15.432 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.064 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.066 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.068 * * [simplify]: iteration 2 : 36 enodes (cost 5 ) 0.070 * * [simplify]: iteration 3 : 62 enodes (cost 5 ) 0.073 * * [simplify]: iteration 4 : 133 enodes (cost 5 ) 0.077 * * [simplify]: iteration 5 : 211 enodes (cost 5 ) 0.082 * * [simplify]: iteration 6 : 397 enodes (cost 5 ) 0.094 * * [simplify]: iteration 7 : 1798 enodes (cost 5 ) 0.170 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.170 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.171 * * [progress]: iteration 1 / 4 0.171 * * * [progress]: picking best candidate 0.174 * * * * [pick]: Picked # 0.174 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.196 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.202 * * * [progress]: generating series expansions 0.202 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.202 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.202 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.202 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.202 * [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 0.204 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.204 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.204 * [taylor]: Taking taylor expansion of z in y 0.205 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.205 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 0.205 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.206 * [taylor]: Taking taylor expansion of z in y 0.207 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.207 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.207 * [taylor]: Taking taylor expansion of z in z 0.210 * [taylor]: Taking taylor expansion of 0 in z 0.213 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.213 * [taylor]: Taking taylor expansion of 1/2 in z 0.213 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.213 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.213 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.213 * [taylor]: Taking taylor expansion of z in z 0.222 * [taylor]: Taking taylor expansion of 0 in z 0.226 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.226 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.226 * [taylor]: Taking taylor expansion of y in z 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.226 * [taylor]: Taking taylor expansion of z in z 0.230 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.232 * [taylor]: Taking taylor expansion of z in y 0.235 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.236 * [taylor]: Taking taylor expansion of z in y 0.239 * [taylor]: Taking taylor expansion of 1 in z 0.239 * [taylor]: Taking taylor expansion of 0 in z 0.242 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.242 * [taylor]: Taking taylor expansion of -1/2 in z 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.242 * [taylor]: Taking taylor expansion of z in z 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.250 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.250 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.250 * [taylor]: Taking taylor expansion of y in z 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.250 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.250 * [taylor]: Taking taylor expansion of z in z 0.254 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.255 * [taylor]: Taking taylor expansion of z in y 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.259 * [taylor]: Taking taylor expansion of z in y 0.262 * [taylor]: Taking taylor expansion of 1 in z 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.266 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.266 * [taylor]: Taking taylor expansion of -1/2 in z 0.266 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.266 * [taylor]: Taking taylor expansion of z in z 0.271 * [taylor]: Taking taylor expansion of 0 in z 0.273 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.273 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 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 (- (pow y 2) (pow z 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.273 * [taylor]: Taking taylor expansion of z in y 0.273 * [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 0.274 * [taylor]: Taking taylor expansion of (- (pow z 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 0.275 * [taylor]: Taking taylor expansion of 0 in z 0.276 * [taylor]: Taking taylor expansion of 1 in z 0.279 * [taylor]: Taking taylor expansion of 0 in z 0.283 * [taylor]: Taking taylor expansion of 0 in z 0.283 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.283 * [taylor]: Taking taylor expansion of y in z 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.283 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.283 * [taylor]: Taking taylor expansion of z in z 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.285 * [taylor]: Taking taylor expansion of z in y 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.286 * [taylor]: Taking taylor expansion of z in y 0.287 * [taylor]: Taking taylor expansion of 1 in z 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.290 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.290 * [taylor]: Taking taylor expansion of z in z 0.294 * [taylor]: Taking taylor expansion of 0 in z 0.299 * [taylor]: Taking taylor expansion of 0 in z 0.301 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.301 * [taylor]: Taking taylor expansion of y in z 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.302 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.302 * [taylor]: Taking taylor expansion of z in z 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.303 * [taylor]: Taking taylor expansion of z 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 0.305 * [taylor]: Taking taylor expansion of 1 in z 0.306 * [taylor]: Taking taylor expansion of 0 in z 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.308 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.308 * [taylor]: Taking taylor expansion of z in z 0.319 * [taylor]: Taking taylor expansion of 0 in z 0.324 * [taylor]: Taking taylor expansion of 0 in z 0.326 * * * [progress]: simplifying candidates 0.327 * [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)))) (- (* 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)) 0.332 * * [simplify]: iteration 0 : 122 enodes (cost 189 ) 0.336 * * [simplify]: iteration 1 : 432 enodes (cost 175 ) 0.346 * * [simplify]: iteration 2 : 1459 enodes (cost 175 ) 0.387 * * [simplify]: iteration 3 : 5001 enodes (cost 174 ) 0.388 * [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)) (- (* z z)) (+ (* (- (pow z 3)) z) (pow y 4)) (+ (* 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)) 0.389 * * * [progress]: adding candidates to table 0.476 * * [progress]: iteration 2 / 4 0.476 * * * [progress]: picking best candidate 0.478 * * * * [pick]: Picked # 0.478 * * * [progress]: localizing error 0.481 * * * [progress]: generating rewritten candidates 0.481 * * * [progress]: generating series expansions 0.481 * * * [progress]: simplifying candidates 0.481 * [simplify]: Simplifying using # : 0.484 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.484 * [simplify]: Simplified to: 0.484 * * * [progress]: adding candidates to table 0.484 * * [progress]: iteration 3 / 4 0.484 * * * [progress]: picking best candidate 0.485 * * * * [pick]: Picked # 0.485 * * * [progress]: localizing error 0.487 * * * [progress]: generating rewritten candidates 0.488 * * * [progress]: generating series expansions 0.488 * * * [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]: [Phase 3 of 3] Extracting. 0.490 * * [regime]: Finding splitpoints for: (# # #) 0.490 * * * [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) 0.490 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.514 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.535 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # #) 0.556 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # #) 0.582 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # #) 0.613 * * * * [regimes]: Trying to branch on z from (# # #) 0.653 * * * * [regimes]: Trying to branch on y from (# # #) 0.671 * * * * [regimes]: Trying to branch on x from (# # #) 0.722 * * * [regime]: Found split indices: #