0.436 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.032 * * [simplify]: iteration 0 : 8 enodes (cost 10 ) 0.033 * * [simplify]: iteration 1 : 14 enodes (cost 10 ) 0.035 * * [simplify]: iteration 2 : 21 enodes (cost 10 ) 0.038 * * [simplify]: iteration 3 : 36 enodes (cost 10 ) 0.042 * * [simplify]: iteration 4 : 63 enodes (cost 10 ) 0.051 * * [simplify]: iteration 5 : 104 enodes (cost 10 ) 0.071 * * [simplify]: iteration 6 : 168 enodes (cost 10 ) 0.104 * * [simplify]: iteration 7 : 336 enodes (cost 10 ) 0.239 * * [simplify]: iteration 8 : 1657 enodes (cost 10 ) 0.936 * * [simplify]: iteration done : 5001 enodes (cost 10 ) 0.936 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.936 * * [progress]: iteration 1 / 4 0.936 * * * [progress]: picking best candidate 0.938 * * * * [pick]: Picked # 0.938 * * * [progress]: localizing error 0.948 * * * [progress]: generating rewritten candidates 0.948 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.952 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.955 * * * [progress]: generating series expansions 0.955 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.955 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.955 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.955 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.955 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.955 * [taylor]: Taking taylor expansion of y in z 0.955 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.955 * [taylor]: Taking taylor expansion of z in z 0.956 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.956 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 0.956 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.956 * [taylor]: Taking taylor expansion of z in y 0.957 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.957 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.957 * [taylor]: Taking taylor expansion of z in y 0.958 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.958 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.958 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.958 * [taylor]: Taking taylor expansion of z in z 0.961 * [taylor]: Taking taylor expansion of 0 in z 0.963 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.963 * [taylor]: Taking taylor expansion of 1/2 in z 0.963 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.963 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.963 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.963 * [taylor]: Taking taylor expansion of z in z 0.968 * [taylor]: Taking taylor expansion of 0 in z 0.970 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.970 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.970 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.970 * [taylor]: Taking taylor expansion of y in z 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.971 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.971 * [taylor]: Taking taylor expansion of z in z 0.973 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.973 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.974 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.974 * [taylor]: Taking taylor expansion of z in y 0.976 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.977 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.977 * [taylor]: Taking taylor expansion of z in y 0.979 * [taylor]: Taking taylor expansion of 1 in z 0.979 * [taylor]: Taking taylor expansion of 0 in z 0.981 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.981 * [taylor]: Taking taylor expansion of -1/2 in z 0.981 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.981 * [taylor]: Taking taylor expansion of z in z 0.984 * [taylor]: Taking taylor expansion of 0 in z 0.986 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.986 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.986 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.986 * [taylor]: Taking taylor expansion of y in z 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.986 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.986 * [taylor]: Taking taylor expansion of z in z 0.989 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 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 0.989 * [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 0.991 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.991 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.992 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.992 * [taylor]: Taking taylor expansion of z in y 0.994 * [taylor]: Taking taylor expansion of 1 in z 0.994 * [taylor]: Taking taylor expansion of 0 in z 0.996 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.996 * [taylor]: Taking taylor expansion of -1/2 in z 0.996 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.996 * [taylor]: Taking taylor expansion of z in z 0.999 * [taylor]: Taking taylor expansion of 0 in z 1.001 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 1.001 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 1.001 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.001 * [taylor]: Taking taylor expansion of y in z 1.001 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.001 * [taylor]: Taking taylor expansion of z in z 1.001 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 1.001 * [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 (- (pow y 2) (pow z 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 1.001 * [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 (- (pow z 2)) in z 1.001 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.001 * [taylor]: Taking taylor expansion of z in z 1.002 * [taylor]: Taking taylor expansion of 0 in z 1.003 * [taylor]: Taking taylor expansion of 1 in z 1.005 * [taylor]: Taking taylor expansion of 0 in z 1.007 * [taylor]: Taking taylor expansion of 0 in z 1.007 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 1.007 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.007 * [taylor]: Taking taylor expansion of y in z 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.008 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.008 * [taylor]: Taking taylor expansion of z in z 1.008 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.009 * [taylor]: Taking taylor expansion of z in y 1.009 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.009 * [taylor]: Taking taylor expansion of z in y 1.010 * [taylor]: Taking taylor expansion of 1 in z 1.011 * [taylor]: Taking taylor expansion of 0 in z 1.012 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.012 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.012 * [taylor]: Taking taylor expansion of z in z 1.014 * [taylor]: Taking taylor expansion of 0 in z 1.018 * [taylor]: Taking taylor expansion of 0 in z 1.020 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 1.020 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.020 * [taylor]: Taking taylor expansion of y in z 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.020 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.020 * [taylor]: Taking taylor expansion of z in z 1.020 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.021 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.021 * [taylor]: Taking taylor expansion of z in y 1.021 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.022 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.022 * [taylor]: Taking taylor expansion of z in y 1.022 * [taylor]: Taking taylor expansion of 1 in z 1.023 * [taylor]: Taking taylor expansion of 0 in z 1.024 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.024 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.024 * [taylor]: Taking taylor expansion of z in z 1.032 * [taylor]: Taking taylor expansion of 0 in z 1.035 * [taylor]: Taking taylor expansion of 0 in z 1.037 * * * [progress]: simplifying candidates 1.037 * [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)) 1.039 * * [simplify]: iteration 0 : 55 enodes (cost 404 ) 1.048 * * [simplify]: iteration 1 : 122 enodes (cost 372 ) 1.071 * * [simplify]: iteration 2 : 418 enodes (cost 320 )