0.423 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.049 * * [simplify]: iteration 0 : 8 enodes (cost 10 ) 0.050 * * [simplify]: iteration 1 : 14 enodes (cost 10 ) 0.052 * * [simplify]: iteration 2 : 21 enodes (cost 10 ) 0.054 * * [simplify]: iteration 3 : 36 enodes (cost 10 ) 0.058 * * [simplify]: iteration 4 : 63 enodes (cost 10 ) 0.067 * * [simplify]: iteration 5 : 104 enodes (cost 10 ) 0.086 * * [simplify]: iteration 6 : 168 enodes (cost 10 ) 0.118 * * [simplify]: iteration 7 : 336 enodes (cost 10 ) 0.246 * * [simplify]: iteration 8 : 1657 enodes (cost 10 ) 0.915 * * [simplify]: iteration done : 5001 enodes (cost 10 ) 0.915 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.915 * * [progress]: iteration 1 / 4 0.915 * * * [progress]: picking best candidate 0.917 * * * * [pick]: Picked # 0.917 * * * [progress]: localizing error 0.928 * * * [progress]: generating rewritten candidates 0.928 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.932 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.935 * * * [progress]: generating series expansions 0.935 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.936 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.936 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.936 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.936 * [taylor]: Taking taylor expansion of y in z 0.936 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.936 * [taylor]: Taking taylor expansion of z in z 0.936 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.936 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.937 * [taylor]: Taking taylor expansion of z in y 0.937 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.937 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.938 * [taylor]: Taking taylor expansion of z in y 0.938 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.938 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.938 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.938 * [taylor]: Taking taylor expansion of z in z 0.941 * [taylor]: Taking taylor expansion of 0 in z 0.942 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.943 * [taylor]: Taking taylor expansion of 1/2 in z 0.943 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.943 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.943 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.943 * [taylor]: Taking taylor expansion of z in z 0.948 * [taylor]: Taking taylor expansion of 0 in z 0.950 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.950 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.950 * [taylor]: Taking taylor expansion of y in z 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.950 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.950 * [taylor]: Taking taylor expansion of z in z 0.953 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.953 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.953 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.954 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.954 * [taylor]: Taking taylor expansion of z in y 0.956 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.956 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.957 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.957 * [taylor]: Taking taylor expansion of z in y 0.959 * [taylor]: Taking taylor expansion of 1 in z 0.959 * [taylor]: Taking taylor expansion of 0 in z 0.961 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.961 * [taylor]: Taking taylor expansion of -1/2 in z 0.961 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.961 * [taylor]: Taking taylor expansion of z in z 0.964 * [taylor]: Taking taylor expansion of 0 in z 0.966 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.966 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.966 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.966 * [taylor]: Taking taylor expansion of y in z 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.966 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.966 * [taylor]: Taking taylor expansion of z in z 0.969 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.969 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.969 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.969 * [taylor]: Taking taylor expansion of z in y 0.971 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.971 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.972 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.972 * [taylor]: Taking taylor expansion of z in y 0.974 * [taylor]: Taking taylor expansion of 1 in z 0.974 * [taylor]: Taking taylor expansion of 0 in z 0.976 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.976 * [taylor]: Taking taylor expansion of -1/2 in z 0.976 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.976 * [taylor]: Taking taylor expansion of z in z 0.980 * [taylor]: Taking taylor expansion of 0 in z 0.981 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.981 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.981 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.981 * [taylor]: Taking taylor expansion of y in z 0.981 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.981 * [taylor]: Taking taylor expansion of z in z 0.981 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.981 * [taylor]: Taking taylor expansion of z in y 0.981 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.981 * [taylor]: Taking taylor expansion of z in y 0.982 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.982 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.982 * [taylor]: Taking taylor expansion of z in z 0.982 * [taylor]: Taking taylor expansion of 0 in z 0.983 * [taylor]: Taking taylor expansion of 1 in z 0.985 * [taylor]: Taking taylor expansion of 0 in z 0.987 * [taylor]: Taking taylor expansion of 0 in z 0.988 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.988 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.988 * [taylor]: Taking taylor expansion of y in z 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.988 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.988 * [taylor]: Taking taylor expansion of z in z 0.988 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.989 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.989 * [taylor]: Taking taylor expansion of z in y 0.989 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.990 * [taylor]: Taking taylor expansion of z in y 0.990 * [taylor]: Taking taylor expansion of 1 in z 0.991 * [taylor]: Taking taylor expansion of 0 in z 0.992 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.992 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.992 * [taylor]: Taking taylor expansion of z in z 0.995 * [taylor]: Taking taylor expansion of 0 in z 0.998 * [taylor]: Taking taylor expansion of 0 in z 0.999 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.999 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.000 * [taylor]: Taking taylor expansion of y in z 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.000 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.000 * [taylor]: Taking taylor expansion of z in z 1.000 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.001 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.001 * [taylor]: Taking taylor expansion of z in y 1.001 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.002 * [taylor]: Taking taylor expansion of z in y 1.002 * [taylor]: Taking taylor expansion of 1 in z 1.003 * [taylor]: Taking taylor expansion of 0 in z 1.004 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.004 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.004 * [taylor]: Taking taylor expansion of z in z 1.007 * [taylor]: Taking taylor expansion of 0 in z 1.010 * [taylor]: Taking taylor expansion of 0 in z 1.016 * * * [progress]: simplifying candidates 1.017 * [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)) 1.019 * * [simplify]: iteration 0 : 55 enodes (cost 404 ) 1.027 * * [simplify]: iteration 1 : 122 enodes (cost 372 ) 1.050 * * [simplify]: iteration 2 : 418 enodes (cost 320 )