8.146 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.037 * * [simplify]: iteration 0 : 28 enodes (cost 9 ) 0.039 * * [simplify]: iteration 1 : 40 enodes (cost 9 ) 0.041 * * [simplify]: iteration 2 : 48 enodes (cost 9 ) 0.042 * * [simplify]: iteration 3 : 50 enodes (cost 9 ) 0.044 * * [simplify]: iteration 4 : 52 enodes (cost 9 ) 0.045 * * [simplify]: iteration 5 : 53 enodes (cost 9 ) 0.047 * * [simplify]: iteration 6 : 53 enodes (cost 9 ) 0.047 * [simplify]: Simplified to: (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 0.072 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.085 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 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 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.103 * [taylor]: Taking taylor expansion of x in p 0.103 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.103 * [taylor]: Taking taylor expansion of 4.0 in p 0.103 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.103 * [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 0.106 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.106 * [taylor]: Taking taylor expansion of 2.0 in x 0.106 * [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 0.110 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.110 * [taylor]: Taking taylor expansion of 4.0 in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.110 * [taylor]: Taking taylor expansion of p in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.112 * [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 0.116 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.116 * [taylor]: Taking taylor expansion of 4.0 in p 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.116 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.116 * [taylor]: Taking taylor expansion of p in p 0.119 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.119 * [taylor]: Taking taylor expansion of 4.0 in x 0.119 * [taylor]: Taking taylor expansion of 0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.123 * [taylor]: Taking taylor expansion of 1/2 in x 0.123 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.123 * [taylor]: Taking taylor expansion of 4.0 in x 0.130 * [taylor]: Taking taylor expansion of 0 in x 0.133 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.134 * [taylor]: Taking taylor expansion of 4.0 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.134 * [taylor]: Taking taylor expansion of p in x 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.136 * [taylor]: Taking taylor expansion of x in p 0.136 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.136 * [taylor]: Taking taylor expansion of 4.0 in p 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.136 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.136 * [taylor]: Taking taylor expansion of p in p 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.140 * [taylor]: Taking taylor expansion of x in p 0.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.140 * [taylor]: Taking taylor expansion of 4.0 in p 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.140 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.140 * [taylor]: Taking taylor expansion of p in p 0.143 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.143 * [taylor]: Taking taylor expansion of 4.0 in x 0.144 * [taylor]: Taking taylor expansion of 0 in x 0.147 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.147 * [taylor]: Taking taylor expansion of 1/2 in x 0.147 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.147 * [taylor]: Taking taylor expansion of 4.0 in x 0.159 * [taylor]: Taking taylor expansion of 0 in x 0.163 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.163 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 0.163 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.163 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.163 * [taylor]: Taking taylor expansion of x in p 0.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.163 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.163 * [taylor]: Taking taylor expansion of x in p 0.163 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.163 * [taylor]: Taking taylor expansion of 4.0 in p 0.163 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.163 * [taylor]: Taking taylor expansion of p in p 0.164 * [taylor]: Taking taylor expansion of 1.0 in p 0.164 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.164 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.164 * [taylor]: Taking taylor expansion of 4.0 in x 0.164 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.164 * [taylor]: Taking taylor expansion of p in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.166 * [taylor]: Taking taylor expansion of 4.0 in x 0.166 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.166 * [taylor]: Taking taylor expansion of p in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in p 0.168 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.168 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.168 * [taylor]: Taking taylor expansion of 0.25 in p 0.169 * [taylor]: Taking taylor expansion of p in p 0.174 * [taylor]: Taking taylor expansion of 0 in p 0.180 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 0.180 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 0.180 * [taylor]: Taking taylor expansion of 0.03125 in p 0.180 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 0.180 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 0.180 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.180 * [taylor]: Taking taylor expansion of p in p 0.180 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.180 * [taylor]: Taking taylor expansion of 0.25 in p 0.192 * [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 0.192 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.192 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.192 * [taylor]: Taking taylor expansion of x in p 0.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.192 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.192 * [taylor]: Taking taylor expansion of x in p 0.193 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.193 * [taylor]: Taking taylor expansion of 4.0 in p 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.193 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.193 * [taylor]: Taking taylor expansion of p in p 0.196 * [taylor]: Taking taylor expansion of 1.0 in p 0.197 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.197 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.198 * [taylor]: Taking taylor expansion of 4.0 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.198 * [taylor]: Taking taylor expansion of p in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.201 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.202 * [taylor]: Taking taylor expansion of 4.0 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.202 * [taylor]: Taking taylor expansion of p in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of 2.0 in p 0.206 * [taylor]: Taking taylor expansion of 0 in p 0.210 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.210 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.210 * [taylor]: Taking taylor expansion of 2.0 in p 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.210 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.210 * [taylor]: Taking taylor expansion of p in p 0.218 * [taylor]: Taking taylor expansion of 0 in p 0.219 * [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 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.219 * [taylor]: Taking taylor expansion of 1.0 in p 0.219 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.219 * [taylor]: Taking taylor expansion of x in p 0.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.219 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.219 * [taylor]: Taking taylor expansion of x in p 0.219 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.219 * [taylor]: Taking taylor expansion of 4.0 in p 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.219 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.219 * [taylor]: Taking taylor expansion of p in p 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [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 0.224 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.224 * [taylor]: Taking taylor expansion of 4.0 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.224 * [taylor]: Taking taylor expansion of p in x 0.227 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.228 * [taylor]: Taking taylor expansion of 4.0 in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.228 * [taylor]: Taking taylor expansion of p in x 0.232 * [taylor]: Taking taylor expansion of 0 in p 0.233 * [taylor]: Taking taylor expansion of 0 in p 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.237 * [taylor]: Taking taylor expansion of 2.0 in p 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.237 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.237 * [taylor]: Taking taylor expansion of p in p 0.240 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.240 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 0.240 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.240 * [taylor]: Taking taylor expansion of x in p 0.240 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.240 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.240 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.240 * [taylor]: Taking taylor expansion of x in p 0.240 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.240 * [taylor]: Taking taylor expansion of 4.0 in p 0.240 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.240 * [taylor]: Taking taylor expansion of p in p 0.241 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.241 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.241 * [taylor]: Taking taylor expansion of 4.0 in x 0.241 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.241 * [taylor]: Taking taylor expansion of p in x 0.243 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.243 * [taylor]: Taking taylor expansion of 4.0 in x 0.243 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.243 * [taylor]: Taking taylor expansion of p in x 0.251 * [taylor]: Taking taylor expansion of 0 in p 0.251 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.251 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.251 * [taylor]: Taking taylor expansion of 0.25 in p 0.252 * [taylor]: Taking taylor expansion of p in p 0.257 * [taylor]: Taking taylor expansion of 0 in p 0.259 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 0.259 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.259 * [taylor]: Taking taylor expansion of x in p 0.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.259 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.259 * [taylor]: Taking taylor expansion of x in p 0.260 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.260 * [taylor]: Taking taylor expansion of 4.0 in p 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.260 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.260 * [taylor]: Taking taylor expansion of p in p 0.264 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.265 * [taylor]: Taking taylor expansion of 4.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.265 * [taylor]: Taking taylor expansion of p in x 0.268 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.269 * [taylor]: Taking taylor expansion of 4.0 in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.269 * [taylor]: Taking taylor expansion of p in x 0.272 * [taylor]: Taking taylor expansion of 1 in p 0.273 * [taylor]: Taking taylor expansion of 0 in p 0.277 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.277 * [taylor]: Taking taylor expansion of 2.0 in p 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.277 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.277 * [taylor]: Taking taylor expansion of p in p 0.281 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 0.282 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.282 * [taylor]: Taking taylor expansion of -1 in p 0.282 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.282 * [taylor]: Taking taylor expansion of x in p 0.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.282 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.282 * [taylor]: Taking taylor expansion of x in p 0.282 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.282 * [taylor]: Taking taylor expansion of 4.0 in p 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.282 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.282 * [taylor]: Taking taylor expansion of p in p 0.286 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.287 * [taylor]: Taking taylor expansion of 4.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.287 * [taylor]: Taking taylor expansion of p in x 0.290 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.290 * [taylor]: Taking taylor expansion of -1 in x 0.290 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.291 * [taylor]: Taking taylor expansion of 4.0 in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.291 * [taylor]: Taking taylor expansion of p in x 0.294 * [taylor]: Taking taylor expansion of -1 in p 0.296 * [taylor]: Taking taylor expansion of 0 in p 0.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.300 * [taylor]: Taking taylor expansion of 2.0 in p 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.300 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.300 * [taylor]: Taking taylor expansion of p in p 0.304 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1) 0.304 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in (p x) around 0 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.304 * [taylor]: Taking taylor expansion of 4.0 in x 0.304 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.304 * [taylor]: Taking taylor expansion of p in x 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.304 * [taylor]: Taking taylor expansion of x in p 0.304 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.304 * [taylor]: Taking taylor expansion of 4.0 in p 0.304 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.304 * [taylor]: Taking taylor expansion of p in p 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.304 * [taylor]: Taking taylor expansion of x in p 0.304 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.305 * [taylor]: Taking taylor expansion of 4.0 in p 0.305 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.305 * [taylor]: Taking taylor expansion of p in p 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of 0 in x 0.306 * [taylor]: Taking taylor expansion of 4.0 in x 0.308 * [taylor]: Taking taylor expansion of 0 in x 0.310 * [taylor]: Taking taylor expansion of 0 in x 0.311 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.312 * [taylor]: Taking taylor expansion of 4.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.312 * [taylor]: Taking taylor expansion of p in x 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.312 * [taylor]: Taking taylor expansion of x in p 0.312 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.312 * [taylor]: Taking taylor expansion of 4.0 in p 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.312 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.312 * [taylor]: Taking taylor expansion of p in p 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.313 * [taylor]: Taking taylor expansion of x in p 0.313 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.313 * [taylor]: Taking taylor expansion of 4.0 in p 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.313 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.313 * [taylor]: Taking taylor expansion of p in p 0.314 * [taylor]: Taking taylor expansion of 4.0 in x 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.325 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.326 * [taylor]: Taking taylor expansion of 4.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.326 * [taylor]: Taking taylor expansion of p in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.326 * [taylor]: Taking taylor expansion of x in p 0.326 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.326 * [taylor]: Taking taylor expansion of 4.0 in p 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.326 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.326 * [taylor]: Taking taylor expansion of p in p 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.327 * [taylor]: Taking taylor expansion of x in p 0.327 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.327 * [taylor]: Taking taylor expansion of 4.0 in p 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.327 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.327 * [taylor]: Taking taylor expansion of p in p 0.328 * [taylor]: Taking taylor expansion of 4.0 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.345 * * * [progress]: simplifying candidates 0.347 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (exp 1.0) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log1p (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (* x x) x) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- x) (- (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) 1) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt 1)) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 1) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt 1)) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x 1) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (cbrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) (expm1 (+ (* (* 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 0 0 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))) 0.353 * * [simplify]: iteration 0 : 296 enodes (cost 867 ) 0.359 * * [simplify]: iteration 1 : 1081 enodes (cost 815 ) 0.382 * * [simplify]: iteration 2 : 4584 enodes (cost 798 ) 0.498 * * [simplify]: iteration 3 : 5001 enodes (cost 795 ) 0.502 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1 (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (fma (/ x (fma (* 4.0 p) p (* x x))) x (* 1.0 (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (expm1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log1p (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- x) (- (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (/ (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (* (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) 1)) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (cbrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt x)) (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x) (/ x (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) (expm1 (+ (* (* 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 0 0 0 (fma (* 4.0 p) p (* x x)) (fma (* 4.0 p) p (* x x)) (fma (* 4.0 p) p (* x x)) 0.503 * * * [progress]: adding candidates to table 0.797 * * [progress]: iteration 2 / 4 0.797 * * * [progress]: picking best candidate 0.820 * * * * [pick]: Picked # 0.820 * * * [progress]: localizing error 0.848 * * * [progress]: generating rewritten candidates 0.848 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 3 2 2 2) 0.854 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 2) 0.859 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 0.863 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 3 2) 0.886 * * * [progress]: generating series expansions 0.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 3 2 2 2) 0.886 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.886 * [taylor]: Taking taylor expansion of 4.0 in x 0.886 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.886 * [taylor]: Taking taylor expansion of p in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.888 * [taylor]: Taking taylor expansion of x in p 0.888 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.888 * [taylor]: Taking taylor expansion of 4.0 in p 0.888 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.888 * [taylor]: Taking taylor expansion of p in p 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.889 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.889 * [taylor]: Taking taylor expansion of x in p 0.889 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.889 * [taylor]: Taking taylor expansion of 4.0 in p 0.889 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.889 * [taylor]: Taking taylor expansion of p in p 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of 0 in x 0.892 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.892 * [taylor]: Taking taylor expansion of 2.0 in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of 0 in x 0.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.896 * [taylor]: Taking taylor expansion of 4.0 in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.896 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.896 * [taylor]: Taking taylor expansion of p in x 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.898 * [taylor]: Taking taylor expansion of x in p 0.898 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.898 * [taylor]: Taking taylor expansion of 4.0 in p 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.898 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.898 * [taylor]: Taking taylor expansion of p in p 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.901 * [taylor]: Taking taylor expansion of x in p 0.901 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.901 * [taylor]: Taking taylor expansion of 4.0 in p 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.902 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.902 * [taylor]: Taking taylor expansion of p in p 0.905 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.905 * [taylor]: Taking taylor expansion of 4.0 in x 0.905 * [taylor]: Taking taylor expansion of 0 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.909 * [taylor]: Taking taylor expansion of 1/2 in x 0.909 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.909 * [taylor]: Taking taylor expansion of 4.0 in x 0.916 * [taylor]: Taking taylor expansion of 0 in x 0.919 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.920 * [taylor]: Taking taylor expansion of 4.0 in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.920 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.920 * [taylor]: Taking taylor expansion of p in x 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.922 * [taylor]: Taking taylor expansion of x in p 0.922 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.922 * [taylor]: Taking taylor expansion of 4.0 in p 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.922 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.922 * [taylor]: Taking taylor expansion of p in p 0.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.932 * [taylor]: Taking taylor expansion of x in p 0.932 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.932 * [taylor]: Taking taylor expansion of 4.0 in p 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.932 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.932 * [taylor]: Taking taylor expansion of p in p 0.936 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.936 * [taylor]: Taking taylor expansion of 4.0 in x 0.937 * [taylor]: Taking taylor expansion of 0 in x 0.940 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.940 * [taylor]: Taking taylor expansion of 1/2 in x 0.940 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.940 * [taylor]: Taking taylor expansion of 4.0 in x 0.946 * [taylor]: Taking taylor expansion of 0 in x 0.950 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 2) 0.950 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.950 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.950 * [taylor]: Taking taylor expansion of 4.0 in x 0.950 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.950 * [taylor]: Taking taylor expansion of p in x 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.951 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.952 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.952 * [taylor]: Taking taylor expansion of x in p 0.952 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.952 * [taylor]: Taking taylor expansion of 4.0 in p 0.952 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.952 * [taylor]: Taking taylor expansion of p in p 0.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.952 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.952 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.952 * [taylor]: Taking taylor expansion of x in p 0.952 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.952 * [taylor]: Taking taylor expansion of 4.0 in p 0.952 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.952 * [taylor]: Taking taylor expansion of p in p 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of 0 in x 0.955 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.955 * [taylor]: Taking taylor expansion of 2.0 in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of 0 in x 0.958 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.959 * [taylor]: Taking taylor expansion of 4.0 in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.959 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.959 * [taylor]: Taking taylor expansion of p in x 0.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.961 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.961 * [taylor]: Taking taylor expansion of x in p 0.962 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.962 * [taylor]: Taking taylor expansion of 4.0 in p 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.962 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.962 * [taylor]: Taking taylor expansion of p in p 0.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow p 2))) in p 0.965 * [taylor]: Taking taylor expansion of 4.0 in p 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.965 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.965 * [taylor]: Taking taylor expansion of p in p 0.969 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.969 * [taylor]: Taking taylor expansion of 4.0 in x 0.970 * [taylor]: Taking taylor expansion of 0 in x 0.973 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.973 * [taylor]: Taking taylor expansion of 1/2 in x 0.973 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.973 * [taylor]: Taking taylor expansion of 4.0 in x 0.980 * [taylor]: Taking taylor expansion of 0 in x 0.983 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.983 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.984 * [taylor]: Taking taylor expansion of 4.0 in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.984 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.984 * [taylor]: Taking taylor expansion of p in x 0.986 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.986 * [taylor]: Taking taylor expansion of x in p 0.986 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.986 * [taylor]: Taking taylor expansion of 4.0 in p 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.986 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.986 * [taylor]: Taking taylor expansion of p in p 0.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.990 * [taylor]: Taking taylor expansion of x in p 0.990 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.990 * [taylor]: Taking taylor expansion of 4.0 in p 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.990 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.990 * [taylor]: Taking taylor expansion of p in p 0.993 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.993 * [taylor]: Taking taylor expansion of 4.0 in x 0.994 * [taylor]: Taking taylor expansion of 0 in x 0.997 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.997 * [taylor]: Taking taylor expansion of 1/2 in x 0.997 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.997 * [taylor]: Taking taylor expansion of 4.0 in x 1.004 * [taylor]: Taking taylor expansion of 0 in x 1.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 1.007 * [approximate]: Taking taylor expansion of (/ x (fma (* 4.0 p) p (pow x 2))) in (x p) around 0 1.007 * [taylor]: Taking taylor expansion of (/ x (fma (* 4.0 p) p (pow x 2))) in p 1.007 * [taylor]: Taking taylor expansion of x in p 1.007 * [taylor]: Taking taylor expansion of (fma (* 4.0 p) p (pow x 2)) in p 1.008 * [taylor]: Rewrote expression to (+ (* (* 4.0 p) p) (pow x 2)) 1.008 * [taylor]: Taking taylor expansion of (* (* 4.0 p) p) in p 1.008 * [taylor]: Taking taylor expansion of (* 4.0 p) in p 1.008 * [taylor]: Taking taylor expansion of 4.0 in p 1.008 * [taylor]: Taking taylor expansion of p in p 1.008 * [taylor]: Taking taylor expansion of p in p 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.008 * [taylor]: Taking taylor expansion of x in p 1.008 * [taylor]: Taking taylor expansion of (/ x (fma (* 4.0 p) p (pow x 2))) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (fma (* 4.0 p) p (pow x 2)) in x 1.009 * [taylor]: Rewrote expression to (+ (* (* 4.0 p) p) (pow x 2)) 1.009 * [taylor]: Taking taylor expansion of (* (* 4.0 p) p) in x 1.009 * [taylor]: Taking taylor expansion of (* 4.0 p) in x 1.009 * [taylor]: Taking taylor expansion of 4.0 in x 1.009 * [taylor]: Taking taylor expansion of p in x 1.009 * [taylor]: Taking taylor expansion of p in x 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (/ x (fma (* 4.0 p) p (pow x 2))) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (fma (* 4.0 p) p (pow x 2)) in x 1.009 * [taylor]: Rewrote expression to (+ (* (* 4.0 p) p) (pow x 2)) 1.009 * [taylor]: Taking taylor expansion of (* (* 4.0 p) p) in x 1.009 * [taylor]: Taking taylor expansion of (* 4.0 p) in x 1.009 * [taylor]: Taking taylor expansion of 4.0 in x 1.009 * [taylor]: Taking taylor expansion of p in x 1.009 * [taylor]: Taking taylor expansion of p in x 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (/ 0.25 (pow p 2)) in p 1.009 * [taylor]: Taking taylor expansion of 0.25 in p 1.009 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.009 * [taylor]: Taking taylor expansion of p in p 1.013 * [taylor]: Taking taylor expansion of 0 in p 1.016 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow p 4)))) in p 1.016 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow p 4))) in p 1.016 * [taylor]: Taking taylor expansion of 0.0625 in p 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p 1.016 * [taylor]: Taking taylor expansion of (pow p 4) in p 1.016 * [taylor]: Taking taylor expansion of p in p 1.031 * [approximate]: Taking taylor expansion of (/ 1 (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in (x p) around 0 1.032 * [taylor]: Taking taylor expansion of (/ 1 (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in p 1.032 * [taylor]: Taking taylor expansion of (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2)))) in p 1.032 * [taylor]: Taking taylor expansion of x in p 1.032 * [taylor]: Taking taylor expansion of (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))) in p 1.032 * [taylor]: Rewrote expression to (+ (* (/ 4.0 p) (/ 1 p)) (/ 1 (pow x 2))) 1.032 * [taylor]: Taking taylor expansion of (* (/ 4.0 p) (/ 1 p)) in p 1.032 * [taylor]: Taking taylor expansion of (/ 4.0 p) in p 1.032 * [taylor]: Taking taylor expansion of 4.0 in p 1.032 * [taylor]: Taking taylor expansion of p in p 1.032 * [taylor]: Taking taylor expansion of (/ 1 p) in p 1.032 * [taylor]: Taking taylor expansion of p in p 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.032 * [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 (/ 1 (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in x 1.033 * [taylor]: Taking taylor expansion of (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2)))) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))) in x 1.033 * [taylor]: Rewrote expression to (+ (* (/ 4.0 p) (/ 1 p)) (/ 1 (pow x 2))) 1.033 * [taylor]: Taking taylor expansion of (* (/ 4.0 p) (/ 1 p)) in x 1.033 * [taylor]: Taking taylor expansion of (/ 4.0 p) in x 1.033 * [taylor]: Taking taylor expansion of 4.0 in x 1.033 * [taylor]: Taking taylor expansion of p in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 p) in x 1.034 * [taylor]: Taking taylor expansion of p in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in x 1.036 * [taylor]: Taking taylor expansion of (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2)))) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))) in x 1.036 * [taylor]: Rewrote expression to (+ (* (/ 4.0 p) (/ 1 p)) (/ 1 (pow x 2))) 1.036 * [taylor]: Taking taylor expansion of (* (/ 4.0 p) (/ 1 p)) in x 1.036 * [taylor]: Taking taylor expansion of (/ 4.0 p) in x 1.036 * [taylor]: Taking taylor expansion of 4.0 in x 1.036 * [taylor]: Taking taylor expansion of p in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 p) in x 1.037 * [taylor]: Taking taylor expansion of p in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of 1 in p 1.041 * [taylor]: Taking taylor expansion of 0 in p 1.044 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow p 2)))) in p 1.044 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.044 * [taylor]: Taking taylor expansion of 4.0 in p 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.044 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.044 * [taylor]: Taking taylor expansion of p in p 1.050 * [approximate]: Taking taylor expansion of (/ -1 (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in (x p) around 0 1.050 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in p 1.050 * [taylor]: Taking taylor expansion of -1 in p 1.050 * [taylor]: Taking taylor expansion of (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2)))) in p 1.050 * [taylor]: Taking taylor expansion of x in p 1.050 * [taylor]: Taking taylor expansion of (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))) in p 1.050 * [taylor]: Rewrote expression to (+ (* (/ -4.0 p) (/ -1 p)) (/ 1 (pow x 2))) 1.050 * [taylor]: Taking taylor expansion of (* (/ -4.0 p) (/ -1 p)) in p 1.050 * [taylor]: Taking taylor expansion of (/ -4.0 p) in p 1.050 * [taylor]: Taking taylor expansion of -4.0 in p 1.050 * [taylor]: Taking taylor expansion of p in p 1.050 * [taylor]: Taking taylor expansion of (/ -1 p) in p 1.050 * [taylor]: Taking taylor expansion of -1 in p 1.051 * [taylor]: Taking taylor expansion of p in p 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.051 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.051 * [taylor]: Taking taylor expansion of x in p 1.052 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2)))) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))) in x 1.052 * [taylor]: Rewrote expression to (+ (* (/ -4.0 p) (/ -1 p)) (/ 1 (pow x 2))) 1.052 * [taylor]: Taking taylor expansion of (* (/ -4.0 p) (/ -1 p)) in x 1.052 * [taylor]: Taking taylor expansion of (/ -4.0 p) in x 1.052 * [taylor]: Taking taylor expansion of -4.0 in x 1.052 * [taylor]: Taking taylor expansion of p in x 1.052 * [taylor]: Taking taylor expansion of (/ -1 p) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of p in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2)))) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))) in x 1.055 * [taylor]: Rewrote expression to (+ (* (/ -4.0 p) (/ -1 p)) (/ 1 (pow x 2))) 1.055 * [taylor]: Taking taylor expansion of (* (/ -4.0 p) (/ -1 p)) in x 1.055 * [taylor]: Taking taylor expansion of (/ -4.0 p) in x 1.055 * [taylor]: Taking taylor expansion of -4.0 in x 1.055 * [taylor]: Taking taylor expansion of p in x 1.055 * [taylor]: Taking taylor expansion of (/ -1 p) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of p in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of -1 in p 1.060 * [taylor]: Taking taylor expansion of 0 in p 1.063 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.063 * [taylor]: Taking taylor expansion of 4.0 in p 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.063 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.063 * [taylor]: Taking taylor expansion of p in p 1.068 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 3 2) 1.069 * [approximate]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in (x p) around 0 1.069 * [taylor]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in p 1.069 * [taylor]: Taking taylor expansion of 1.0 in p 1.069 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.069 * [taylor]: Taking taylor expansion of x in p 1.069 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.069 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.069 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.069 * [taylor]: Taking taylor expansion of x in p 1.069 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.069 * [taylor]: Taking taylor expansion of 4.0 in p 1.069 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.069 * [taylor]: Taking taylor expansion of p in p 1.070 * [taylor]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.070 * [taylor]: Taking taylor expansion of 4.0 in x 1.070 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.070 * [taylor]: Taking taylor expansion of p in x 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.071 * [taylor]: Taking taylor expansion of 4.0 in x 1.071 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.071 * [taylor]: Taking taylor expansion of p in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in p 1.075 * [taylor]: Taking taylor expansion of (- (/ (sqrt 0.25) p)) in p 1.075 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.075 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.075 * [taylor]: Taking taylor expansion of 0.25 in p 1.075 * [taylor]: Taking taylor expansion of p in p 1.081 * [taylor]: Taking taylor expansion of 0 in p 1.087 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 1.087 * [taylor]: Taking taylor expansion of 0.03125 in p 1.087 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 1.087 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 1.087 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.087 * [taylor]: Taking taylor expansion of p in p 1.087 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.087 * [taylor]: Taking taylor expansion of 0.25 in p 1.098 * [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 1.098 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.098 * [taylor]: Taking taylor expansion of 1.0 in p 1.098 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.099 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.099 * [taylor]: Taking taylor expansion of x in p 1.099 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.099 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.099 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.099 * [taylor]: Taking taylor expansion of x in p 1.099 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.099 * [taylor]: Taking taylor expansion of 4.0 in p 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.099 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.099 * [taylor]: Taking taylor expansion of p in p 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.104 * [taylor]: Taking taylor expansion of 4.0 in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.104 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.104 * [taylor]: Taking taylor expansion of p in x 1.106 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.107 * [taylor]: Taking taylor expansion of 4.0 in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.107 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.107 * [taylor]: Taking taylor expansion of p in x 1.117 * [taylor]: Taking taylor expansion of 0 in p 1.118 * [taylor]: Taking taylor expansion of 0 in p 1.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.122 * [taylor]: Taking taylor expansion of 2.0 in p 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.122 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.122 * [taylor]: Taking taylor expansion of p in p 1.125 * [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 1.125 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.125 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.125 * [taylor]: Taking taylor expansion of x in p 1.125 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.125 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.125 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.125 * [taylor]: Taking taylor expansion of x in p 1.126 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.126 * [taylor]: Taking taylor expansion of 4.0 in p 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.126 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.126 * [taylor]: Taking taylor expansion of p in p 1.129 * [taylor]: Taking taylor expansion of 1.0 in p 1.129 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.129 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.131 * [taylor]: Taking taylor expansion of 4.0 in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.131 * [taylor]: Taking taylor expansion of p in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.133 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.134 * [taylor]: Taking taylor expansion of 4.0 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.134 * [taylor]: Taking taylor expansion of p in x 1.137 * [taylor]: Taking taylor expansion of 1.0 in x 1.138 * [taylor]: Taking taylor expansion of 2.0 in p 1.139 * [taylor]: Taking taylor expansion of 0 in p 1.142 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.143 * [taylor]: Taking taylor expansion of 2.0 in p 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.143 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.143 * [taylor]: Taking taylor expansion of p in p 1.150 * [taylor]: Taking taylor expansion of 0 in p 1.150 * * * [progress]: simplifying candidates 1.154 * [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 (/ x (fma (* 4.0 p) p (* x x)))) (log1p (/ x (fma (* 4.0 p) p (* x x)))) (- (log x) (log (fma (* 4.0 p) p (* x x)))) (log (/ x (fma (* 4.0 p) p (* x x)))) (exp (/ x (fma (* 4.0 p) p (* x x)))) (/ (* (* x x) x) (* (* (fma (* 4.0 p) p (* x x)) (fma (* 4.0 p) p (* x x))) (fma (* 4.0 p) p (* x x)))) (* (cbrt (/ x (fma (* 4.0 p) p (* x x)))) (cbrt (/ x (fma (* 4.0 p) p (* x x))))) (cbrt (/ x (fma (* 4.0 p) p (* x x)))) (* (* (/ x (fma (* 4.0 p) p (* x x))) (/ x (fma (* 4.0 p) p (* x x)))) (/ x (fma (* 4.0 p) p (* x x)))) (sqrt (/ x (fma (* 4.0 p) p (* x x)))) (sqrt (/ x (fma (* 4.0 p) p (* x x)))) (- x) (- (fma (* 4.0 p) p (* x x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (cbrt x) (cbrt (fma (* 4.0 p) p (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (cbrt x) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (fma (* 4.0 p) p (* x x))) (/ (sqrt x) (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ (sqrt x) (cbrt (fma (* 4.0 p) p (* x x)))) (/ (sqrt x) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (sqrt x) (sqrt (fma (* 4.0 p) p (* x x)))) (/ (sqrt x) 1) (/ (sqrt 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))))) (/ x (cbrt (fma (* 4.0 p) p (* x x)))) (/ 1 (sqrt (fma (* 4.0 p) p (* x x)))) (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (/ 1 1) (/ x (fma (* 4.0 p) p (* x x))) (/ 1 (fma (* 4.0 p) p (* x x))) (/ (fma (* 4.0 p) p (* x x)) x) (/ x (* (cbrt (fma (* 4.0 p) p (* x x))) (cbrt (fma (* 4.0 p) p (* x x))))) (/ x (sqrt (fma (* 4.0 p) p (* x x)))) (/ x 1) (/ (fma (* 4.0 p) p (* x x)) (cbrt x)) (/ (fma (* 4.0 p) p (* x x)) (sqrt x)) (/ (fma (* 4.0 p) p (* x 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 (+ (* (* 4.0 p) p) (* x x)))))) (* (/ (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 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (fma (- (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (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) (cbrt x)) (sqrt 1))))) (fma (- (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (* (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (fma (- (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) (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) (cbrt x)) 1)))) (fma (- (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ (* (cbrt x) (cbrt x)) 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (fma (- (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (* (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) (- (* (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (sqrt (* (cbrt (+ (* (* 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(- (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 (+ (* (* 4.0 p) p) (* x x))))) (- (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 0 0 0 1.0 0 2.0 1.171 * * [simplify]: iteration 0 : 682 enodes (cost 4619 ) 1.182 * * [simplify]: iteration 1 : 2256 enodes (cost 3256 ) 1.219 * * [simplify]: iteration 2 : 5002 enodes (cost 2931 ) 1.231 * [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 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 (fma (* 4.0 p) p (* x x))) 3) (fabs (cbrt (fma (* 4.0 p) p (* x x)))) 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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 (* (/ x (sqrt (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))))) (- 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))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 0 0 0 1.0 0 2.0 1.233 * * * [progress]: adding candidates to table 1.832 * * [progress]: iteration 3 / 4 1.832 * * * [progress]: picking best candidate 1.855 * * * * [pick]: Picked # 1.855 * * * [progress]: localizing error 1.868 * * * [progress]: generating rewritten candidates 1.868 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2) 1.873 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.876 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.890 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 2 1) 1.899 * * * [progress]: generating series expansions 1.899 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2) 1.899 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 1.899 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.899 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.899 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.899 * [taylor]: Taking taylor expansion of 4.0 in x 1.899 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.899 * [taylor]: Taking taylor expansion of p in x 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.901 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.901 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.901 * [taylor]: Taking taylor expansion of x in p 1.901 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.901 * [taylor]: Taking taylor expansion of 4.0 in p 1.901 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.901 * [taylor]: Taking taylor expansion of p in p 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.901 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.901 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.901 * [taylor]: Taking taylor expansion of x in p 1.901 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.902 * [taylor]: Taking taylor expansion of 4.0 in p 1.902 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.902 * [taylor]: Taking taylor expansion of p in p 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of 0 in x 1.904 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 1.904 * [taylor]: Taking taylor expansion of 2.0 in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.907 * [taylor]: Taking taylor expansion of 0 in x 1.908 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 1.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.908 * [taylor]: Taking taylor expansion of 4.0 in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.909 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.909 * [taylor]: Taking taylor expansion of p in x 1.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.911 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.911 * [taylor]: Taking taylor expansion of x in p 1.911 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.911 * [taylor]: Taking taylor expansion of 4.0 in p 1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.911 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.911 * [taylor]: Taking taylor expansion of p in p 1.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.914 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.914 * [taylor]: Taking taylor expansion of x in p 1.914 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.915 * [taylor]: Taking taylor expansion of 4.0 in p 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.915 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.915 * [taylor]: Taking taylor expansion of p in p 1.918 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.918 * [taylor]: Taking taylor expansion of 4.0 in x 1.919 * [taylor]: Taking taylor expansion of 0 in x 1.922 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 1.922 * [taylor]: Taking taylor expansion of 1/2 in x 1.922 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 1.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.922 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.922 * [taylor]: Taking taylor expansion of 4.0 in x 1.929 * [taylor]: Taking taylor expansion of 0 in x 1.932 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 1.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.933 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.933 * [taylor]: Taking taylor expansion of 4.0 in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.933 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.933 * [taylor]: Taking taylor expansion of p in x 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.935 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.935 * [taylor]: Taking taylor expansion of x in p 1.935 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.935 * [taylor]: Taking taylor expansion of 4.0 in p 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.935 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.936 * [taylor]: Taking taylor expansion of p in p 1.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.939 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.939 * [taylor]: Taking taylor expansion of x in p 1.939 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.939 * [taylor]: Taking taylor expansion of 4.0 in p 1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.939 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.939 * [taylor]: Taking taylor expansion of p in p 1.947 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.948 * [taylor]: Taking taylor expansion of 4.0 in x 1.948 * [taylor]: Taking taylor expansion of 0 in x 1.952 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 1.952 * [taylor]: Taking taylor expansion of 1/2 in x 1.952 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 1.952 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.952 * [taylor]: Taking taylor expansion of 4.0 in x 1.958 * [taylor]: Taking taylor expansion of 0 in x 1.962 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.962 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 1.962 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 1.962 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.962 * [taylor]: Taking taylor expansion of x in p 1.962 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.962 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.962 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.962 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.962 * [taylor]: Taking taylor expansion of x in p 1.962 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.962 * [taylor]: Taking taylor expansion of 4.0 in p 1.962 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.962 * [taylor]: Taking taylor expansion of p in p 1.963 * [taylor]: Taking taylor expansion of 1.0 in p 1.963 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.963 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.963 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.963 * [taylor]: Taking taylor expansion of 4.0 in x 1.963 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.963 * [taylor]: Taking taylor expansion of p in x 1.965 * [taylor]: Taking taylor expansion of 1.0 in x 1.965 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.965 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.965 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.965 * [taylor]: Taking taylor expansion of 4.0 in x 1.965 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.965 * [taylor]: Taking taylor expansion of p in x 1.966 * [taylor]: Taking taylor expansion of 1.0 in x 1.967 * [taylor]: Taking taylor expansion of 1.0 in p 1.968 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.968 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.968 * [taylor]: Taking taylor expansion of 0.25 in p 1.968 * [taylor]: Taking taylor expansion of p in p 1.973 * [taylor]: Taking taylor expansion of 0 in p 1.979 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 1.979 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 1.979 * [taylor]: Taking taylor expansion of 0.03125 in p 1.979 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 1.979 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 1.979 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.979 * [taylor]: Taking taylor expansion of p in p 1.979 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.979 * [taylor]: Taking taylor expansion of 0.25 in p 1.991 * [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 1.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.991 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.991 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.991 * [taylor]: Taking taylor expansion of x in p 1.991 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.991 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.991 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.991 * [taylor]: Taking taylor expansion of x in p 1.991 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.991 * [taylor]: Taking taylor expansion of 4.0 in p 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.991 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.991 * [taylor]: Taking taylor expansion of p in p 1.995 * [taylor]: Taking taylor expansion of 1.0 in p 1.995 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.995 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.996 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.996 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.996 * [taylor]: Taking taylor expansion of 4.0 in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.996 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.996 * [taylor]: Taking taylor expansion of p in x 1.999 * [taylor]: Taking taylor expansion of 1.0 in x 1.999 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.999 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.999 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.999 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.999 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.000 * [taylor]: Taking taylor expansion of 4.0 in x 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.000 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.000 * [taylor]: Taking taylor expansion of p in x 2.003 * [taylor]: Taking taylor expansion of 1.0 in x 2.003 * [taylor]: Taking taylor expansion of 2.0 in p 2.005 * [taylor]: Taking taylor expansion of 0 in p 2.008 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.008 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.008 * [taylor]: Taking taylor expansion of 2.0 in p 2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.008 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.008 * [taylor]: Taking taylor expansion of p in p 2.016 * [taylor]: Taking taylor expansion of 0 in p 2.016 * [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 2.016 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.016 * [taylor]: Taking taylor expansion of 1.0 in p 2.016 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.016 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.016 * [taylor]: Taking taylor expansion of x in p 2.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.016 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.017 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.017 * [taylor]: Taking taylor expansion of x in p 2.017 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.017 * [taylor]: Taking taylor expansion of 4.0 in p 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.017 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.017 * [taylor]: Taking taylor expansion of p in p 2.021 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.021 * [taylor]: Taking taylor expansion of 1.0 in x 2.021 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.021 * [taylor]: Taking taylor expansion of 4.0 in x 2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.022 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.022 * [taylor]: Taking taylor expansion of p in x 2.024 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.024 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.025 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.025 * [taylor]: Taking taylor expansion of 4.0 in x 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.025 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.025 * [taylor]: Taking taylor expansion of p in x 2.029 * [taylor]: Taking taylor expansion of 0 in p 2.030 * [taylor]: Taking taylor expansion of 0 in p 2.040 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.040 * [taylor]: Taking taylor expansion of 2.0 in p 2.040 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.040 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.040 * [taylor]: Taking taylor expansion of p in p 2.043 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 2.043 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 2.043 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.043 * [taylor]: Taking taylor expansion of x in p 2.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.043 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.043 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.043 * [taylor]: Taking taylor expansion of x in p 2.043 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.043 * [taylor]: Taking taylor expansion of 4.0 in p 2.043 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.043 * [taylor]: Taking taylor expansion of p in p 2.044 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.044 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.044 * [taylor]: Taking taylor expansion of 4.0 in x 2.044 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.044 * [taylor]: Taking taylor expansion of p in x 2.045 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.045 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.045 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.045 * [taylor]: Taking taylor expansion of 4.0 in x 2.045 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.045 * [taylor]: Taking taylor expansion of p in x 2.047 * [taylor]: Taking taylor expansion of 0 in p 2.047 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.048 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.048 * [taylor]: Taking taylor expansion of 0.25 in p 2.048 * [taylor]: Taking taylor expansion of p in p 2.053 * [taylor]: Taking taylor expansion of 0 in p 2.055 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 2.055 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.055 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.055 * [taylor]: Taking taylor expansion of x in p 2.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.055 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.055 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.055 * [taylor]: Taking taylor expansion of x in p 2.055 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.055 * [taylor]: Taking taylor expansion of 4.0 in p 2.055 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.055 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.055 * [taylor]: Taking taylor expansion of p in p 2.059 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.059 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.060 * [taylor]: Taking taylor expansion of 4.0 in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.060 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.060 * [taylor]: Taking taylor expansion of p in x 2.062 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.063 * [taylor]: Taking taylor expansion of 4.0 in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.063 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.063 * [taylor]: Taking taylor expansion of p in x 2.066 * [taylor]: Taking taylor expansion of 1 in p 2.067 * [taylor]: Taking taylor expansion of 0 in p 2.071 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.071 * [taylor]: Taking taylor expansion of 2.0 in p 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.071 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.071 * [taylor]: Taking taylor expansion of p in p 2.075 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in (x p) around 0 2.075 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.075 * [taylor]: Taking taylor expansion of -1 in p 2.075 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.075 * [taylor]: Taking taylor expansion of x in p 2.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.075 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow p 2))) in p 2.076 * [taylor]: Taking taylor expansion of 4.0 in p 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.076 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.076 * [taylor]: Taking taylor expansion of p in p 2.080 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.080 * [taylor]: Taking taylor expansion of -1 in x 2.080 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.081 * [taylor]: Taking taylor expansion of 4.0 in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.081 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.081 * [taylor]: Taking taylor expansion of p in x 2.083 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.083 * [taylor]: Taking taylor expansion of -1 in x 2.083 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.084 * [taylor]: Taking taylor expansion of 4.0 in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.084 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.084 * [taylor]: Taking taylor expansion of p in x 2.088 * [taylor]: Taking taylor expansion of -1 in p 2.089 * [taylor]: Taking taylor expansion of 0 in p 2.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.093 * [taylor]: Taking taylor expansion of 2.0 in p 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.093 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.093 * [taylor]: Taking taylor expansion of p in p 2.097 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 2 1) 2.097 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in (p x) around 0 2.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.098 * [taylor]: Taking taylor expansion of 4.0 in x 2.098 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.098 * [taylor]: Taking taylor expansion of p in x 2.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.098 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.098 * [taylor]: Taking taylor expansion of x in p 2.098 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.098 * [taylor]: Taking taylor expansion of 4.0 in p 2.098 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.098 * [taylor]: Taking taylor expansion of p in p 2.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.098 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.098 * [taylor]: Taking taylor expansion of x in p 2.098 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.098 * [taylor]: Taking taylor expansion of 4.0 in p 2.098 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.098 * [taylor]: Taking taylor expansion of p in p 2.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of 0 in x 2.099 * [taylor]: Taking taylor expansion of 4.0 in x 2.101 * [taylor]: Taking taylor expansion of 0 in x 2.104 * [taylor]: Taking taylor expansion of 0 in x 2.104 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.104 * [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 2.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.105 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.105 * [taylor]: Taking taylor expansion of x in p 2.105 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.105 * [taylor]: Taking taylor expansion of 4.0 in p 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.105 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.105 * [taylor]: Taking taylor expansion of p in p 2.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.106 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.106 * [taylor]: Taking taylor expansion of x in p 2.106 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.106 * [taylor]: Taking taylor expansion of 4.0 in p 2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.106 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.106 * [taylor]: Taking taylor expansion of p in p 2.107 * [taylor]: Taking taylor expansion of 4.0 in x 2.109 * [taylor]: Taking taylor expansion of 0 in x 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.110 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of 0 in x 2.116 * [taylor]: Taking taylor expansion of 0 in x 2.118 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 2.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.118 * [taylor]: Taking taylor expansion of x in x 2.118 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.119 * [taylor]: Taking taylor expansion of 4.0 in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.119 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.119 * [taylor]: Taking taylor expansion of p in x 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.119 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.119 * [taylor]: Taking taylor expansion of x in p 2.119 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.119 * [taylor]: Taking taylor expansion of 4.0 in p 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.119 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.119 * [taylor]: Taking taylor expansion of p in p 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.120 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.120 * [taylor]: Taking taylor expansion of x in p 2.120 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.120 * [taylor]: Taking taylor expansion of 4.0 in p 2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.120 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.120 * [taylor]: Taking taylor expansion of p in p 2.121 * [taylor]: Taking taylor expansion of 4.0 in x 2.122 * [taylor]: Taking taylor expansion of 0 in x 2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.133 * [taylor]: Taking taylor expansion of 0 in x 2.136 * [taylor]: Taking taylor expansion of 0 in x 2.137 * * * [progress]: simplifying candidates 2.139 * [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 (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (log1p (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (exp 1.0) (exp (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (log (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (exp (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (* (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ (pow 1.0 3) (pow (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3)) (+ (* 1.0 1.0) (- (* (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (- (* 1.0 1.0) (* (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (expm1 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ (log x) (- (log (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (log x) (- 0 (log (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (log x) (- (log 1) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (log x) (log (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (* x x) x) (* (* (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (* (cbrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* x (sqrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* x (/ (sqrt 1) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))))) (* x (/ (sqrt 1) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (/ (sqrt 1) (sqrt 1))) (* x (/ (sqrt 1) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* x (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))))) (* x (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (/ 1 (sqrt 1))) (* x (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))))) (* x (/ 1 (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))))) (* (cbrt x) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (sqrt x) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* x 1) (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 0 0 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))) 2.146 * * [simplify]: iteration 0 : 405 enodes (cost 866 ) 2.157 * * [simplify]: iteration 1 : 1987 enodes (cost 780 ) 2.191 * * [simplify]: iteration 2 : 5002 enodes (cost 742 ) 2.195 * [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 (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (log1p (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (exp (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (log (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (exp (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (pow (+ (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1.0) 3) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ (pow 1.0 3) (pow (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3)) (fma (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (- (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1.0) (* 1.0 1.0)) (fma (- (* x x)) (/ 1 (fma (* 4.0 p) p (* x x))) (* 1.0 1.0)) (- 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (expm1 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (* (cbrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (sqrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* x (* (cbrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* x (sqrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x x x (/ x (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) (* (cbrt x) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x 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 (* (pow p 3) 4.0)) p (* (pow x 2) (- (pow x 2) (* (* 4.0 p) p)))) (fma (* 4.0 (* (pow p 3) 4.0)) p (* (- (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 0 0 0 (fma (* 4.0 p) p (* x x)) (fma (* 4.0 p) p (* x x)) (fma (* 4.0 p) p (* x x)) 2.195 * * * [progress]: adding candidates to table 2.509 * * [progress]: iteration 4 / 4 2.509 * * * [progress]: picking best candidate 2.528 * * * * [pick]: Picked # 2.528 * * * [progress]: localizing error 2.542 * * * [progress]: generating rewritten candidates 2.542 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 1) 2.548 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2 1 1) 2.553 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.563 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2) 2.587 * * * [progress]: generating series expansions 2.587 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 1) 2.587 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.587 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.587 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.587 * [taylor]: Taking taylor expansion of 4.0 in x 2.587 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.587 * [taylor]: Taking taylor expansion of p in x 2.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.588 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.588 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.588 * [taylor]: Taking taylor expansion of x in p 2.588 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.588 * [taylor]: Taking taylor expansion of 4.0 in p 2.588 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.588 * [taylor]: Taking taylor expansion of p in p 2.589 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.589 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.589 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.589 * [taylor]: Taking taylor expansion of x in p 2.589 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.589 * [taylor]: Taking taylor expansion of 4.0 in p 2.589 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.589 * [taylor]: Taking taylor expansion of p in p 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of 0 in x 2.592 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.592 * [taylor]: Taking taylor expansion of 2.0 in x 2.592 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of 0 in x 2.595 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.596 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.596 * [taylor]: Taking taylor expansion of 4.0 in x 2.596 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.596 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.596 * [taylor]: Taking taylor expansion of p in x 2.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.598 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.598 * [taylor]: Taking taylor expansion of x in p 2.598 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.598 * [taylor]: Taking taylor expansion of 4.0 in p 2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.598 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.598 * [taylor]: Taking taylor expansion of p in p 2.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.601 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.601 * [taylor]: Taking taylor expansion of x in p 2.602 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.602 * [taylor]: Taking taylor expansion of 4.0 in p 2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.602 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.602 * [taylor]: Taking taylor expansion of p in p 2.605 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.605 * [taylor]: Taking taylor expansion of 4.0 in x 2.605 * [taylor]: Taking taylor expansion of 0 in x 2.614 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.614 * [taylor]: Taking taylor expansion of 1/2 in x 2.614 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.614 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.614 * [taylor]: Taking taylor expansion of 4.0 in x 2.621 * [taylor]: Taking taylor expansion of 0 in x 2.624 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.624 * [taylor]: Taking taylor expansion of x in x 2.625 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.625 * [taylor]: Taking taylor expansion of 4.0 in x 2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.625 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.625 * [taylor]: Taking taylor expansion of p in x 2.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.627 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.627 * [taylor]: Taking taylor expansion of x in p 2.627 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.627 * [taylor]: Taking taylor expansion of 4.0 in p 2.627 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.627 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.628 * [taylor]: Taking taylor expansion of p in p 2.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.631 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.631 * [taylor]: Taking taylor expansion of x in p 2.631 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.631 * [taylor]: Taking taylor expansion of 4.0 in p 2.631 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.631 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.631 * [taylor]: Taking taylor expansion of p in p 2.634 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.634 * [taylor]: Taking taylor expansion of 4.0 in x 2.635 * [taylor]: Taking taylor expansion of 0 in x 2.638 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.638 * [taylor]: Taking taylor expansion of 1/2 in x 2.638 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.638 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.638 * [taylor]: Taking taylor expansion of 4.0 in x 2.645 * [taylor]: Taking taylor expansion of 0 in x 2.648 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2 1 1) 2.649 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 (pow p 2)) in x 2.649 * [taylor]: Taking taylor expansion of 4.0 in x 2.649 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.649 * [taylor]: Taking taylor expansion of p in x 2.650 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.650 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.650 * [taylor]: Taking taylor expansion of x in p 2.650 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.650 * [taylor]: Taking taylor expansion of 4.0 in p 2.650 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.650 * [taylor]: Taking taylor expansion of p in p 2.650 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.650 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.650 * [taylor]: Taking taylor expansion of x in p 2.650 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.651 * [taylor]: Taking taylor expansion of 4.0 in p 2.651 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.651 * [taylor]: Taking taylor expansion of p in p 2.651 * [taylor]: Taking taylor expansion of x in x 2.651 * [taylor]: Taking taylor expansion of 0 in x 2.653 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.653 * [taylor]: Taking taylor expansion of 2.0 in x 2.653 * [taylor]: Taking taylor expansion of x in x 2.656 * [taylor]: Taking taylor expansion of 0 in x 2.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.656 * [taylor]: Taking taylor expansion of x in x 2.657 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.657 * [taylor]: Taking taylor expansion of 4.0 in x 2.657 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.657 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.657 * [taylor]: Taking taylor expansion of p in x 2.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.659 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.659 * [taylor]: Taking taylor expansion of x in p 2.659 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.659 * [taylor]: Taking taylor expansion of 4.0 in p 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.659 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.659 * [taylor]: Taking taylor expansion of p in p 2.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.663 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.663 * [taylor]: Taking taylor expansion of x in p 2.663 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.663 * [taylor]: Taking taylor expansion of 4.0 in p 2.663 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.663 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.663 * [taylor]: Taking taylor expansion of p in p 2.666 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.666 * [taylor]: Taking taylor expansion of 4.0 in x 2.667 * [taylor]: Taking taylor expansion of 0 in x 2.670 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.670 * [taylor]: Taking taylor expansion of 1/2 in x 2.670 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.670 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.670 * [taylor]: Taking taylor expansion of 4.0 in x 2.677 * [taylor]: Taking taylor expansion of 0 in x 2.681 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.681 * [taylor]: Taking taylor expansion of x in x 2.682 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.682 * [taylor]: Taking taylor expansion of 4.0 in x 2.682 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.682 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.682 * [taylor]: Taking taylor expansion of p in x 2.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.684 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.684 * [taylor]: Taking taylor expansion of x in p 2.684 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.684 * [taylor]: Taking taylor expansion of 4.0 in p 2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.684 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.684 * [taylor]: Taking taylor expansion of p in p 2.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.687 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.687 * [taylor]: Taking taylor expansion of x in p 2.687 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.687 * [taylor]: Taking taylor expansion of 4.0 in p 2.687 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.687 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.687 * [taylor]: Taking taylor expansion of p in p 2.691 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.691 * [taylor]: Taking taylor expansion of 4.0 in x 2.692 * [taylor]: Taking taylor expansion of 0 in x 2.695 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.695 * [taylor]: Taking taylor expansion of 1/2 in x 2.695 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.695 * [taylor]: Taking taylor expansion of x in x 2.695 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.695 * [taylor]: Taking taylor expansion of 4.0 in x 2.707 * [taylor]: Taking taylor expansion of 0 in x 2.710 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.711 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 2.711 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.711 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.711 * [taylor]: Taking taylor expansion of x in p 2.711 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.711 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.711 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.711 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.711 * [taylor]: Taking taylor expansion of x in p 2.711 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.711 * [taylor]: Taking taylor expansion of 4.0 in p 2.711 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.711 * [taylor]: Taking taylor expansion of p in p 2.712 * [taylor]: Taking taylor expansion of 1.0 in p 2.712 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.712 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.712 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.712 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.712 * [taylor]: Taking taylor expansion of 4.0 in x 2.712 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.712 * [taylor]: Taking taylor expansion of p in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.713 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.713 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.713 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.713 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.713 * [taylor]: Taking taylor expansion of 4.0 in x 2.714 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.714 * [taylor]: Taking taylor expansion of p in x 2.715 * [taylor]: Taking taylor expansion of 1.0 in x 2.716 * [taylor]: Taking taylor expansion of 1.0 in p 2.717 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.717 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.717 * [taylor]: Taking taylor expansion of 0.25 in p 2.717 * [taylor]: Taking taylor expansion of p in p 2.723 * [taylor]: Taking taylor expansion of 0 in p 2.729 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 2.729 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 2.729 * [taylor]: Taking taylor expansion of 0.03125 in p 2.729 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 2.729 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 2.729 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.729 * [taylor]: Taking taylor expansion of p in p 2.729 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.729 * [taylor]: Taking taylor expansion of 0.25 in p 2.742 * [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 2.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 2.742 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.742 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.742 * [taylor]: Taking taylor expansion of x in p 2.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.742 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.742 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.742 * [taylor]: Taking taylor expansion of x in p 2.742 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.742 * [taylor]: Taking taylor expansion of 4.0 in p 2.742 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.742 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.742 * [taylor]: Taking taylor expansion of p in p 2.746 * [taylor]: Taking taylor expansion of 1.0 in p 2.746 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.746 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.747 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.747 * [taylor]: Taking taylor expansion of 4.0 in x 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.747 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.747 * [taylor]: Taking taylor expansion of p in x 2.750 * [taylor]: Taking taylor expansion of 1.0 in x 2.751 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.751 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.752 * [taylor]: Taking taylor expansion of 4.0 in x 2.752 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.752 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.752 * [taylor]: Taking taylor expansion of p in x 2.754 * [taylor]: Taking taylor expansion of 1.0 in x 2.755 * [taylor]: Taking taylor expansion of 2.0 in p 2.756 * [taylor]: Taking taylor expansion of 0 in p 2.760 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.760 * [taylor]: Taking taylor expansion of 2.0 in p 2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.760 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.760 * [taylor]: Taking taylor expansion of p in p 2.768 * [taylor]: Taking taylor expansion of 0 in p 2.769 * [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 2.769 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.769 * [taylor]: Taking taylor expansion of 1.0 in p 2.769 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.769 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.769 * [taylor]: Taking taylor expansion of x in p 2.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.769 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.769 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.769 * [taylor]: Taking taylor expansion of x in p 2.769 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.769 * [taylor]: Taking taylor expansion of 4.0 in p 2.769 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.769 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.769 * [taylor]: Taking taylor expansion of p in p 2.773 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.773 * [taylor]: Taking taylor expansion of 1.0 in x 2.773 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.773 * [taylor]: Taking taylor expansion of x in x 2.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.774 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.774 * [taylor]: Taking taylor expansion of x in x 2.774 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.774 * [taylor]: Taking taylor expansion of 4.0 in x 2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.774 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.774 * [taylor]: Taking taylor expansion of p in x 2.777 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.777 * [taylor]: Taking taylor expansion of 1.0 in x 2.777 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.777 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.778 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.778 * [taylor]: Taking taylor expansion of 4.0 in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.778 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.778 * [taylor]: Taking taylor expansion of p in x 2.782 * [taylor]: Taking taylor expansion of 0 in p 2.783 * [taylor]: Taking taylor expansion of 0 in p 2.787 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.787 * [taylor]: Taking taylor expansion of 2.0 in p 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.787 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.787 * [taylor]: Taking taylor expansion of p in p 2.796 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2) 2.797 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.797 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.797 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.797 * [taylor]: Taking taylor expansion of x in x 2.797 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.797 * [taylor]: Taking taylor expansion of 4.0 in x 2.797 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.797 * [taylor]: Taking taylor expansion of p in x 2.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.798 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.798 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.798 * [taylor]: Taking taylor expansion of x in p 2.798 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.798 * [taylor]: Taking taylor expansion of 4.0 in p 2.798 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.798 * [taylor]: Taking taylor expansion of p in p 2.799 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.799 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.799 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.799 * [taylor]: Taking taylor expansion of x in p 2.799 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.799 * [taylor]: Taking taylor expansion of 4.0 in p 2.799 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.799 * [taylor]: Taking taylor expansion of p in p 2.799 * [taylor]: Taking taylor expansion of x in x 2.799 * [taylor]: Taking taylor expansion of 0 in x 2.801 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.802 * [taylor]: Taking taylor expansion of 2.0 in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of 0 in x 2.805 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.805 * [taylor]: Taking taylor expansion of x in x 2.806 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.806 * [taylor]: Taking taylor expansion of 4.0 in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.806 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.806 * [taylor]: Taking taylor expansion of p in x 2.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.808 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.808 * [taylor]: Taking taylor expansion of x in p 2.808 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.808 * [taylor]: Taking taylor expansion of 4.0 in p 2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.808 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.808 * [taylor]: Taking taylor expansion of p in p 2.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.812 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.812 * [taylor]: Taking taylor expansion of x in p 2.812 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.812 * [taylor]: Taking taylor expansion of 4.0 in p 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.812 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.812 * [taylor]: Taking taylor expansion of p in p 2.815 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.815 * [taylor]: Taking taylor expansion of 4.0 in x 2.816 * [taylor]: Taking taylor expansion of 0 in x 2.819 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.819 * [taylor]: Taking taylor expansion of 1/2 in x 2.819 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.819 * [taylor]: Taking taylor expansion of x in x 2.819 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.819 * [taylor]: Taking taylor expansion of 4.0 in x 2.826 * [taylor]: Taking taylor expansion of 0 in x 2.830 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.830 * [taylor]: Taking taylor expansion of x in x 2.831 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.831 * [taylor]: Taking taylor expansion of 4.0 in x 2.831 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.831 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.831 * [taylor]: Taking taylor expansion of p in x 2.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.833 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.833 * [taylor]: Taking taylor expansion of x in p 2.833 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.833 * [taylor]: Taking taylor expansion of 4.0 in p 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.833 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.833 * [taylor]: Taking taylor expansion of p in p 2.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.836 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.837 * [taylor]: Taking taylor expansion of x in p 2.837 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.837 * [taylor]: Taking taylor expansion of 4.0 in p 2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.837 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.837 * [taylor]: Taking taylor expansion of p in p 2.840 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.840 * [taylor]: Taking taylor expansion of 4.0 in x 2.841 * [taylor]: Taking taylor expansion of 0 in x 2.844 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.844 * [taylor]: Taking taylor expansion of 1/2 in x 2.844 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.844 * [taylor]: Taking taylor expansion of x in x 2.844 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.844 * [taylor]: Taking taylor expansion of 4.0 in x 2.856 * [taylor]: Taking taylor expansion of 0 in x 2.862 * * * [progress]: simplifying candidates 2.866 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log1p (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (exp 1.0) (exp (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (* (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (+ (pow 1.0 3) (pow (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) 3)) (+ (* 1.0 1.0) (- (* (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (- (* 1.0 1.0) (* (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (- 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (expm1 (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 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)))) (* (+ (* (* 4.0 p) p) (* x x)) (+ (* (* 4.0 p) p) (* x x))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) 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4.0 p) p) (* x x))))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))))) (* (sqrt (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (sqrt (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* 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))) 1.0 2.0 0 x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 2.878 * * [simplify]: iteration 0 : 305 enodes (cost 1424 ) 2.885 * * [simplify]: iteration 1 : 1151 enodes (cost 1313 ) 2.915 * * [simplify]: iteration 2 : 5001 enodes (cost 1274 ) 2.921 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) 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(* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ (* (* 4.0 p) p) (* x x))) (pow (sqrt (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ (* (* 4.0 p) p) (* x x))) (pow (sqrt (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ (* (* 4.0 p) p) (* x x))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x 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 2.0 0 x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 2.922 * * * [progress]: adding candidates to table 3.314 * [progress]: [Phase 3 of 3] Extracting. 3.314 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.318 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 4.0 p) p) x p) 3.318 * * * * [regimes]: Trying to branch on (* (* 4.0 p) p) from (# # # # # # #) 3.355 * * * * [regimes]: Trying to branch on (* (* 4.0 p) p) from (# # # # #) 3.378 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.415 * * * * [regimes]: Trying to branch on p from (# # # # # # #) 3.453 * * * [regime]: Found split indices: #