Details

Time bar (total: 10.3s)

sample3.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 42.800903%

Guaranteed chance to sample good point: 74.843942%

Results
12.0ms256×body80valid
2.0ms34×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1337
2427
3447
4447

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b
(+ (* x y) (* x z))
1.4b
(+ (+ (* x y) (* x z)) (* y z))
17.3b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite16.0ms

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)))

series46.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x y) (* x z))
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
33.0ms
(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

prune80.0ms

Filtered
38 candidates to 49 candidates (-28.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh000
Picked011
Done000
Total44650

Merged error: 18.3b

Counts
50 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (+ (* x y) (* x z)) (* y z))
1.4b
(+ (+ (* x y) (* x z)) (* y z))
17.3b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.3b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
34.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
32.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify100.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0193582
1729538
23189532
35003532

prune97.0ms

Filtered
54 candidates to 68 candidates (-25.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New66268
Fresh134
Picked011
Done011
Total67774

Merged error: 18.2b

Counts
74 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (+ (* x y) (* x z)) (* y z))
1.4b
(+ (+ (* x y) (* x z)) (* y z))
17.9b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.9b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (+ (* 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 (78.0ms)

IterNodesCost
0197606
1654552
22812536
35002524

prune113.0ms

Filtered
50 candidates to 64 candidates (-28.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New60464
Fresh134
Picked101
Done112
Total63871

Merged error: 18.2b

Counts
71 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

17.3b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.3b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.9b
(cbrt (* (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))))
17.9b
(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)))
13.0ms
(cbrt (* (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))))
7.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
31.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
58.0ms
(cbrt (* (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))))
55.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0255894
1754856
22666846
35003833

prune104.0ms

Filtered
61 candidates to 72 candidates (-18.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done011
Total72880

Merged error: 18.2b

Counts
80 → 8

regimes628.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample4.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 42.800903%

Guaranteed chance to sample good point: 74.843942%

Results
385.0ms8000×body80valid
54.0ms1204×body80nan

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