14.534 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.792 * * * [progress]: [2/2] Setting up program. 0.796 * [progress]: [Phase 2 of 3] Improving. 0.796 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.798 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.799 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.800 * * [simplify]: iteration 2 : 36 enodes (cost 5 ) 0.801 * * [simplify]: iteration 3 : 62 enodes (cost 5 ) 0.803 * * [simplify]: iteration 4 : 133 enodes (cost 5 ) 0.805 * * [simplify]: iteration 5 : 211 enodes (cost 5 ) 0.808 * * [simplify]: iteration 6 : 397 enodes (cost 5 ) 0.817 * * [simplify]: iteration 7 : 1798 enodes (cost 5 ) 0.872 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.873 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.873 * * [progress]: iteration 1 / 4 0.873 * * * [progress]: picking best candidate 0.876 * * * * [pick]: Picked # 0.876 * * * [progress]: localizing error 0.883 * * * [progress]: generating rewritten candidates 0.883 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.886 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.890 * * * [progress]: generating series expansions 0.890 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.890 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.890 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.890 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.890 * [taylor]: Taking taylor expansion of y in z 0.890 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.890 * [taylor]: Taking taylor expansion of z in z 0.891 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.891 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.891 * [taylor]: Taking taylor expansion of z in y 0.891 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.891 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.891 * [taylor]: Taking taylor expansion of z in y 0.892 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.892 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.892 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.892 * [taylor]: Taking taylor expansion of z in z 0.892 * [taylor]: Taking taylor expansion of 0 in z 0.892 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (neg (pow z 2)))) in z 0.892 * [taylor]: Taking taylor expansion of 1/2 in z 0.892 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.892 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.892 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.892 * [taylor]: Taking taylor expansion of z in z 0.893 * [taylor]: Taking taylor expansion of 0 in z 0.893 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.893 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.893 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.893 * [taylor]: Taking taylor expansion of y in z 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.893 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.893 * [taylor]: Taking taylor expansion of z in z 0.893 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.893 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.894 * [taylor]: Taking taylor expansion of z in y 0.894 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.894 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.894 * [taylor]: Taking taylor expansion of z in y 0.894 * [taylor]: Taking taylor expansion of 1 in z 0.894 * [taylor]: Taking taylor expansion of 0 in z 0.895 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.895 * [taylor]: Taking taylor expansion of -1/2 in z 0.895 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.895 * [taylor]: Taking taylor expansion of z in z 0.895 * [taylor]: Taking taylor expansion of 0 in z 0.895 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.895 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.895 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.895 * [taylor]: Taking taylor expansion of y in z 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.896 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.896 * [taylor]: Taking taylor expansion of z in z 0.896 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.896 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.896 * [taylor]: Taking taylor expansion of z in y 0.896 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.896 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.896 * [taylor]: Taking taylor expansion of z in y 0.896 * [taylor]: Taking taylor expansion of 1 in z 0.896 * [taylor]: Taking taylor expansion of 0 in z 0.897 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.897 * [taylor]: Taking taylor expansion of -1/2 in z 0.897 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.897 * [taylor]: Taking taylor expansion of z in z 0.897 * [taylor]: Taking taylor expansion of 0 in z 0.897 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.897 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.898 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.898 * [taylor]: Taking taylor expansion of y in z 0.898 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.898 * [taylor]: Taking taylor expansion of z in z 0.898 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.898 * [taylor]: Taking taylor expansion of z in y 0.898 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.898 * [taylor]: Taking taylor expansion of z in y 0.898 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.898 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.898 * [taylor]: Taking taylor expansion of z in z 0.898 * [taylor]: Taking taylor expansion of 0 in z 0.898 * [taylor]: Taking taylor expansion of 1 in z 0.898 * [taylor]: Taking taylor expansion of 0 in z 0.898 * [taylor]: Taking taylor expansion of 0 in z 0.899 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.899 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.899 * [taylor]: Taking taylor expansion of y in z 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.899 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.899 * [taylor]: Taking taylor expansion of z in z 0.899 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.899 * [taylor]: Taking taylor expansion of z in y 0.899 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.899 * [taylor]: Taking taylor expansion of z in y 0.899 * [taylor]: Taking taylor expansion of 1 in z 0.900 * [taylor]: Taking taylor expansion of 0 in z 0.900 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.900 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.900 * [taylor]: Taking taylor expansion of z in z 0.900 * [taylor]: Taking taylor expansion of 0 in z 0.901 * [taylor]: Taking taylor expansion of 0 in z 0.901 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.901 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.901 * [taylor]: Taking taylor expansion of y in z 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.901 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.901 * [taylor]: Taking taylor expansion of z in z 0.901 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.901 * [taylor]: Taking taylor expansion of z in y 0.901 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.902 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.902 * [taylor]: Taking taylor expansion of z in y 0.902 * [taylor]: Taking taylor expansion of 1 in z 0.902 * [taylor]: Taking taylor expansion of 0 in z 0.902 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.902 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.902 * [taylor]: Taking taylor expansion of z in z 0.902 * [taylor]: Taking taylor expansion of 0 in z 0.903 * [taylor]: Taking taylor expansion of 0 in z 0.903 * * * [progress]: simplifying candidates 0.904 * [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)) (* z (sqrt (neg 1))) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0.907 * * [simplify]: iteration 0 : 123 enodes (cost 189 ) 0.910 * * [simplify]: iteration 1 : 439 enodes (cost 175 ) 0.917 * * [simplify]: iteration 2 : 1491 enodes (cost 175 ) 0.947 * * [simplify]: iteration 3 : 5003 enodes (cost 174 ) 0.949 * [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)) (* z (sqrt -1)) y (* -1 y) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) 0.949 * * * [progress]: adding candidates to table 0.993 * * [progress]: iteration 2 / 4 0.993 * * * [progress]: picking best candidate 0.998 * * * * [pick]: Picked # 0.998 * * * [progress]: localizing error 1.000 * * * [progress]: generating rewritten candidates 1.001 * * * [progress]: generating series expansions 1.001 * * * [progress]: simplifying candidates 1.001 * [simplify]: Simplifying using # : 1.003 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.003 * [simplify]: Simplified to: 1.003 * * * [progress]: adding candidates to table 1.003 * * [progress]: iteration 3 / 4 1.003 * * * [progress]: picking best candidate 1.006 * * * * [pick]: Picked # 1.006 * * * [progress]: localizing error 1.009 * * * [progress]: generating rewritten candidates 1.009 * * * [progress]: generating series expansions 1.009 * * * [progress]: simplifying candidates 1.009 * [simplify]: Simplifying using # : 1.011 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.012 * [simplify]: Simplified to: 1.012 * * * [progress]: adding candidates to table 1.012 * [progress]: [Phase 3 of 3] Extracting. 1.012 * * [regime]: Finding splitpoints for: (# # #) 1.012 * * * [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) 1.012 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 1.062 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.110 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # #) 1.160 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # #) 1.214 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # #) 1.276 * * * * [regimes]: Trying to branch on z from (# # #) 1.340 * * * * [regimes]: Trying to branch on y from (# # #) 1.387 * * * * [regimes]: Trying to branch on x from (# # #) 1.460 * * * [regime]: Found split indices: #