16.401 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.042 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.044 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.047 * * [simplify]: iteration 2 : 39 enodes (cost 5 ) 0.050 * * [simplify]: iteration 3 : 71 enodes (cost 5 ) 0.053 * * [simplify]: iteration 4 : 167 enodes (cost 5 ) 0.057 * * [simplify]: iteration 5 : 298 enodes (cost 5 ) 0.063 * * [simplify]: iteration 6 : 545 enodes (cost 5 ) 0.078 * * [simplify]: iteration 7 : 2142 enodes (cost 5 ) 0.145 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.146 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.146 * * [progress]: iteration 1 / 4 0.146 * * * [progress]: picking best candidate 0.148 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.156 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.161 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.165 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.175 * * * [progress]: generating series expansions 0.175 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.175 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.175 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.175 * [taylor]: Taking taylor expansion of y in z 0.175 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.175 * [taylor]: Taking taylor expansion of z in z 0.176 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.176 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.176 * [taylor]: Taking taylor expansion of z in y 0.177 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.177 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.177 * [taylor]: Taking taylor expansion of z in y 0.178 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.178 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.178 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.179 * [taylor]: Taking taylor expansion of z in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.183 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.183 * [taylor]: Taking taylor expansion of 1/2 in z 0.183 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.183 * [taylor]: Taking taylor expansion of (- (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 0.189 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.192 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.192 * [taylor]: Taking taylor expansion of y in z 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.192 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.192 * [taylor]: Taking taylor expansion of z in z 0.195 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.195 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.196 * [taylor]: Taking taylor expansion of z in y 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 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.198 * [taylor]: Taking taylor expansion of z in y 0.201 * [taylor]: Taking taylor expansion of 1 in z 0.201 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.203 * [taylor]: Taking taylor expansion of -1/2 in z 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.203 * [taylor]: Taking taylor expansion of z in z 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.209 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.209 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 (/ 1 (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 0.212 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.212 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.213 * [taylor]: Taking taylor expansion of z in y 0.215 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 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 0.216 * [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 0.218 * [taylor]: Taking taylor expansion of 1 in z 0.218 * [taylor]: Taking taylor expansion of 0 in z 0.226 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.226 * [taylor]: Taking taylor expansion of -1/2 in z 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.226 * [taylor]: Taking taylor expansion of z in z 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.231 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.231 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.232 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.232 * [taylor]: Taking taylor expansion of y in z 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.232 * [taylor]: Taking taylor expansion of z in z 0.232 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.232 * [taylor]: Taking taylor expansion of z in y 0.232 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.232 * [taylor]: Taking taylor expansion of z in y 0.232 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.232 * [taylor]: Taking taylor expansion of z in z 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [taylor]: Taking taylor expansion of 1 in z 0.236 * [taylor]: Taking taylor expansion of 0 in z 0.238 * [taylor]: Taking taylor expansion of 0 in z 0.239 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.239 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.239 * [taylor]: Taking taylor expansion of y in z 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.239 * [taylor]: Taking taylor expansion of z in z 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 (/ 1 (pow z 2)) 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 (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.241 * [taylor]: Taking taylor expansion of z in y 0.242 * [taylor]: Taking taylor expansion of 1 in z 0.243 * [taylor]: Taking taylor expansion of 0 in z 0.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.244 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.244 * [taylor]: Taking taylor expansion of z in z 0.247 * [taylor]: Taking taylor expansion of 0 in z 0.250 * [taylor]: Taking taylor expansion of 0 in z 0.252 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.252 * [taylor]: Taking taylor expansion of y in z 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.253 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.253 * [taylor]: Taking taylor expansion of z in z 0.253 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.254 * [taylor]: Taking taylor expansion of z in y 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.255 * [taylor]: Taking taylor expansion of z in y 0.255 * [taylor]: Taking taylor expansion of 1 in z 0.256 * [taylor]: Taking taylor expansion of 0 in z 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.258 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.258 * [taylor]: Taking taylor expansion of z in z 0.261 * [taylor]: Taking taylor expansion of 0 in z 0.264 * [taylor]: Taking taylor expansion of 0 in z 0.266 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.266 * [approximate]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in (x y z) around 0 0.266 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in z 0.266 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.266 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.266 * [taylor]: Taking taylor expansion of y in z 0.266 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.266 * [taylor]: Taking taylor expansion of z in z 0.267 * [taylor]: Taking taylor expansion of x in z 0.267 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in y 0.267 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.267 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.267 * [taylor]: Taking taylor expansion of z in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.268 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.268 * [taylor]: Taking taylor expansion of z in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.269 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.269 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.269 * [taylor]: Taking taylor expansion of z in x 0.270 * [taylor]: Taking taylor expansion of x in x 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 (sqrt (- (pow y 2) (pow z 2))) in y 0.271 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.271 * [taylor]: Taking taylor expansion of z in y 0.272 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.272 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.272 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.272 * [taylor]: Taking taylor expansion of z in z 0.275 * [taylor]: Taking taylor expansion of 0 in z 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in z 0.277 * [taylor]: Taking taylor expansion of 0 in z 0.277 * [taylor]: Taking taylor expansion of 0 in z 0.277 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in (x y z) around 0 0.277 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.278 * [taylor]: Taking taylor expansion of x in z 0.278 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.278 * [taylor]: Taking taylor expansion of y in z 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.278 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.278 * [taylor]: Taking taylor expansion of z in z 0.281 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.282 * [taylor]: Taking taylor expansion of z in y 0.284 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.285 * [taylor]: Taking taylor expansion of z in x 0.286 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.287 * [taylor]: Taking taylor expansion of z in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.289 * [taylor]: Taking taylor expansion of z in y 0.292 * [taylor]: Taking taylor expansion of 1 in z 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in z 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in z 0.299 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.299 * [taylor]: Taking taylor expansion of -1/2 in z 0.299 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.299 * [taylor]: Taking taylor expansion of z in z 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [taylor]: Taking taylor expansion of 0 in z 0.305 * [taylor]: Taking taylor expansion of 0 in z 0.307 * [taylor]: Taking taylor expansion of 0 in z 0.309 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in (x y z) around 0 0.309 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in z 0.309 * [taylor]: Taking taylor expansion of -1 in z 0.309 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.309 * [taylor]: Taking taylor expansion of x in z 0.309 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.309 * [taylor]: Taking taylor expansion of y in z 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.309 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.309 * [taylor]: Taking taylor expansion of z in z 0.312 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in y 0.312 * [taylor]: Taking taylor expansion of -1 in y 0.312 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.313 * [taylor]: Taking taylor expansion of z in y 0.315 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.315 * [taylor]: Taking taylor expansion of -1 in x 0.315 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.316 * [taylor]: Taking taylor expansion of z in x 0.318 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.318 * [taylor]: Taking taylor expansion of z in x 0.320 * [taylor]: Taking taylor expansion of (* -1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.320 * [taylor]: Taking taylor expansion of -1 in y 0.320 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.320 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.321 * [taylor]: Taking taylor expansion of z in y 0.330 * [taylor]: Taking taylor expansion of -1 in z 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in z 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in z 0.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.339 * [taylor]: Taking taylor expansion of 1/2 in z 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.339 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.339 * [taylor]: Taking taylor expansion of z in z 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in z 0.347 * [taylor]: Taking taylor expansion of 0 in z 0.350 * [taylor]: Taking taylor expansion of 0 in z 0.352 * * * [progress]: simplifying candidates 0.353 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* y y) (* z z)))) (log1p (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)))) (fma y y (- (* z z))) (fma (- z) z (* z z)) (expm1 (- (* y y) (* z z))) (log1p (- (* y y) (* z 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)) (expm1 (* x (sqrt (- (* y y) (* z z))))) (log1p (* x (sqrt (- (* y y) (* 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)) 0.360 * * [simplify]: iteration 0 : 202 enodes (cost 397 ) 0.366 * * [simplify]: iteration 1 : 786 enodes (cost 374 ) 0.385 * * [simplify]: iteration 2 : 3192 enodes (cost 368 ) 0.448 * * [simplify]: iteration 3 : 5001 enodes (cost 364 ) 0.451 * [simplify]: Simplified to: (expm1 (sqrt (- (* y y) (* z z)))) (log1p (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)))) (hypot y z) 1/2 (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (- (* y y) (* z z)) 0 (expm1 (- (* y y) (* z z))) (log1p (- (* y y) (* z 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))) (fma (- (pow z 5)) z (pow y 6)) (fma z (* z (fma y y (* z z))) (pow y 4)) (- (* z z)) (fma (- (pow z 3)) z (pow y 4)) (fma y y (* z z)) (+ y z) (- y z) (- (* z z)) (expm1 (* x (sqrt (- (* y y) (* z z))))) (log1p (* x (sqrt (- (* y y) (* 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)) 0.452 * * * [progress]: adding candidates to table 0.619 * * [progress]: iteration 2 / 4 0.619 * * * [progress]: picking best candidate 0.624 * * * * [pick]: Picked # 0.624 * * * [progress]: localizing error 0.628 * * * [progress]: generating rewritten candidates 0.628 * * * [progress]: generating series expansions 0.629 * * * [progress]: simplifying candidates 0.629 * [simplify]: Simplifying using # : 0.632 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.632 * [simplify]: Simplified to: 0.632 * * * [progress]: adding candidates to table 0.633 * * [progress]: iteration 3 / 4 0.633 * * * [progress]: picking best candidate 0.637 * * * * [pick]: Picked # 0.637 * * * [progress]: localizing error 0.639 * * * [progress]: generating rewritten candidates 0.639 * * * [progress]: generating series expansions 0.639 * * * [progress]: simplifying candidates 0.640 * [simplify]: Simplifying using # : 0.644 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.644 * [simplify]: Simplified to: 0.644 * * * [progress]: adding candidates to table 0.644 * * [progress]: iteration 4 / 4 0.644 * * * [progress]: picking best candidate 0.647 * * * * [pick]: Picked # 0.647 * * * [progress]: localizing error 0.655 * * * [progress]: generating rewritten candidates 0.655 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.669 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.684 * * * [progress]: generating series expansions 0.684 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.684 * [approximate]: Taking taylor expansion of (* (sqrt (* (+ z y) (- y z))) x) in (x y z) around 0 0.684 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ z y) (- y z))) x) in z 0.684 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in z 0.684 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in z 0.684 * [taylor]: Taking taylor expansion of (+ z y) in z 0.684 * [taylor]: Taking taylor expansion of z in z 0.684 * [taylor]: Taking taylor expansion of y in z 0.684 * [taylor]: Taking taylor expansion of (- y z) in z 0.684 * [taylor]: Taking taylor expansion of y in z 0.684 * [taylor]: Taking taylor expansion of z in z 0.686 * [taylor]: Taking taylor expansion of x in z 0.686 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ z y) (- y z))) x) in y 0.686 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.686 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.686 * [taylor]: Taking taylor expansion of (+ z y) in y 0.686 * [taylor]: Taking taylor expansion of z in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (- y z) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of z in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ z y) (- y z))) x) in x 0.688 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in x 0.688 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in x 0.688 * [taylor]: Taking taylor expansion of (+ z y) in x 0.688 * [taylor]: Taking taylor expansion of z in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (- y z) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of z in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ z y) (- y z))) x) in x 0.689 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in x 0.689 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in x 0.689 * [taylor]: Taking taylor expansion of (+ z y) in x 0.689 * [taylor]: Taking taylor expansion of z in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (- y z) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of z in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of 0 in z 0.691 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.691 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.691 * [taylor]: Taking taylor expansion of (+ z y) in y 0.691 * [taylor]: Taking taylor expansion of z in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (- y z) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of z in y 0.692 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.692 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.692 * [taylor]: Taking taylor expansion of -1 in z 0.692 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.692 * [taylor]: Taking taylor expansion of z in z 0.695 * [taylor]: Taking taylor expansion of 0 in z 0.697 * [taylor]: Taking taylor expansion of 0 in y 0.697 * [taylor]: Taking taylor expansion of 0 in z 0.697 * [taylor]: Taking taylor expansion of 0 in z 0.697 * [taylor]: Taking taylor expansion of 0 in z 0.697 * [approximate]: Taking taylor expansion of (* (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) (/ 1 x)) in (x y z) around 0 0.697 * [taylor]: Taking taylor expansion of (* (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) (/ 1 x)) in z 0.697 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in z 0.697 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in z 0.697 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in z 0.697 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.697 * [taylor]: Taking taylor expansion of y in z 0.697 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.697 * [taylor]: Taking taylor expansion of z in z 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.698 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.698 * [taylor]: Taking taylor expansion of z in z 0.698 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.698 * [taylor]: Taking taylor expansion of y in z 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.701 * [taylor]: Taking taylor expansion of x in z 0.701 * [taylor]: Taking taylor expansion of (* (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) (/ 1 x)) in y 0.701 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.701 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.701 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.702 * [taylor]: Taking taylor expansion of z in y 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.702 * [taylor]: Taking taylor expansion of z in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.705 * [taylor]: Taking taylor expansion of x in y 0.705 * [taylor]: Taking taylor expansion of (* (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) (/ 1 x)) in x 0.705 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in x 0.705 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in x 0.705 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.705 * [taylor]: Taking taylor expansion of z in x 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.705 * [taylor]: Taking taylor expansion of z in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (* (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) (/ 1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in x 0.707 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in x 0.707 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.707 * [taylor]: Taking taylor expansion of z in x 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.707 * [taylor]: Taking taylor expansion of z in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.709 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.710 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.710 * [taylor]: Taking taylor expansion of z in y 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.710 * [taylor]: Taking taylor expansion of z in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 1 in z 0.714 * [taylor]: Taking taylor expansion of 0 in y 0.714 * [taylor]: Taking taylor expansion of 0 in z 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.717 * [taylor]: Taking taylor expansion of 0 in z 0.721 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.721 * [taylor]: Taking taylor expansion of -1/2 in z 0.721 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.721 * [taylor]: Taking taylor expansion of z in z 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.726 * [taylor]: Taking taylor expansion of 0 in z 0.726 * [taylor]: Taking taylor expansion of 0 in z 0.729 * [taylor]: Taking taylor expansion of 0 in z 0.731 * [approximate]: Taking taylor expansion of (* -1 (* (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) (sqrt (- (/ 1 z) (/ 1 y))))) in (x y z) around 0 0.731 * [taylor]: Taking taylor expansion of (* -1 (* (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) (sqrt (- (/ 1 z) (/ 1 y))))) in z 0.731 * [taylor]: Taking taylor expansion of -1 in z 0.731 * [taylor]: Taking taylor expansion of (* (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) (sqrt (- (/ 1 z) (/ 1 y)))) in z 0.731 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) in z 0.731 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in z 0.731 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in z 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.731 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.731 * [taylor]: Taking taylor expansion of z in z 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.731 * [taylor]: Taking taylor expansion of y in z 0.733 * [taylor]: Taking taylor expansion of x in z 0.734 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in z 0.734 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in z 0.734 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.734 * [taylor]: Taking taylor expansion of z in z 0.734 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.734 * [taylor]: Taking taylor expansion of y in z 0.735 * [taylor]: Taking taylor expansion of (* -1 (* (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) (sqrt (- (/ 1 z) (/ 1 y))))) in y 0.735 * [taylor]: Taking taylor expansion of -1 in y 0.735 * [taylor]: Taking taylor expansion of (* (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) (sqrt (- (/ 1 z) (/ 1 y)))) in y 0.736 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) in y 0.736 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.736 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.736 * [taylor]: Taking taylor expansion of z in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in y 0.738 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.738 * [taylor]: Taking taylor expansion of z in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (* -1 (* (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) (sqrt (- (/ 1 z) (/ 1 y))))) in x 0.740 * [taylor]: Taking taylor expansion of -1 in x 0.740 * [taylor]: Taking taylor expansion of (* (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) (sqrt (- (/ 1 z) (/ 1 y)))) in x 0.740 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) in x 0.740 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in x 0.740 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.740 * [taylor]: Taking taylor expansion of z in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in x 0.741 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.741 * [taylor]: Taking taylor expansion of z in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (* -1 (* (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) (sqrt (- (/ 1 z) (/ 1 y))))) in x 0.742 * [taylor]: Taking taylor expansion of -1 in x 0.742 * [taylor]: Taking taylor expansion of (* (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) (sqrt (- (/ 1 z) (/ 1 y)))) in x 0.742 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) in x 0.742 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in x 0.742 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.742 * [taylor]: Taking taylor expansion of z in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in x 0.744 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.744 * [taylor]: Taking taylor expansion of z in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- (/ 1 z) (/ 1 y))) (sqrt (- (+ (/ 1 y) (/ 1 z)))))) in y 0.745 * [taylor]: Taking taylor expansion of -1 in y 0.745 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 z) (/ 1 y))) (sqrt (- (+ (/ 1 y) (/ 1 z))))) in y 0.745 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in y 0.745 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.745 * [taylor]: Taking taylor expansion of z in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 z)))) in y 0.747 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 z))) in y 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 z)) in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.748 * [taylor]: Taking taylor expansion of z in y 0.750 * [taylor]: Taking taylor expansion of 0 in z 0.752 * [taylor]: Taking taylor expansion of 0 in y 0.757 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.757 * [taylor]: Taking taylor expansion of +nan.0 in z 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [taylor]: Taking taylor expansion of 0 in z 0.767 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.767 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.767 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.767 * [taylor]: Taking taylor expansion of +nan.0 in z 0.767 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.767 * [taylor]: Taking taylor expansion of z in z 0.767 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.767 * [taylor]: Taking taylor expansion of +nan.0 in z 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [taylor]: Taking taylor expansion of 0 in z 0.782 * [taylor]: Taking taylor expansion of 0 in z 0.790 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) in z 0.790 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))) in z 0.790 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.790 * [taylor]: Taking taylor expansion of +nan.0 in z 0.790 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.790 * [taylor]: Taking taylor expansion of z in z 0.790 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))) in z 0.790 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)) in z 0.791 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in z 0.791 * [taylor]: Taking taylor expansion of +nan.0 in z 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.791 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.791 * [taylor]: Taking taylor expansion of z in z 0.791 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.791 * [taylor]: Taking taylor expansion of +nan.0 in z 0.796 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.796 * [approximate]: Taking taylor expansion of (* (sqrt (+ z y)) x) in (x y z) around 0 0.796 * [taylor]: Taking taylor expansion of (* (sqrt (+ z y)) x) in z 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in z 0.796 * [taylor]: Taking taylor expansion of (+ z y) in z 0.796 * [taylor]: Taking taylor expansion of z in z 0.796 * [taylor]: Taking taylor expansion of y in z 0.796 * [taylor]: Taking taylor expansion of x in z 0.796 * [taylor]: Taking taylor expansion of (* (sqrt (+ z y)) x) in y 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in y 0.796 * [taylor]: Taking taylor expansion of (+ z y) in y 0.796 * [taylor]: Taking taylor expansion of z in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.797 * [taylor]: Taking taylor expansion of (* (sqrt (+ z y)) x) in x 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in x 0.797 * [taylor]: Taking taylor expansion of (+ z y) in x 0.797 * [taylor]: Taking taylor expansion of z in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (* (sqrt (+ z y)) x) in x 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in x 0.797 * [taylor]: Taking taylor expansion of (+ z y) in x 0.797 * [taylor]: Taking taylor expansion of z in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [taylor]: Taking taylor expansion of 0 in z 0.798 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in y 0.798 * [taylor]: Taking taylor expansion of (+ z y) in y 0.798 * [taylor]: Taking taylor expansion of z in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.799 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.799 * [taylor]: Taking taylor expansion of z in z 0.800 * [taylor]: Taking taylor expansion of 0 in z 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of 0 in z 0.801 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 z))) in z 0.801 * [taylor]: Taking taylor expansion of 1/2 in z 0.801 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.801 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.801 * [taylor]: Taking taylor expansion of z in z 0.804 * [taylor]: Taking taylor expansion of 0 in z 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.805 * [taylor]: Taking taylor expansion of 0 in z 0.805 * [taylor]: Taking taylor expansion of 0 in z 0.806 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow z 3)))) in z 0.806 * [taylor]: Taking taylor expansion of -1/8 in z 0.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z 0.806 * [taylor]: Taking taylor expansion of (pow z 3) in z 0.806 * [taylor]: Taking taylor expansion of z in z 0.814 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (/ 1 z) (/ 1 y)))) in (x y z) around 0 0.814 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (/ 1 z) (/ 1 y)))) in z 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.814 * [taylor]: Taking taylor expansion of x in z 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in z 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.814 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.814 * [taylor]: Taking taylor expansion of z in z 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.814 * [taylor]: Taking taylor expansion of y in z 0.816 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (/ 1 z) (/ 1 y)))) in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.816 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in y 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.816 * [taylor]: Taking taylor expansion of z in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (/ 1 z) (/ 1 y)))) in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in x 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.818 * [taylor]: Taking taylor expansion of z in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (/ 1 z) (/ 1 y)))) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in x 0.819 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.819 * [taylor]: Taking taylor expansion of z in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 z))) in y 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 z)) in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.820 * [taylor]: Taking taylor expansion of z in y 0.822 * [taylor]: Taking taylor expansion of 0 in z 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of +nan.0 in z 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [taylor]: Taking taylor expansion of 0 in z 0.827 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 z) +nan.0)) in z 0.827 * [taylor]: Taking taylor expansion of +nan.0 in z 0.827 * [taylor]: Taking taylor expansion of (- (/ 1 z) +nan.0) in z 0.827 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.827 * [taylor]: Taking taylor expansion of z in z 0.827 * [taylor]: Taking taylor expansion of +nan.0 in z 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [taylor]: Taking taylor expansion of 0 in z 0.830 * [taylor]: Taking taylor expansion of 0 in z 0.831 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.832 * [taylor]: Taking taylor expansion of +nan.0 in z 0.832 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.832 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.832 * [taylor]: Taking taylor expansion of +nan.0 in z 0.832 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.832 * [taylor]: Taking taylor expansion of z in z 0.832 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.832 * [taylor]: Taking taylor expansion of +nan.0 in z 0.834 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x)) in (x y z) around 0 0.834 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x)) in z 0.834 * [taylor]: Taking taylor expansion of -1 in z 0.834 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) in z 0.834 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in z 0.834 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in z 0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.834 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.834 * [taylor]: Taking taylor expansion of z in z 0.834 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.834 * [taylor]: Taking taylor expansion of y in z 0.836 * [taylor]: Taking taylor expansion of x in z 0.836 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x)) in y 0.836 * [taylor]: Taking taylor expansion of -1 in y 0.836 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) in y 0.836 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.836 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.836 * [taylor]: Taking taylor expansion of z in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x)) in x 0.839 * [taylor]: Taking taylor expansion of -1 in x 0.839 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) in x 0.839 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in x 0.839 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in x 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.839 * [taylor]: Taking taylor expansion of z in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x)) in x 0.840 * [taylor]: Taking taylor expansion of -1 in x 0.840 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 z) (/ 1 y)))) x) in x 0.840 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in x 0.840 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in x 0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.840 * [taylor]: Taking taylor expansion of z in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (* -1 (sqrt (- (+ (/ 1 y) (/ 1 z))))) in y 0.842 * [taylor]: Taking taylor expansion of -1 in y 0.842 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 z)))) in y 0.842 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 z))) in y 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 z)) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.842 * [taylor]: Taking taylor expansion of z in y 0.845 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.845 * [taylor]: Taking taylor expansion of +nan.0 in z 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of 0 in z 0.849 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.849 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.849 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.849 * [taylor]: Taking taylor expansion of +nan.0 in z 0.849 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.849 * [taylor]: Taking taylor expansion of z in z 0.849 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.849 * [taylor]: Taking taylor expansion of +nan.0 in z 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.857 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.857 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.857 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.857 * [taylor]: Taking taylor expansion of +nan.0 in z 0.857 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.857 * [taylor]: Taking taylor expansion of z in z 0.858 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.858 * [taylor]: Taking taylor expansion of +nan.0 in z 0.862 * * * [progress]: simplifying candidates 0.863 * [simplify]: Simplifying using # : (expm1 (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (log1p (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (* (* x (sqrt (+ y z))) (sqrt (- y z))) (* (* x (sqrt (+ y z))) (sqrt (- y z))) (+ (+ (log x) (log (sqrt (+ y z)))) (log (sqrt (- y z)))) (+ (log (* x (sqrt (+ y z)))) (log (sqrt (- y z)))) (log (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (exp (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (* (* (* (* x x) x) (* (* (sqrt (+ y z)) (sqrt (+ y z))) (sqrt (+ y z)))) (* (* (sqrt (- y z)) (sqrt (- y z))) (sqrt (- y z)))) (* (* (* (* x (sqrt (+ y z))) (* x (sqrt (+ y z)))) (* x (sqrt (+ y z)))) (* (* (sqrt (- y z)) (sqrt (- y z))) (sqrt (- y z)))) (* (cbrt (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (cbrt (* (* x (sqrt (+ y z))) (sqrt (- y z))))) (cbrt (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (* (* (* (* x (sqrt (+ y z))) (sqrt (- y z))) (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (sqrt (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (sqrt (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (* (* x (sqrt (+ (pow y 3) (pow z 3)))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (* x (sqrt (+ (pow y 3) (pow z 3)))) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ y z))) (* (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (- y z)) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (* (sqrt (- y z)) (sqrt (+ y z))) (* (* x (sqrt (+ y z))) (* (cbrt (sqrt (- y z))) (cbrt (sqrt (- y z))))) (* (* x (sqrt (+ y z))) (sqrt (* (cbrt (- y z)) (cbrt (- y z))))) (* (* x (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (* x (sqrt (+ y z))) (sqrt 1)) (* (* x (sqrt (+ y z))) (sqrt (+ (sqrt y) (sqrt z)))) (* (* x (sqrt (+ y z))) (sqrt 1)) (* (* x (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (* x (sqrt (+ y z))) 1) (* (sqrt (+ y z)) (sqrt (- y z))) (* (* x (sqrt (+ y z))) (sqrt (- (pow y 3) (pow z 3)))) (* (* x (sqrt (+ y z))) (sqrt (- (* y y) (* z z)))) (* (* x (sqrt (+ (pow y 3) (pow z 3)))) (sqrt (- y z))) (* (* x (sqrt (- (* y y) (* z z)))) (sqrt (- y z))) (expm1 (* x (sqrt (+ y z)))) (log1p (* x (sqrt (+ y z)))) (* x (sqrt (+ y z))) (+ (log x) (log (sqrt (+ y z)))) (log (* x (sqrt (+ y z)))) (exp (* x (sqrt (+ y z)))) (* (* (* x x) x) (* (* (sqrt (+ y z)) (sqrt (+ y z))) (sqrt (+ y z)))) (* (cbrt (* x (sqrt (+ y z)))) (cbrt (* x (sqrt (+ y z))))) (cbrt (* x (sqrt (+ y z)))) (* (* (* x (sqrt (+ y z))) (* x (sqrt (+ y z)))) (* x (sqrt (+ y z)))) (sqrt (* x (sqrt (+ y z)))) (sqrt (* x (sqrt (+ y z)))) (* (sqrt x) (sqrt (sqrt (+ y z)))) (* (sqrt x) (sqrt (sqrt (+ y z)))) (* (sqrt x) (sqrt (sqrt (+ y z)))) (* (sqrt x) (sqrt (sqrt (+ y z)))) (* x (* (cbrt (sqrt (+ y z))) (cbrt (sqrt (+ y z))))) (* x (sqrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (* x (sqrt (sqrt (+ y z)))) (* x (sqrt 1)) (* x (sqrt 1)) (* x (sqrt (sqrt (+ y z)))) (* x 1) (* (cbrt x) (sqrt (+ y z))) (* (sqrt x) (sqrt (+ y z))) (* x (sqrt (+ y z))) (* x (sqrt (+ (pow y 3) (pow z 3)))) (* x (sqrt (- (* y y) (* z z)))) 0 (* x y) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ (* x z) (pow y 2))) (- (* +nan.0 (/ (* x z) y))))))) (- (+ (* +nan.0 (* x (pow y 2))) (- (+ (* +nan.0 (* x z)) (- (* +nan.0 (* x y))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ (* x z) (pow y 2))) (- (* +nan.0 (/ (* x z) y))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 (/ x (pow y 2)))))))) 0.869 * * [simplify]: iteration 0 : 356 enodes (cost 465 ) 0.880 * * [simplify]: iteration 1 : 1509 enodes (cost 421 ) 0.914 * * [simplify]: iteration 2 : 5001 enodes (cost 408 ) 0.924 * [simplify]: Simplified to: (expm1 (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (log1p (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (* (* x (sqrt (+ y z))) (sqrt (- y z))) (* (* x (sqrt (+ y z))) (sqrt (- y z))) (log (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (log (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (log (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (exp (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (pow (* (* x (sqrt (+ y z))) (sqrt (- y z))) 3) (pow (* (* x (sqrt (+ y z))) (sqrt (- y z))) 3) (* (cbrt (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (cbrt (* (* x (sqrt (+ y z))) (sqrt (- y z))))) (cbrt (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (pow (* (* x (sqrt (+ y z))) (sqrt (- y z))) 3) (sqrt (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (sqrt (* (* x (sqrt (+ y z))) (sqrt (- y z)))) (* (* x (hypot (pow z 3/2) (pow y 3/2))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (* x (hypot (pow z 3/2) (pow y 3/2))) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ y z))) (* (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (- y z)) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (- (* y y) (* z z)) x) (* (sqrt (- y z)) (sqrt (+ y z))) (* (* x (sqrt (+ y z))) (* (cbrt (sqrt (- y z))) (cbrt (sqrt (- y z))))) (* x (* (sqrt (+ y z)) (fabs (cbrt (- y z))))) (* (* x (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* x (sqrt (+ y z))) (* (* x (sqrt (+ y z))) (sqrt (+ (sqrt y) (sqrt z)))) (* x (sqrt (+ y z))) (* (* x (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* x (sqrt (+ y z))) (* (sqrt (- y z)) (sqrt (+ y z))) (* (* x (sqrt (+ y z))) (sqrt (- (pow y 3) (pow z 3)))) (* (* x (sqrt (+ y z))) (sqrt (- (* y y) (* z z)))) (* (* x (hypot (pow z 3/2) (pow y 3/2))) (sqrt (- y z))) (* (* x (sqrt (- (* y y) (* z z)))) (sqrt (- y z))) (expm1 (* x (sqrt (+ y z)))) (log1p (* x (sqrt (+ y z)))) (* x (sqrt (+ y z))) (log (* x (sqrt (+ y z)))) (log (* x (sqrt (+ y z)))) (exp (* x (sqrt (+ y z)))) (pow (* x (sqrt (+ y z))) 3) (* (cbrt (* x (sqrt (+ y z)))) (cbrt (* x (sqrt (+ y z))))) (cbrt (* x (sqrt (+ y z)))) (pow (* x (sqrt (+ y z))) 3) (sqrt (* x (sqrt (+ y z)))) (sqrt (* x (sqrt (+ y z)))) (* (sqrt x) (sqrt (sqrt (+ y z)))) (* (sqrt x) (sqrt (sqrt (+ y z)))) (* (sqrt x) (sqrt (sqrt (+ y z)))) (* (sqrt x) (sqrt (sqrt (+ y z)))) (* x (* (cbrt (sqrt (+ y z))) (cbrt (sqrt (+ y z))))) (* (fabs (cbrt (+ y z))) x) (* x (sqrt (sqrt (+ y z)))) x x (* x (sqrt (sqrt (+ y z)))) x (* (cbrt x) (sqrt (+ y z))) (* (sqrt x) (sqrt (+ y z))) (* x (sqrt (+ y z))) (* x (hypot (pow z 3/2) (pow y 3/2))) (* x (sqrt (- (* y y) (* z z)))) 0 (* x y) (fma (- x) +nan.0 (* +nan.0 (- (/ (* x z) (pow y 2)) (/ (* x z) y)))) (* (* +nan.0 x) (+ (- (pow y 2)) (- z y))) (fma (- x) +nan.0 (* +nan.0 (- (/ (* x z) (pow y 2)) (/ (* x z) y)))) (fma (- x) +nan.0 (* +nan.0 (- (/ x y) (/ x (pow y 2))))) 0.925 * * * [progress]: adding candidates to table 1.077 * [progress]: [Phase 3 of 3] Extracting. 1.077 * * [regime]: Finding splitpoints for: (# # # # #) 1.078 * * * [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) 1.078 * * * * [regimes]: Trying to branch on (* z z) from (# # # # #) 1.111 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.144 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # # # #) 1.177 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # # # #) 1.214 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # # # #) 1.258 * * * * [regimes]: Trying to branch on z from (# # # # #) 1.291 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.321 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.397 * * * [regime]: Found split indices: #