8.691 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.038 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.039 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.040 * * [simplify]: iteration 2 : 39 enodes (cost 5 ) 0.042 * * [simplify]: iteration 3 : 71 enodes (cost 5 ) 0.044 * * [simplify]: iteration 4 : 167 enodes (cost 5 ) 0.048 * * [simplify]: iteration 5 : 298 enodes (cost 5 ) 0.052 * * [simplify]: iteration 6 : 545 enodes (cost 5 ) 0.064 * * [simplify]: iteration 7 : 2142 enodes (cost 5 ) 0.124 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.125 * [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 0.134 * * * [progress]: generating rewritten candidates 0.135 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.139 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.143 * * * [progress]: generating series expansions 0.143 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.143 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.143 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.143 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.143 * [taylor]: Taking taylor expansion of y in z 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.143 * [taylor]: Taking taylor expansion of z in z 0.144 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.144 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.144 * [taylor]: Taking taylor expansion of z in y 0.145 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.145 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.145 * [taylor]: Taking taylor expansion of z in y 0.146 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.146 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.146 * [taylor]: Taking taylor expansion of z in z 0.149 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.151 * [taylor]: Taking taylor expansion of 1/2 in z 0.151 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.151 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.151 * [taylor]: Taking taylor expansion of z in z 0.156 * [taylor]: Taking taylor expansion of 0 in z 0.159 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.159 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.159 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.159 * [taylor]: Taking taylor expansion of y in z 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.159 * [taylor]: Taking taylor expansion of z in z 0.162 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.163 * [taylor]: Taking taylor expansion of z in y 0.165 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [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 0.166 * [taylor]: Taking taylor expansion of z in y 0.168 * [taylor]: Taking taylor expansion of 1 in z 0.169 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.171 * [taylor]: Taking taylor expansion of -1/2 in z 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.171 * [taylor]: Taking taylor expansion of z in z 0.176 * [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 0.178 * [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 0.186 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [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 (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 0.193 * [taylor]: Taking taylor expansion of 1 in z 0.193 * [taylor]: Taking taylor expansion of 0 in z 0.195 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.195 * [taylor]: Taking taylor expansion of -1/2 in z 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.195 * [taylor]: Taking taylor expansion of z in z 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.201 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.201 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.201 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.201 * [taylor]: Taking taylor expansion of y in z 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.201 * [taylor]: Taking taylor expansion of z in z 0.201 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.201 * [taylor]: Taking taylor expansion of z in y 0.201 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.201 * [taylor]: Taking taylor expansion of z in y 0.201 * [taylor]: Taking taylor expansion of (- (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 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [taylor]: Taking taylor expansion of 1 in z 0.206 * [taylor]: Taking taylor expansion of 0 in z 0.208 * [taylor]: Taking taylor expansion of 0 in z 0.209 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.209 * [taylor]: Taking taylor expansion of y in z 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.209 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.209 * [taylor]: Taking taylor expansion of z in z 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.210 * [taylor]: Taking taylor expansion of z in y 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.211 * [taylor]: Taking taylor expansion of z in y 0.212 * [taylor]: Taking taylor expansion of 1 in z 0.213 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.214 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.214 * [taylor]: Taking taylor expansion of z in z 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.221 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.222 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.223 * [taylor]: Taking taylor expansion of y in z 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.223 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.223 * [taylor]: Taking taylor expansion of z in z 0.223 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.224 * [taylor]: Taking taylor expansion of z in y 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [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 in z 0.227 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.228 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.228 * [taylor]: Taking taylor expansion of z in z 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.235 * [taylor]: Taking taylor expansion of 0 in z 0.237 * * * [progress]: simplifying candidates 0.238 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* y y) (* z z)))) (log1p (sqrt (- (* y y) (* z z)))) (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (fma y y (- (* z z))) (fma (- z) z (* z z)) (expm1 (- (* y y) (* z z))) (log1p (- (* y y) (* z z))) (- (* z z)) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (- (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (* z (sqrt -1)) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0.242 * * [simplify]: iteration 0 : 135 enodes (cost 210 ) 0.247 * * [simplify]: iteration 1 : 482 enodes (cost 197 ) 0.258 * * [simplify]: iteration 2 : 1632 enodes (cost 194 ) 0.292 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 0.293 * [simplify]: Simplified to: (expm1 (sqrt (- (* y y) (* z z)))) (log1p (sqrt (- (* y y) (* z z)))) (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (pow (sqrt (- (* y y) (* z z))) 3) (fabs (cbrt (- (* y y) (* z z)))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) 1 (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (hypot y z) 1/2 (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (- (* y y) (* z z)) 0 (expm1 (- (* y y) (* z z))) (log1p (- (* y y) (* z z))) (- (* z z)) (exp (- (* y y) (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (pow (- (* y y) (* z z)) 3) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (fma (- (pow z 5)) z (pow y 6)) (fma z (* z (fma y y (* z z))) (pow y 4)) (- (* z z)) (fma (- (pow z 3)) z (pow y 4)) (fma y y (* z z)) (+ y z) (- y z) (- (* z z)) (* z (sqrt -1)) y (* -1 y) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) 0.294 * * * [progress]: adding candidates to table 0.405 * * [progress]: iteration 2 / 4 0.405 * * * [progress]: picking best candidate 0.408 * * * * [pick]: Picked # 0.408 * * * [progress]: localizing error 0.412 * * * [progress]: generating rewritten candidates 0.412 * * * [progress]: generating series expansions 0.412 * * * [progress]: simplifying candidates 0.412 * [simplify]: Simplifying using # : 0.414 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.414 * [simplify]: Simplified to: 0.415 * * * [progress]: adding candidates to table 0.415 * * [progress]: iteration 3 / 4 0.415 * * * [progress]: picking best candidate 0.416 * * * * [pick]: Picked # 0.416 * * * [progress]: localizing error 0.418 * * * [progress]: generating rewritten candidates 0.419 * * * [progress]: generating series expansions 0.419 * * * [progress]: simplifying candidates 0.419 * [simplify]: Simplifying using # : 0.421 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.421 * [simplify]: Simplified to: 0.421 * * * [progress]: adding candidates to table 0.422 * [progress]: [Phase 3 of 3] Extracting. 0.422 * * [regime]: Finding splitpoints for: (# # #) 0.422 * * * [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) 0.422 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.449 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.472 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # #) 0.493 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # #) 0.520 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # #) 0.553 * * * * [regimes]: Trying to branch on z from (# # #) 0.627 * * * * [regimes]: Trying to branch on y from (# # #) 0.649 * * * * [regimes]: Trying to branch on x from (# # #) 0.697 * * * [regime]: Found split indices: #