17.764 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.034 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.036 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.038 * * [simplify]: iteration 2 : 39 enodes (cost 5 ) 0.039 * * [simplify]: iteration 3 : 71 enodes (cost 5 ) 0.042 * * [simplify]: iteration 4 : 167 enodes (cost 5 ) 0.045 * * [simplify]: iteration 5 : 298 enodes (cost 5 ) 0.051 * * [simplify]: iteration 6 : 545 enodes (cost 5 ) 0.062 * * [simplify]: iteration 7 : 2142 enodes (cost 5 ) 0.124 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.124 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.142 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.147 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.153 * * * [progress]: generating series expansions 0.153 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.153 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.153 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.153 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.153 * [taylor]: Taking taylor expansion of y in z 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.153 * [taylor]: Taking taylor expansion of z in z 0.154 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.154 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.154 * [taylor]: Taking taylor expansion of z in y 0.155 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.155 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.156 * [taylor]: Taking taylor expansion of z in y 0.157 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.157 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.157 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.157 * [taylor]: Taking taylor expansion of z in z 0.159 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.161 * [taylor]: Taking taylor expansion of 1/2 in z 0.161 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.161 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.161 * [taylor]: Taking taylor expansion of z in z 0.166 * [taylor]: Taking taylor expansion of 0 in z 0.169 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.169 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.169 * [taylor]: Taking taylor expansion of y in z 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.170 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.170 * [taylor]: Taking taylor expansion of z in z 0.173 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.173 * [taylor]: Taking taylor expansion of z in y 0.176 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 (/ 1 (pow z 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.176 * [taylor]: Taking taylor expansion of z in y 0.179 * [taylor]: Taking taylor expansion of 1 in z 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.181 * [taylor]: Taking taylor expansion of -1/2 in z 0.181 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.181 * [taylor]: Taking taylor expansion of z in z 0.185 * [taylor]: Taking taylor expansion of 0 in z 0.186 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.186 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.186 * [taylor]: Taking taylor expansion of y in z 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.186 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.186 * [taylor]: Taking taylor expansion of z in z 0.189 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.190 * [taylor]: Taking taylor expansion of z in y 0.192 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.193 * [taylor]: Taking taylor expansion of z in y 0.195 * [taylor]: Taking taylor expansion of 1 in z 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.198 * [taylor]: Taking taylor expansion of -1/2 in z 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.198 * [taylor]: Taking taylor expansion of z in z 0.201 * [taylor]: Taking taylor expansion of 0 in z 0.203 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.203 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.203 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.203 * [taylor]: Taking taylor expansion of y in z 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.203 * [taylor]: Taking taylor expansion of z in z 0.203 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.203 * [taylor]: Taking taylor expansion of z in y 0.203 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.203 * [taylor]: Taking taylor expansion of z in y 0.203 * [taylor]: Taking taylor expansion of (- (pow z 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 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [taylor]: Taking taylor expansion of 1 in z 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.210 * [taylor]: Taking taylor expansion of y in z 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.210 * [taylor]: Taking taylor expansion of z in z 0.211 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.212 * [taylor]: Taking taylor expansion of z 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 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.212 * [taylor]: Taking taylor expansion of z in y 0.213 * [taylor]: Taking taylor expansion of 1 in z 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) 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 0.216 * [taylor]: Taking taylor expansion of z in z 0.218 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [taylor]: Taking taylor expansion of 0 in z 0.223 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.224 * [taylor]: Taking taylor expansion of y in z 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.224 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.224 * [taylor]: Taking taylor expansion of z in z 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.225 * [taylor]: Taking taylor expansion of z in y 0.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.226 * [taylor]: Taking taylor expansion of z in y 0.227 * [taylor]: Taking taylor expansion of 1 in z 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.233 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.233 * [taylor]: Taking taylor expansion of z in z 0.236 * [taylor]: Taking taylor expansion of 0 in z 0.240 * [taylor]: Taking taylor expansion of 0 in z 0.241 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.241 * [approximate]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in (x y z) around 0 0.241 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in z 0.242 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.242 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.242 * [taylor]: Taking taylor expansion of y in z 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.242 * [taylor]: Taking taylor expansion of z in z 0.242 * [taylor]: Taking taylor expansion of x in z 0.242 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in y 0.242 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.242 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.242 * [taylor]: Taking taylor expansion of z in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.244 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.244 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.244 * [taylor]: Taking taylor expansion of z in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.245 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 (pow z 2) in x 0.245 * [taylor]: Taking taylor expansion of z in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of 0 in z 0.247 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.247 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 (pow z 2) in y 0.247 * [taylor]: Taking taylor expansion of z in y 0.248 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.248 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.248 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.248 * [taylor]: Taking taylor expansion of z in z 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 0.253 * [taylor]: Taking taylor expansion of 0 in z 0.253 * [taylor]: Taking taylor expansion of 0 in z 0.253 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in (x y z) around 0 0.253 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.253 * [taylor]: Taking taylor expansion of x in z 0.253 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.253 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.253 * [taylor]: Taking taylor expansion of y in z 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.254 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.254 * [taylor]: Taking taylor expansion of z in z 0.257 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.258 * [taylor]: Taking taylor expansion of z in y 0.260 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.260 * [taylor]: Taking taylor expansion of z in x 0.262 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.262 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.263 * [taylor]: Taking taylor expansion of z in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.265 * [taylor]: Taking taylor expansion of z in y 0.267 * [taylor]: Taking taylor expansion of 1 in z 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in z 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in z 0.274 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.274 * [taylor]: Taking taylor expansion of -1/2 in z 0.274 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.274 * [taylor]: Taking taylor expansion of z in z 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.283 * [taylor]: Taking taylor expansion of 0 in z 0.285 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in (x y z) around 0 0.285 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in z 0.285 * [taylor]: Taking taylor expansion of -1 in z 0.285 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.285 * [taylor]: Taking taylor expansion of x in z 0.285 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.285 * [taylor]: Taking taylor expansion of y in z 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.285 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.285 * [taylor]: Taking taylor expansion of z in z 0.288 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in y 0.288 * [taylor]: Taking taylor expansion of -1 in y 0.288 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [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 0.291 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.292 * [taylor]: Taking taylor expansion of z in x 0.293 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.293 * [taylor]: Taking taylor expansion of -1 in x 0.294 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.294 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.294 * [taylor]: Taking taylor expansion of z in x 0.296 * [taylor]: Taking taylor expansion of (* -1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.296 * [taylor]: Taking taylor expansion of -1 in y 0.296 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.296 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.297 * [taylor]: Taking taylor expansion of z in y 0.299 * [taylor]: Taking taylor expansion of -1 in z 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in z 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of 0 in z 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.309 * [taylor]: Taking taylor expansion of 1/2 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 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of 0 in z 0.316 * [taylor]: Taking taylor expansion of 0 in z 0.319 * [taylor]: Taking taylor expansion of 0 in z 0.321 * * * [progress]: simplifying candidates 0.321 * [simplify]: Simplifying using # : (sqrt (+ y z)) (sqrt (- y z)) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (+ y z)) (sqrt (- y 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))) (fma y y (- (* z z))) (fma (- z) z (* z z)) (fma y y (- (* z z))) (fma (- z) z (* z z)) (fma y y (- (* z z))) (fma (- z) z (* z z)) (fma y y (- (* z z))) (fma (- z) z (* z z)) (- (* z z)) (- (* 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) (+ y z) (- y z) (+ y z) (- y z) (+ y z) (- y z) (- (* z z)) (* x (sqrt (+ y z))) (* x (sqrt (+ y z))) (* x (sqrt (+ y z))) (* x (sqrt (+ y 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)) 0.325 * * [simplify]: iteration 0 : 107 enodes (cost 148 ) 0.328 * * [simplify]: iteration 1 : 341 enodes (cost 145 ) 0.334 * * [simplify]: iteration 2 : 858 enodes (cost 142 ) 0.350 * * [simplify]: iteration 3 : 2720 enodes (cost 129 ) 0.415 * * [simplify]: iteration 4 : 5001 enodes (cost 129 ) 0.416 * [simplify]: Simplified to: (sqrt (+ y z)) (sqrt (- y z)) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (+ y z)) (sqrt (- y 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) (- (pow y 2) (pow z 2)) 0 (- (pow y 2) (pow z 2)) 0 (- (pow y 2) (pow z 2)) 0 (- (pow y 2) (pow z 2)) 0 (- (* z z)) (- (* 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) (+ y z) (- y z) (+ y z) (- y z) (+ y z) (- y z) (- (* z z)) (* x (sqrt (+ y z))) (* x (sqrt (+ y z))) (* x (sqrt (+ y z))) (* x (sqrt (+ y 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)) 0.419 * * * [progress]: adding candidates to table 0.481 * * [progress]: iteration 2 / 4 0.481 * * * [progress]: picking best candidate 0.484 * * * * [pick]: Picked # 0.484 * * * [progress]: localizing error 0.487 * * * [progress]: generating rewritten candidates 0.487 * * * [progress]: generating series expansions 0.487 * * * [progress]: simplifying candidates 0.488 * [simplify]: Simplifying using # : 0.490 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.490 * [simplify]: Simplified to: 0.490 * * * [progress]: adding candidates to table 0.490 * * [progress]: iteration 3 / 4 0.490 * * * [progress]: picking best candidate 0.492 * * * * [pick]: Picked # 0.492 * * * [progress]: localizing error 0.494 * * * [progress]: generating rewritten candidates 0.494 * * * [progress]: generating series expansions 0.494 * * * [progress]: simplifying candidates 0.494 * [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]: [Phase 3 of 3] Extracting. 0.497 * * [regime]: Finding splitpoints for: (# # #) 0.497 * * * [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) 0.497 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.516 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.540 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # #) 0.564 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # #) 0.591 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # #) 0.625 * * * * [regimes]: Trying to branch on z from (# # #) 0.662 * * * * [regimes]: Trying to branch on y from (# # #) 0.683 * * * * [regimes]: Trying to branch on x from (# # #) 0.737 * * * [regime]: Found split indices: #