17.165 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.037 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (- (* h1 h1) (* h2 h2)))) 0.039 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.041 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.042 * * [simplify]: iteration 2 : 36 enodes (cost 5 ) 0.043 * * [simplify]: iteration 3 : 62 enodes (cost 5 ) 0.045 * * [simplify]: iteration 4 : 133 enodes (cost 5 ) 0.047 * * [simplify]: iteration 5 : 211 enodes (cost 5 ) 0.051 * * [simplify]: iteration 6 : 397 enodes (cost 5 ) 0.059 * * [simplify]: iteration 7 : 1798 enodes (cost 5 ) 0.111 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.111 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.111 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.113 * * * * [pick]: Picked # 0.113 * * * [progress]: localizing error 0.120 * * * [progress]: generating rewritten candidates 0.120 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.129 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.138 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.169 * * * [progress]: generating series expansions 0.170 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.170 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.170 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.170 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.170 * [taylor]: Taking taylor expansion of y in z 0.170 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.170 * [taylor]: Taking taylor expansion of z in z 0.171 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.171 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.171 * [taylor]: Taking taylor expansion of z in y 0.171 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.172 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.172 * [taylor]: Taking taylor expansion of z in y 0.172 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.172 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.172 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.172 * [taylor]: Taking taylor expansion of z in z 0.174 * [taylor]: Taking taylor expansion of 0 in z 0.176 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.176 * [taylor]: Taking taylor expansion of 1/2 in z 0.176 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.176 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.176 * [taylor]: Taking taylor expansion of z in z 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.182 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.182 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.182 * [taylor]: Taking taylor expansion of y in z 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.183 * [taylor]: Taking taylor expansion of z in z 0.185 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.185 * [taylor]: Taking taylor expansion of z in y 0.187 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.188 * [taylor]: Taking taylor expansion of z in y 0.189 * [taylor]: Taking taylor expansion of 1 in z 0.189 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.191 * [taylor]: Taking taylor expansion of -1/2 in z 0.191 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.191 * [taylor]: Taking taylor expansion of z in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.195 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.195 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.195 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.196 * [taylor]: Taking taylor expansion of y in z 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.196 * [taylor]: Taking taylor expansion of z in z 0.198 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.198 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.199 * [taylor]: Taking taylor expansion of z in y 0.200 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.201 * [taylor]: Taking taylor expansion of z in y 0.203 * [taylor]: Taking taylor expansion of 1 in z 0.203 * [taylor]: Taking taylor expansion of 0 in z 0.204 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.204 * [taylor]: Taking taylor expansion of -1/2 in z 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.204 * [taylor]: Taking taylor expansion of z in z 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.208 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.209 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.209 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.209 * [taylor]: Taking taylor expansion of y in z 0.209 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.209 * [taylor]: Taking taylor expansion of z in z 0.209 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.209 * [taylor]: Taking taylor expansion of z in y 0.209 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.209 * [taylor]: Taking taylor expansion of z in y 0.209 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.209 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.209 * [taylor]: Taking taylor expansion of z in z 0.210 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [taylor]: Taking taylor expansion of 1 in z 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.214 * [taylor]: Taking taylor expansion of y in z 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.215 * [taylor]: Taking taylor expansion of z in z 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.216 * [taylor]: Taking taylor expansion of z in y 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.216 * [taylor]: Taking taylor expansion of z in y 0.217 * [taylor]: Taking taylor expansion of 1 in z 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.219 * [taylor]: Taking taylor expansion of z in z 0.221 * [taylor]: Taking taylor expansion of 0 in z 0.223 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.225 * [taylor]: Taking taylor expansion of y in z 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.225 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.225 * [taylor]: Taking taylor expansion of z in z 0.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.226 * [taylor]: Taking taylor expansion of z in y 0.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.227 * [taylor]: Taking taylor expansion of z in y 0.227 * [taylor]: Taking taylor expansion of 1 in z 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.229 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.229 * [taylor]: Taking taylor expansion of z in z 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.238 * [taylor]: Taking taylor expansion of 0 in z 0.239 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.240 * [approximate]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in (x y z) around 0 0.240 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in z 0.240 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.240 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.240 * [taylor]: Taking taylor expansion of y in z 0.240 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.240 * [taylor]: Taking taylor expansion of z in z 0.240 * [taylor]: Taking taylor expansion of x in z 0.240 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in y 0.240 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.240 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.240 * [taylor]: Taking taylor expansion of z in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.241 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.241 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.241 * [taylor]: Taking taylor expansion of z in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.242 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.242 * [taylor]: Taking taylor expansion of z in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in z 0.244 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.244 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.244 * [taylor]: Taking taylor expansion of z in y 0.245 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.245 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.245 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.245 * [taylor]: Taking taylor expansion of z in z 0.246 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.249 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in (x y z) around 0 0.249 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.249 * [taylor]: Taking taylor expansion of x in z 0.249 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.249 * [taylor]: Taking taylor expansion of y in z 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.249 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.249 * [taylor]: Taking taylor expansion of z in z 0.252 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.252 * [taylor]: Taking taylor expansion of z in y 0.254 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.255 * [taylor]: Taking taylor expansion of z in x 0.256 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.257 * [taylor]: Taking taylor expansion of z in x 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.259 * [taylor]: Taking taylor expansion of z in y 0.260 * [taylor]: Taking taylor expansion of 1 in z 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in z 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 0 in z 0.266 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.266 * [taylor]: Taking taylor expansion of -1/2 in z 0.266 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.266 * [taylor]: Taking taylor expansion of z in z 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in z 0.271 * [taylor]: Taking taylor expansion of 0 in z 0.273 * [taylor]: Taking taylor expansion of 0 in z 0.274 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in (x y z) around 0 0.274 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in z 0.274 * [taylor]: Taking taylor expansion of -1 in z 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.274 * [taylor]: Taking taylor expansion of x in z 0.274 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.274 * [taylor]: Taking taylor expansion of y in z 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.274 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.274 * [taylor]: Taking taylor expansion of z in z 0.277 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in y 0.277 * [taylor]: Taking taylor expansion of -1 in y 0.277 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.277 * [taylor]: Taking taylor expansion of z in y 0.279 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.279 * [taylor]: Taking taylor expansion of -1 in x 0.279 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.279 * [taylor]: Taking taylor expansion of z in x 0.281 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.281 * [taylor]: Taking taylor expansion of -1 in x 0.281 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.281 * [taylor]: Taking taylor expansion of z in x 0.283 * [taylor]: Taking taylor expansion of (* -1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.283 * [taylor]: Taking taylor expansion of -1 in y 0.283 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.284 * [taylor]: Taking taylor expansion of z in y 0.285 * [taylor]: Taking taylor expansion of -1 in z 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in z 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [taylor]: Taking taylor expansion of 0 in z 0.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.293 * [taylor]: Taking taylor expansion of 1/2 in z 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.293 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.293 * [taylor]: Taking taylor expansion of z in z 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of 0 in z 0.299 * [taylor]: Taking taylor expansion of 0 in z 0.301 * [taylor]: Taking taylor expansion of 0 in z 0.302 * * * [progress]: simplifying candidates 0.303 * [simplify]: Simplifying using # : (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (- (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (* x (sqrt (- (* y y) (* z z)))) (+ (log x) (log (sqrt (- (* y y) (* z z))))) (log (* x (sqrt (- (* y y) (* z z))))) (exp (* x (sqrt (- (* y y) (* z z))))) (* (* (* x x) x) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))))) (* (cbrt (* x (sqrt (- (* y y) (* z z))))) (cbrt (* x (sqrt (- (* y y) (* z z)))))) (cbrt (* x (sqrt (- (* y y) (* z z))))) (* (* (* x (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (* y y) (* z z))))) (* x (sqrt (- (* y y) (* z z))))) (sqrt (* x (sqrt (- (* y y) (* z z))))) (sqrt (* x (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* x (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z)))))) (* x (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))) (* x (sqrt (sqrt (- (* y y) (* z z))))) (* x (sqrt 1)) (* x (sqrt (+ y z))) (* x (sqrt (sqrt (- (* y y) (* z z))))) (* x 1) (* (cbrt x) (sqrt (- (* y y) (* z z)))) (* (sqrt x) (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (pow (* y y) 3) (pow (* z z) 3)))) (* x (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z))))) (* z (sqrt -1)) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0 (* x y) (* -1 (* x y)) 0.304 * [simplify]: Sending expressions to egg_math: (log (sqrt (- (* h0 h0) (* h1 h1)))) (exp (sqrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (cbrt (sqrt (- (* h0 h0) (* h1 h1))))) (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (* (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1)) (sqrt (- h0 h1)) (sqrt (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (* h2 (sqrt (- (* h0 h0) (* h1 h1)))) (+ (log h2) (log (sqrt (- (* h0 h0) (* h1 h1))))) (log (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (exp (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (* (* (* h2 h2) h2) (* (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))))) (* (cbrt (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (cbrt (* h2 (sqrt (- (* h0 h0) (* h1 h1)))))) (cbrt (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (* (* (* h2 (sqrt (- (* h0 h0) (* h1 h1)))) (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (sqrt (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (sqrt (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* h2 (* (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (cbrt (sqrt (- (* h0 h0) (* h1 h1)))))) (* h2 (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))))) (* h2 (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* h2 (sqrt 1)) (* h2 (sqrt (+ h0 h1))) (* h2 (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* h2 1) (* (cbrt h2) (sqrt (- (* h0 h0) (* h1 h1)))) (* (sqrt h2) (sqrt (- (* h0 h0) (* h1 h1)))) (* h2 (sqrt (- (* h0 h0) (* h1 h1)))) (* h2 (sqrt (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (* h2 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (* h1 (sqrt -1)) h0 (* -1 h0) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0 (* h2 h0) (* -1 (* h2 h0)) 0.307 * * [simplify]: iteration 0 : 187 enodes (cost 364 ) 0.311 * * [simplify]: iteration 1 : 732 enodes (cost 340 ) 0.324 * * [simplify]: iteration 2 : 3010 enodes (cost 337 ) 0.372 * * [simplify]: iteration 3 : 5002 enodes (cost 337 ) 0.374 * [simplify]: Simplified to: (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (pow (sqrt (- (* y y) (* z z))) 3) (fabs (cbrt (- (* y y) (* z z)))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) 1 (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) 1/2 (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (exp (- (* y y) (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (pow (- (* y y) (* z z)) 3) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (+ (pow y 4) (* (* y y) (* z z))) (pow z 4)) (- (* z z)) (+ (* (- (pow z 3)) z) (pow y 4)) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (* x (sqrt (- (* y y) (* z z)))) (log (* x (sqrt (- (* y y) (* z z))))) (log (* x (sqrt (- (* y y) (* z z))))) (exp (* x (sqrt (- (* y y) (* z z))))) (pow (* x (sqrt (- (* y y) (* z z)))) 3) (* (cbrt (* x (sqrt (- (* y y) (* z z))))) (cbrt (* x (sqrt (- (* y y) (* z z)))))) (cbrt (* x (sqrt (- (* y y) (* z z))))) (pow (* x (sqrt (- (* y y) (* z z)))) 3) (sqrt (* x (sqrt (- (* y y) (* z z))))) (sqrt (* x (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* x (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z)))))) (* (fabs (cbrt (- (* y y) (* z z)))) x) (* x (sqrt (sqrt (- (* y y) (* z z))))) x (* x (sqrt (+ y z))) (* x (sqrt (sqrt (- (* y y) (* z z))))) x (* (cbrt x) (sqrt (- (* y y) (* z z)))) (* (sqrt x) (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (pow (* y y) 3) (pow (* z z) 3)))) (* x (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z))))) (* z (sqrt -1)) y (* -1 y) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) 0 (* x y) (* -1 (* x y)) 0.374 * * * [progress]: adding candidates to table 0.516 * * [progress]: iteration 2 / 4 0.516 * * * [progress]: picking best candidate 0.522 * * * * [pick]: Picked # 0.522 * * * [progress]: localizing error 0.532 * * * [progress]: generating rewritten candidates 0.532 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.541 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.551 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.561 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 0.571 * * * [progress]: generating series expansions 0.571 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.571 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.571 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.571 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.571 * [taylor]: Taking taylor expansion of y in z 0.571 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.571 * [taylor]: Taking taylor expansion of z in z 0.572 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.572 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.572 * [taylor]: Taking taylor expansion of z in y 0.573 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.573 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.573 * [taylor]: Taking taylor expansion of z in y 0.574 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.574 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.574 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.574 * [taylor]: Taking taylor expansion of z in z 0.576 * [taylor]: Taking taylor expansion of 0 in z 0.577 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.578 * [taylor]: Taking taylor expansion of 1/2 in z 0.578 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.578 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.578 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.578 * [taylor]: Taking taylor expansion of z in z 0.582 * [taylor]: Taking taylor expansion of 0 in z 0.584 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.584 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.584 * [taylor]: Taking taylor expansion of y in z 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.584 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.584 * [taylor]: Taking taylor expansion of z in z 0.587 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.587 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.587 * [taylor]: Taking taylor expansion of z in y 0.589 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.590 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.590 * [taylor]: Taking taylor expansion of z in y 0.591 * [taylor]: Taking taylor expansion of 1 in z 0.592 * [taylor]: Taking taylor expansion of 0 in z 0.593 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.593 * [taylor]: Taking taylor expansion of -1/2 in z 0.593 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.593 * [taylor]: Taking taylor expansion of z in z 0.597 * [taylor]: Taking taylor expansion of 0 in z 0.598 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.598 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.598 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.598 * [taylor]: Taking taylor expansion of y in z 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.598 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.598 * [taylor]: Taking taylor expansion of z in z 0.601 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.601 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.601 * [taylor]: Taking taylor expansion of z in y 0.603 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.603 * [taylor]: Taking taylor expansion of z in y 0.605 * [taylor]: Taking taylor expansion of 1 in z 0.605 * [taylor]: Taking taylor expansion of 0 in z 0.607 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.607 * [taylor]: Taking taylor expansion of -1/2 in z 0.607 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.607 * [taylor]: Taking taylor expansion of z in z 0.610 * [taylor]: Taking taylor expansion of 0 in z 0.611 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.611 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.611 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.611 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.611 * [taylor]: Taking taylor expansion of y in z 0.611 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.611 * [taylor]: Taking taylor expansion of z in z 0.612 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.612 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.612 * [taylor]: Taking taylor expansion of z in y 0.613 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.613 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.613 * [taylor]: Taking taylor expansion of z in y 0.614 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.614 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.614 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.614 * [taylor]: Taking taylor expansion of z in z 0.615 * [taylor]: Taking taylor expansion of 0 in z 0.617 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.617 * [taylor]: Taking taylor expansion of 1/2 in z 0.617 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.617 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.617 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.617 * [taylor]: Taking taylor expansion of z in z 0.621 * [taylor]: Taking taylor expansion of 0 in z 0.624 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.624 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.624 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.624 * [taylor]: Taking taylor expansion of y in z 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.624 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.624 * [taylor]: Taking taylor expansion of z in z 0.626 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.627 * [taylor]: Taking taylor expansion of z in y 0.629 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.629 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.629 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.629 * [taylor]: Taking taylor expansion of z in y 0.631 * [taylor]: Taking taylor expansion of 1 in z 0.631 * [taylor]: Taking taylor expansion of 0 in z 0.633 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.633 * [taylor]: Taking taylor expansion of -1/2 in z 0.633 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.633 * [taylor]: Taking taylor expansion of z in z 0.636 * [taylor]: Taking taylor expansion of 0 in z 0.637 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.637 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.638 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.638 * [taylor]: Taking taylor expansion of y in z 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.638 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.638 * [taylor]: Taking taylor expansion of z in z 0.640 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.640 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.641 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.641 * [taylor]: Taking taylor expansion of z in y 0.647 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.647 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.648 * [taylor]: Taking taylor expansion of z in y 0.650 * [taylor]: Taking taylor expansion of 1 in z 0.650 * [taylor]: Taking taylor expansion of 0 in z 0.652 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.652 * [taylor]: Taking taylor expansion of -1/2 in z 0.652 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.652 * [taylor]: Taking taylor expansion of z in z 0.655 * [taylor]: Taking taylor expansion of 0 in z 0.656 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.656 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.656 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.656 * [taylor]: Taking taylor expansion of y in z 0.656 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.656 * [taylor]: Taking taylor expansion of z in z 0.656 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.656 * [taylor]: Taking taylor expansion of z in y 0.656 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.656 * [taylor]: Taking taylor expansion of z in y 0.656 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.656 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.656 * [taylor]: Taking taylor expansion of z in z 0.657 * [taylor]: Taking taylor expansion of 0 in z 0.658 * [taylor]: Taking taylor expansion of 1 in z 0.659 * [taylor]: Taking taylor expansion of 0 in z 0.661 * [taylor]: Taking taylor expansion of 0 in z 0.662 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.662 * [taylor]: Taking taylor expansion of y in z 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.662 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.662 * [taylor]: Taking taylor expansion of z in z 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.663 * [taylor]: Taking taylor expansion of z in y 0.663 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.663 * [taylor]: Taking taylor expansion of z in y 0.664 * [taylor]: Taking taylor expansion of 1 in z 0.665 * [taylor]: Taking taylor expansion of 0 in z 0.666 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.666 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.666 * [taylor]: Taking taylor expansion of z in z 0.668 * [taylor]: Taking taylor expansion of 0 in z 0.671 * [taylor]: Taking taylor expansion of 0 in z 0.672 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.672 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.672 * [taylor]: Taking taylor expansion of y in z 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.673 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.673 * [taylor]: Taking taylor expansion of z in z 0.673 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.674 * [taylor]: Taking taylor expansion of z in y 0.674 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.674 * [taylor]: Taking taylor expansion of z in y 0.675 * [taylor]: Taking taylor expansion of 1 in z 0.675 * [taylor]: Taking taylor expansion of 0 in z 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.677 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.677 * [taylor]: Taking taylor expansion of z in z 0.679 * [taylor]: Taking taylor expansion of 0 in z 0.682 * [taylor]: Taking taylor expansion of 0 in z 0.683 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 0.683 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.683 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.683 * [taylor]: Taking taylor expansion of y in z 0.683 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.683 * [taylor]: Taking taylor expansion of z in z 0.683 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.683 * [taylor]: Taking taylor expansion of z in y 0.684 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.684 * [taylor]: Taking taylor expansion of z in y 0.684 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.684 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.684 * [taylor]: Taking taylor expansion of z in z 0.684 * [taylor]: Taking taylor expansion of 0 in z 0.685 * [taylor]: Taking taylor expansion of 1 in z 0.687 * [taylor]: Taking taylor expansion of 0 in z 0.689 * [taylor]: Taking taylor expansion of 0 in z 0.689 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.689 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.689 * [taylor]: Taking taylor expansion of y in z 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.689 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.689 * [taylor]: Taking taylor expansion of z in z 0.690 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.690 * [taylor]: Taking taylor expansion of z in y 0.691 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.691 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.691 * [taylor]: Taking taylor expansion of z in y 0.691 * [taylor]: Taking taylor expansion of 1 in z 0.692 * [taylor]: Taking taylor expansion of 0 in z 0.693 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.693 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.693 * [taylor]: Taking taylor expansion of z in z 0.696 * [taylor]: Taking taylor expansion of 0 in z 0.698 * [taylor]: Taking taylor expansion of 0 in z 0.700 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.700 * [taylor]: Taking taylor expansion of y in z 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.700 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.700 * [taylor]: Taking taylor expansion of z in z 0.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.701 * [taylor]: Taking taylor expansion of z in y 0.701 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.702 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.702 * [taylor]: Taking taylor expansion of z in y 0.702 * [taylor]: Taking taylor expansion of 1 in z 0.703 * [taylor]: Taking taylor expansion of 0 in z 0.704 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.704 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.704 * [taylor]: Taking taylor expansion of z in z 0.706 * [taylor]: Taking taylor expansion of 0 in z 0.709 * [taylor]: Taking taylor expansion of 0 in z 0.710 * * * [progress]: simplifying candidates 0.711 * [simplify]: Simplifying using # : (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (- (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (- (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (* z (sqrt -1)) y (* -1 y) (* z (sqrt -1)) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0.711 * [simplify]: Sending expressions to egg_math: (log (sqrt (- (* h0 h0) (* h1 h1)))) (exp (sqrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (cbrt (sqrt (- (* h0 h0) (* h1 h1))))) (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (* (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1)) (sqrt (- h0 h1)) (sqrt (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (log (sqrt (- (* h0 h0) (* h1 h1)))) (exp (sqrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (cbrt (sqrt (- (* h0 h0) (* h1 h1))))) (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (* (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1)) (sqrt (- h0 h1)) (sqrt (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (* h1 (sqrt -1)) h0 (* -1 h0) (* h1 (sqrt -1)) h0 (* -1 h0) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.715 * * [simplify]: iteration 0 : 122 enodes (cost 378 ) 0.718 * * [simplify]: iteration 1 : 432 enodes (cost 350 ) 0.725 * * [simplify]: iteration 2 : 1459 enodes (cost 350 ) 0.755 * * [simplify]: iteration 3 : 5001 enodes (cost 348 ) 0.757 * [simplify]: Simplified to: (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (pow (sqrt (- (* y y) (* z z))) 3) (fabs (cbrt (- (* y y) (* z z)))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) 1 (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) 1/2 (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (pow (sqrt (- (* y y) (* z z))) 3) (fabs (cbrt (- (* y y) (* z z)))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) 1 (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) 1/2 (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (exp (- (* y y) (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (pow (- (* y y) (* z z)) 3) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (+ (pow y 4) (* (* y y) (* z z))) (pow z 4)) (- (* z z)) (+ (* (- (pow z 3)) z) (pow y 4)) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (exp (- (* y y) (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (pow (- (* y y) (* z z)) 3) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (+ (pow y 4) (* (* y y) (* z z))) (pow z 4)) (- (* z z)) (+ (* (- (pow z 3)) z) (pow y 4)) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (* z (sqrt -1)) y (* -1 y) (* z (sqrt -1)) y (* -1 y) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) 0.758 * * * [progress]: adding candidates to table 0.969 * * [progress]: iteration 3 / 4 0.969 * * * [progress]: picking best candidate 0.973 * * * * [pick]: Picked # 0.974 * * * [progress]: localizing error 0.977 * * * [progress]: generating rewritten candidates 0.977 * * * [progress]: generating series expansions 0.977 * * * [progress]: simplifying candidates 0.977 * [simplify]: Simplifying using # : 0.977 * [simplify]: Sending expressions to egg_math: 0.980 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.980 * [simplify]: Simplified to: 0.980 * * * [progress]: adding candidates to table 0.980 * * [progress]: iteration 4 / 4 0.980 * * * [progress]: picking best candidate 0.983 * * * * [pick]: Picked # 0.983 * * * [progress]: localizing error 0.985 * * * [progress]: generating rewritten candidates 0.985 * * * [progress]: generating series expansions 0.985 * * * [progress]: simplifying candidates 0.986 * [simplify]: Simplifying using # : 0.986 * [simplify]: Sending expressions to egg_math: 0.988 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.988 * [simplify]: Simplified to: 0.988 * * * [progress]: adding candidates to table 0.988 * [progress]: [Phase 3 of 3] Extracting. 0.988 * * [regime]: Finding splitpoints for: (# # # # #) 0.989 * * * [regime-changes]: Trying 8 branch expressions: ((* z z) (* y y) (- (* y y) (* z z)) (sqrt (- (* y y) (* z z))) (* x (sqrt (- (* y y) (* z z)))) z y x) 0.989 * * * * [regimes]: Trying to branch on (* z z) from (# # # # #) 1.009 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.038 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.052 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # # # #) 1.079 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# #) 1.094 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # # # #) 1.127 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# #) 1.144 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # # # #) 1.184 * * * * [regimes]: Trying to branch on z from (# # # # #) 1.245 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.272 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.322 * * * [regime]: Found split indices: #