on (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) from (# # # # # # # # # # #) 4.510 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) from (# # # # # # # # # # #) 4.567 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) from (# # # # # # # # # # #) 4.626 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 4.685 * * * * [regimes]: Trying to branch on p from (# # # # # # # # # # #) 4.744 * * * [regime]: Found split indices: #