Details

Time bar (total: 2.8s)

analyze459.0ms

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

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
2.0ms47×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03712
13712

prune9.0ms

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: 19.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b
(+ (+ (* x y) (* x z)) (* y z))
0.4b
(+ (* x y) (* x z))
18.2b
(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:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
4.0ms
(+ (* x y) (* x z))
6.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series49.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
6.0ms
(+ (* x y) (* x z))
36.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05395579

prune79.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550

Merged error: 19.3b

Counts
50 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* x y) (* z (+ x y)))
0.8b
(+ (* x y) (* z (+ x y)))
18.2b
(sqrt (+ (* x y) (* z (+ x y))))
18.2b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite18.0ms

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))))

series77.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (* z (+ x y)))
9.0ms
(+ (* x y) (* z (+ x y)))
30.0ms
(sqrt (+ (* x y) (* z (+ x y))))
30.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05303916

prune91.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh123
Picked011
Done011
Total68573

Merged error: 19.3b

Counts
73 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

18.2b
(sqrt (+ (* x y) (* z (+ x y))))
18.8b
(cbrt (+ (* x y) (* z (+ x y))))
18.8b
(cbrt (+ (* x y) (* z (+ x y))))
18.8b
(cbrt (+ (* x y) (* z (+ x y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))
4.0ms
(cbrt (+ (* x y) (* z (+ x y))))
6.0ms
(cbrt (+ (* x y) (* z (+ x y))))
4.0ms
(cbrt (+ (* x y) (* z (+ x y))))

series194.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))
53.0ms
(cbrt (+ (* x y) (* z (+ x y))))
55.0ms
(cbrt (+ (* x y) (* z (+ x y))))
54.0ms
(cbrt (+ (* x y) (* z (+ x y))))

simplify29.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05275993

prune109.0ms

Filtered
60 candidates to 66 candidates (-10.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done022
Total66571

Merged error: 19.3b

Counts
71 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* x y) (* z (+ x y)))
18.2b
(sqrt (+ (* x y) (* z (+ x y))))
18.2b
(sqrt (+ (* x y) (* z (+ x y))))
18.2b
(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))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (* z (+ x y)))
31.0ms
(sqrt (+ (* x y) (* z (+ x y))))
33.0ms
(sqrt (+ (* x y) (* z (+ x y))))
31.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05303988

prune85.0ms

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

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done033
Total70575

Merged error: 19.3b

Counts
75 → 5

regimes366.0ms

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
01714
11714

end0.0ms

sample872.0ms

Algorithm
intervals
Results
366.0ms8000×body80valid
299.0ms2252×body80nan

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