0.738 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.033 * [progress]: [Phase 2 of 3] Improving.
0.033 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (* x (sqrt (- (* y y) (* z z))))
0.034 * * [simplify]: iteration  0 :  8  enodes  (cost  10 )
0.035 * * [simplify]: iteration  1 :  15  enodes  (cost  10 )
0.037 * * [simplify]: iteration  2 :  22  enodes  (cost  10 )
0.040 * * [simplify]: iteration  3 :  39  enodes  (cost  10 )
0.051 * * [simplify]: iteration  4 :  73  enodes  (cost  10 )
0.062 * * [simplify]: iteration  5 :  130  enodes  (cost  10 )
0.083 * * [simplify]: iteration  6 :  240  enodes  (cost  10 )
0.125 * * [simplify]: iteration  7 :  462  enodes  (cost  10 )
0.498 * * [simplify]: iteration  8 :  1976  enodes  (cost  10 )
1.267 * * [simplify]: iteration  done :  5000  enodes  (cost  10 )
1.267 * [simplify]: Simplified to:
   (* x (sqrt (- (* y y) (* z z))))
1.267 * * [progress]: iteration 1 / 4
1.267 * * * [progress]: picking best candidate
1.270 * * * * [pick]: Picked  #<alt (λ (x y z) (* x (sqrt (- (* y y) (* z z)))))>
1.270 * * * [progress]: localizing error
1.277 * * * [progress]: generating rewritten candidates
1.277 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
1.282 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1)
1.285 * * * [progress]: generating series expansions
1.285 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
1.286 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0
1.286 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z
1.286 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z
1.286 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.286 * [taylor]: Taking taylor expansion of y in z
1.286 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.286 * [taylor]: Taking taylor expansion of z in z
1.287 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y
1.287 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y
1.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.287 * [taylor]: Taking taylor expansion of y in y
1.287 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.287 * [taylor]: Taking taylor expansion of z in y
1.288 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y
1.288 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y
1.288 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.288 * [taylor]: Taking taylor expansion of y in y
1.288 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.288 * [taylor]: Taking taylor expansion of z in y
1.289 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z
1.289 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z
1.289 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.289 * [taylor]: Taking taylor expansion of z in z
1.292 * [taylor]: Taking taylor expansion of 0 in z
1.294 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z
1.294 * [taylor]: Taking taylor expansion of 1/2 in z
1.294 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z
1.294 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z
1.294 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.294 * [taylor]: Taking taylor expansion of z in z
1.300 * [taylor]: Taking taylor expansion of 0 in z
1.303 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0
1.303 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z
1.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.303 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.303 * [taylor]: Taking taylor expansion of y in z
1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.303 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.303 * [taylor]: Taking taylor expansion of z in z
1.307 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.307 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.307 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.307 * [taylor]: Taking taylor expansion of y in y
1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.307 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.307 * [taylor]: Taking taylor expansion of z in y
1.310 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.310 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.310 * [taylor]: Taking taylor expansion of y in y
1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.310 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.310 * [taylor]: Taking taylor expansion of z in y
1.316 * [taylor]: Taking taylor expansion of 1 in z
1.316 * [taylor]: Taking taylor expansion of 0 in z
1.319 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z
1.319 * [taylor]: Taking taylor expansion of -1/2 in z
1.319 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.319 * [taylor]: Taking taylor expansion of z in z
1.323 * [taylor]: Taking taylor expansion of 0 in z
1.325 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0
1.325 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z
1.325 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.325 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.325 * [taylor]: Taking taylor expansion of y in z
1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.325 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.325 * [taylor]: Taking taylor expansion of z in z
1.328 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.328 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.328 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.328 * [taylor]: Taking taylor expansion of y in y
1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.329 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.329 * [taylor]: Taking taylor expansion of z in y
1.331 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.331 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.331 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.331 * [taylor]: Taking taylor expansion of y in y
1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.331 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.331 * [taylor]: Taking taylor expansion of z in y
1.334 * [taylor]: Taking taylor expansion of 1 in z
1.334 * [taylor]: Taking taylor expansion of 0 in z
1.336 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z
1.336 * [taylor]: Taking taylor expansion of -1/2 in z
1.336 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.336 * [taylor]: Taking taylor expansion of z in z
1.340 * [taylor]: Taking taylor expansion of 0 in z
1.341 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1)
1.341 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0
1.341 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z
1.341 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.342 * [taylor]: Taking taylor expansion of y in z
1.342 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.342 * [taylor]: Taking taylor expansion of z in z
1.342 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y
1.342 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.342 * [taylor]: Taking taylor expansion of y in y
1.342 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.342 * [taylor]: Taking taylor expansion of z in y
1.342 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y
1.342 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.342 * [taylor]: Taking taylor expansion of y in y
1.342 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.342 * [taylor]: Taking taylor expansion of z in y
1.342 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z
1.342 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.342 * [taylor]: Taking taylor expansion of z in z
1.343 * [taylor]: Taking taylor expansion of 0 in z
1.344 * [taylor]: Taking taylor expansion of 1 in z
1.346 * [taylor]: Taking taylor expansion of 0 in z
1.349 * [taylor]: Taking taylor expansion of 0 in z
1.349 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0
1.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.349 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.349 * [taylor]: Taking taylor expansion of y in z
1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.350 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.350 * [taylor]: Taking taylor expansion of z in z
1.350 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.350 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.350 * [taylor]: Taking taylor expansion of y in y
1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.351 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.351 * [taylor]: Taking taylor expansion of z in y
1.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.351 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.351 * [taylor]: Taking taylor expansion of y in y
1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.352 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.352 * [taylor]: Taking taylor expansion of z in y
1.352 * [taylor]: Taking taylor expansion of 1 in z
1.353 * [taylor]: Taking taylor expansion of 0 in z
1.355 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z
1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.355 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.355 * [taylor]: Taking taylor expansion of z in z
1.358 * [taylor]: Taking taylor expansion of 0 in z
1.362 * [taylor]: Taking taylor expansion of 0 in z
1.364 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0
1.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z
1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.364 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.364 * [taylor]: Taking taylor expansion of y in z
1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.364 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.364 * [taylor]: Taking taylor expansion of z in z
1.365 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.365 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.365 * [taylor]: Taking taylor expansion of y in y
1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.365 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.365 * [taylor]: Taking taylor expansion of z in y
1.365 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.366 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.366 * [taylor]: Taking taylor expansion of y in y
1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.366 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.366 * [taylor]: Taking taylor expansion of z in y
1.367 * [taylor]: Taking taylor expansion of 1 in z
1.368 * [taylor]: Taking taylor expansion of 0 in z
1.369 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z
1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.369 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.369 * [taylor]: Taking taylor expansion of z in z
1.372 * [taylor]: Taking taylor expansion of 0 in z
1.376 * [taylor]: Taking taylor expansion of 0 in z
1.378 * * * [progress]: simplifying candidates
1.378 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (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))
1.380 * * [simplify]: iteration  0 :  62  enodes  (cost  456 )
1.391 * * [simplify]: iteration  1 :  136  enodes  (cost  412 )
1.422 * * [simplify]: iteration  2 :  466  enodes  (cost  361 )