22.809 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.046 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.047 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.049 * * [simplify]: iteration 2 : 36 enodes (cost 5 ) 0.050 * * [simplify]: iteration 3 : 62 enodes (cost 5 ) 0.052 * * [simplify]: iteration 4 : 133 enodes (cost 5 ) 0.054 * * [simplify]: iteration 5 : 211 enodes (cost 5 ) 0.058 * * [simplify]: iteration 6 : 397 enodes (cost 5 ) 0.067 * * [simplify]: iteration 7 : 1798 enodes (cost 5 ) 0.123 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.123 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.124 * * [progress]: iteration 1 / 4 0.124 * * * [progress]: picking best candidate 0.126 * * * * [pick]: Picked # 0.126 * * * [progress]: localizing error 0.133 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.136 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.140 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.148 * * * [progress]: generating series expansions 0.148 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.149 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.149 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.149 * [taylor]: Taking taylor expansion of y in z 0.149 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.149 * [taylor]: Taking taylor expansion of z in z 0.149 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.150 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.150 * [taylor]: Taking taylor expansion of z in y 0.150 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.151 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.151 * [taylor]: Taking taylor expansion of z in y 0.152 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.152 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.152 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.152 * [taylor]: Taking taylor expansion of z in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (neg (pow z 2)))) in z 0.156 * [taylor]: Taking taylor expansion of 1/2 in z 0.156 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.156 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.156 * [taylor]: Taking taylor expansion of z in z 0.160 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.163 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.163 * [taylor]: Taking taylor expansion of y in z 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.163 * [taylor]: Taking taylor expansion of z in z 0.166 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.167 * [taylor]: Taking taylor expansion of z in y 0.168 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.169 * [taylor]: Taking taylor expansion of z in y 0.171 * [taylor]: Taking taylor expansion of 1 in z 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.173 * [taylor]: Taking taylor expansion of -1/2 in z 0.173 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.173 * [taylor]: Taking taylor expansion of z in z 0.176 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.178 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.178 * [taylor]: Taking taylor expansion of y in z 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.178 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.178 * [taylor]: Taking taylor expansion of z in z 0.181 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.181 * [taylor]: Taking taylor expansion of z in y 0.183 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.184 * [taylor]: Taking taylor expansion of z in y 0.190 * [taylor]: Taking taylor expansion of 1 in z 0.190 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.192 * [taylor]: Taking taylor expansion of -1/2 in z 0.192 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.192 * [taylor]: Taking taylor expansion of z in z 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.197 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.197 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.197 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.197 * [taylor]: Taking taylor expansion of y in z 0.197 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.197 * [taylor]: Taking taylor expansion of z in z 0.197 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.197 * [taylor]: Taking taylor expansion of z in y 0.197 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.197 * [taylor]: Taking taylor expansion of z in y 0.198 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.198 * [taylor]: Taking taylor expansion of z in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [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 0 in z 0.204 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.204 * [taylor]: Taking taylor expansion of y in z 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 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 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.205 * [taylor]: Taking taylor expansion of z in y 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.206 * [taylor]: Taking taylor expansion of z in y 0.206 * [taylor]: Taking taylor expansion of 1 in z 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.208 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.208 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.208 * [taylor]: Taking taylor expansion of z in z 0.211 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.215 * [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 0.216 * [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 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.217 * [taylor]: Taking taylor expansion of z in y 0.217 * [taylor]: Taking taylor expansion of 1 in z 0.218 * [taylor]: Taking taylor expansion of 0 in z 0.220 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.220 * [taylor]: Taking taylor expansion of z in z 0.222 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.226 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.227 * [approximate]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in (x y z) around 0 0.227 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in z 0.227 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.227 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.227 * [taylor]: Taking taylor expansion of y in z 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.227 * [taylor]: Taking taylor expansion of z in z 0.227 * [taylor]: Taking taylor expansion of x in z 0.227 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in y 0.227 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.227 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.227 * [taylor]: Taking taylor expansion of z in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.228 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.228 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.228 * [taylor]: Taking taylor expansion of z in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.230 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.230 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.230 * [taylor]: Taking taylor expansion of z in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.231 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.231 * [taylor]: Taking taylor expansion of z in y 0.232 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.232 * [taylor]: Taking taylor expansion of (neg (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 0.235 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in (x y z) around 0 0.237 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.237 * [taylor]: Taking taylor expansion of x in z 0.237 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.237 * [taylor]: Taking taylor expansion of y in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.237 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.237 * [taylor]: Taking taylor expansion of z in z 0.240 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 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 0.241 * [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 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.243 * [taylor]: Taking taylor expansion of z in x 0.244 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.245 * [taylor]: Taking taylor expansion of z in x 0.246 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.247 * [taylor]: Taking taylor expansion of z in y 0.249 * [taylor]: Taking taylor expansion of 1 in z 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in z 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.255 * [taylor]: Taking taylor expansion of -1/2 in z 0.255 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.255 * [taylor]: Taking taylor expansion of z in z 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in z 0.261 * [taylor]: Taking taylor expansion of 0 in z 0.263 * [taylor]: Taking taylor expansion of 0 in z 0.264 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in (x y z) around 0 0.264 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in z 0.264 * [taylor]: Taking taylor expansion of -1 in z 0.264 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.264 * [taylor]: Taking taylor expansion of x in z 0.264 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.264 * [taylor]: Taking taylor expansion of y in z 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.265 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.265 * [taylor]: Taking taylor expansion of z in z 0.267 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in y 0.267 * [taylor]: Taking taylor expansion of -1 in y 0.267 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.268 * [taylor]: Taking taylor expansion of z in y 0.270 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.270 * [taylor]: Taking taylor expansion of -1 in x 0.270 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.271 * [taylor]: Taking taylor expansion of z in x 0.272 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.272 * [taylor]: Taking taylor expansion of -1 in x 0.272 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.273 * [taylor]: Taking taylor expansion of z in x 0.279 * [taylor]: Taking taylor expansion of (* -1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.279 * [taylor]: Taking taylor expansion of -1 in y 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.280 * [taylor]: Taking taylor expansion of z in y 0.282 * [taylor]: Taking taylor expansion of -1 in z 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.291 * [taylor]: Taking taylor expansion of 1/2 in z 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.291 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.291 * [taylor]: Taking taylor expansion of z in z 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.300 * [taylor]: Taking taylor expansion of 0 in z 0.302 * * * [progress]: simplifying candidates 0.302 * [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)))) (neg (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (neg (* 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)) 0.307 * * [simplify]: iteration 0 : 187 enodes (cost 364 ) 0.312 * * [simplify]: iteration 1 : 732 enodes (cost 340 ) 0.325 * * [simplify]: iteration 2 : 3010 enodes (cost 337 ) 0.376 * * [simplify]: iteration 3 : 5002 enodes (cost 337 ) 0.379 * [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)) (neg (* z z)) (+ (* (neg (pow z 3)) z) (pow y 4)) (+ (* y y) (* z z)) (+ y z) (- y z) (neg (* 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)) 0.379 * * * [progress]: adding candidates to table 0.489 * * [progress]: iteration 2 / 4 0.489 * * * [progress]: picking best candidate 0.491 * * * * [pick]: Picked # 0.491 * * * [progress]: localizing error 0.494 * * * [progress]: generating rewritten candidates 0.494 * * * [progress]: generating series expansions 0.494 * * * [progress]: simplifying candidates 0.495 * [simplify]: Simplifying using # : 0.497 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.497 * [simplify]: Simplified to: 0.497 * * * [progress]: adding candidates to table 0.497 * * [progress]: iteration 3 / 4 0.497 * * * [progress]: picking best candidate 0.498 * * * * [pick]: Picked # 0.498 * * * [progress]: localizing error 0.501 * * * [progress]: generating rewritten candidates 0.501 * * * [progress]: generating series expansions 0.501 * * * [progress]: simplifying candidates 0.501 * [simplify]: Simplifying using # : 0.503 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.504 * [simplify]: Simplified to: 0.504 * * * [progress]: adding candidates to table 0.504 * [progress]: [Phase 3 of 3] Extracting. 0.504 * * [regime]: Finding splitpoints for: (# # #) 0.504 * * * [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) 0.504 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.529 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.551 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # #) 0.574 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # #) 0.600 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # #) 0.633 * * * * [regimes]: Trying to branch on z from (# # #) 0.669 * * * * [regimes]: Trying to branch on y from (# # #) 0.690 * * * * [regimes]: Trying to branch on x from (# # #) 0.741 * * * [regime]: Found split indices: #