41.354 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.039 * * [simplify]: iteration 0 : 28 enodes (cost 9 ) 0.040 * * [simplify]: iteration 1 : 40 enodes (cost 9 ) 0.041 * * [simplify]: iteration 2 : 48 enodes (cost 9 ) 0.043 * * [simplify]: iteration 3 : 50 enodes (cost 9 ) 0.044 * * [simplify]: iteration 4 : 52 enodes (cost 9 ) 0.046 * * [simplify]: iteration 5 : 53 enodes (cost 9 ) 0.047 * * [simplify]: iteration 6 : 53 enodes (cost 9 ) 0.047 * [simplify]: Simplified to: (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 0.074 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.098 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.110 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 1) 0.118 * * * [progress]: generating series expansions 0.118 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 0.118 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.118 * [taylor]: Taking taylor expansion of 4.0 in x 0.118 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.119 * [taylor]: Taking taylor expansion of p in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.120 * [taylor]: Taking taylor expansion of x in p 0.120 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.120 * [taylor]: Taking taylor expansion of 4.0 in p 0.120 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.120 * [taylor]: Taking taylor expansion of p in p 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.120 * [taylor]: Taking taylor expansion of x in p 0.120 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.121 * [taylor]: Taking taylor expansion of 4.0 in p 0.121 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.121 * [taylor]: Taking taylor expansion of p in p 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.123 * [taylor]: Taking taylor expansion of 2.0 in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.126 * [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 0.130 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.130 * [taylor]: Taking taylor expansion of 4.0 in p 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.130 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.130 * [taylor]: Taking taylor expansion of p in p 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.133 * [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 0.137 * [taylor]: Taking taylor expansion of 0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.143 * [taylor]: Taking taylor expansion of 1/2 in x 0.143 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.143 * [taylor]: Taking taylor expansion of 4.0 in x 0.150 * [taylor]: Taking taylor expansion of 0 in x 0.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.153 * [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 0.154 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.154 * [taylor]: Taking taylor expansion of 4.0 in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.154 * [taylor]: Taking taylor expansion of p in x 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.156 * [taylor]: Taking taylor expansion of x in p 0.156 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.156 * [taylor]: Taking taylor expansion of 4.0 in p 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.156 * [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 0.176 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.176 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 0.176 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.176 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.176 * [taylor]: Taking taylor expansion of x in p 0.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.176 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.176 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.176 * [taylor]: Taking taylor expansion of x in p 0.176 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.176 * [taylor]: Taking taylor expansion of 4.0 in p 0.177 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.177 * [taylor]: Taking taylor expansion of p in p 0.177 * [taylor]: Taking taylor expansion of 1.0 in p 0.177 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.177 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 (pow p 2)) in x 0.177 * [taylor]: Taking taylor expansion of 4.0 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 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.179 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.179 * [taylor]: Taking taylor expansion of 4.0 in x 0.179 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.179 * [taylor]: Taking taylor expansion of p in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in p 0.182 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.182 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.182 * [taylor]: Taking taylor expansion of 0.25 in p 0.182 * [taylor]: Taking taylor expansion of p in p 0.187 * [taylor]: Taking taylor expansion of 0 in p 0.193 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 0.193 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 0.193 * [taylor]: Taking taylor expansion of 0.03125 in p 0.193 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 0.193 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 0.193 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.193 * [taylor]: Taking taylor expansion of p in p 0.193 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.193 * [taylor]: Taking taylor expansion of 0.25 in p 0.204 * [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 0.204 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.204 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.204 * [taylor]: Taking taylor expansion of x in p 0.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.204 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.204 * [taylor]: Taking taylor expansion of x in p 0.205 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.205 * [taylor]: Taking taylor expansion of 4.0 in p 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.205 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.205 * [taylor]: Taking taylor expansion of p in p 0.208 * [taylor]: Taking taylor expansion of 1.0 in p 0.209 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.209 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.210 * [taylor]: Taking taylor expansion of 4.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.210 * [taylor]: Taking taylor expansion of p in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.212 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.213 * [taylor]: Taking taylor expansion of 4.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.213 * [taylor]: Taking taylor expansion of p in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of 2.0 in p 0.217 * [taylor]: Taking taylor expansion of 0 in p 0.221 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.221 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.221 * [taylor]: Taking taylor expansion of 2.0 in p 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.221 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.221 * [taylor]: Taking taylor expansion of p in p 0.232 * [taylor]: Taking taylor expansion of 0 in p 0.232 * [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 0.232 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.232 * [taylor]: Taking taylor expansion of 1.0 in p 0.232 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.232 * [taylor]: Taking taylor expansion of x in p 0.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.232 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.232 * [taylor]: Taking taylor expansion of x in p 0.232 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.232 * [taylor]: Taking taylor expansion of 4.0 in p 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.232 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.232 * [taylor]: Taking taylor expansion of p in p 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.237 * [taylor]: Taking taylor expansion of 4.0 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.237 * [taylor]: Taking taylor expansion of p in x 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.241 * [taylor]: Taking taylor expansion of 4.0 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.241 * [taylor]: Taking taylor expansion of p in x 0.244 * [taylor]: Taking taylor expansion of 0 in p 0.245 * [taylor]: Taking taylor expansion of 0 in p 0.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.249 * [taylor]: Taking taylor expansion of 2.0 in p 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.249 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.249 * [taylor]: Taking taylor expansion of p in p 0.252 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.252 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 0.252 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.252 * [taylor]: Taking taylor expansion of x in p 0.252 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.252 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.252 * [taylor]: Taking taylor expansion of x in p 0.252 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.252 * [taylor]: Taking taylor expansion of 4.0 in p 0.252 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.252 * [taylor]: Taking taylor expansion of p in p 0.253 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.253 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.253 * [taylor]: Taking taylor expansion of 4.0 in x 0.253 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.253 * [taylor]: Taking taylor expansion of p in x 0.254 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.255 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.255 * [taylor]: Taking taylor expansion of 4.0 in x 0.255 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.255 * [taylor]: Taking taylor expansion of p in x 0.256 * [taylor]: Taking taylor expansion of 0 in p 0.257 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.257 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.257 * [taylor]: Taking taylor expansion of 0.25 in p 0.257 * [taylor]: Taking taylor expansion of p in p 0.262 * [taylor]: Taking taylor expansion of 0 in p 0.263 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 0.263 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.264 * [taylor]: Taking taylor expansion of x in p 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.264 * [taylor]: Taking taylor expansion of x in p 0.264 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.264 * [taylor]: Taking taylor expansion of 4.0 in p 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.264 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.264 * [taylor]: Taking taylor expansion of p in p 0.268 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.269 * [taylor]: Taking taylor expansion of 4.0 in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.269 * [taylor]: Taking taylor expansion of p in x 0.271 * [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 0.272 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [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 0.276 * [taylor]: Taking taylor expansion of 0 in p 0.280 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.280 * [taylor]: Taking taylor expansion of 2.0 in p 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.280 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.280 * [taylor]: Taking taylor expansion of p in p 0.284 * [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 0.284 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.284 * [taylor]: Taking taylor expansion of -1 in p 0.284 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.284 * [taylor]: Taking taylor expansion of x in p 0.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.284 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.284 * [taylor]: Taking taylor expansion of x in p 0.284 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.284 * [taylor]: Taking taylor expansion of 4.0 in p 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.284 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.284 * [taylor]: Taking taylor expansion of p in p 0.288 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.288 * [taylor]: Taking taylor expansion of -1 in x 0.288 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.289 * [taylor]: Taking taylor expansion of 4.0 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.289 * [taylor]: Taking taylor expansion of p in x 0.292 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.292 * [taylor]: Taking taylor expansion of -1 in x 0.292 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 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 0.296 * [taylor]: Taking taylor expansion of -1 in p 0.297 * [taylor]: Taking taylor expansion of 0 in p 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.301 * [taylor]: Taking taylor expansion of 2.0 in p 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.301 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.301 * [taylor]: Taking taylor expansion of p in p 0.305 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1) 0.305 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in (p x) around 0 0.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.306 * [taylor]: Taking taylor expansion of 4.0 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 (+ (pow x 2) (* 4.0 (pow p 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 (pow p 2)) in p 0.306 * [taylor]: Taking taylor expansion of 4.0 in p 0.306 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.306 * [taylor]: Taking taylor expansion of p in p 0.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 (pow p 2)) in p 0.306 * [taylor]: Taking taylor expansion of 4.0 in p 0.306 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.306 * [taylor]: Taking taylor expansion of p in p 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of 0 in x 0.307 * [taylor]: Taking taylor expansion of 4.0 in x 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.314 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.315 * [taylor]: Taking taylor expansion of 4.0 in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.315 * [taylor]: Taking taylor expansion of p in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.316 * [taylor]: Taking taylor expansion of x in p 0.316 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.316 * [taylor]: Taking taylor expansion of 4.0 in p 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.316 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.316 * [taylor]: Taking taylor expansion of p in p 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.316 * [taylor]: Taking taylor expansion of x in p 0.316 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.316 * [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 0.318 * [taylor]: Taking taylor expansion of 4.0 in x 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of 0 in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.329 * [taylor]: Taking taylor expansion of 4.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.329 * [taylor]: Taking taylor expansion of p in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.329 * [taylor]: Taking taylor expansion of x in p 0.329 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.329 * [taylor]: Taking taylor expansion of 4.0 in p 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.329 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.329 * [taylor]: Taking taylor expansion of p in p 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.330 * [taylor]: Taking taylor expansion of x in p 0.330 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.330 * [taylor]: Taking taylor expansion of 4.0 in p 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.330 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.330 * [taylor]: Taking taylor expansion of p in p 0.331 * [taylor]: Taking taylor expansion of 4.0 in x 0.333 * [taylor]: Taking taylor expansion of 0 in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.340 * [taylor]: Taking taylor expansion of 0 in x 0.341 * * * [progress]: simplifying candidates 0.344 * [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))) 0.349 * * [simplify]: iteration 0 : 296 enodes (cost 867 ) 0.354 * * [simplify]: iteration 1 : 1081 enodes (cost 815 ) 0.374 * * [simplify]: iteration 2 : 4584 enodes (cost 798 ) 0.481 * * [simplify]: iteration 3 : 5001 enodes (cost 795 ) 0.485 * [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)) 0.485 * * * [progress]: adding candidates to table 0.764 * * [progress]: iteration 2 / 4 0.764 * * * [progress]: picking best candidate 0.809 * * * * [pick]: Picked # 0.809 * * * [progress]: localizing error 0.822 * * * [progress]: generating rewritten candidates 0.822 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2) 0.831 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.833 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.867 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 2 1) 0.876 * * * [progress]: generating series expansions 0.876 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2) 0.876 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.876 * [taylor]: Taking taylor expansion of 4.0 in x 0.876 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.876 * [taylor]: Taking taylor expansion of p in x 0.878 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.878 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.878 * [taylor]: Taking taylor expansion of x in p 0.878 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.878 * [taylor]: Taking taylor expansion of 4.0 in p 0.878 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.878 * [taylor]: Taking taylor expansion of p in p 0.878 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.878 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.878 * [taylor]: Taking taylor expansion of x in p 0.878 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.878 * [taylor]: Taking taylor expansion of 4.0 in p 0.879 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.879 * [taylor]: Taking taylor expansion of p in p 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of 0 in x 0.881 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.881 * [taylor]: Taking taylor expansion of 2.0 in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of 0 in x 0.884 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.884 * [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 0.885 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.885 * [taylor]: Taking taylor expansion of p in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.887 * [taylor]: Taking taylor expansion of x in p 0.887 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.887 * [taylor]: Taking taylor expansion of 4.0 in p 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.887 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.887 * [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 0.905 * [taylor]: Taking taylor expansion of 0 in x 0.908 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.909 * [taylor]: Taking taylor expansion of 4.0 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.909 * [taylor]: Taking taylor expansion of p in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.911 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.911 * [taylor]: Taking taylor expansion of x in p 0.911 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.911 * [taylor]: Taking taylor expansion of 4.0 in p 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.911 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.911 * [taylor]: Taking taylor expansion of p in p 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.914 * [taylor]: Taking taylor expansion of x in p 0.914 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.915 * [taylor]: Taking taylor expansion of 4.0 in p 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.915 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.915 * [taylor]: Taking taylor expansion of p in p 0.918 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.918 * [taylor]: Taking taylor expansion of 4.0 in x 0.918 * [taylor]: Taking taylor expansion of 0 in x 0.921 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 0.921 * [taylor]: Taking taylor expansion of 1/2 in x 0.921 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 0.922 * [taylor]: Taking taylor expansion of 4.0 in x 0.928 * [taylor]: Taking taylor expansion of 0 in x 0.931 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.932 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 0.932 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 0.932 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 0.932 * [taylor]: Taking taylor expansion of x in p 0.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 0.932 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 0.932 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.932 * [taylor]: Taking taylor expansion of x in p 0.932 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 0.932 * [taylor]: Taking taylor expansion of 4.0 in p 0.932 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.932 * [taylor]: Taking taylor expansion of p in p 0.933 * [taylor]: Taking taylor expansion of 1.0 in p 0.933 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.933 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.933 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.933 * [taylor]: Taking taylor expansion of 4.0 in x 0.933 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.933 * [taylor]: Taking taylor expansion of p in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 0.934 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 0.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 0.934 * [taylor]: Taking taylor expansion of 4.0 in x 0.934 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.934 * [taylor]: Taking taylor expansion of p in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in p 0.937 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 0.937 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.937 * [taylor]: Taking taylor expansion of 0.25 in p 0.938 * [taylor]: Taking taylor expansion of p in p 0.946 * [taylor]: Taking taylor expansion of 0 in p 0.952 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 0.952 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 0.952 * [taylor]: Taking taylor expansion of 0.03125 in p 0.952 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 0.952 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 0.952 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.952 * [taylor]: Taking taylor expansion of p in p 0.952 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 0.952 * [taylor]: Taking taylor expansion of 0.25 in p 0.963 * [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 0.963 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 0.963 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.963 * [taylor]: Taking taylor expansion of x in p 0.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.963 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.963 * [taylor]: Taking taylor expansion of x in p 0.964 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.964 * [taylor]: Taking taylor expansion of 4.0 in p 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.964 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.964 * [taylor]: Taking taylor expansion of p in p 0.967 * [taylor]: Taking taylor expansion of 1.0 in p 0.968 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.968 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.968 * [taylor]: Taking taylor expansion of 4.0 in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.969 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.969 * [taylor]: Taking taylor expansion of p in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 0.971 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.972 * [taylor]: Taking taylor expansion of 4.0 in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.972 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.972 * [taylor]: Taking taylor expansion of p in x 0.975 * [taylor]: Taking taylor expansion of 1.0 in x 0.975 * [taylor]: Taking taylor expansion of 2.0 in p 0.977 * [taylor]: Taking taylor expansion of 0 in p 0.980 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 0.980 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 0.980 * [taylor]: Taking taylor expansion of 2.0 in p 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.980 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.980 * [taylor]: Taking taylor expansion of p in p 0.988 * [taylor]: Taking taylor expansion of 0 in p 0.988 * [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 0.988 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 0.988 * [taylor]: Taking taylor expansion of 1.0 in p 0.988 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.988 * [taylor]: Taking taylor expansion of x in p 0.988 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 0.988 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.988 * [taylor]: Taking taylor expansion of x in p 0.988 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 0.988 * [taylor]: Taking taylor expansion of 4.0 in p 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.989 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.989 * [taylor]: Taking taylor expansion of p in p 0.992 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.993 * [taylor]: Taking taylor expansion of 4.0 in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.993 * [taylor]: Taking taylor expansion of p in x 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 0.997 * [taylor]: Taking taylor expansion of 4.0 in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.997 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.997 * [taylor]: Taking taylor expansion of p in x 1.001 * [taylor]: Taking taylor expansion of 0 in p 1.002 * [taylor]: Taking taylor expansion of 0 in p 1.006 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.006 * [taylor]: Taking taylor expansion of 2.0 in p 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.006 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.006 * [taylor]: Taking taylor expansion of p in p 1.009 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.009 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in (x p) around 0 1.009 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 1.009 * [taylor]: Taking taylor expansion of x in p 1.009 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 1.009 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 1.009 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 1.009 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.009 * [taylor]: Taking taylor expansion of 4.0 in p 1.009 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.009 * [taylor]: Taking taylor expansion of p in p 1.010 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.010 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 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 1.010 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.010 * [taylor]: Taking taylor expansion of 4.0 in x 1.010 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.010 * [taylor]: Taking taylor expansion of p in x 1.011 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 1.011 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.011 * [taylor]: Taking taylor expansion of 4.0 in x 1.011 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.011 * [taylor]: Taking taylor expansion of p in x 1.013 * [taylor]: Taking taylor expansion of 0 in p 1.013 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.013 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.013 * [taylor]: Taking taylor expansion of 0.25 in p 1.014 * [taylor]: Taking taylor expansion of p in p 1.019 * [taylor]: Taking taylor expansion of 0 in p 1.020 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 1.020 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.020 * [taylor]: Taking taylor expansion of x in p 1.020 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.020 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.020 * [taylor]: Taking taylor expansion of x in p 1.020 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.020 * [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 1.027 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.028 * [taylor]: Taking taylor expansion of 4.0 in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.028 * [taylor]: Taking taylor expansion of p in x 1.031 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.032 * [taylor]: Taking taylor expansion of 4.0 in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.032 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.032 * [taylor]: Taking taylor expansion of p in x 1.035 * [taylor]: Taking taylor expansion of 1 in p 1.036 * [taylor]: Taking taylor expansion of 0 in p 1.039 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.039 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.039 * [taylor]: Taking taylor expansion of 2.0 in p 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.039 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.039 * [taylor]: Taking taylor expansion of p in p 1.043 * [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 1.043 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.043 * [taylor]: Taking taylor expansion of -1 in p 1.044 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.044 * [taylor]: Taking taylor expansion of x in p 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.044 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.044 * [taylor]: Taking taylor expansion of x in p 1.044 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.044 * [taylor]: Taking taylor expansion of 4.0 in p 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.044 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.044 * [taylor]: Taking taylor expansion of p in p 1.048 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.049 * [taylor]: Taking taylor expansion of 4.0 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.049 * [taylor]: Taking taylor expansion of p in x 1.051 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.051 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.052 * [taylor]: Taking taylor expansion of 4.0 in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.052 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.053 * [taylor]: Taking taylor expansion of p in x 1.056 * [taylor]: Taking taylor expansion of -1 in p 1.057 * [taylor]: Taking taylor expansion of 0 in p 1.061 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.061 * [taylor]: Taking taylor expansion of 2.0 in p 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.061 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.061 * [taylor]: Taking taylor expansion of p in p 1.065 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 2 1) 1.065 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in (p x) around 0 1.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.065 * [taylor]: Taking taylor expansion of 4.0 in x 1.065 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.065 * [taylor]: Taking taylor expansion of p in x 1.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.065 * [taylor]: Taking taylor expansion of x in p 1.065 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.065 * [taylor]: Taking taylor expansion of 4.0 in p 1.065 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.065 * [taylor]: Taking taylor expansion of p in p 1.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.065 * [taylor]: Taking taylor expansion of x in p 1.065 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.065 * [taylor]: Taking taylor expansion of 4.0 in p 1.065 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.065 * [taylor]: Taking taylor expansion of p in p 1.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [taylor]: Taking taylor expansion of 0 in x 1.067 * [taylor]: Taking taylor expansion of 4.0 in x 1.069 * [taylor]: Taking taylor expansion of 0 in x 1.071 * [taylor]: Taking taylor expansion of 0 in x 1.071 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.072 * [taylor]: Taking taylor expansion of 4.0 in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.072 * [taylor]: Taking taylor expansion of p in x 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.072 * [taylor]: Taking taylor expansion of x in p 1.072 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.072 * [taylor]: Taking taylor expansion of 4.0 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 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.073 * [taylor]: Taking taylor expansion of x in p 1.073 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.073 * [taylor]: Taking taylor expansion of 4.0 in p 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.073 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.073 * [taylor]: Taking taylor expansion of p in p 1.074 * [taylor]: Taking taylor expansion of 4.0 in x 1.076 * [taylor]: Taking taylor expansion of 0 in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of 0 in x 1.083 * [taylor]: Taking taylor expansion of 0 in x 1.085 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (p x) around 0 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 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.085 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.085 * [taylor]: Taking taylor expansion of x in p 1.086 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.086 * [taylor]: Taking taylor expansion of 4.0 in p 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.086 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.086 * [taylor]: Taking taylor expansion of p in p 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.086 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.086 * [taylor]: Taking taylor expansion of x in p 1.086 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.086 * [taylor]: Taking taylor expansion of 4.0 in p 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.086 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.086 * [taylor]: Taking taylor expansion of p in p 1.087 * [taylor]: Taking taylor expansion of 4.0 in x 1.089 * [taylor]: Taking taylor expansion of 0 in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of 0 in x 1.098 * [taylor]: Taking taylor expansion of 0 in x 1.100 * * * [progress]: simplifying candidates 1.105 * [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))) 1.115 * * [simplify]: iteration 0 : 405 enodes (cost 866 ) 1.128 * * [simplify]: iteration 1 : 1987 enodes (cost 780 ) 1.160 * * [simplify]: iteration 2 : 5002 enodes (cost 742 ) 1.167 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log1p (sqrt (+ (* (* 4.0 p) p) (* x x)))) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))) (exp (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (pow (sqrt (+ (* (* 4.0 p) p) (* x x))) 3) (fabs (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1 (sqrt (+ (* (* 4.0 p) p) (* x x))) (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2)) (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))) (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))) (sqrt (- (* (* 4.0 p) p) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (expm1 (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (log1p (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (exp (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (log (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (exp (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (pow (+ (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 1.0) 3) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ (pow 1.0 3) (pow (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) 3)) (fma (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (- (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) 1.0) (* 1.0 1.0)) (fma (- (* x x)) (/ 1 (fma (* 4.0 p) p (* x x))) (* 1.0 1.0)) (- 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (expm1 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x))))) (exp (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (* (cbrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3) (sqrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* x (* (cbrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* x (sqrt (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (fabs (cbrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) x x x (/ x (hypot (pow x 3) (pow (* (* 4.0 p) p) 3/2))) (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) (* (cbrt x) (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ (pow x 1/2) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) x (expm1 (+ (* (* 4.0 p) p) (* x x))) (log1p (+ (* (* 4.0 p) p) (* x x))) (exp (+ (* (* 4.0 p) p) (* x x))) (log (+ (* (* 4.0 p) p) (* x x))) (exp (+ (* (* 4.0 p) p) (* x x))) (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (+ (* (* 4.0 p) p) (* x x))) (pow (fma (* 4.0 p) p (* x x)) 3) (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x))) (fma (pow 4.0 3) (pow (pow p 2) 3) (pow x 6)) (fma (* 4.0 (* (pow p 3) 4.0)) p (* (pow x 2) (- (pow x 2) (* (* 4.0 p) p)))) (fma (* 4.0 (* (pow p 3) 4.0)) p (* (- (pow x 3)) x)) (- (* (* 4.0 p) p) (* x x)) x (* p (sqrt 4.0)) (* -1 (* p (sqrt 4.0))) 1.0 2.0 0 0 0 0 (fma (* 4.0 p) p (* x x)) (fma (* 4.0 p) p (* x x)) (fma (* 4.0 p) p (* x x)) 1.168 * * * [progress]: adding candidates to table 1.466 * * [progress]: iteration 3 / 4 1.466 * * * [progress]: picking best candidate 1.501 * * * * [pick]: Picked # 1.501 * * * [progress]: localizing error 1.513 * * * [progress]: generating rewritten candidates 1.514 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2) 1.517 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.519 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.538 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 2 1) 1.543 * * * [progress]: generating series expansions 1.544 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2) 1.544 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (pow p 2)) (pow x 2))) in (x p) around 0 1.544 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (pow p 2)) (pow x 2))) in p 1.544 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in p 1.544 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.544 * [taylor]: Taking taylor expansion of 4.0 in p 1.544 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.544 * [taylor]: Taking taylor expansion of p in p 1.544 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.544 * [taylor]: Taking taylor expansion of x in p 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (pow p 2)) (pow x 2))) in x 1.545 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in x 1.545 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.545 * [taylor]: Taking taylor expansion of 4.0 in x 1.545 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.545 * [taylor]: Taking taylor expansion of p in x 1.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (pow p 2)) (pow x 2))) in x 1.546 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in x 1.546 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.546 * [taylor]: Taking taylor expansion of 4.0 in x 1.546 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.546 * [taylor]: Taking taylor expansion of p in x 1.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p 1.547 * [taylor]: Taking taylor expansion of p in p 1.547 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p 1.547 * [taylor]: Taking taylor expansion of 4.0 in p 1.548 * [taylor]: Taking taylor expansion of 0 in p 1.552 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p 1.552 * [taylor]: Taking taylor expansion of 1/2 in p 1.552 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p 1.552 * [taylor]: Taking taylor expansion of p in p 1.552 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p 1.552 * [taylor]: Taking taylor expansion of 4.0 in p 1.561 * [taylor]: Taking taylor expansion of 0 in p 1.564 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (x p) around 0 1.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.564 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.564 * [taylor]: Taking taylor expansion of x in p 1.564 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.564 * [taylor]: Taking taylor expansion of 4.0 in p 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.564 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.564 * [taylor]: Taking taylor expansion of p in p 1.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.568 * [taylor]: Taking taylor expansion of 4.0 in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.568 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.568 * [taylor]: Taking taylor expansion of p in x 1.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.571 * [taylor]: Taking taylor expansion of 4.0 in x 1.571 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.571 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.571 * [taylor]: Taking taylor expansion of p in x 1.573 * [taylor]: Taking taylor expansion of 1 in p 1.573 * [taylor]: Taking taylor expansion of 0 in p 1.578 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p 1.578 * [taylor]: Taking taylor expansion of 2.0 in p 1.578 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.578 * [taylor]: Taking taylor expansion of p in p 1.582 * [taylor]: Taking taylor expansion of 0 in p 1.584 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (x p) around 0 1.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.584 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.584 * [taylor]: Taking taylor expansion of x in p 1.584 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.584 * [taylor]: Taking taylor expansion of 4.0 in p 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.584 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.584 * [taylor]: Taking taylor expansion of p in p 1.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.587 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.588 * [taylor]: Taking taylor expansion of 4.0 in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.588 * [taylor]: Taking taylor expansion of p in x 1.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.591 * [taylor]: Taking taylor expansion of 4.0 in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.591 * [taylor]: Taking taylor expansion of p in x 1.593 * [taylor]: Taking taylor expansion of 1 in p 1.593 * [taylor]: Taking taylor expansion of 0 in p 1.595 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p 1.595 * [taylor]: Taking taylor expansion of 2.0 in p 1.595 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.595 * [taylor]: Taking taylor expansion of p in p 1.599 * [taylor]: Taking taylor expansion of 0 in p 1.600 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.600 * [approximate]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) 1.0) in (x p) around 0 1.600 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) 1.0) in p 1.600 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) in p 1.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) in p 1.600 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2))) in p 1.600 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in p 1.600 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.600 * [taylor]: Taking taylor expansion of 4.0 in p 1.600 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.600 * [taylor]: Taking taylor expansion of p in p 1.600 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.600 * [taylor]: Taking taylor expansion of x in p 1.601 * [taylor]: Taking taylor expansion of x in p 1.601 * [taylor]: Taking taylor expansion of 1.0 in p 1.601 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) 1.0) in x 1.601 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) in x 1.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2))) in x 1.601 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in x 1.601 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.601 * [taylor]: Taking taylor expansion of 4.0 in x 1.601 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.601 * [taylor]: Taking taylor expansion of p in x 1.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of 1.0 in x 1.603 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) 1.0) in x 1.603 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) in x 1.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2))) in x 1.603 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in x 1.603 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.603 * [taylor]: Taking taylor expansion of 4.0 in x 1.603 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.603 * [taylor]: Taking taylor expansion of p in x 1.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of 1.0 in x 1.605 * [taylor]: Taking taylor expansion of 1.0 in p 1.605 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.606 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.606 * [taylor]: Taking taylor expansion of 0.25 in p 1.606 * [taylor]: Taking taylor expansion of p in p 1.611 * [taylor]: Taking taylor expansion of 0 in p 1.617 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 1.617 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 1.617 * [taylor]: Taking taylor expansion of 0.03125 in p 1.617 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 1.617 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 1.617 * [taylor]: Taking taylor expansion of (pow p 3) in p 1.617 * [taylor]: Taking taylor expansion of p in p 1.617 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.617 * [taylor]: Taking taylor expansion of 0.25 in p 1.629 * [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 1.629 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 1.629 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.629 * [taylor]: Taking taylor expansion of x in p 1.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.629 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.629 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.629 * [taylor]: Taking taylor expansion of x in p 1.629 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.629 * [taylor]: Taking taylor expansion of 4.0 in p 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.629 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.629 * [taylor]: Taking taylor expansion of p in p 1.633 * [taylor]: Taking taylor expansion of 1.0 in p 1.633 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.633 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.634 * [taylor]: Taking taylor expansion of 4.0 in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.634 * [taylor]: Taking taylor expansion of p in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 1.637 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.638 * [taylor]: Taking taylor expansion of x in x 1.638 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.638 * [taylor]: Taking taylor expansion of 4.0 in x 1.638 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.638 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.638 * [taylor]: Taking taylor expansion of p in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of 2.0 in p 1.642 * [taylor]: Taking taylor expansion of 0 in p 1.646 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.646 * [taylor]: Taking taylor expansion of 2.0 in p 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.646 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.646 * [taylor]: Taking taylor expansion of p in p 1.654 * [taylor]: Taking taylor expansion of 0 in p 1.654 * [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 1.654 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.654 * [taylor]: Taking taylor expansion of 1.0 in p 1.654 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.654 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.654 * [taylor]: Taking taylor expansion of x in p 1.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.654 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.654 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.654 * [taylor]: Taking taylor expansion of x in p 1.655 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.655 * [taylor]: Taking taylor expansion of 4.0 in p 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.655 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.655 * [taylor]: Taking taylor expansion of p in p 1.658 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.659 * [taylor]: Taking taylor expansion of 4.0 in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.659 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.659 * [taylor]: Taking taylor expansion of p in x 1.662 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.662 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.666 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.666 * [taylor]: Taking taylor expansion of 4.0 in x 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.666 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.666 * [taylor]: Taking taylor expansion of p in x 1.669 * [taylor]: Taking taylor expansion of 0 in p 1.671 * [taylor]: Taking taylor expansion of 0 in p 1.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.674 * [taylor]: Taking taylor expansion of 2.0 in p 1.674 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.674 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.674 * [taylor]: Taking taylor expansion of p in p 1.677 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.677 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) in (x p) around 0 1.677 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) in p 1.677 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) in p 1.678 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2))) in p 1.678 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in p 1.678 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.678 * [taylor]: Taking taylor expansion of 4.0 in p 1.678 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.678 * [taylor]: Taking taylor expansion of p in p 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.678 * [taylor]: Taking taylor expansion of x in p 1.678 * [taylor]: Taking taylor expansion of x in p 1.678 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) in x 1.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2))) in x 1.678 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in x 1.678 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.679 * [taylor]: Taking taylor expansion of 4.0 in x 1.679 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.679 * [taylor]: Taking taylor expansion of p in x 1.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) x) in x 1.680 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2)))) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (pow p 2)) (pow x 2))) in x 1.680 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in x 1.680 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.680 * [taylor]: Taking taylor expansion of 4.0 in x 1.680 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.680 * [taylor]: Taking taylor expansion of p in x 1.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of 0 in p 1.682 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 1.682 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 1.682 * [taylor]: Taking taylor expansion of 0.25 in p 1.683 * [taylor]: Taking taylor expansion of p in p 1.687 * [taylor]: Taking taylor expansion of 0 in p 1.689 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in (x p) around 0 1.689 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.689 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.689 * [taylor]: Taking taylor expansion of x in p 1.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.689 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.689 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.689 * [taylor]: Taking taylor expansion of x in p 1.689 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.689 * [taylor]: Taking taylor expansion of 4.0 in p 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.689 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.689 * [taylor]: Taking taylor expansion of p in p 1.693 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.694 * [taylor]: Taking taylor expansion of 4.0 in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.694 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.694 * [taylor]: Taking taylor expansion of p in x 1.697 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.697 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.697 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.698 * [taylor]: Taking taylor expansion of 4.0 in x 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.698 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.698 * [taylor]: Taking taylor expansion of p in x 1.700 * [taylor]: Taking taylor expansion of 1 in p 1.701 * [taylor]: Taking taylor expansion of 0 in p 1.705 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 1.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.705 * [taylor]: Taking taylor expansion of 2.0 in p 1.705 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.705 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.705 * [taylor]: Taking taylor expansion of p in p 1.709 * [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 1.709 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 1.709 * [taylor]: Taking taylor expansion of -1 in p 1.709 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 1.709 * [taylor]: Taking taylor expansion of (/ 1 x) in p 1.709 * [taylor]: Taking taylor expansion of x in p 1.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 1.709 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 1.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.710 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.710 * [taylor]: Taking taylor expansion of x in p 1.710 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.710 * [taylor]: Taking taylor expansion of 4.0 in p 1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.710 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.710 * [taylor]: Taking taylor expansion of p in p 1.714 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.714 * [taylor]: Taking taylor expansion of -1 in x 1.714 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.714 * [taylor]: Taking taylor expansion of 4.0 in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.715 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.715 * [taylor]: Taking taylor expansion of p in x 1.717 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 1.717 * [taylor]: Taking taylor expansion of -1 in x 1.717 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 1.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.718 * [taylor]: Taking taylor expansion of 4.0 in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.718 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.718 * [taylor]: Taking taylor expansion of p in x 1.721 * [taylor]: Taking taylor expansion of -1 in p 1.723 * [taylor]: Taking taylor expansion of 0 in p 1.727 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 1.727 * [taylor]: Taking taylor expansion of 2.0 in p 1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.727 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.727 * [taylor]: Taking taylor expansion of p in p 1.731 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 2 1) 1.731 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in (x p) around 0 1.731 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in p 1.731 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.731 * [taylor]: Taking taylor expansion of 4.0 in p 1.731 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.731 * [taylor]: Taking taylor expansion of p in p 1.731 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.731 * [taylor]: Taking taylor expansion of x in p 1.731 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in x 1.731 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.731 * [taylor]: Taking taylor expansion of 4.0 in x 1.731 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.731 * [taylor]: Taking taylor expansion of p in x 1.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow p 2)) (pow x 2)) in x 1.731 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 1.731 * [taylor]: Taking taylor expansion of 4.0 in x 1.731 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.731 * [taylor]: Taking taylor expansion of p in x 1.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.732 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 1.732 * [taylor]: Taking taylor expansion of 4.0 in p 1.732 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.732 * [taylor]: Taking taylor expansion of p in p 1.732 * [taylor]: Taking taylor expansion of 0 in p 1.734 * [taylor]: Taking taylor expansion of 1 in p 1.736 * [taylor]: Taking taylor expansion of 0 in p 1.739 * [taylor]: Taking taylor expansion of 0 in p 1.740 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (x p) around 0 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.740 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.740 * [taylor]: Taking taylor expansion of x in p 1.740 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.740 * [taylor]: Taking taylor expansion of 4.0 in p 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.740 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.740 * [taylor]: Taking taylor expansion of p in p 1.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.741 * [taylor]: Taking taylor expansion of 4.0 in x 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.741 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.741 * [taylor]: Taking taylor expansion of p in x 1.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.742 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.742 * [taylor]: Taking taylor expansion of 4.0 in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.742 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.742 * [taylor]: Taking taylor expansion of p in x 1.742 * [taylor]: Taking taylor expansion of 1 in p 1.743 * [taylor]: Taking taylor expansion of 0 in p 1.745 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.745 * [taylor]: Taking taylor expansion of 4.0 in p 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.745 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.745 * [taylor]: Taking taylor expansion of p in p 1.747 * [taylor]: Taking taylor expansion of 0 in p 1.754 * [taylor]: Taking taylor expansion of 0 in p 1.756 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in (x p) around 0 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in p 1.756 * [taylor]: Taking taylor expansion of x in p 1.756 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.756 * [taylor]: Taking taylor expansion of 4.0 in p 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.756 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.756 * [taylor]: Taking taylor expansion of p in p 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.757 * [taylor]: Taking taylor expansion of 4.0 in x 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.757 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.757 * [taylor]: Taking taylor expansion of p in x 1.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.758 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 1.758 * [taylor]: Taking taylor expansion of 4.0 in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 1.758 * [taylor]: Taking taylor expansion of (pow p 2) in x 1.758 * [taylor]: Taking taylor expansion of p in x 1.758 * [taylor]: Taking taylor expansion of 1 in p 1.759 * [taylor]: Taking taylor expansion of 0 in p 1.761 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 1.761 * [taylor]: Taking taylor expansion of 4.0 in p 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 1.761 * [taylor]: Taking taylor expansion of (pow p 2) in p 1.761 * [taylor]: Taking taylor expansion of p in p 1.763 * [taylor]: Taking taylor expansion of 0 in p 1.767 * [taylor]: Taking taylor expansion of 0 in p 1.769 * * * [progress]: simplifying candidates 1.771 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* (* 4.0 p) p)))) (log1p (sqrt (+ (* x x) (* (* 4.0 p) p)))) (log (sqrt (+ (* x x) (* (* 4.0 p) p)))) (exp (sqrt (+ (* x x) (* (* 4.0 p) p)))) (* (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (* (* (sqrt (+ (* x x) (* (* 4.0 p) p))) (sqrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (* (cbrt (+ (* x x) (* (* 4.0 p) p))) (cbrt (+ (* x x) (* (* 4.0 p) p))))) (sqrt (cbrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt 1) (sqrt (+ (* x x) (* (* 4.0 p) p))) (sqrt (+ (pow (* x x) 3) (pow (* (* 4.0 p) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* (* 4.0 p) p))))) (sqrt (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* (* 4.0 p) p)))) (sqrt (- (* x x) (* (* 4.0 p) p))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (expm1 (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (log1p (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (* (exp 1.0) (exp (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (log (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (exp (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (* (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (* (* (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (+ (pow 1.0 3) (pow (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) 3)) (+ (* 1.0 1.0) (- (* (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))))) (- (* 1.0 1.0) (* (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (- 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (expm1 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (log1p (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (+ (log x) (- (log (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (+ (log x) (- 0 (log (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (+ (log x) (- (log 1) (log (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (+ (log x) (log (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (log (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (exp (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (sqrt (+ (* x x) (* (* 4.0 p) p))) (sqrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (* (* x x) x) (* (* (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))) (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (cbrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (cbrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (cbrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (* (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (sqrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (sqrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (* (cbrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (cbrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (* x (sqrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ (* x x) (* (* 4.0 p) p))) (cbrt (+ (* x x) (* (* 4.0 p) p))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (* x (/ (sqrt 1) (sqrt (* (cbrt (+ (* x x) (* (* 4.0 p) p))) (cbrt (+ (* x x) (* (* 4.0 p) p))))))) (* x (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (/ (sqrt 1) (sqrt 1))) (* x (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (* x (/ 1 (sqrt (* (cbrt (+ (* x x) (* (* 4.0 p) p))) (cbrt (+ (* x x) (* (* 4.0 p) p))))))) (* x (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (/ 1 (sqrt 1))) (* x (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (sqrt (+ (pow (* x x) 3) (pow (* (* 4.0 p) p) 3))))) (* x (/ 1 (sqrt (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* (* 4.0 p) p)))))) (* (cbrt x) (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (* (sqrt x) (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (* x 1) (expm1 (+ (* x x) (* (* 4.0 p) p))) (log1p (+ (* x x) (* (* 4.0 p) p))) (* (exp (* x x)) (exp (* (* 4.0 p) p))) (log (+ (* x x) (* (* 4.0 p) p))) (exp (+ (* x x) (* (* 4.0 p) p))) (* (cbrt (+ (* x x) (* (* 4.0 p) p))) (cbrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (+ (* x x) (* (* 4.0 p) p))) (* (* (+ (* x x) (* (* 4.0 p) p)) (+ (* x x) (* (* 4.0 p) p))) (+ (* x x) (* (* 4.0 p) p))) (sqrt (+ (* x x) (* (* 4.0 p) p))) (sqrt (+ (* x x) (* (* 4.0 p) p))) (+ (pow (* x x) 3) (pow (* (* 4.0 p) p) 3)) (+ (* (* x x) (* x x)) (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* (* 4.0 p) p)))) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* (* 4.0 p) p))) (- (* x x) (* (* 4.0 p) p)) (* p (sqrt 4.0)) x (* -1 x) 1.0 2.0 0 0 0 0 (+ (pow x 2) (* 4.0 (pow p 2))) (+ (* 4.0 (pow p 2)) (pow x 2)) (+ (* 4.0 (pow p 2)) (pow x 2)) 1.777 * * [simplify]: iteration 0 : 403 enodes (cost 863 ) 1.786 * * [simplify]: iteration 1 : 2007 enodes (cost 777 ) 1.817 * * [simplify]: iteration 2 : 5001 enodes (cost 737 ) 1.820 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* (* 4.0 p) p)))) (log1p (sqrt (+ (* x x) (* (* 4.0 p) p)))) (log (sqrt (+ (* x x) (* (* 4.0 p) p)))) (exp (sqrt (+ (* x x) (* (* 4.0 p) p)))) (* (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (pow (sqrt (+ (* x x) (* (* 4.0 p) p))) 3) (fabs (cbrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (cbrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) 1 (sqrt (+ (* x x) (* (* 4.0 p) p))) (hypot (pow (* (* 4.0 p) p) 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* (* 4.0 p) p))))) (sqrt (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* (* 4.0 p) p)))) (sqrt (- (* x x) (* (* 4.0 p) p))) 1/2 (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (expm1 (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (log1p (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (exp (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (log (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (exp (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (* (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))))) (cbrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (pow (+ (/ x (sqrt (+ (* x x) (* (* 4.0 p) p)))) 1.0) 3) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (sqrt (+ 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (+ (pow 1.0 3) (pow (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) 3)) (fma (/ x (sqrt (+ (* x x) (* (* 4.0 p) p)))) (- (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) 1.0) (* 1.0 1.0)) (fma (- (pow x 2)) (/ 1 (fma x x (* (* 4.0 p) p))) (* 1.0 1.0)) (- 1.0 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (expm1 (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (log1p (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (/ x (sqrt (+ (* x x) (* (* 4.0 p) p)))) (- (log x) (log (sqrt (+ (* x x) (* (* 4.0 p) p))))) (- (log x) (log (sqrt (+ (* x x) (* (* 4.0 p) p))))) (- (log x) (log (sqrt (+ (* x x) (* (* 4.0 p) p))))) (- (log x) (log (sqrt (+ (* x x) (* (* 4.0 p) p))))) (- (log x) (log (sqrt (+ (* x x) (* (* 4.0 p) p))))) (exp (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (pow (/ x (sqrt (+ (* x x) (* (* 4.0 p) p)))) 3) (pow (/ x (sqrt (+ (* x x) (* (* 4.0 p) p)))) 3) (* (cbrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (cbrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (cbrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (pow (/ x (sqrt (+ (* x x) (* (* 4.0 p) p)))) 3) (sqrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (sqrt (* x (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (/ (pow x 1/2) (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) (* x (* (cbrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (cbrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))))) (* x (sqrt (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (/ x (* (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (/ x (fabs (cbrt (+ (* x x) (* (* 4.0 p) p))))) (/ x (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) x (/ x (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) x (/ x (* (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (/ x (fabs (cbrt (+ (* x x) (* (* 4.0 p) p))))) (/ x (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) x (/ x (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) x (/ x (* (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4.0 p) p)))))) (/ x (fabs (cbrt (+ (* x x) (* (* 4.0 p) p))))) (/ x (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) x (/ x (sqrt (sqrt (+ (* x x) (* (* 4.0 p) p))))) x x x (/ x (hypot (pow (* (* 4.0 p) p) 3/2) (pow x 3))) (/ x (sqrt (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* (* 4.0 p) p))))) (* (cbrt x) (/ 1 (sqrt (+ (* x x) (* (* 4.0 p) p))))) (/ (pow x 1/2) (sqrt (+ (* x x) (* (* 4.0 p) p)))) (/ x (sqrt (+ (* x x) (* (* 4.0 p) p)))) x (expm1 (+ (* x x) (* (* 4.0 p) p))) (log1p (+ (* x x) (* (* 4.0 p) p))) (exp (+ (* x x) (* (* 4.0 p) p))) (log (+ (* x x) (* (* 4.0 p) p))) (exp (+ (* x x) (* (* 4.0 p) p))) (* (cbrt (+ (* x x) (* (* 4.0 p) p))) (cbrt (+ (* x x) (* (* 4.0 p) p)))) (cbrt (+ (* x x) (* (* 4.0 p) p))) (pow (fma x x (* (* 4.0 p) p)) 3) (sqrt (+ (* x x) (* (* 4.0 p) p))) (sqrt (+ (* x x) (* (* 4.0 p) p))) (fma (pow 4.0 3) (pow (pow p 2) 3) (pow x 6)) (fma 4.0 (* (pow p 2) (- (* (* 4.0 p) p) (pow x 2))) (pow x 4)) (fma (- (* 4.0 p)) (* (pow p 3) 4.0) (pow x 4)) (- (* x x) (* (* 4.0 p) p)) (* p (sqrt 4.0)) x (* -1 x) 1.0 2.0 0 0 0 0 (fma x x (* (* 4.0 p) p)) (fma x x (* (* 4.0 p) p)) (fma x x (* (* 4.0 p) p)) 1.821 * * * [progress]: adding candidates to table 2.106 * * [progress]: iteration 4 / 4 2.106 * * * [progress]: picking best candidate 2.139 * * * * [pick]: Picked # 2.139 * * * [progress]: localizing error 2.153 * * * [progress]: generating rewritten candidates 2.153 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.175 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2 2 1) 2.185 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2 1 1) 2.197 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2) 2.253 * * * [progress]: generating series expansions 2.253 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.254 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in (x p) around 0 2.254 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in p 2.254 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in p 2.254 * [taylor]: Taking taylor expansion of x in p 2.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p 2.254 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.254 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.254 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.254 * [taylor]: Taking taylor expansion of x in p 2.254 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.254 * [taylor]: Taking taylor expansion of 4.0 in p 2.254 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.254 * [taylor]: Taking taylor expansion of p in p 2.255 * [taylor]: Taking taylor expansion of 1.0 in p 2.255 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.255 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.255 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.255 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.255 * [taylor]: Taking taylor expansion of 4.0 in x 2.255 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.255 * [taylor]: Taking taylor expansion of p in x 2.256 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) 1.0) in x 2.256 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))))) in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x 2.257 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.257 * [taylor]: Taking taylor expansion of 4.0 in x 2.257 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.257 * [taylor]: Taking taylor expansion of p in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in p 2.259 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p 2.259 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.259 * [taylor]: Taking taylor expansion of 0.25 in p 2.260 * [taylor]: Taking taylor expansion of p in p 2.265 * [taylor]: Taking taylor expansion of 0 in p 2.271 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p 2.271 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p 2.271 * [taylor]: Taking taylor expansion of 0.03125 in p 2.271 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p 2.271 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p 2.271 * [taylor]: Taking taylor expansion of (pow p 3) in p 2.271 * [taylor]: Taking taylor expansion of p in p 2.271 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p 2.271 * [taylor]: Taking taylor expansion of 0.25 in p 2.286 * [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 2.286 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in p 2.286 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.286 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.286 * [taylor]: Taking taylor expansion of x in p 2.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.286 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.287 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.287 * [taylor]: Taking taylor expansion of x in p 2.287 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.287 * [taylor]: Taking taylor expansion of 4.0 in p 2.287 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.287 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.287 * [taylor]: Taking taylor expansion of p in p 2.291 * [taylor]: Taking taylor expansion of 1.0 in p 2.291 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.291 * [taylor]: Taking taylor expansion of x in x 2.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.291 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.291 * [taylor]: Taking taylor expansion of x in x 2.292 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.292 * [taylor]: Taking taylor expansion of 4.0 in x 2.292 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.292 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.292 * [taylor]: Taking taylor expansion of p in x 2.295 * [taylor]: Taking taylor expansion of 1.0 in x 2.295 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) 1.0) in x 2.295 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.296 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.296 * [taylor]: Taking taylor expansion of 4.0 in x 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.296 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.296 * [taylor]: Taking taylor expansion of p in x 2.299 * [taylor]: Taking taylor expansion of 1.0 in x 2.299 * [taylor]: Taking taylor expansion of 2.0 in p 2.300 * [taylor]: Taking taylor expansion of 0 in p 2.304 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p 2.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.304 * [taylor]: Taking taylor expansion of 2.0 in p 2.304 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.304 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.304 * [taylor]: Taking taylor expansion of p in p 2.312 * [taylor]: Taking taylor expansion of 0 in p 2.312 * [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 2.312 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in p 2.312 * [taylor]: Taking taylor expansion of 1.0 in p 2.312 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in p 2.312 * [taylor]: Taking taylor expansion of (/ 1 x) in p 2.312 * [taylor]: Taking taylor expansion of x in p 2.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in p 2.312 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.312 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.312 * [taylor]: Taking taylor expansion of x in p 2.312 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.313 * [taylor]: Taking taylor expansion of 4.0 in p 2.313 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.313 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.313 * [taylor]: Taking taylor expansion of p in p 2.316 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.316 * [taylor]: Taking taylor expansion of 1.0 in x 2.316 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.316 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.317 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.317 * [taylor]: Taking taylor expansion of 4.0 in x 2.317 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.317 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.317 * [taylor]: Taking taylor expansion of p in x 2.320 * [taylor]: Taking taylor expansion of (- 1.0 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))))) in x 2.320 * [taylor]: Taking taylor expansion of 1.0 in x 2.320 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))))) in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.320 * [taylor]: Taking taylor expansion of x in x 2.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))))) in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.321 * [taylor]: Taking taylor expansion of 4.0 in x 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.321 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.321 * [taylor]: Taking taylor expansion of p in x 2.325 * [taylor]: Taking taylor expansion of 0 in p 2.326 * [taylor]: Taking taylor expansion of 0 in p 2.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p 2.330 * [taylor]: Taking taylor expansion of 2.0 in p 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.330 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.330 * [taylor]: Taking taylor expansion of p in p 2.333 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2 2 1) 2.333 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.333 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.333 * [taylor]: Taking taylor expansion of 4.0 in x 2.333 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.333 * [taylor]: Taking taylor expansion of p in x 2.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.334 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.334 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.334 * [taylor]: Taking taylor expansion of x in p 2.334 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.334 * [taylor]: Taking taylor expansion of 4.0 in p 2.334 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.334 * [taylor]: Taking taylor expansion of p in p 2.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.335 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.335 * [taylor]: Taking taylor expansion of x in p 2.335 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.335 * [taylor]: Taking taylor expansion of 4.0 in p 2.335 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.335 * [taylor]: Taking taylor expansion of p in p 2.335 * [taylor]: Taking taylor expansion of x in x 2.335 * [taylor]: Taking taylor expansion of 0 in x 2.337 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.337 * [taylor]: Taking taylor expansion of 2.0 in x 2.337 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of 0 in x 2.341 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.341 * [taylor]: Taking taylor expansion of 4.0 in x 2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.341 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.341 * [taylor]: Taking taylor expansion of p in x 2.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.343 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.343 * [taylor]: Taking taylor expansion of x in p 2.344 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.344 * [taylor]: Taking taylor expansion of 4.0 in p 2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.344 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.344 * [taylor]: Taking taylor expansion of p in p 2.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.347 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.347 * [taylor]: Taking taylor expansion of x in p 2.347 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.347 * [taylor]: Taking taylor expansion of 4.0 in p 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.347 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.347 * [taylor]: Taking taylor expansion of p in p 2.350 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.350 * [taylor]: Taking taylor expansion of 4.0 in x 2.351 * [taylor]: Taking taylor expansion of 0 in x 2.354 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.354 * [taylor]: Taking taylor expansion of 1/2 in x 2.354 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.354 * [taylor]: Taking taylor expansion of x in x 2.354 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.354 * [taylor]: Taking taylor expansion of 4.0 in x 2.360 * [taylor]: Taking taylor expansion of 0 in x 2.367 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.367 * [taylor]: Taking taylor expansion of 4.0 in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.367 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.367 * [taylor]: Taking taylor expansion of p in x 2.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.370 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.370 * [taylor]: Taking taylor expansion of x in p 2.370 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.370 * [taylor]: Taking taylor expansion of 4.0 in p 2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.370 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.370 * [taylor]: Taking taylor expansion of p in p 2.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.373 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.373 * [taylor]: Taking taylor expansion of x in p 2.373 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.373 * [taylor]: Taking taylor expansion of 4.0 in p 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.373 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.373 * [taylor]: Taking taylor expansion of p in p 2.376 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.376 * [taylor]: Taking taylor expansion of 4.0 in x 2.377 * [taylor]: Taking taylor expansion of 0 in x 2.380 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.380 * [taylor]: Taking taylor expansion of 1/2 in x 2.380 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.380 * [taylor]: Taking taylor expansion of x in x 2.380 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.380 * [taylor]: Taking taylor expansion of 4.0 in x 2.387 * [taylor]: Taking taylor expansion of 0 in x 2.390 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2 1 1) 2.390 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.390 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.390 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.390 * [taylor]: Taking taylor expansion of 4.0 in x 2.390 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.390 * [taylor]: Taking taylor expansion of p in x 2.391 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.391 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.391 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.392 * [taylor]: Taking taylor expansion of x in p 2.392 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.392 * [taylor]: Taking taylor expansion of 4.0 in p 2.392 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.392 * [taylor]: Taking taylor expansion of p in p 2.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.392 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.392 * [taylor]: Taking taylor expansion of x in p 2.392 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.392 * [taylor]: Taking taylor expansion of 4.0 in p 2.392 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.392 * [taylor]: Taking taylor expansion of p in p 2.393 * [taylor]: Taking taylor expansion of x in x 2.393 * [taylor]: Taking taylor expansion of 0 in x 2.395 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.395 * [taylor]: Taking taylor expansion of 2.0 in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.397 * [taylor]: Taking taylor expansion of 0 in x 2.398 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.398 * [taylor]: Taking taylor expansion of x in x 2.399 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.399 * [taylor]: Taking taylor expansion of 4.0 in x 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.399 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.399 * [taylor]: Taking taylor expansion of p in x 2.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.401 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.401 * [taylor]: Taking taylor expansion of x in p 2.401 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.401 * [taylor]: Taking taylor expansion of 4.0 in p 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.401 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.401 * [taylor]: Taking taylor expansion of p in p 2.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.404 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.404 * [taylor]: Taking taylor expansion of x in p 2.404 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.404 * [taylor]: Taking taylor expansion of 4.0 in p 2.404 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.404 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.404 * [taylor]: Taking taylor expansion of p in p 2.408 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.408 * [taylor]: Taking taylor expansion of 4.0 in x 2.408 * [taylor]: Taking taylor expansion of 0 in x 2.411 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.411 * [taylor]: Taking taylor expansion of 1/2 in x 2.411 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.411 * [taylor]: Taking taylor expansion of x in x 2.411 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.411 * [taylor]: Taking taylor expansion of 4.0 in x 2.418 * [taylor]: Taking taylor expansion of 0 in x 2.421 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.422 * [taylor]: Taking taylor expansion of x in x 2.422 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.422 * [taylor]: Taking taylor expansion of 4.0 in x 2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.422 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.422 * [taylor]: Taking taylor expansion of p in x 2.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.424 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.424 * [taylor]: Taking taylor expansion of x in p 2.424 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.424 * [taylor]: Taking taylor expansion of 4.0 in p 2.424 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.424 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.425 * [taylor]: Taking taylor expansion of p in p 2.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.428 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.428 * [taylor]: Taking taylor expansion of x in p 2.428 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.428 * [taylor]: Taking taylor expansion of 4.0 in p 2.428 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.428 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.428 * [taylor]: Taking taylor expansion of p in p 2.431 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.431 * [taylor]: Taking taylor expansion of 4.0 in x 2.432 * [taylor]: Taking taylor expansion of 0 in x 2.435 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.435 * [taylor]: Taking taylor expansion of 1/2 in x 2.435 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.435 * [taylor]: Taking taylor expansion of x in x 2.435 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.435 * [taylor]: Taking taylor expansion of 4.0 in x 2.442 * [taylor]: Taking taylor expansion of 0 in x 2.445 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2) 2.445 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0 2.445 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x 2.445 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x 2.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x 2.448 * [taylor]: Taking taylor expansion of 4.0 in x 2.448 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.448 * [taylor]: Taking taylor expansion of p in x 2.449 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.449 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.449 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.449 * [taylor]: Taking taylor expansion of x in p 2.449 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.449 * [taylor]: Taking taylor expansion of 4.0 in p 2.449 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.449 * [taylor]: Taking taylor expansion of p in p 2.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p 2.450 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p 2.450 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.450 * [taylor]: Taking taylor expansion of x in p 2.450 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p 2.450 * [taylor]: Taking taylor expansion of 4.0 in p 2.450 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.450 * [taylor]: Taking taylor expansion of p in p 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of 0 in x 2.453 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 2.453 * [taylor]: Taking taylor expansion of 2.0 in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.455 * [taylor]: Taking taylor expansion of 0 in x 2.456 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.456 * [taylor]: Taking taylor expansion of x in x 2.457 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.457 * [taylor]: Taking taylor expansion of 4.0 in x 2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.457 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.457 * [taylor]: Taking taylor expansion of p in x 2.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.459 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.459 * [taylor]: Taking taylor expansion of x in p 2.459 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.459 * [taylor]: Taking taylor expansion of 4.0 in p 2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.459 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.459 * [taylor]: Taking taylor expansion of p in p 2.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.462 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.462 * [taylor]: Taking taylor expansion of x in p 2.462 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.462 * [taylor]: Taking taylor expansion of 4.0 in p 2.462 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.462 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.462 * [taylor]: Taking taylor expansion of p in p 2.465 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.465 * [taylor]: Taking taylor expansion of 4.0 in x 2.466 * [taylor]: Taking taylor expansion of 0 in x 2.469 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.469 * [taylor]: Taking taylor expansion of 1/2 in x 2.469 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.469 * [taylor]: Taking taylor expansion of 4.0 in x 2.476 * [taylor]: Taking taylor expansion of 0 in x 2.479 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in (p x) around 0 2.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in x 2.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in x 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.480 * [taylor]: Taking taylor expansion of x in x 2.480 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x 2.480 * [taylor]: Taking taylor expansion of 4.0 in x 2.480 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.480 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.480 * [taylor]: Taking taylor expansion of p in x 2.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.482 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.482 * [taylor]: Taking taylor expansion of x in p 2.482 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.482 * [taylor]: Taking taylor expansion of 4.0 in p 2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.482 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.482 * [taylor]: Taking taylor expansion of p in p 2.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2))))) in p 2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow p 2)))) in p 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.486 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.486 * [taylor]: Taking taylor expansion of x in p 2.486 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p 2.486 * [taylor]: Taking taylor expansion of 4.0 in p 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.486 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.486 * [taylor]: Taking taylor expansion of p in p 2.489 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.489 * [taylor]: Taking taylor expansion of 4.0 in x 2.490 * [taylor]: Taking taylor expansion of 0 in x 2.493 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x 2.493 * [taylor]: Taking taylor expansion of 1/2 in x 2.493 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x 2.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.493 * [taylor]: Taking taylor expansion of x in x 2.493 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x 2.493 * [taylor]: Taking taylor expansion of 4.0 in x 2.499 * [taylor]: Taking taylor expansion of 0 in x 2.503 * * * [progress]: simplifying candidates 2.507 * [simplify]: Simplifying using # : (expm1 (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log1p (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (exp 1.0) (exp (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (* (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (sqrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (+ (pow 1.0 3) (pow (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) 3)) (+ (* 1.0 1.0) (- (* (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (- (* 1.0 1.0) (* (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (- 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (expm1 (sqrt (+ (* (* 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 (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log1p (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (+ (* (* 4.0 p) p) (* x x)) (+ (* (* 4.0 p) p) (* x x))) (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (* (+ (* (* 4.0 p) p) (* x x)) (+ (* (* 4.0 p) p) (* x x))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (log (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (log (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (exp (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (cbrt (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (* (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (sqrt (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (sqrt (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)))) (sqrt (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))))) (* (sqrt (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x)))))) (sqrt (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))))) (* (sqrt (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)))) (sqrt (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))))) (* (sqrt (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x)))))) (sqrt (sqrt (- (* (* 4.0 p) p) (* x x))))) (* (sqrt (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) (sqrt (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))))) (* (sqrt (sqrt (- (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))))) (* (sqrt (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))) (sqrt (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))))) (* (sqrt (sqrt (- (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (- (* (* 4.0 p) p) (* x x))))) (* (* (cbrt (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (* (cbrt (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))) (* (cbrt (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (sqrt (sqrt (+ 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iteration 0 : 305 enodes (cost 1424 ) 2.522 * * [simplify]: iteration 1 : 1151 enodes (cost 1313 ) 2.549 * * [simplify]: iteration 2 : 5001 enodes (cost 1274 ) 2.555 * [simplify]: Simplified to: (expm1 (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log1p (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (log (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (exp (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (* (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))))) (cbrt (+ 1.0 (/ x (* (sqrt (sqrt (+ (* 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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))) 2.556 * * * [progress]: adding candidates to table 2.923 * [progress]: [Phase 3 of 3] Extracting. 2.923 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.930 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 4.0 p) p) x p) 2.930 * * * * [regimes]: Trying to branch on (* (* 4.0 p) p) from (# # # # # # # # # # #) 2.976 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 3.024 * * * * [regimes]: Trying to branch on p from (# # # # # # # # # # #) 3.074 * * * [regime]: Found split indices: #