Details

Time bar (total: 1.0s)

sample31.0ms

Algorithm
intervals
Results
8.0ms334×body80valid
7.0ms320×body80nan

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.6b
(- (* y y) (* z z))
24.9b
(sqrt (- (* y y) (* z z)))

rewrite19.0ms

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
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
11.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* x (sqrt (- (* y y) (* z z))))
29.0ms
(- (* y y) (* z z))
46.0ms
(sqrt (- (* y y) (* z z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune153.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (fma y y (- (* z z)))))
2.0b
(fma y y (- (* z z)))
24.9b
(sqrt (fma y y (- (* z z))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity sqrt-prod
pow1 associate-*r*
add-exp-log add-cbrt-cube
expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef
Counts
3 → 49
Calls
3 calls:
4.0ms
(* x (sqrt (fma y y (- (* z z)))))
0.0ms
(fma y y (- (* z z)))
1.0ms
(sqrt (fma y y (- (* z z))))

series166.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* x (sqrt (fma y y (- (* z z)))))
38.0ms
(fma y y (- (* z z)))
56.0ms
(sqrt (fma y y (- (* z z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0118308
1396288
21682285
35001285

prune116.0ms

Filtered
58 candidates to 41 candidates (70.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune5.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes161.0ms

bsearch11.0ms