Details

Time bar (total: 1.3s)

sample32.0ms

Algorithm
intervals
Results
9.0ms317×body80valid
7.0ms276×body80nan

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
26.0b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

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:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
4.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* x (sqrt (- (* y y) (* z z))))
35.0ms
(- (* y y) (* z z))
57.0ms
(sqrt (- (* y y) (* z z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune192.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New67471
Fresh000
Picked101
Done000
Total68472

Merged error: 0.4b

Counts
72 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (fma y y (- (* z z)))))
2.5b
(fma y y (- (* z z)))
26.0b
(sqrt (fma y y (- (* z z))))

rewrite9.0ms

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:
5.0ms
(* x (sqrt (fma y y (- (* z z)))))
1.0ms
(fma y y (- (* z z)))
2.0ms
(sqrt (fma y y (- (* z z))))

series200.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* x (sqrt (fma y y (- (* z z)))))
47.0ms
(fma y y (- (* z z)))
65.0ms
(sqrt (fma y y (- (* z z))))

simplify63.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0118308
1396288
21682285
35001285

prune147.0ms

Filtered
58 candidates to 41 candidates (70.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58058
Fresh033
Picked011
Done000
Total58462

Merged error: 0.4b

Counts
62 → 4

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.4b

Counts
4 → 4

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.4b

Counts
4 → 4

regimes129.0ms

bsearch35.0ms