Details

Time bar (total: 4.0s)

sample44.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
10.0ms257×body80nan

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1337
2427
3447
4447

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.6b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

1.0b
(+ (* x y) (* x z))
1.2b
(+ (+ (* x y) (* x z)) (* y z))
16.6b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity sum-log
3×add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 40
Calls
3 calls:
3.0ms
(+ (* x y) (* x z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series47.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x y) (* x z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
34.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify121.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0256358
1972331
23980326
35002326

prune212.0ms

Filtered
49 candidates to 38 candidates (22.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh000
Picked011
Done000
Total44650

Merged error: 17.5b

Counts
50 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (+ (* x y) (* x z)) (* y z))
1.2b
(+ (+ (* x y) (* x z)) (* y z))
16.6b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.6b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity sum-log sqrt-prod
4×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
4 → 56
Calls
4 calls:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
7.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (+ (* x y) (* x z)) (* y z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
31.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
31.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0193584
1723540
23165534
35001534

prune304.0ms

Filtered
68 candidates to 56 candidates (17.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done011
Total68674

Merged error: 17.5b

Counts
74 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (+ (* x y) (* x z)) (* y z))
1.2b
(+ (+ (* x y) (* x z)) (* y z))
17.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity sum-log
4×pow1 add-exp-log cbrt-div flip3-+ add-cbrt-cube flip-+
2×+-commutative associate-+l+ pow1/3
Counts
4 → 52
Calls
4 calls:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
56.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
54.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0197606
1654552
22812536
35002524

prune315.0ms

Filtered
64 candidates to 50 candidates (21.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh033
Picked011
Done112
Total64670

Merged error: 17.5b

Counts
70 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

16.6b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.6b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b
(cbrt (* (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))))
17.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
10×cbrt-div
9×add-sqr-sqrt flip3-+ flip-+
7×add-cube-cbrt *-un-lft-identity
6×pow1 sqrt-prod
4×add-exp-log cbrt-prod frac-times add-cbrt-cube add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 associate-*r/ associate-*l/
Counts
4 → 60
Calls
4 calls:
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.0ms
(cbrt (* (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
31.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
56.0ms
(cbrt (* (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))))
54.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0255894
1754856
22666846
35003835

prune548.0ms

Filtered
72 candidates to 62 candidates (13.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh033
Picked011
Done022
Total72678

Merged error: 17.5b

Counts
78 → 6

regimes469.0ms

Accuracy

0% (0.1b remaining)

Error of 20.3b against oracle of 20.3b and baseline of 20.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.2s

Algorithm
intervals
Results
340.0ms8000×body80valid
315.0ms7874×body80nan

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