2.248 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.035 * * [simplify]: iteration 0 : 14 enodes (cost 17 ) 0.037 * * [simplify]: iteration 1 : 28 enodes (cost 16 ) 0.040 * * [simplify]: iteration 2 : 39 enodes (cost 16 ) 0.045 * * [simplify]: iteration 3 : 46 enodes (cost 16 ) 0.049 * * [simplify]: iteration 4 : 48 enodes (cost 16 ) 0.060 * * [simplify]: iteration 5 : 50 enodes (cost 16 ) 0.065 * * [simplify]: iteration 6 : 51 enodes (cost 16 ) 0.070 * * [simplify]: iteration done : 51 enodes (cost 16 ) 0.070 * [simplify]: Simplified to: (sqrt (* (+ (/ x (sqrt (fma (* 4.0 p) p (* x x)))) 1.0) 0.5)) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.075 * * * * [pick]: Picked # 0.075 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 0.096 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.123 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.136 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 1) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 0.144 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.144 * [taylor]: Taking taylor expansion of 4.0 in x 0.144 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.144 * [taylor]: Taking taylor expansion of p in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.146 * [taylor]: Taking taylor expansion of x in p 0.146 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.146 * [taylor]: Taking taylor expansion of 4.0 in p 0.146 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.146 * [taylor]: Taking taylor expansion of p in p 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.146 * [taylor]: Taking taylor expansion of x in p 0.146 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.146 * [taylor]: Taking taylor expansion of 4.0 in p 0.146 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.146 * [taylor]: Taking taylor expansion of p in p 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of 0 in x 0.149 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.149 * [taylor]: Taking taylor expansion of 2.0 in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of 0 in x 0.152 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.153 * [taylor]: Taking taylor expansion of 4.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.153 * [taylor]: Taking taylor expansion of p in x 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.155 * [taylor]: Taking taylor expansion of x in p 0.155 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.155 * [taylor]: Taking taylor expansion of 4.0 in p 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.155 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.156 * [taylor]: Taking taylor expansion of p in p 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.159 * [taylor]: Taking taylor expansion of x in p 0.159 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.159 * [taylor]: Taking taylor expansion of 4.0 in p 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.159 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.159 * [taylor]: Taking taylor expansion of p in p 0.162 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.162 * [taylor]: Taking taylor expansion of 4.0 in x 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.166 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.166 * [taylor]: Taking taylor expansion of 1/2 in x 0.166 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.166 * [taylor]: Taking taylor expansion of 4.0 in x 0.173 * [taylor]: Taking taylor expansion of 0 in x 0.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.177 * [taylor]: Taking taylor expansion of 4.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.177 * [taylor]: Taking taylor expansion of p in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.179 * [taylor]: Taking taylor expansion of x in p 0.180 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.180 * [taylor]: Taking taylor expansion of 4.0 in p 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.180 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.180 * [taylor]: Taking taylor expansion of p in p 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.183 * [taylor]: Taking taylor expansion of x in p 0.183 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.183 * [taylor]: Taking taylor expansion of 4.0 in p 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.183 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.183 * [taylor]: Taking taylor expansion of p in p 0.186 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.186 * [taylor]: Taking taylor expansion of 4.0 in x 0.187 * [taylor]: Taking taylor expansion of 0 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.190 * [taylor]: Taking taylor expansion of 1/2 in x 0.190 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.190 * [taylor]: Taking taylor expansion of 4.0 in x 0.196 * [taylor]: Taking taylor expansion of 0 in x 0.200 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.200 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.200 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.200 * [taylor]: Taking taylor expansion of x in p 0.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.200 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.200 * [taylor]: Taking taylor expansion of x in p 0.200 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.200 * [taylor]: Taking taylor expansion of 4.0 in p 0.200 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.200 * [taylor]: Taking taylor expansion of p in p 0.201 * [taylor]: Taking taylor expansion of 1.0 in p 0.201 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.201 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.201 * [taylor]: Taking taylor expansion of 4.0 in x 0.201 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.201 * [taylor]: Taking taylor expansion of p in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.202 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.203 * [taylor]: Taking taylor expansion of 4.0 in x 0.203 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.203 * [taylor]: Taking taylor expansion of p in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in p 0.205 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.205 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.205 * [taylor]: Taking taylor expansion of 0.25 in p 0.206 * [taylor]: Taking taylor expansion of p in p 0.215 * [taylor]: Taking taylor expansion of 0 in p 0.221 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 0.221 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 0.221 * [taylor]: Taking taylor expansion of 0.03125 in p 0.221 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 0.221 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 0.221 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.221 * [taylor]: Taking taylor expansion of p in p 0.221 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.221 * [taylor]: Taking taylor expansion of 0.25 in p 0.233 * [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 0.233 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.233 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.233 * [taylor]: Taking taylor expansion of x in p 0.233 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.233 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.233 * [taylor]: Taking taylor expansion of x in p 0.233 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.233 * [taylor]: Taking taylor expansion of 4.0 in p 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.233 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.233 * [taylor]: Taking taylor expansion of p in p 0.237 * [taylor]: Taking taylor expansion of 1.0 in p 0.237 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.237 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.238 * [taylor]: Taking taylor expansion of 4.0 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.238 * [taylor]: Taking taylor expansion of p in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.241 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [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 0.242 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.242 * [taylor]: Taking taylor expansion of 4.0 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.242 * [taylor]: Taking taylor expansion of p in x 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of 2.0 in p 0.247 * [taylor]: Taking taylor expansion of 0 in p 0.251 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.251 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.251 * [taylor]: Taking taylor expansion of 2.0 in p 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.251 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.251 * [taylor]: Taking taylor expansion of p in p 0.258 * [taylor]: Taking taylor expansion of 0 in p 0.258 * [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 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.258 * [taylor]: Taking taylor expansion of 1.0 in p 0.258 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.258 * [taylor]: Taking taylor expansion of x in p 0.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.259 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.259 * [taylor]: Taking taylor expansion of x in p 0.259 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.259 * [taylor]: Taking taylor expansion of 4.0 in p 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.259 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.259 * [taylor]: Taking taylor expansion of p in p 0.263 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.263 * [taylor]: Taking taylor expansion of 4.0 in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.264 * [taylor]: Taking taylor expansion of p in x 0.266 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [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 0.267 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.267 * [taylor]: Taking taylor expansion of 4.0 in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.267 * [taylor]: Taking taylor expansion of p in x 0.271 * [taylor]: Taking taylor expansion of 0 in p 0.272 * [taylor]: Taking taylor expansion of 0 in p 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.276 * [taylor]: Taking taylor expansion of 2.0 in p 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.276 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.276 * [taylor]: Taking taylor expansion of p in p 0.279 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.279 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 0.280 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.280 * [taylor]: Taking taylor expansion of x in p 0.280 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.280 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.280 * [taylor]: Taking taylor expansion of x in p 0.280 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.280 * [taylor]: Taking taylor expansion of 4.0 in p 0.280 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.280 * [taylor]: Taking taylor expansion of p in p 0.280 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.281 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.281 * [taylor]: Taking taylor expansion of 4.0 in x 0.281 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.281 * [taylor]: Taking taylor expansion of p in x 0.282 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.282 * [taylor]: Taking taylor expansion of 4.0 in x 0.282 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.282 * [taylor]: Taking taylor expansion of p in x 0.283 * [taylor]: Taking taylor expansion of 0 in p 0.284 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.284 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.284 * [taylor]: Taking taylor expansion of 0.25 in p 0.285 * [taylor]: Taking taylor expansion of p in p 0.289 * [taylor]: Taking taylor expansion of 0 in p 0.291 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 0.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.291 * [taylor]: Taking taylor expansion of x in p 0.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.291 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.291 * [taylor]: Taking taylor expansion of x in p 0.291 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.291 * [taylor]: Taking taylor expansion of 4.0 in p 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.291 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.291 * [taylor]: Taking taylor expansion of p in p 0.295 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.296 * [taylor]: Taking taylor expansion of 4.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.296 * [taylor]: Taking taylor expansion of p in x 0.304 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.305 * [taylor]: Taking taylor expansion of 4.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.305 * [taylor]: Taking taylor expansion of p in x 0.308 * [taylor]: Taking taylor expansion of 1 in p 0.309 * [taylor]: Taking taylor expansion of 0 in p 0.312 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.312 * [taylor]: Taking taylor expansion of 2.0 in p 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.313 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.313 * [taylor]: Taking taylor expansion of p in p 0.317 * [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 0.317 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.317 * [taylor]: Taking taylor expansion of -1 in p 0.317 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.317 * [taylor]: Taking taylor expansion of x in p 0.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.317 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.317 * [taylor]: Taking taylor expansion of x in p 0.317 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.317 * [taylor]: Taking taylor expansion of 4.0 in p 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.317 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.317 * [taylor]: Taking taylor expansion of p in p 0.321 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.321 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.322 * [taylor]: Taking taylor expansion of 4.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.322 * [taylor]: Taking taylor expansion of p in x 0.325 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.326 * [taylor]: Taking taylor expansion of 4.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.326 * [taylor]: Taking taylor expansion of p in x 0.329 * [taylor]: Taking taylor expansion of -1 in p 0.330 * [taylor]: Taking taylor expansion of 0 in p 0.334 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.335 * [taylor]: Taking taylor expansion of 2.0 in p 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.335 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.335 * [taylor]: Taking taylor expansion of p in p 0.339 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1) 0.339 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in (p x) around 0 0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.339 * [taylor]: Taking taylor expansion of 4.0 in x 0.339 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.339 * [taylor]: Taking taylor expansion of p in x 0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.339 * [taylor]: Taking taylor expansion of x in p 0.339 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.339 * [taylor]: Taking taylor expansion of 4.0 in p 0.339 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.339 * [taylor]: Taking taylor expansion of p in p 0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.339 * [taylor]: Taking taylor expansion of x in p 0.339 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.339 * [taylor]: Taking taylor expansion of 4.0 in p 0.339 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.339 * [taylor]: Taking taylor expansion of p in p 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 0 in x 0.341 * [taylor]: Taking taylor expansion of 4.0 in x 0.343 * [taylor]: Taking taylor expansion of 0 in x 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.346 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.346 * [taylor]: Taking taylor expansion of 4.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.346 * [taylor]: Taking taylor expansion of p in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.347 * [taylor]: Taking taylor expansion of x in p 0.347 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.347 * [taylor]: Taking taylor expansion of 4.0 in p 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.347 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.347 * [taylor]: Taking taylor expansion of p in p 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.347 * [taylor]: Taking taylor expansion of x in p 0.347 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.347 * [taylor]: Taking taylor expansion of 4.0 in p 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.347 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.347 * [taylor]: Taking taylor expansion of p in p 0.349 * [taylor]: Taking taylor expansion of 4.0 in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.358 * [taylor]: Taking taylor expansion of 0 in x 0.359 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.360 * [taylor]: Taking taylor expansion of 4.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.360 * [taylor]: Taking taylor expansion of p in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.360 * [taylor]: Taking taylor expansion of x in p 0.360 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.360 * [taylor]: Taking taylor expansion of 4.0 in p 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.360 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.360 * [taylor]: Taking taylor expansion of p in p 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.361 * [taylor]: Taking taylor expansion of x in p 0.361 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.361 * [taylor]: Taking taylor expansion of 4.0 in p 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.361 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.361 * [taylor]: Taking taylor expansion of p in p 0.362 * [taylor]: Taking taylor expansion of 4.0 in x 0.364 * [taylor]: Taking taylor expansion of 0 in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of 0 in x 0.371 * [taylor]: Taking taylor expansion of 0 in x 0.373 * * * [progress]: simplifying candidates 0.374 * [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))) 0.378 * * [simplify]: iteration 0 : 136 enodes (cost 1755 ) 0.403 * * [simplify]: iteration 1 : 300 enodes (cost 1497 ) 0.462 * * [simplify]: iteration 2 : 972 enodes (cost 1395 )