Details

Time bar (total: 11.5s)

sample48.0ms

Algorithm
intervals
Results
13.0ms362×body80nan
12.0ms332×body80valid

simplify11.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08203
115203
222203
339203
470203
5163203
6289203
7522203
81408203
94727203
done5000203

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize15.0ms

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)))

rewrite63.0ms

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
expm1-log1p-u flip3-- associate-*l* log1p-expm1-u flip-- difference-of-squares
associate-*r/ unswap-sqr
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
45.0ms
(* x (sqrt (- (* y y) (* z z))))
7.0ms
(- (* y y) (* z z))
8.0ms
(sqrt (- (* y y) (* z z)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(* x (sqrt (- (* y y) (* z z))))
55.0ms
(- (* y y) (* z z))
61.0ms
(sqrt (- (* y y) (* z z)))

simplify82.0ms

Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
09417716