Details

Time bar (total: 8.4s)

sample43.0ms

Algorithm
intervals
Results
12.0ms362×body80nan
11.0ms332×body80valid

simplify8.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08203
114203
221203
336203
461203
5132203
6204203
7370203
81155203
94530203
done5000203

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.4b
(- (* y y) (* z z))
24.4b
(sqrt (- (* y y) (* z z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
*-un-lft-identity associate-*r* add-cube-cbrt
pow1
add-cbrt-cube add-exp-log add-log-exp
sqrt-div
flip3-- associate-*l* flip-- difference-of-squares
associate-*r/ unswap-sqr
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 54
Calls
3 calls:
21.0ms
(* x (sqrt (- (* y y) (* z z))))
11.0ms
(- (* y y) (* z z))
13.0ms
(sqrt (- (* y y) (* z z)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* x (sqrt (- (* y y) (* z z))))
36.0ms
(- (* y y) (* z z))
54.0ms
(sqrt (- (* y y) (* z z)))

simplify38.0ms

Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
08515908