0.502 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.038 * * [simplify]: iteration 0 : 8 enodes (cost 10 ) 0.039 * * [simplify]: iteration 1 : 15 enodes (cost 10 ) 0.041 * * [simplify]: iteration 2 : 22 enodes (cost 10 ) 0.043 * * [simplify]: iteration 3 : 39 enodes (cost 10 ) 0.048 * * [simplify]: iteration 4 : 73 enodes (cost 10 ) 0.058 * * [simplify]: iteration 5 : 130 enodes (cost 10 ) 0.079 * * [simplify]: iteration 6 : 240 enodes (cost 10 ) 0.120 * * [simplify]: iteration 7 : 462 enodes (cost 10 ) 0.253 * * [simplify]: iteration 8 : 1976 enodes (cost 10 ) 0.977 * * [simplify]: iteration done : 5000 enodes (cost 10 ) 0.978 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.978 * * [progress]: iteration 1 / 4 0.978 * * * [progress]: picking best candidate 0.980 * * * * [pick]: Picked # 0.980 * * * [progress]: localizing error 0.987 * * * [progress]: generating rewritten candidates 0.987 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.992 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.999 * * * [progress]: generating series expansions 0.999 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.999 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.999 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.999 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.999 * [taylor]: Taking taylor expansion of y in z 0.999 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.999 * [taylor]: Taking taylor expansion of z in z 1.000 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 1.000 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 1.000 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.000 * [taylor]: Taking taylor expansion of z in y 1.001 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) 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 1.002 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 1.002 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 1.002 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.002 * [taylor]: Taking taylor expansion of z in z 1.004 * [taylor]: Taking taylor expansion of 0 in z 1.006 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 1.006 * [taylor]: Taking taylor expansion of 1/2 in z 1.006 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 1.006 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 1.006 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.006 * [taylor]: Taking taylor expansion of z in z 1.011 * [taylor]: Taking taylor expansion of 0 in z 1.014 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 1.014 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 1.014 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.014 * [taylor]: Taking taylor expansion of y in z 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.014 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.014 * [taylor]: Taking taylor expansion of z in z 1.017 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 1.017 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.018 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.018 * [taylor]: Taking taylor expansion of z in y 1.020 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 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 1.023 * [taylor]: Taking taylor expansion of 1 in z 1.023 * [taylor]: Taking taylor expansion of 0 in z 1.025 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 1.025 * [taylor]: Taking taylor expansion of -1/2 in z 1.025 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.025 * [taylor]: Taking taylor expansion of z in z 1.029 * [taylor]: Taking taylor expansion of 0 in z 1.031 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 1.031 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 1.031 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.031 * [taylor]: Taking taylor expansion of y in z 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.031 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.031 * [taylor]: Taking taylor expansion of z in z 1.034 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 1.034 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.035 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.035 * [taylor]: Taking taylor expansion of z in y 1.037 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 1.037 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.037 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.037 * [taylor]: Taking taylor expansion of z in y 1.039 * [taylor]: Taking taylor expansion of 1 in z 1.040 * [taylor]: Taking taylor expansion of 0 in z 1.042 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 1.042 * [taylor]: Taking taylor expansion of -1/2 in z 1.042 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.042 * [taylor]: Taking taylor expansion of z in z 1.045 * [taylor]: Taking taylor expansion of 0 in z 1.047 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 1.047 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 1.047 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.047 * [taylor]: Taking taylor expansion of y in z 1.047 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.047 * [taylor]: Taking taylor expansion of z in z 1.047 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.047 * [taylor]: Taking taylor expansion of z in y 1.047 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.047 * [taylor]: Taking taylor expansion of z in y 1.047 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 1.047 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.047 * [taylor]: Taking taylor expansion of z in z 1.048 * [taylor]: Taking taylor expansion of 0 in z 1.049 * [taylor]: Taking taylor expansion of 1 in z 1.051 * [taylor]: Taking taylor expansion of 0 in z 1.053 * [taylor]: Taking taylor expansion of 0 in z 1.054 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 1.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.054 * [taylor]: Taking taylor expansion of y in z 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.054 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.054 * [taylor]: Taking taylor expansion of z in z 1.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.055 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.055 * [taylor]: Taking taylor expansion of z in y 1.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.056 * [taylor]: Taking taylor expansion of z in y 1.056 * [taylor]: Taking taylor expansion of 1 in z 1.057 * [taylor]: Taking taylor expansion of 0 in z 1.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.059 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.059 * [taylor]: Taking taylor expansion of z in z 1.061 * [taylor]: Taking taylor expansion of 0 in z 1.064 * [taylor]: Taking taylor expansion of 0 in z 1.066 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 1.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.066 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.066 * [taylor]: Taking taylor expansion of y in z 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.067 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.067 * [taylor]: Taking taylor expansion of z in z 1.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.067 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.068 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.068 * [taylor]: Taking taylor expansion of z in y 1.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.068 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.068 * [taylor]: Taking taylor expansion of z in y 1.069 * [taylor]: Taking taylor expansion of 1 in z 1.070 * [taylor]: Taking taylor expansion of 0 in z 1.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.071 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.071 * [taylor]: Taking taylor expansion of z in z 1.074 * [taylor]: Taking taylor expansion of 0 in z 1.077 * [taylor]: Taking taylor expansion of 0 in z 1.079 * * * [progress]: simplifying candidates 1.080 * [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)) 1.082 * * [simplify]: iteration 0 : 62 enodes (cost 456 ) 1.095 * * [simplify]: iteration 1 : 136 enodes (cost 412 ) 1.120 * * [simplify]: iteration 2 : 466 enodes (cost 361 )