9.880 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.038 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.040 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.041 * * [simplify]: iteration 2 : 39 enodes (cost 5 ) 0.043 * * [simplify]: iteration 3 : 71 enodes (cost 5 ) 0.046 * * [simplify]: iteration 4 : 167 enodes (cost 5 ) 0.049 * * [simplify]: iteration 5 : 298 enodes (cost 5 ) 0.053 * * [simplify]: iteration 6 : 545 enodes (cost 5 ) 0.065 * * [simplify]: iteration 7 : 2142 enodes (cost 5 ) 0.127 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.127 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.127 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.129 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.142 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.146 * * * [progress]: generating series expansions 0.146 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.146 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.146 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.146 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.146 * [taylor]: Taking taylor expansion of y in z 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.146 * [taylor]: Taking taylor expansion of z in z 0.147 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.147 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.147 * [taylor]: Taking taylor expansion of z in y 0.148 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.148 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.148 * [taylor]: Taking taylor expansion of z in y 0.149 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.149 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.149 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.149 * [taylor]: Taking taylor expansion of z in z 0.151 * [taylor]: Taking taylor expansion of 0 in z 0.154 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.154 * [taylor]: Taking taylor expansion of 1/2 in z 0.154 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.154 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.154 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.154 * [taylor]: Taking taylor expansion of z in z 0.159 * [taylor]: Taking taylor expansion of 0 in z 0.162 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.162 * [taylor]: Taking taylor expansion of y in z 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.162 * [taylor]: Taking taylor expansion of z in z 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 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.168 * [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 0.177 * [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 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.179 * [taylor]: Taking taylor expansion of z in z 0.181 * [taylor]: Taking taylor expansion of (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 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.182 * [taylor]: Taking taylor expansion of z in y 0.184 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.184 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.185 * [taylor]: Taking taylor expansion of z in y 0.187 * [taylor]: Taking taylor expansion of 1 in z 0.187 * [taylor]: Taking taylor expansion of 0 in z 0.190 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.190 * [taylor]: Taking taylor expansion of -1/2 in z 0.190 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.190 * [taylor]: Taking taylor expansion of z in z 0.197 * [taylor]: Taking taylor expansion of 0 in z 0.198 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.198 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.198 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.198 * [taylor]: Taking taylor expansion of y 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 (- (pow y 2) (pow z 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.198 * [taylor]: Taking taylor expansion of z in y 0.198 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.198 * [taylor]: Taking taylor expansion of z in y 0.199 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.199 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.199 * [taylor]: Taking taylor expansion of z in z 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [taylor]: Taking taylor expansion of 1 in z 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.205 * [taylor]: Taking taylor expansion of y in z 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.205 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.205 * [taylor]: Taking taylor expansion of z in z 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.207 * [taylor]: Taking taylor expansion of z in y 0.207 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.208 * [taylor]: Taking taylor expansion of z in y 0.208 * [taylor]: Taking taylor expansion of 1 in z 0.209 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) 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 0.213 * [taylor]: Taking taylor expansion of 0 in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.218 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.218 * [taylor]: Taking taylor expansion of y in z 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow z 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 0.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.220 * [taylor]: Taking taylor expansion of z in y 0.220 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.221 * [taylor]: Taking taylor expansion of z in y 0.221 * [taylor]: Taking taylor expansion of 1 in z 0.222 * [taylor]: Taking taylor expansion of 0 in z 0.223 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) 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 0.226 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.232 * * * [progress]: simplifying candidates 0.233 * [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)) 0.237 * * [simplify]: iteration 0 : 135 enodes (cost 210 ) 0.240 * * [simplify]: iteration 1 : 482 enodes (cost 197 ) 0.249 * * [simplify]: iteration 2 : 1632 enodes (cost 194 ) 0.284 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 0.285 * [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)) 0.286 * * * [progress]: adding candidates to table 0.390 * * [progress]: iteration 2 / 4 0.390 * * * [progress]: picking best candidate 0.393 * * * * [pick]: Picked # 0.393 * * * [progress]: localizing error 0.396 * * * [progress]: generating rewritten candidates 0.396 * * * [progress]: generating series expansions 0.396 * * * [progress]: simplifying candidates 0.397 * [simplify]: Simplifying using # : 0.399 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.399 * [simplify]: Simplified to: 0.399 * * * [progress]: adding candidates to table 0.399 * * [progress]: iteration 3 / 4 0.399 * * * [progress]: picking best candidate 0.400 * * * * [pick]: Picked # 0.401 * * * [progress]: localizing error 0.403 * * * [progress]: generating rewritten candidates 0.403 * * * [progress]: generating series expansions 0.403 * * * [progress]: simplifying candidates 0.403 * [simplify]: Simplifying using # : 0.405 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.405 * [simplify]: Simplified to: 0.405 * * * [progress]: adding candidates to table 0.406 * [progress]: [Phase 3 of 3] Extracting. 0.406 * * [regime]: Finding splitpoints for: (# # #) 0.406 * * * [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) 0.406 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.427 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.449 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # #) 0.474 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # #) 0.502 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # #) 0.538 * * * * [regimes]: Trying to branch on z from (# # #) 0.580 * * * * [regimes]: Trying to branch on y from (# # #) 0.601 * * * * [regimes]: Trying to branch on x from (# # #) 0.652 * * * [regime]: Found split indices: #