Details

Time bar (total: 2.6s)

analyze424.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
12.5%87.4%0.1%7
15.6%84.3%0.1%8
18.7%71.8%9.5%9
23.4%56%20.6%10
26.3%52.2%21.5%11
31%40.1%28.9%12
35.6%28.9%35.5%13
36.8%27.5%35.7%14

sample25.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms68×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07112
17112

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 19.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* x z))
1.4b
(+ (+ (* x y) (* x z)) (* y z))
18.5b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite17.0ms

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:
4.0ms
(+ (* x y) (* x z))
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
6.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x y) (* x z))
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
30.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
06504587

prune92.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New43649
Fresh000
Picked011
Done000
Total43750

Merged error: 18.5b

Counts
50 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* x y) (* z (+ x y)))
1.0b
(+ (* x y) (* z (+ x y)))
18.5b
(sqrt (+ (* x y) (* z (+ x y))))
18.5b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log associate-+r+ flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 56
Calls
4 calls:
4.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))

series75.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x y) (* z (+ x y)))
6.0ms
(+ (* x y) (* z (+ x y)))
30.0ms
(sqrt (+ (* x y) (* z (+ x y))))
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05030924

prune104.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh055
Picked011
Done011
Total68775

Merged error: 18.5b

Counts
75 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

15.2b
(cbrt (* x (+ y z)))
15.2b
(cbrt (* x (+ y z)))
15.2b
(cbrt (* x (+ y z)))
18.5b
(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt cbrt-div associate-*r/
5×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×cbrt-prod pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 48
Calls
4 calls:
4.0ms
(cbrt (* x (+ y z)))
4.0ms
(cbrt (* x (+ y z)))
4.0ms
(cbrt (* x (+ y z)))
17.0ms
(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

series117.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (* x (+ y z)))
29.0ms
(cbrt (* x (+ y z)))
27.0ms
(cbrt (* x (+ y z)))
33.0ms
(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04903596
14903596

prune101.0ms

Filtered
55 candidates to 60 candidates (-9.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done022
Total60767

Merged error: 18.5b

Counts
67 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* x y) (* z (+ x y)))
18.5b
(sqrt (+ (* x y) (* z (+ x y))))
18.5b
(sqrt (+ (* x y) (* z (+ x y))))
18.5b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div add-log-exp
4×add-exp-log flip3-+ add-cbrt-cube flip-+
3×rem-sqrt-square sqrt-pow1 pow1/2
2×associate-+r+
1×+-commutative distribute-rgt-in distribute-lft-in sum-log
Counts
4 → 58
Calls
4 calls:
4.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (* z (+ x y)))
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))
30.0ms
(sqrt (+ (* x y) (* z (+ x y))))
33.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050301000

prune94.0ms

Filtered
57 candidates to 70 candidates (-22.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done033
Total70777

Merged error: 18.5b

Counts
77 → 7

regimes386.0ms

Accuracy

0% (1.0b remaining)

Error of 19.3b against oracle of 18.3b and baseline of 19.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04514
14514

end0.0ms

sample678.0ms

Algorithm
intervals
Results
353.0ms8000×body80valid
108.0ms2339×body80nan

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