Details

Time bar (total: 4.5s)

sample49.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
13.0ms216×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1447
2637
3707
4717
5717

prune2.0ms

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: 17.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b
(+ (* x y) (* x z))
1.6b
(+ (+ (* x y) (* x z)) (* y z))
16.9b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
6×add-sqr-sqrt
5×add-cube-cbrt fma-def *-un-lft-identity
4×pow1 sum-log
3×add-exp-log expm1-log1p-u flip3-+ sqrt-prod add-cbrt-cube flip-+ log1p-expm1-u
2×+-commutative sqrt-div distribute-lft-out
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
3 → 51
Calls
3 calls:
4.0ms
(+ (* x y) (* x z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* x y) (* x z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
109.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify121.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0270383
11009344
24339335
35001334

prune150.0ms

Filtered
60 candidates to 48 candidates (80.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh000
Picked011
Done000
Total54761

Merged error: 17.8b

Counts
61 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (+ (* x y) (* x z)) (* y z))
1.6b
(+ (+ (* x y) (* x z)) (* y z))
16.9b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.9b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
10×add-sqr-sqrt
8×add-cube-cbrt fma-def *-un-lft-identity
6×pow1 sum-log sqrt-prod
4×add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
2×+-commutative rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
4 → 72
Calls
4 calls:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
108.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
103.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify97.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0200618
1734550
23300534
35001532

prune265.0ms

Filtered
84 candidates to 68 candidates (81.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New82284
Fresh145
Picked101
Done011
Total84791

Merged error: 17.8b

Counts
91 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (+ (* x y) (* x z)) (* y z))
16.9b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.4b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.4b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-log-exp
8×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1
4×add-exp-log expm1-log1p-u cbrt-div fma-def flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
3×sum-log sqrt-prod
2×pow1/3 sqrt-div
1×+-commutative rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
4 → 66
Calls
4 calls:
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series719.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
286.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
207.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
206.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify103.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0274687
1888627
23686599
35001598

prune364.0ms

Filtered
78 candidates to 69 candidates (88.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh055
Picked011
Done011
Total76985

Merged error: 17.8b

Counts
85 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (+ (* x y) (* x z)) (* y z))
1.6b
(+ (+ (* x y) (* x z)) (* y z))
17.4b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.4b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
8×add-sqr-sqrt add-cube-cbrt fma-def *-un-lft-identity
6×cbrt-prod sum-log
4×pow1 add-exp-log expm1-log1p-u cbrt-div flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×+-commutative associate-+l+ pow1/3 distribute-lft-out
Counts
4 → 68
Calls
4 calls:
11.0ms
(+ (+ (* x y) (* x z)) (* y z))
14.0ms
(+ (+ (* x y) (* x z)) (* y z))
8.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
9.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (+ (* x y) (* x z)) (* y z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
193.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
216.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0208636
1684580
22983550
35001548

prune267.0ms

Filtered
80 candidates to 70 candidates (87.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New75580
Fresh516
Picked011
Done112
Total81889

Merged error: 17.7b

Counts
89 → 8

regimes231.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.8b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.0s

Algorithm
intervals
Results
346.0ms8000×body80valid
340.0ms8043×body80nan

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