24.810 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.055 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.056 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.057 * * [simplify]: iteration 2 : 36 enodes (cost 5 ) 0.059 * * [simplify]: iteration 3 : 62 enodes (cost 5 ) 0.061 * * [simplify]: iteration 4 : 133 enodes (cost 5 ) 0.063 * * [simplify]: iteration 5 : 211 enodes (cost 5 ) 0.066 * * [simplify]: iteration 6 : 397 enodes (cost 5 ) 0.075 * * [simplify]: iteration 7 : 1798 enodes (cost 5 ) 0.130 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.130 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.130 * * [progress]: iteration 1 / 4 0.130 * * * [progress]: picking best candidate 0.132 * * * * [pick]: Picked # 0.132 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.139 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.143 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.146 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.156 * * * [progress]: generating series expansions 0.156 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.156 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.156 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.156 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.156 * [taylor]: Taking taylor expansion of y in z 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.156 * [taylor]: Taking taylor expansion of z in z 0.157 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.157 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.157 * [taylor]: Taking taylor expansion of z in y 0.159 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.159 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.159 * [taylor]: Taking taylor expansion of z in y 0.160 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.160 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.160 * [taylor]: Taking taylor expansion of z in z 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (neg (pow z 2)))) in z 0.166 * [taylor]: Taking taylor expansion of 1/2 in z 0.166 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.166 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.166 * [taylor]: Taking taylor expansion of z in z 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.177 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.177 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.177 * [taylor]: Taking taylor expansion of y in z 0.177 * [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 0.182 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.183 * [taylor]: Taking taylor expansion of z in y 0.186 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.187 * [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 0.193 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.193 * [taylor]: Taking taylor expansion of -1/2 in z 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.193 * [taylor]: Taking taylor expansion of z in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.200 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.200 * [taylor]: Taking taylor expansion of y in z 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.201 * [taylor]: Taking taylor expansion of z in z 0.205 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 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 0.212 * [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 0.216 * [taylor]: Taking taylor expansion of 1 in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.219 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.219 * [taylor]: Taking taylor expansion of -1/2 in z 0.219 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.219 * [taylor]: Taking taylor expansion of z in z 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.226 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.227 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 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 (- (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 0.227 * [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 0.227 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.227 * [taylor]: Taking taylor expansion of z in z 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [taylor]: Taking taylor expansion of 1 in z 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.236 * [taylor]: Taking taylor expansion of 0 in z 0.236 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.236 * [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 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.238 * [taylor]: Taking taylor expansion of z in y 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.239 * [taylor]: Taking taylor expansion of z in y 0.240 * [taylor]: Taking taylor expansion of 1 in z 0.242 * [taylor]: Taking taylor expansion of 0 in z 0.244 * [taylor]: Taking taylor expansion of (neg (/ 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 0.252 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.255 * [taylor]: Taking taylor expansion of y in z 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow z 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 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.256 * [taylor]: Taking taylor expansion of z 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 0.257 * [taylor]: Taking taylor expansion of z in y 0.258 * [taylor]: Taking taylor expansion of 1 in z 0.260 * [taylor]: Taking taylor expansion of 0 in z 0.261 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.262 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.262 * [taylor]: Taking taylor expansion of z in z 0.265 * [taylor]: Taking taylor expansion of 0 in z 0.270 * [taylor]: Taking taylor expansion of 0 in z 0.272 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.272 * [approximate]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in (x y z) around 0 0.273 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in z 0.273 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.273 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.273 * [taylor]: Taking taylor expansion of y in z 0.273 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.273 * [taylor]: Taking taylor expansion of z in z 0.273 * [taylor]: Taking taylor expansion of x in z 0.273 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in y 0.274 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.274 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.274 * [taylor]: Taking taylor expansion of z in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.275 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.275 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.275 * [taylor]: Taking taylor expansion of z in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.277 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.277 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.277 * [taylor]: Taking taylor expansion of z in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in z 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.280 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.280 * [taylor]: Taking taylor expansion of z in y 0.281 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.281 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.281 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.281 * [taylor]: Taking taylor expansion of z in z 0.284 * [taylor]: Taking taylor expansion of 0 in z 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in z 0.287 * [taylor]: Taking taylor expansion of 0 in z 0.287 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in (x y z) around 0 0.288 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.288 * [taylor]: Taking taylor expansion of x in z 0.288 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.288 * [taylor]: Taking taylor expansion of y in z 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.288 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.288 * [taylor]: Taking taylor expansion of z in z 0.293 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.294 * [taylor]: Taking taylor expansion of z in y 0.297 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.297 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.297 * [taylor]: Taking taylor expansion of z in x 0.300 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.300 * [taylor]: Taking taylor expansion of z in x 0.303 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.304 * [taylor]: Taking taylor expansion of z in y 0.307 * [taylor]: Taking taylor expansion of 1 in z 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [taylor]: Taking taylor expansion of 0 in z 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [taylor]: Taking taylor expansion of 0 in z 0.316 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.316 * [taylor]: Taking taylor expansion of -1/2 in z 0.316 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.316 * [taylor]: Taking taylor expansion of z in z 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of 0 in z 0.325 * [taylor]: Taking taylor expansion of 0 in z 0.328 * [taylor]: Taking taylor expansion of 0 in z 0.330 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in (x y z) around 0 0.330 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in z 0.330 * [taylor]: Taking taylor expansion of -1 in z 0.330 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.330 * [taylor]: Taking taylor expansion of x in z 0.330 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.330 * [taylor]: Taking taylor expansion of y in z 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.330 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.331 * [taylor]: Taking taylor expansion of z in z 0.335 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in y 0.335 * [taylor]: Taking taylor expansion of -1 in y 0.335 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.336 * [taylor]: Taking taylor expansion of z in y 0.339 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.339 * [taylor]: Taking taylor expansion of -1 in x 0.339 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.343 * [taylor]: Taking taylor expansion of z in x 0.345 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.345 * [taylor]: Taking taylor expansion of -1 in x 0.345 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.346 * [taylor]: Taking taylor expansion of z in x 0.349 * [taylor]: Taking taylor expansion of (* -1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.349 * [taylor]: Taking taylor expansion of -1 in y 0.349 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.350 * [taylor]: Taking taylor expansion of z in y 0.353 * [taylor]: Taking taylor expansion of -1 in z 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in z 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in z 0.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.365 * [taylor]: Taking taylor expansion of 1/2 in z 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.365 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.365 * [taylor]: Taking taylor expansion of z in z 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of 0 in z 0.371 * [taylor]: Taking taylor expansion of 0 in z 0.374 * [taylor]: Taking taylor expansion of 0 in z 0.375 * * * [progress]: simplifying candidates 0.376 * [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)) 0.380 * * [simplify]: iteration 0 : 187 enodes (cost 364 ) 0.384 * * [simplify]: iteration 1 : 732 enodes (cost 340 ) 0.397 * * [simplify]: iteration 2 : 3010 enodes (cost 337 ) 0.444 * * [simplify]: iteration 3 : 5002 enodes (cost 337 ) 0.446 * [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)) 0.447 * * * [progress]: adding candidates to table 0.547 * * [progress]: iteration 2 / 4 0.547 * * * [progress]: picking best candidate 0.549 * * * * [pick]: Picked # 0.549 * * * [progress]: localizing error 0.552 * * * [progress]: generating rewritten candidates 0.552 * * * [progress]: generating series expansions 0.552 * * * [progress]: simplifying candidates 0.553 * [simplify]: Simplifying using # : 0.555 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.555 * [simplify]: Simplified to: 0.555 * * * [progress]: adding candidates to table 0.555 * * [progress]: iteration 3 / 4 0.555 * * * [progress]: picking best candidate 0.556 * * * * [pick]: Picked # 0.556 * * * [progress]: localizing error 0.558 * * * [progress]: generating rewritten candidates 0.558 * * * [progress]: generating series expansions 0.558 * * * [progress]: simplifying candidates 0.558 * [simplify]: Simplifying using # : 0.560 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.560 * [simplify]: Simplified to: 0.560 * * * [progress]: adding candidates to table 0.560 * [progress]: [Phase 3 of 3] Extracting. 0.561 * * [regime]: Finding splitpoints for: (# # #) 0.561 * * * [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) 0.561 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.585 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.605 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # #) 0.626 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # #) 0.651 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # #) 0.682 * * * * [regimes]: Trying to branch on z from (# # #) 0.717 * * * * [regimes]: Trying to branch on y from (# # #) 0.736 * * * * [regimes]: Trying to branch on x from (# # #) 0.784 * * * [regime]: Found split indices: #