8.398 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.035 * * [simplify]: iteration 0 : 28 enodes (cost 9 ) 0.037 * * [simplify]: iteration 1 : 40 enodes (cost 9 ) 0.038 * * [simplify]: iteration 2 : 48 enodes (cost 9 ) 0.040 * * [simplify]: iteration 3 : 50 enodes (cost 9 ) 0.041 * * [simplify]: iteration 4 : 52 enodes (cost 9 ) 0.043 * * [simplify]: iteration 5 : 53 enodes (cost 9 ) 0.044 * * [simplify]: iteration 6 : 53 enodes (cost 9 ) 0.044 * [simplify]: Simplified to: (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 0.063 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.075 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 1) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 0.095 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.095 * [taylor]: Taking taylor expansion of 4.0 in x 0.095 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.095 * [taylor]: Taking taylor expansion of p in x 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.096 * [taylor]: Taking taylor expansion of x in p 0.096 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.096 * [taylor]: Taking taylor expansion of 4.0 in p 0.097 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.097 * [taylor]: Taking taylor expansion of p in p 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.097 * [taylor]: Taking taylor expansion of x in p 0.097 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.097 * [taylor]: Taking taylor expansion of 4.0 in p 0.097 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.097 * [taylor]: Taking taylor expansion of p in p 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of 0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.100 * [taylor]: Taking taylor expansion of 2.0 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 0 in x 0.103 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.104 * [taylor]: Taking taylor expansion of 4.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.104 * [taylor]: Taking taylor expansion of p in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.106 * [taylor]: Taking taylor expansion of x in p 0.106 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.106 * [taylor]: Taking taylor expansion of 4.0 in p 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.106 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.106 * [taylor]: Taking taylor expansion of p in p 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.109 * [taylor]: Taking taylor expansion of x in p 0.109 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.109 * [taylor]: Taking taylor expansion of 4.0 in p 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.109 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.109 * [taylor]: Taking taylor expansion of p in p 0.112 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.112 * [taylor]: Taking taylor expansion of 4.0 in x 0.113 * [taylor]: Taking taylor expansion of 0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.116 * [taylor]: Taking taylor expansion of 1/2 in x 0.116 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.116 * [taylor]: Taking taylor expansion of 4.0 in x 0.122 * [taylor]: Taking taylor expansion of 0 in x 0.126 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.127 * [taylor]: Taking taylor expansion of 4.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.127 * [taylor]: Taking taylor expansion of p in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.129 * [taylor]: Taking taylor expansion of x in p 0.129 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.129 * [taylor]: Taking taylor expansion of 4.0 in p 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.129 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.129 * [taylor]: Taking taylor expansion of p in p 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.132 * [taylor]: Taking taylor expansion of x in p 0.133 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.133 * [taylor]: Taking taylor expansion of 4.0 in p 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.133 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.133 * [taylor]: Taking taylor expansion of p in p 0.136 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.136 * [taylor]: Taking taylor expansion of 4.0 in x 0.136 * [taylor]: Taking taylor expansion of 0 in x 0.139 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.139 * [taylor]: Taking taylor expansion of 1/2 in x 0.139 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.140 * [taylor]: Taking taylor expansion of 4.0 in x 0.146 * [taylor]: Taking taylor expansion of 0 in x 0.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.150 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 0.150 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.150 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.150 * [taylor]: Taking taylor expansion of x in p 0.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.150 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.150 * [taylor]: Taking taylor expansion of x in p 0.150 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.150 * [taylor]: Taking taylor expansion of 4.0 in p 0.150 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.150 * [taylor]: Taking taylor expansion of p in p 0.151 * [taylor]: Taking taylor expansion of 1.0 in p 0.151 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.151 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.151 * [taylor]: Taking taylor expansion of 4.0 in x 0.151 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.151 * [taylor]: Taking taylor expansion of p in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.152 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.152 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.152 * [taylor]: Taking taylor expansion of 4.0 in x 0.152 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.152 * [taylor]: Taking taylor expansion of p in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in p 0.155 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.155 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.155 * [taylor]: Taking taylor expansion of 0.25 in p 0.156 * [taylor]: Taking taylor expansion of p in p 0.160 * [taylor]: Taking taylor expansion of 0 in p 0.166 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 0.166 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 0.166 * [taylor]: Taking taylor expansion of 0.03125 in p 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 0.166 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 0.166 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.166 * [taylor]: Taking taylor expansion of p in p 0.166 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.166 * [taylor]: Taking taylor expansion of 0.25 in p 0.183 * [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 0.183 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.183 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.183 * [taylor]: Taking taylor expansion of x in p 0.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.183 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.183 * [taylor]: Taking taylor expansion of x in p 0.183 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.183 * [taylor]: Taking taylor expansion of 4.0 in p 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.183 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.183 * [taylor]: Taking taylor expansion of p in p 0.187 * [taylor]: Taking taylor expansion of 1.0 in p 0.187 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.187 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.188 * [taylor]: Taking taylor expansion of 4.0 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.188 * [taylor]: Taking taylor expansion of p in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.190 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.191 * [taylor]: Taking taylor expansion of 4.0 in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.191 * [taylor]: Taking taylor expansion of p in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [taylor]: Taking taylor expansion of 2.0 in p 0.195 * [taylor]: Taking taylor expansion of 0 in p 0.199 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.199 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.199 * [taylor]: Taking taylor expansion of 2.0 in p 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.199 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.199 * [taylor]: Taking taylor expansion of p in p 0.206 * [taylor]: Taking taylor expansion of 0 in p 0.207 * [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 0.207 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.207 * [taylor]: Taking taylor expansion of 1.0 in p 0.207 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.207 * [taylor]: Taking taylor expansion of x in p 0.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.207 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.207 * [taylor]: Taking taylor expansion of x in p 0.207 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.207 * [taylor]: Taking taylor expansion of 4.0 in p 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.207 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.207 * [taylor]: Taking taylor expansion of p in p 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.212 * [taylor]: Taking taylor expansion of 4.0 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.212 * [taylor]: Taking taylor expansion of p in x 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.215 * [taylor]: Taking taylor expansion of 4.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.215 * [taylor]: Taking taylor expansion of p in x 0.219 * [taylor]: Taking taylor expansion of 0 in p 0.220 * [taylor]: Taking taylor expansion of 0 in p 0.224 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.224 * [taylor]: Taking taylor expansion of 2.0 in p 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.224 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.224 * [taylor]: Taking taylor expansion of p in p 0.226 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.227 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 0.227 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.227 * [taylor]: Taking taylor expansion of x in p 0.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.227 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.227 * [taylor]: Taking taylor expansion of x in p 0.227 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.227 * [taylor]: Taking taylor expansion of 4.0 in p 0.227 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.227 * [taylor]: Taking taylor expansion of p in p 0.228 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.228 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.228 * [taylor]: Taking taylor expansion of 4.0 in x 0.228 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.228 * [taylor]: Taking taylor expansion of p in x 0.229 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.229 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.229 * [taylor]: Taking taylor expansion of 4.0 in x 0.229 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.229 * [taylor]: Taking taylor expansion of p in x 0.231 * [taylor]: Taking taylor expansion of 0 in p 0.231 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.231 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.231 * [taylor]: Taking taylor expansion of 0.25 in p 0.232 * [taylor]: Taking taylor expansion of p in p 0.236 * [taylor]: Taking taylor expansion of 0 in p 0.238 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 0.238 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.238 * [taylor]: Taking taylor expansion of x in p 0.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.238 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.238 * [taylor]: Taking taylor expansion of x in p 0.238 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.238 * [taylor]: Taking taylor expansion of 4.0 in p 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.238 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.238 * [taylor]: Taking taylor expansion of p in p 0.242 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.243 * [taylor]: Taking taylor expansion of 4.0 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.243 * [taylor]: Taking taylor expansion of p in x 0.245 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.246 * [taylor]: Taking taylor expansion of 4.0 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.246 * [taylor]: Taking taylor expansion of p in x 0.249 * [taylor]: Taking taylor expansion of 1 in p 0.250 * [taylor]: Taking taylor expansion of 0 in p 0.253 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.253 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.253 * [taylor]: Taking taylor expansion of 2.0 in p 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.253 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.253 * [taylor]: Taking taylor expansion of p in p 0.263 * [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 0.263 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.263 * [taylor]: Taking taylor expansion of -1 in p 0.263 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.263 * [taylor]: Taking taylor expansion of x in p 0.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.263 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.263 * [taylor]: Taking taylor expansion of x in p 0.263 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.263 * [taylor]: Taking taylor expansion of 4.0 in p 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.263 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.263 * [taylor]: Taking taylor expansion of p in p 0.267 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.267 * [taylor]: Taking taylor expansion of -1 in x 0.267 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.268 * [taylor]: Taking taylor expansion of 4.0 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.268 * [taylor]: Taking taylor expansion of p in x 0.271 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.271 * [taylor]: Taking taylor expansion of -1 in x 0.271 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.272 * [taylor]: Taking taylor expansion of 4.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.272 * [taylor]: Taking taylor expansion of p in x 0.275 * [taylor]: Taking taylor expansion of -1 in p 0.277 * [taylor]: Taking taylor expansion of 0 in p 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.281 * [taylor]: Taking taylor expansion of 2.0 in p 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.281 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.281 * [taylor]: Taking taylor expansion of p in p 0.285 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1) 0.285 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in (p x) around 0 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.286 * [taylor]: Taking taylor expansion of 4.0 in x 0.286 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.286 * [taylor]: Taking taylor expansion of p in x 0.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.286 * [taylor]: Taking taylor expansion of x in p 0.286 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.286 * [taylor]: Taking taylor expansion of 4.0 in p 0.286 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.286 * [taylor]: Taking taylor expansion of p in p 0.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.286 * [taylor]: Taking taylor expansion of x in p 0.286 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.286 * [taylor]: Taking taylor expansion of 4.0 in p 0.286 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.286 * [taylor]: Taking taylor expansion of p in p 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 0 in x 0.287 * [taylor]: Taking taylor expansion of 4.0 in x 0.289 * [taylor]: Taking taylor expansion of 0 in x 0.292 * [taylor]: Taking taylor expansion of 0 in x 0.292 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.293 * [taylor]: Taking taylor expansion of 4.0 in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.293 * [taylor]: Taking taylor expansion of p in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.293 * [taylor]: Taking taylor expansion of x in p 0.293 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.293 * [taylor]: Taking taylor expansion of 4.0 in p 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.293 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.293 * [taylor]: Taking taylor expansion of p in p 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.294 * [taylor]: Taking taylor expansion of x in p 0.294 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.294 * [taylor]: Taking taylor expansion of 4.0 in p 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.294 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.294 * [taylor]: Taking taylor expansion of p in p 0.295 * [taylor]: Taking taylor expansion of 4.0 in x 0.296 * [taylor]: Taking taylor expansion of 0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 0 in x 0.304 * [taylor]: Taking taylor expansion of 0 in x 0.305 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.306 * [taylor]: Taking taylor expansion of 4.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.306 * [taylor]: Taking taylor expansion of p in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.306 * [taylor]: Taking taylor expansion of x in p 0.306 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.306 * [taylor]: Taking taylor expansion of 4.0 in p 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.306 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.306 * [taylor]: Taking taylor expansion of p in p 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.307 * [taylor]: Taking taylor expansion of x in p 0.307 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.307 * [taylor]: Taking taylor expansion of 4.0 in p 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.307 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.307 * [taylor]: Taking taylor expansion of p in p 0.308 * [taylor]: Taking taylor expansion of 4.0 in x 0.310 * [taylor]: Taking taylor expansion of 0 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 0.314 * [taylor]: Taking taylor expansion of 0 in x 0.317 * [taylor]: Taking taylor expansion of 0 in x 0.318 * * * [progress]: simplifying candidates 0.320 * [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))) 0.326 * * [simplify]: iteration 0 : 296 enodes (cost 867 ) 0.331 * * [simplify]: iteration 1 : 1081 enodes (cost 815 ) 0.352 * * [simplify]: iteration 2 : 4584 enodes (cost 798 ) 0.463 * * [simplify]: iteration 3 : 5001 enodes (cost 795 ) 0.467 * [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)) 0.468 * * * [progress]: adding candidates to table 0.751 * * [progress]: iteration 2 / 4 0.751 * * * [progress]: picking best candidate 0.790 * * * * [pick]: Picked # 0.790 * * * [progress]: localizing error 0.816 * * * [progress]: generating rewritten candidates 0.816 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 3 2 2 2) 0.821 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 2) 0.826 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 0.829 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 3 2) 0.853 * * * [progress]: generating series expansions 0.853 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 3 2 2 2) 0.853 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.853 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.853 * [taylor]: Taking taylor expansion of 4.0 in x 0.853 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.853 * [taylor]: Taking taylor expansion of p in x 0.854 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.854 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.854 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.854 * [taylor]: Taking taylor expansion of x in p 0.854 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.854 * [taylor]: Taking taylor expansion of 4.0 in p 0.854 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.854 * [taylor]: Taking taylor expansion of p in p 0.855 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.855 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.855 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.855 * [taylor]: Taking taylor expansion of x in p 0.855 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.855 * [taylor]: Taking taylor expansion of 4.0 in p 0.855 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.855 * [taylor]: Taking taylor expansion of p in p 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 0 in x 0.858 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.858 * [taylor]: Taking taylor expansion of 2.0 in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of 0 in x 0.861 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.862 * [taylor]: Taking taylor expansion of 4.0 in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.862 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.862 * [taylor]: Taking taylor expansion of p in x 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.864 * [taylor]: Taking taylor expansion of x in p 0.864 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.864 * [taylor]: Taking taylor expansion of 4.0 in p 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.864 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.864 * [taylor]: Taking taylor expansion of p in p 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.867 * [taylor]: Taking taylor expansion of x in p 0.868 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.868 * [taylor]: Taking taylor expansion of 4.0 in p 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.868 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.868 * [taylor]: Taking taylor expansion of p in p 0.871 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.871 * [taylor]: Taking taylor expansion of 4.0 in x 0.871 * [taylor]: Taking taylor expansion of 0 in x 0.874 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.874 * [taylor]: Taking taylor expansion of 1/2 in x 0.874 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.875 * [taylor]: Taking taylor expansion of 4.0 in x 0.881 * [taylor]: Taking taylor expansion of 0 in x 0.885 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.885 * [taylor]: Taking taylor expansion of 4.0 in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) 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 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow p 2))) in p 0.888 * [taylor]: Taking taylor expansion of 4.0 in p 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.888 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.888 * [taylor]: Taking taylor expansion of p in p 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.891 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.891 * [taylor]: Taking taylor expansion of x in p 0.891 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.891 * [taylor]: Taking taylor expansion of 4.0 in p 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.891 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.891 * [taylor]: Taking taylor expansion of p in p 0.894 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.894 * [taylor]: Taking taylor expansion of 4.0 in x 0.895 * [taylor]: Taking taylor expansion of 0 in x 0.898 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.898 * [taylor]: Taking taylor expansion of 1/2 in x 0.898 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.898 * [taylor]: Taking taylor expansion of 4.0 in x 0.911 * [taylor]: Taking taylor expansion of 0 in x 0.914 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 2) 0.915 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.915 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.915 * [taylor]: Taking taylor expansion of 4.0 in x 0.915 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.915 * [taylor]: Taking taylor expansion of p in x 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.916 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.916 * [taylor]: Taking taylor expansion of x in p 0.916 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.916 * [taylor]: Taking taylor expansion of 4.0 in p 0.916 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.916 * [taylor]: Taking taylor expansion of p in p 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.917 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.917 * [taylor]: Taking taylor expansion of x in p 0.917 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.917 * [taylor]: Taking taylor expansion of 4.0 in p 0.917 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.917 * [taylor]: Taking taylor expansion of p in p 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of 0 in x 0.919 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.919 * [taylor]: Taking taylor expansion of 2.0 in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of 0 in x 0.922 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.923 * [taylor]: Taking taylor expansion of 4.0 in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.923 * [taylor]: Taking taylor expansion of p in x 0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.925 * [taylor]: Taking taylor expansion of x in p 0.925 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.925 * [taylor]: Taking taylor expansion of 4.0 in p 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.925 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.925 * [taylor]: Taking taylor expansion of p in p 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.928 * [taylor]: Taking taylor expansion of x in p 0.928 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.929 * [taylor]: Taking taylor expansion of 4.0 in p 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.929 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.929 * [taylor]: Taking taylor expansion of p in p 0.932 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.932 * [taylor]: Taking taylor expansion of 4.0 in x 0.932 * [taylor]: Taking taylor expansion of 0 in x 0.935 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.935 * [taylor]: Taking taylor expansion of 1/2 in x 0.935 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.935 * [taylor]: Taking taylor expansion of 4.0 in x 0.942 * [taylor]: Taking taylor expansion of 0 in x 0.945 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.946 * [taylor]: Taking taylor expansion of 4.0 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.946 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.946 * [taylor]: Taking taylor expansion of p in x 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.948 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.948 * [taylor]: Taking taylor expansion of x in p 0.948 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.948 * [taylor]: Taking taylor expansion of 4.0 in p 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.948 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.949 * [taylor]: Taking taylor expansion of p in p 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.951 * [taylor]: Taking taylor expansion of x in p 0.952 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.952 * [taylor]: Taking taylor expansion of 4.0 in p 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.952 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.952 * [taylor]: Taking taylor expansion of p in p 0.955 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.955 * [taylor]: Taking taylor expansion of 4.0 in x 0.955 * [taylor]: Taking taylor expansion of 0 in x 0.958 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.958 * [taylor]: Taking taylor expansion of 1/2 in x 0.958 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.958 * [taylor]: Taking taylor expansion of 4.0 in x 0.965 * [taylor]: Taking taylor expansion of 0 in x 0.968 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 0.968 * [approximate]: Taking taylor expansion of (/ x (fma (* 4.0 p) p (pow x 2))) in (x p) around 0 0.968 * [taylor]: Taking taylor expansion of (/ x (fma (* 4.0 p) p (pow x 2))) in p 0.968 * [taylor]: Taking taylor expansion of x in p 0.968 * [taylor]: Taking taylor expansion of (fma (* 4.0 p) p (pow x 2)) in p 0.969 * [taylor]: Rewrote expression to (+ (* (* 4.0 p) p) (pow x 2)) 0.969 * [taylor]: Taking taylor expansion of (* (* 4.0 p) p) in p 0.969 * [taylor]: Taking taylor expansion of (* 4.0 p) in p 0.969 * [taylor]: Taking taylor expansion of 4.0 in p 0.969 * [taylor]: Taking taylor expansion of p in p 0.969 * [taylor]: Taking taylor expansion of p in p 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.969 * [taylor]: Taking taylor expansion of x in p 0.969 * [taylor]: Taking taylor expansion of (/ x (fma (* 4.0 p) p (pow x 2))) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (fma (* 4.0 p) p (pow x 2)) in x 0.970 * [taylor]: Rewrote expression to (+ (* (* 4.0 p) p) (pow x 2)) 0.970 * [taylor]: Taking taylor expansion of (* (* 4.0 p) p) in x 0.970 * [taylor]: Taking taylor expansion of (* 4.0 p) in x 0.970 * [taylor]: Taking taylor expansion of 4.0 in x 0.970 * [taylor]: Taking taylor expansion of p in x 0.970 * [taylor]: Taking taylor expansion of p in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (/ x (fma (* 4.0 p) p (pow x 2))) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (fma (* 4.0 p) p (pow x 2)) in x 0.970 * [taylor]: Rewrote expression to (+ (* (* 4.0 p) p) (pow x 2)) 0.970 * [taylor]: Taking taylor expansion of (* (* 4.0 p) p) in x 0.970 * [taylor]: Taking taylor expansion of (* 4.0 p) in x 0.970 * [taylor]: Taking taylor expansion of 4.0 in x 0.970 * [taylor]: Taking taylor expansion of p in x 0.970 * [taylor]: Taking taylor expansion of p in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (/ 0.25 (pow p 2)) in p 0.970 * [taylor]: Taking taylor expansion of 0.25 in p 0.970 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.970 * [taylor]: Taking taylor expansion of p in p 0.974 * [taylor]: Taking taylor expansion of 0 in p 0.976 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow p 4)))) in p 0.976 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow p 4))) in p 0.976 * [taylor]: Taking taylor expansion of 0.0625 in p 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p 0.976 * [taylor]: Taking taylor expansion of (pow p 4) in p 0.976 * [taylor]: Taking taylor expansion of p in p 0.985 * [approximate]: Taking taylor expansion of (/ 1 (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in (x p) around 0 0.985 * [taylor]: Taking taylor expansion of (/ 1 (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in p 0.985 * [taylor]: Taking taylor expansion of (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2)))) in p 0.985 * [taylor]: Taking taylor expansion of x in p 0.985 * [taylor]: Taking taylor expansion of (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))) in p 0.985 * [taylor]: Rewrote expression to (+ (* (/ 4.0 p) (/ 1 p)) (/ 1 (pow x 2))) 0.985 * [taylor]: Taking taylor expansion of (* (/ 4.0 p) (/ 1 p)) in p 0.985 * [taylor]: Taking taylor expansion of (/ 4.0 p) in p 0.985 * [taylor]: Taking taylor expansion of 4.0 in p 0.985 * [taylor]: Taking taylor expansion of p in p 0.985 * [taylor]: Taking taylor expansion of (/ 1 p) in p 0.985 * [taylor]: Taking taylor expansion of p 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 (/ 1 (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in x 0.986 * [taylor]: Taking taylor expansion of (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2)))) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))) in x 0.992 * [taylor]: Rewrote expression to (+ (* (/ 4.0 p) (/ 1 p)) (/ 1 (pow x 2))) 0.992 * [taylor]: Taking taylor expansion of (* (/ 4.0 p) (/ 1 p)) in x 0.992 * [taylor]: Taking taylor expansion of (/ 4.0 p) in x 0.992 * [taylor]: Taking taylor expansion of 4.0 in x 0.992 * [taylor]: Taking taylor expansion of p in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 p) in x 0.992 * [taylor]: Taking taylor expansion of p in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))))) in x 0.995 * [taylor]: Taking taylor expansion of (* x (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2)))) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (fma (/ 4.0 p) (/ 1 p) (/ 1 (pow x 2))) in x 0.996 * [taylor]: Rewrote expression to (+ (* (/ 4.0 p) (/ 1 p)) (/ 1 (pow x 2))) 0.996 * [taylor]: Taking taylor expansion of (* (/ 4.0 p) (/ 1 p)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 4.0 p) in x 0.996 * [taylor]: Taking taylor expansion of 4.0 in x 0.996 * [taylor]: Taking taylor expansion of p in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 p) in x 0.996 * [taylor]: Taking taylor expansion of p in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of 1 in p 1.000 * [taylor]: Taking taylor expansion of 0 in p 1.003 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow p 2)))) in p 1.003 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.003 * [taylor]: Taking taylor expansion of 4.0 in p 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.003 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.003 * [taylor]: Taking taylor expansion of p in p 1.008 * [approximate]: Taking taylor expansion of (/ -1 (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in (x p) around 0 1.008 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in p 1.008 * [taylor]: Taking taylor expansion of -1 in p 1.008 * [taylor]: Taking taylor expansion of (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2)))) in p 1.008 * [taylor]: Taking taylor expansion of x in p 1.008 * [taylor]: Taking taylor expansion of (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))) in p 1.009 * [taylor]: Rewrote expression to (+ (* (/ -4.0 p) (/ -1 p)) (/ 1 (pow x 2))) 1.009 * [taylor]: Taking taylor expansion of (* (/ -4.0 p) (/ -1 p)) in p 1.009 * [taylor]: Taking taylor expansion of (/ -4.0 p) in p 1.009 * [taylor]: Taking taylor expansion of -4.0 in p 1.009 * [taylor]: Taking taylor expansion of p in p 1.009 * [taylor]: Taking taylor expansion of (/ -1 p) in p 1.009 * [taylor]: Taking taylor expansion of -1 in p 1.009 * [taylor]: Taking taylor expansion of p in p 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.009 * [taylor]: Taking taylor expansion of x in p 1.010 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in x 1.010 * [taylor]: Taking taylor expansion of -1 in x 1.010 * [taylor]: Taking taylor expansion of (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2)))) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))) in x 1.010 * [taylor]: Rewrote expression to (+ (* (/ -4.0 p) (/ -1 p)) (/ 1 (pow x 2))) 1.010 * [taylor]: Taking taylor expansion of (* (/ -4.0 p) (/ -1 p)) in x 1.010 * [taylor]: Taking taylor expansion of (/ -4.0 p) in x 1.010 * [taylor]: Taking taylor expansion of -4.0 in x 1.010 * [taylor]: Taking taylor expansion of p in x 1.010 * [taylor]: Taking taylor expansion of (/ -1 p) in x 1.010 * [taylor]: Taking taylor expansion of -1 in x 1.010 * [taylor]: Taking taylor expansion of p in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))))) in x 1.013 * [taylor]: Taking taylor expansion of -1 in x 1.013 * [taylor]: Taking taylor expansion of (* x (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2)))) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (fma (/ -4.0 p) (/ -1 p) (/ 1 (pow x 2))) in x 1.013 * [taylor]: Rewrote expression to (+ (* (/ -4.0 p) (/ -1 p)) (/ 1 (pow x 2))) 1.013 * [taylor]: Taking taylor expansion of (* (/ -4.0 p) (/ -1 p)) in x 1.013 * [taylor]: Taking taylor expansion of (/ -4.0 p) in x 1.013 * [taylor]: Taking taylor expansion of -4.0 in x 1.013 * [taylor]: Taking taylor expansion of p in x 1.013 * [taylor]: Taking taylor expansion of (/ -1 p) in x 1.013 * [taylor]: Taking taylor expansion of -1 in x 1.013 * [taylor]: Taking taylor expansion of p in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of -1 in p 1.018 * [taylor]: Taking taylor expansion of 0 in p 1.021 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.021 * [taylor]: Taking taylor expansion of 4.0 in p 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.021 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.021 * [taylor]: Taking taylor expansion of p in p 1.026 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 3 2) 1.026 * [approximate]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in (x p) around 0 1.026 * [taylor]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in p 1.026 * [taylor]: Taking taylor expansion of 1.0 in p 1.026 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.026 * [taylor]: Taking taylor expansion of x in p 1.026 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.026 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.026 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.026 * [taylor]: Taking taylor expansion of x in p 1.026 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.026 * [taylor]: Taking taylor expansion of 4.0 in p 1.026 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.026 * [taylor]: Taking taylor expansion of p in p 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.027 * [taylor]: Taking taylor expansion of 4.0 in x 1.027 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.027 * [taylor]: Taking taylor expansion of p in x 1.029 * [taylor]: Taking taylor expansion of (- 1.0 (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))))) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.029 * [taylor]: Taking taylor expansion of 4.0 in x 1.029 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.029 * [taylor]: Taking taylor expansion of p in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in p 1.032 * [taylor]: Taking taylor expansion of (- (/ (sqrt 0.25) p)) in p 1.032 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.032 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.032 * [taylor]: Taking taylor expansion of 0.25 in p 1.033 * [taylor]: Taking taylor expansion of p in p 1.038 * [taylor]: Taking taylor expansion of 0 in p 1.044 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 1.044 * [taylor]: Taking taylor expansion of 0.03125 in p 1.044 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 1.044 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 1.044 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.044 * [taylor]: Taking taylor expansion of p in p 1.044 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.044 * [taylor]: Taking taylor expansion of 0.25 in p 1.055 * [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 1.055 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.055 * [taylor]: Taking taylor expansion of 1.0 in p 1.055 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.055 * [taylor]: Taking taylor expansion of x in p 1.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.055 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.055 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.055 * [taylor]: Taking taylor expansion of x in p 1.055 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.055 * [taylor]: Taking taylor expansion of 4.0 in p 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.055 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.055 * [taylor]: Taking taylor expansion of p in p 1.059 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.060 * [taylor]: Taking taylor expansion of 4.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.060 * [taylor]: Taking taylor expansion of p in x 1.062 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.063 * [taylor]: Taking taylor expansion of 1.0 in x 1.063 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.063 * [taylor]: Taking taylor expansion of 4.0 in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.063 * [taylor]: Taking taylor expansion of p in x 1.067 * [taylor]: Taking taylor expansion of 0 in p 1.068 * [taylor]: Taking taylor expansion of 0 in p 1.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.072 * [taylor]: Taking taylor expansion of 2.0 in p 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.072 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.072 * [taylor]: Taking taylor expansion of p in p 1.080 * [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 1.080 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.080 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.080 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.080 * [taylor]: Taking taylor expansion of x in p 1.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.081 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.081 * [taylor]: Taking taylor expansion of x in p 1.081 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.081 * [taylor]: Taking taylor expansion of 4.0 in p 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.081 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.081 * [taylor]: Taking taylor expansion of p in p 1.084 * [taylor]: Taking taylor expansion of 1.0 in p 1.084 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.084 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.085 * [taylor]: Taking taylor expansion of 4.0 in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.085 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.085 * [taylor]: Taking taylor expansion of p in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.088 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.089 * [taylor]: Taking taylor expansion of 4.0 in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.089 * [taylor]: Taking taylor expansion of p in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of 2.0 in p 1.093 * [taylor]: Taking taylor expansion of 0 in p 1.097 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.097 * [taylor]: Taking taylor expansion of 2.0 in p 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.097 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.097 * [taylor]: Taking taylor expansion of p in p 1.104 * [taylor]: Taking taylor expansion of 0 in p 1.104 * * * [progress]: simplifying candidates 1.108 * [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 1.125 * * [simplify]: iteration 0 : 682 enodes (cost 4617 ) 1.135 * * [simplify]: iteration 1 : 2256 enodes (cost 3256 ) 1.172 * * [simplify]: iteration 2 : 5001 enodes (cost 2931 ) 1.184 * [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 1.186 * * * [progress]: adding candidates to table 1.771 * * [progress]: iteration 3 / 4 1.771 * * * [progress]: picking best candidate 1.813 * * * * [pick]: Picked # 1.813 * * * [progress]: localizing error 1.824 * * * [progress]: generating rewritten candidates 1.825 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2) 1.829 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.832 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 2 1) 1.854 * * * [progress]: generating series expansions 1.854 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2) 1.855 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 1.855 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.855 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.855 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.855 * [taylor]: Taking taylor expansion of 4.0 in x 1.855 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.855 * [taylor]: Taking taylor expansion of p in x 1.856 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.856 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.856 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.856 * [taylor]: Taking taylor expansion of x in p 1.856 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.856 * [taylor]: Taking taylor expansion of 4.0 in p 1.856 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.856 * [taylor]: Taking taylor expansion of p in p 1.857 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.857 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.857 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.857 * [taylor]: Taking taylor expansion of x in p 1.857 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.857 * [taylor]: Taking taylor expansion of 4.0 in p 1.857 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.857 * [taylor]: Taking taylor expansion of p in p 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of 0 in x 1.859 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 1.859 * [taylor]: Taking taylor expansion of 2.0 in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of 0 in x 1.862 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 1.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.863 * [taylor]: Taking taylor expansion of 4.0 in x 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.863 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.863 * [taylor]: Taking taylor expansion of p in x 1.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.865 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.865 * [taylor]: Taking taylor expansion of x in p 1.865 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.865 * [taylor]: Taking taylor expansion of 4.0 in p 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.865 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.865 * [taylor]: Taking taylor expansion of p in p 1.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.868 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.868 * [taylor]: Taking taylor expansion of x in p 1.868 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.868 * [taylor]: Taking taylor expansion of 4.0 in p 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.868 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.868 * [taylor]: Taking taylor expansion of p in p 1.876 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.876 * [taylor]: Taking taylor expansion of 4.0 in x 1.876 * [taylor]: Taking taylor expansion of 0 in x 1.879 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 1.879 * [taylor]: Taking taylor expansion of 1/2 in x 1.879 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 1.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.879 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.879 * [taylor]: Taking taylor expansion of 4.0 in x 1.886 * [taylor]: Taking taylor expansion of 0 in x 1.889 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 1.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.890 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.890 * [taylor]: Taking taylor expansion of 4.0 in x 1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.890 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.890 * [taylor]: Taking taylor expansion of p in x 1.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.892 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.892 * [taylor]: Taking taylor expansion of x in p 1.892 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.892 * [taylor]: Taking taylor expansion of 4.0 in p 1.892 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.892 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.892 * [taylor]: Taking taylor expansion of p in p 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.896 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.896 * [taylor]: Taking taylor expansion of x in p 1.897 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.897 * [taylor]: Taking taylor expansion of 4.0 in p 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.897 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.897 * [taylor]: Taking taylor expansion of p in p 1.900 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.900 * [taylor]: Taking taylor expansion of 4.0 in x 1.900 * [taylor]: Taking taylor expansion of 0 in x 1.903 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 1.903 * [taylor]: Taking taylor expansion of 1/2 in x 1.903 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 1.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.903 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 1.903 * [taylor]: Taking taylor expansion of 4.0 in x 1.909 * [taylor]: Taking taylor expansion of 0 in x 1.913 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.913 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 1.913 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 1.913 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.913 * [taylor]: Taking taylor expansion of x in p 1.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.913 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.913 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.913 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.913 * [taylor]: Taking taylor expansion of x in p 1.913 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.913 * [taylor]: Taking taylor expansion of 4.0 in p 1.913 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.913 * [taylor]: Taking taylor expansion of p in p 1.914 * [taylor]: Taking taylor expansion of 1.0 in p 1.914 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.914 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.914 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.914 * [taylor]: Taking taylor expansion of 4.0 in x 1.914 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.914 * [taylor]: Taking taylor expansion of p in x 1.915 * [taylor]: Taking taylor expansion of 1.0 in x 1.915 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 1.915 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.915 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.916 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.916 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.916 * [taylor]: Taking taylor expansion of 4.0 in x 1.916 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.916 * [taylor]: Taking taylor expansion of p in x 1.917 * [taylor]: Taking taylor expansion of 1.0 in x 1.917 * [taylor]: Taking taylor expansion of 1.0 in p 1.918 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.918 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.918 * [taylor]: Taking taylor expansion of 0.25 in p 1.919 * [taylor]: Taking taylor expansion of p in p 1.923 * [taylor]: Taking taylor expansion of 0 in p 1.929 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 1.929 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 1.929 * [taylor]: Taking taylor expansion of 0.03125 in p 1.929 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 1.929 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 1.929 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.929 * [taylor]: Taking taylor expansion of p in p 1.929 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.929 * [taylor]: Taking taylor expansion of 0.25 in p 1.940 * [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 1.940 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.940 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.940 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.940 * [taylor]: Taking taylor expansion of x in p 1.940 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.940 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.940 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.940 * [taylor]: Taking taylor expansion of x in p 1.941 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.941 * [taylor]: Taking taylor expansion of 4.0 in p 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.941 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.941 * [taylor]: Taking taylor expansion of p in p 1.944 * [taylor]: Taking taylor expansion of 1.0 in p 1.944 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.944 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.945 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.945 * [taylor]: Taking taylor expansion of 4.0 in x 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.945 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.945 * [taylor]: Taking taylor expansion of p in x 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.948 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.949 * [taylor]: Taking taylor expansion of 4.0 in x 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.949 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.949 * [taylor]: Taking taylor expansion of p in x 1.951 * [taylor]: Taking taylor expansion of 1.0 in x 1.952 * [taylor]: Taking taylor expansion of 2.0 in p 1.953 * [taylor]: Taking taylor expansion of 0 in p 1.962 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.962 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.962 * [taylor]: Taking taylor expansion of 2.0 in p 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.962 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.962 * [taylor]: Taking taylor expansion of p in p 1.969 * [taylor]: Taking taylor expansion of 0 in p 1.970 * [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 1.970 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.970 * [taylor]: Taking taylor expansion of 1.0 in p 1.970 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.970 * [taylor]: Taking taylor expansion of x in p 1.970 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.970 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.970 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.970 * [taylor]: Taking taylor expansion of x in p 1.970 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.970 * [taylor]: Taking taylor expansion of 4.0 in p 1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.970 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.970 * [taylor]: Taking taylor expansion of p in p 1.974 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.974 * [taylor]: Taking taylor expansion of 1.0 in x 1.974 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.974 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.975 * [taylor]: Taking taylor expansion of 4.0 in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.975 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.975 * [taylor]: Taking taylor expansion of p in x 1.977 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.977 * [taylor]: Taking taylor expansion of 1.0 in x 1.977 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.977 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.978 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.978 * [taylor]: Taking taylor expansion of 4.0 in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.978 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.978 * [taylor]: Taking taylor expansion of p in x 1.981 * [taylor]: Taking taylor expansion of 0 in p 1.983 * [taylor]: Taking taylor expansion of 0 in p 1.986 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.986 * [taylor]: Taking taylor expansion of 2.0 in p 1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.986 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.986 * [taylor]: Taking taylor expansion of p in p 1.989 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.989 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 1.989 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.989 * [taylor]: Taking taylor expansion of x in p 1.989 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.989 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.989 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.989 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.989 * [taylor]: Taking taylor expansion of x in p 1.989 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.989 * [taylor]: Taking taylor expansion of 4.0 in p 1.989 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.990 * [taylor]: Taking taylor expansion of p in p 1.990 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.990 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.990 * [taylor]: Taking taylor expansion of 4.0 in x 1.990 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.990 * [taylor]: Taking taylor expansion of p in x 1.992 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.992 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.992 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.992 * [taylor]: Taking taylor expansion of 4.0 in x 1.992 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.992 * [taylor]: Taking taylor expansion of p in x 1.993 * [taylor]: Taking taylor expansion of 0 in p 1.994 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.994 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.994 * [taylor]: Taking taylor expansion of 0.25 in p 1.995 * [taylor]: Taking taylor expansion of p in p 1.999 * [taylor]: Taking taylor expansion of 0 in p 2.000 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 2.000 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.000 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.000 * [taylor]: Taking taylor expansion of x in p 2.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.000 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.000 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.000 * [taylor]: Taking taylor expansion of x in p 2.001 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.001 * [taylor]: Taking taylor expansion of 4.0 in p 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.001 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.001 * [taylor]: Taking taylor expansion of p in p 2.004 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.005 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.005 * [taylor]: Taking taylor expansion of 4.0 in x 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.005 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.005 * [taylor]: Taking taylor expansion of p in x 2.008 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.008 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.009 * [taylor]: Taking taylor expansion of 4.0 in x 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.009 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.009 * [taylor]: Taking taylor expansion of p in x 2.011 * [taylor]: Taking taylor expansion of 1 in p 2.012 * [taylor]: Taking taylor expansion of 0 in p 2.016 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.016 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.016 * [taylor]: Taking taylor expansion of 2.0 in p 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.016 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.016 * [taylor]: Taking taylor expansion of p in p 2.020 * [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 2.020 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.020 * [taylor]: Taking taylor expansion of -1 in p 2.020 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.020 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.020 * [taylor]: Taking taylor expansion of x in p 2.020 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.020 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.020 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.020 * [taylor]: Taking taylor expansion of x in p 2.020 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.020 * [taylor]: Taking taylor expansion of 4.0 in p 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.020 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.020 * [taylor]: Taking taylor expansion of p in p 2.024 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.024 * [taylor]: Taking taylor expansion of -1 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 2.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.024 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.024 * [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 2.027 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.028 * [taylor]: Taking taylor expansion of -1 in x 2.028 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.028 * [taylor]: Taking taylor expansion of 4.0 in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.028 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.028 * [taylor]: Taking taylor expansion of p in x 2.031 * [taylor]: Taking taylor expansion of -1 in p 2.033 * [taylor]: Taking taylor expansion of 0 in p 2.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.037 * [taylor]: Taking taylor expansion of 2.0 in p 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.037 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.037 * [taylor]: Taking taylor expansion of p in p 2.045 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 2 1) 2.046 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in (p x) around 0 2.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.046 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.046 * [taylor]: Taking taylor expansion of 4.0 in x 2.046 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.046 * [taylor]: Taking taylor expansion of p in x 2.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.046 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.046 * [taylor]: Taking taylor expansion of x in p 2.046 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.046 * [taylor]: Taking taylor expansion of 4.0 in p 2.046 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.046 * [taylor]: Taking taylor expansion of p in p 2.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.046 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.046 * [taylor]: Taking taylor expansion of x in p 2.046 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.046 * [taylor]: Taking taylor expansion of 4.0 in p 2.046 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.046 * [taylor]: Taking taylor expansion of p in p 2.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.047 * [taylor]: Taking taylor expansion of 0 in x 2.048 * [taylor]: Taking taylor expansion of 4.0 in x 2.049 * [taylor]: Taking taylor expansion of 0 in x 2.052 * [taylor]: Taking taylor expansion of 0 in x 2.052 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 2.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.053 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.053 * [taylor]: Taking taylor expansion of 4.0 in x 2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.053 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.053 * [taylor]: Taking taylor expansion of p in x 2.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.053 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.053 * [taylor]: Taking taylor expansion of x in p 2.053 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.053 * [taylor]: Taking taylor expansion of 4.0 in p 2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.053 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.053 * [taylor]: Taking taylor expansion of p in p 2.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.054 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.054 * [taylor]: Taking taylor expansion of x in p 2.054 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.054 * [taylor]: Taking taylor expansion of 4.0 in p 2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.054 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.054 * [taylor]: Taking taylor expansion of p in p 2.055 * [taylor]: Taking taylor expansion of 4.0 in x 2.056 * [taylor]: Taking taylor expansion of 0 in x 2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of 0 in x 2.063 * [taylor]: Taking taylor expansion of 0 in x 2.065 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 2.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.065 * [taylor]: Taking taylor expansion of 4.0 in x 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.065 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.065 * [taylor]: Taking taylor expansion of p in x 2.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.066 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.066 * [taylor]: Taking taylor expansion of x in p 2.066 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.066 * [taylor]: Taking taylor expansion of 4.0 in p 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.066 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.066 * [taylor]: Taking taylor expansion of p in p 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.066 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.066 * [taylor]: Taking taylor expansion of x in p 2.066 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.066 * [taylor]: Taking taylor expansion of 4.0 in p 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.066 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.066 * [taylor]: Taking taylor expansion of p in p 2.067 * [taylor]: Taking taylor expansion of 4.0 in x 2.069 * [taylor]: Taking taylor expansion of 0 in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.073 * [taylor]: Taking taylor expansion of 0 in x 2.076 * [taylor]: Taking taylor expansion of 0 in x 2.077 * * * [progress]: simplifying candidates 2.079 * [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))) 2.085 * * [simplify]: iteration 0 : 405 enodes (cost 867 ) 2.094 * * [simplify]: iteration 1 : 1999 enodes (cost 779 ) 2.125 * * [simplify]: iteration 2 : 5001 enodes (cost 742 ) 2.129 * [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)))))) (/ (sqrt x) (sqrt (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 (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 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (sqrt x) (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))))) (/ (sqrt x) (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)) 2.129 * * * [progress]: adding candidates to table 2.429 * * [progress]: iteration 4 / 4 2.429 * * * [progress]: picking best candidate 2.443 * * * * [pick]: Picked # 2.443 * * * [progress]: localizing error 2.459 * * * [progress]: generating rewritten candidates 2.459 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 2 2) 2.464 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 2 2) 2.469 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 2 2) 2.474 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 2.492 * * * [progress]: generating series expansions 2.492 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 2 2) 2.492 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.492 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.492 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.492 * [taylor]: Taking taylor expansion of 4.0 in x 2.492 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.492 * [taylor]: Taking taylor expansion of p in x 2.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.494 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.494 * [taylor]: Taking taylor expansion of x in p 2.494 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.494 * [taylor]: Taking taylor expansion of 4.0 in p 2.494 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.494 * [taylor]: Taking taylor expansion of p in p 2.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.494 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.494 * [taylor]: Taking taylor expansion of x in p 2.494 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.494 * [taylor]: Taking taylor expansion of 4.0 in p 2.494 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.494 * [taylor]: Taking taylor expansion of p in p 2.495 * [taylor]: Taking taylor expansion of x in x 2.495 * [taylor]: Taking taylor expansion of 0 in x 2.497 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.497 * [taylor]: Taking taylor expansion of 2.0 in x 2.497 * [taylor]: Taking taylor expansion of x in x 2.500 * [taylor]: Taking taylor expansion of 0 in x 2.500 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.500 * [taylor]: Taking taylor expansion of x in x 2.501 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.501 * [taylor]: Taking taylor expansion of 4.0 in x 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.501 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.501 * [taylor]: Taking taylor expansion of p in x 2.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.503 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.503 * [taylor]: Taking taylor expansion of x in p 2.503 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.503 * [taylor]: Taking taylor expansion of 4.0 in p 2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.503 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.503 * [taylor]: Taking taylor expansion of p in p 2.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.506 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.506 * [taylor]: Taking taylor expansion of x in p 2.507 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.507 * [taylor]: Taking taylor expansion of 4.0 in p 2.507 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.507 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.507 * [taylor]: Taking taylor expansion of p in p 2.510 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.510 * [taylor]: Taking taylor expansion of 4.0 in x 2.510 * [taylor]: Taking taylor expansion of 0 in x 2.513 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.514 * [taylor]: Taking taylor expansion of 1/2 in x 2.514 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.514 * [taylor]: Taking taylor expansion of x in x 2.514 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.514 * [taylor]: Taking taylor expansion of 4.0 in x 2.520 * [taylor]: Taking taylor expansion of 0 in x 2.524 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.524 * [taylor]: Taking taylor expansion of x in x 2.524 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.524 * [taylor]: Taking taylor expansion of 4.0 in x 2.524 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.524 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.524 * [taylor]: Taking taylor expansion of p in x 2.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.527 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.527 * [taylor]: Taking taylor expansion of x in p 2.527 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.527 * [taylor]: Taking taylor expansion of 4.0 in p 2.527 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.527 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.527 * [taylor]: Taking taylor expansion of p in p 2.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.530 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.530 * [taylor]: Taking taylor expansion of x in p 2.531 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.531 * [taylor]: Taking taylor expansion of 4.0 in p 2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.531 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.531 * [taylor]: Taking taylor expansion of p in p 2.534 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.534 * [taylor]: Taking taylor expansion of 4.0 in x 2.534 * [taylor]: Taking taylor expansion of 0 in x 2.537 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.537 * [taylor]: Taking taylor expansion of 1/2 in x 2.537 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.537 * [taylor]: Taking taylor expansion of x in x 2.537 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.537 * [taylor]: Taking taylor expansion of 4.0 in x 2.544 * [taylor]: Taking taylor expansion of 0 in x 2.547 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 2 2) 2.547 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.548 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.548 * [taylor]: Taking taylor expansion of x in x 2.548 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.548 * [taylor]: Taking taylor expansion of 4.0 in x 2.548 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.548 * [taylor]: Taking taylor expansion of p in x 2.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.549 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.549 * [taylor]: Taking taylor expansion of x in p 2.549 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.549 * [taylor]: Taking taylor expansion of 4.0 in p 2.549 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.549 * [taylor]: Taking taylor expansion of p in p 2.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.549 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.549 * [taylor]: Taking taylor expansion of x in p 2.549 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.549 * [taylor]: Taking taylor expansion of 4.0 in p 2.549 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.550 * [taylor]: Taking taylor expansion of p in p 2.550 * [taylor]: Taking taylor expansion of x in x 2.550 * [taylor]: Taking taylor expansion of 0 in x 2.552 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.552 * [taylor]: Taking taylor expansion of 2.0 in x 2.552 * [taylor]: Taking taylor expansion of x in x 2.554 * [taylor]: Taking taylor expansion of 0 in x 2.555 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.556 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.556 * [taylor]: Taking taylor expansion of 4.0 in x 2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.556 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.556 * [taylor]: Taking taylor expansion of p in x 2.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.558 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.558 * [taylor]: Taking taylor expansion of x in p 2.558 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.558 * [taylor]: Taking taylor expansion of 4.0 in p 2.558 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.558 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.558 * [taylor]: Taking taylor expansion of p in p 2.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.561 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.561 * [taylor]: Taking taylor expansion of x in p 2.561 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.561 * [taylor]: Taking taylor expansion of 4.0 in p 2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.561 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.561 * [taylor]: Taking taylor expansion of p in p 2.564 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.564 * [taylor]: Taking taylor expansion of 4.0 in x 2.565 * [taylor]: Taking taylor expansion of 0 in x 2.568 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.568 * [taylor]: Taking taylor expansion of 1/2 in x 2.568 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.568 * [taylor]: Taking taylor expansion of x in x 2.568 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.568 * [taylor]: Taking taylor expansion of 4.0 in x 2.581 * [taylor]: Taking taylor expansion of 0 in x 2.584 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.584 * [taylor]: Taking taylor expansion of x in x 2.585 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.585 * [taylor]: Taking taylor expansion of 4.0 in x 2.585 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.585 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.585 * [taylor]: Taking taylor expansion of p in x 2.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.587 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.587 * [taylor]: Taking taylor expansion of x in p 2.587 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.587 * [taylor]: Taking taylor expansion of 4.0 in p 2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.587 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.587 * [taylor]: Taking taylor expansion of p in p 2.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.590 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.590 * [taylor]: Taking taylor expansion of x in p 2.590 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.590 * [taylor]: Taking taylor expansion of 4.0 in p 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.590 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.590 * [taylor]: Taking taylor expansion of p in p 2.593 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.593 * [taylor]: Taking taylor expansion of 4.0 in x 2.594 * [taylor]: Taking taylor expansion of 0 in x 2.597 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.597 * [taylor]: Taking taylor expansion of 1/2 in x 2.597 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.597 * [taylor]: Taking taylor expansion of 4.0 in x 2.604 * [taylor]: Taking taylor expansion of 0 in x 2.607 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 2 2) 2.607 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.607 * [taylor]: Taking taylor expansion of x in x 2.607 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.607 * [taylor]: Taking taylor expansion of 4.0 in x 2.607 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.607 * [taylor]: Taking taylor expansion of p in x 2.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.608 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.608 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.608 * [taylor]: Taking taylor expansion of x in p 2.608 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.608 * [taylor]: Taking taylor expansion of 4.0 in p 2.608 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.608 * [taylor]: Taking taylor expansion of p in p 2.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.609 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.609 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.609 * [taylor]: Taking taylor expansion of x in p 2.609 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.609 * [taylor]: Taking taylor expansion of 4.0 in p 2.609 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.609 * [taylor]: Taking taylor expansion of p in p 2.609 * [taylor]: Taking taylor expansion of x in x 2.609 * [taylor]: Taking taylor expansion of 0 in x 2.611 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.611 * [taylor]: Taking taylor expansion of 2.0 in x 2.611 * [taylor]: Taking taylor expansion of x in x 2.614 * [taylor]: Taking taylor expansion of 0 in x 2.614 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.615 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.615 * [taylor]: Taking taylor expansion of 4.0 in x 2.615 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.615 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.615 * [taylor]: Taking taylor expansion of p in x 2.617 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.617 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.617 * [taylor]: Taking taylor expansion of x in p 2.617 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.617 * [taylor]: Taking taylor expansion of 4.0 in p 2.617 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.617 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.617 * [taylor]: Taking taylor expansion of p in p 2.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.620 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.620 * [taylor]: Taking taylor expansion of x in p 2.620 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.620 * [taylor]: Taking taylor expansion of 4.0 in p 2.620 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.620 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.620 * [taylor]: Taking taylor expansion of p in p 2.623 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.623 * [taylor]: Taking taylor expansion of 4.0 in x 2.624 * [taylor]: Taking taylor expansion of 0 in x 2.627 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.627 * [taylor]: Taking taylor expansion of 1/2 in x 2.627 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.627 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.627 * [taylor]: Taking taylor expansion of 4.0 in x 2.633 * [taylor]: Taking taylor expansion of 0 in x 2.637 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.637 * [taylor]: Taking taylor expansion of 4.0 in x 2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.637 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.637 * [taylor]: Taking taylor expansion of p in x 2.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.639 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.639 * [taylor]: Taking taylor expansion of x in p 2.640 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.640 * [taylor]: Taking taylor expansion of 4.0 in p 2.640 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.640 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.640 * [taylor]: Taking taylor expansion of p in p 2.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.643 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.643 * [taylor]: Taking taylor expansion of x in p 2.643 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.643 * [taylor]: Taking taylor expansion of 4.0 in p 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.643 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.643 * [taylor]: Taking taylor expansion of p in p 2.646 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.646 * [taylor]: Taking taylor expansion of 4.0 in x 2.647 * [taylor]: Taking taylor expansion of 0 in x 2.650 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.650 * [taylor]: Taking taylor expansion of 1/2 in x 2.650 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.650 * [taylor]: Taking taylor expansion of x in x 2.650 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.650 * [taylor]: Taking taylor expansion of 4.0 in x 2.656 * [taylor]: Taking taylor expansion of 0 in x 2.665 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 2.665 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 2.665 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.665 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.665 * [taylor]: Taking taylor expansion of x in p 2.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.665 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.665 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.665 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.665 * [taylor]: Taking taylor expansion of x in p 2.665 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.666 * [taylor]: Taking taylor expansion of 4.0 in p 2.666 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.666 * [taylor]: Taking taylor expansion of p in p 2.666 * [taylor]: Taking taylor expansion of 1.0 in p 2.666 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.666 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.666 * [taylor]: Taking taylor expansion of x in x 2.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.666 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.666 * [taylor]: Taking taylor expansion of x in x 2.667 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.667 * [taylor]: Taking taylor expansion of 4.0 in x 2.667 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.667 * [taylor]: Taking taylor expansion of p in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.668 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.668 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.668 * [taylor]: Taking taylor expansion of 4.0 in x 2.668 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.668 * [taylor]: Taking taylor expansion of p in x 2.669 * [taylor]: Taking taylor expansion of 1.0 in x 2.670 * [taylor]: Taking taylor expansion of 1.0 in p 2.671 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.671 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.671 * [taylor]: Taking taylor expansion of 0.25 in p 2.671 * [taylor]: Taking taylor expansion of p in p 2.676 * [taylor]: Taking taylor expansion of 0 in p 2.681 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 2.681 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 2.681 * [taylor]: Taking taylor expansion of 0.03125 in p 2.682 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 2.682 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 2.682 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.682 * [taylor]: Taking taylor expansion of p in p 2.682 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.682 * [taylor]: Taking taylor expansion of 0.25 in p 2.692 * [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 2.692 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 2.692 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.693 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.693 * [taylor]: Taking taylor expansion of x in p 2.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.693 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.693 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.693 * [taylor]: Taking taylor expansion of x in p 2.693 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.693 * [taylor]: Taking taylor expansion of 4.0 in p 2.693 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.693 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.693 * [taylor]: Taking taylor expansion of p in p 2.696 * [taylor]: Taking taylor expansion of 1.0 in p 2.696 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.697 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.697 * [taylor]: Taking taylor expansion of x in x 2.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.697 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.697 * [taylor]: Taking taylor expansion of x in x 2.697 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.697 * [taylor]: Taking taylor expansion of 4.0 in x 2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.697 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.697 * [taylor]: Taking taylor expansion of p in x 2.700 * [taylor]: Taking taylor expansion of 1.0 in x 2.700 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.700 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.700 * [taylor]: Taking taylor expansion of x in x 2.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.701 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.701 * [taylor]: Taking taylor expansion of x in x 2.701 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.701 * [taylor]: Taking taylor expansion of 4.0 in x 2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.701 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.701 * [taylor]: Taking taylor expansion of p in x 2.704 * [taylor]: Taking taylor expansion of 1.0 in x 2.704 * [taylor]: Taking taylor expansion of 2.0 in p 2.705 * [taylor]: Taking taylor expansion of 0 in p 2.709 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.709 * [taylor]: Taking taylor expansion of 2.0 in p 2.709 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.709 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.709 * [taylor]: Taking taylor expansion of p in p 2.716 * [taylor]: Taking taylor expansion of 0 in p 2.717 * [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 2.717 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.717 * [taylor]: Taking taylor expansion of 1.0 in p 2.717 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.717 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.717 * [taylor]: Taking taylor expansion of x in p 2.717 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.717 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.717 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.717 * [taylor]: Taking taylor expansion of x in p 2.717 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.717 * [taylor]: Taking taylor expansion of 4.0 in p 2.717 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.717 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.717 * [taylor]: Taking taylor expansion of p in p 2.721 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.721 * [taylor]: Taking taylor expansion of 1.0 in x 2.721 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.721 * [taylor]: Taking taylor expansion of x in x 2.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.721 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.721 * [taylor]: Taking taylor expansion of x in x 2.722 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.722 * [taylor]: Taking taylor expansion of 4.0 in x 2.722 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.722 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.722 * [taylor]: Taking taylor expansion of p in x 2.724 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.724 * [taylor]: Taking taylor expansion of 1.0 in x 2.724 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.724 * [taylor]: Taking taylor expansion of x in x 2.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.725 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.725 * [taylor]: Taking taylor expansion of 4.0 in x 2.725 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.725 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.725 * [taylor]: Taking taylor expansion of p in x 2.728 * [taylor]: Taking taylor expansion of 0 in p 2.730 * [taylor]: Taking taylor expansion of 0 in p 2.733 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.733 * [taylor]: Taking taylor expansion of 2.0 in p 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.733 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.733 * [taylor]: Taking taylor expansion of p in p 2.736 * * * [progress]: simplifying candidates 2.737 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (exp 1.0) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 2.742 * * [simplify]: iteration 0 : 180 enodes (cost 566 ) 2.745 * * [simplify]: iteration 1 : 522 enodes (cost 535 ) 2.754 * * [simplify]: iteration 2 : 1457 enodes (cost 534 ) 2.780 * * [simplify]: iteration 3 : 3954 enodes (cost 533 ) 2.839 * * [simplify]: iteration 4 : 5001 enodes (cost 525 ) 2.848 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt 1) (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3)) (fma 1.0 (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (* x x) (fma (* 4.0 p) p (* x x)))) (fma (/ x (fma (* 4.0 p) p (* x x))) (- x) (* 1.0 1.0)) (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 2.848 * * * [progress]: adding candidates to table 3.168 * [progress]: [Phase 3 of 3] Extracting. 3.168 * * [regime]: Finding splitpoints for: (# # # # #) 3.172 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 4.0 p) p) x p) 3.172 * * * * [regimes]: Trying to branch on (* (* 4.0 p) p) from (# # # # #) 3.199 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.226 * * * * [regimes]: Trying to branch on p from (# # # # #) 3.251 * * * [regime]: Found split indices: #