Details

Time bar (total: 15.8s)

sample56.0ms

Algorithm
intervals
Results
13.0ms345×body80nan
12.0ms328×body80valid

simplify15.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22110
33610
46210
513310
619110
737310
8154110
done500010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.0b
(- (* y y) (* z z))
25.7b
(sqrt (- (* y y) (* z z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
add-cube-cbrt *-un-lft-identity associate-*r*
pow1
add-exp-log add-cbrt-cube add-log-exp
sqrt-div
flip3-- associate-*l* flip-- difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 54
Calls
3 calls:
36.0ms
(* x (sqrt (- (* y y) (* z z))))
8.0ms
(- (* y y) (* z z))
10.0ms
(sqrt (- (* y y) (* z z)))

series0.0ms