Details

Time bar (total: 2.7s)

analyze442.0ms

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
3.0ms76×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03712
13712

prune8.0ms

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: 22.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b
(+ (* x y) (* x z))
1.2b
(+ (+ (* x y) (* x z)) (* y z))
21.1b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt
pow1 add-cube-cbrt *-un-lft-identity sum-log
add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
+-commutative sqrt-div
rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 40
Calls
3 calls:
4.0ms
(+ (* x y) (* x z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
7.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series49.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* x y) (* x z))
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
35.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05395579

prune75.0ms

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: 22.3b

Counts
50 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* x y) (* z (+ x y)))
1.2b
(+ (* x y) (* z (+ x y)))
21.1b
(sqrt (+ (* x y) (* z (+ x y))))
21.1b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log associate-+r+ flip3-+ sqrt-div add-cbrt-cube flip-+
+-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)))
6.0ms
(+ (* 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)))
7.0ms
(+ (* x y) (* z (+ x y)))
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05303916

prune93.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh033
Picked011
Done011
Total67673

Merged error: 22.3b

Counts
73 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* x y) (* z (+ x y)))
21.1b
(sqrt (+ (* x y) (* z (+ x y))))
21.8b
(cbrt (+ (* x y) (* z (+ x y))))
21.8b
(cbrt (+ (* x y) (* z (+ x y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
cbrt-prod add-log-exp
pow1
add-exp-log cbrt-div flip3-+ add-cbrt-cube flip-+
sqrt-prod
associate-+r+ pow1/3 sqrt-div
+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 54
Calls
4 calls:
6.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))
4.0ms
(cbrt (+ (* x y) (* z (+ x y))))
4.0ms
(cbrt (+ (* x y) (* z (+ x y))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (* z (+ x y)))
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))
61.0ms
(cbrt (+ (* x y) (* z (+ x y))))
59.0ms
(cbrt (+ (* x y) (* z (+ x y))))

simplify32.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
04999939
14999939

prune111.0ms

Filtered
57 candidates to 66 candidates (-15.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh033
Picked011
Done112
Total66672

Merged error: 22.3b

Counts
72 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

21.1b
(sqrt (* (* (cbrt (+ (* x y) (* z (+ x y)))) (cbrt (+ (* x y) (* z (+ x y))))) (cbrt (+ (* x y) (* z (+ x y))))))
21.8b
(cbrt (+ (* x y) (* z (+ x y))))
21.8b
(cbrt (+ (* x y) (* z (+ x y))))
21.8b
(cbrt (+ (* x y) (* z (+ x y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
cbrt-prod pow-prod-up
associate-*r/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow-plus
pow-prod-down
add-exp-log add-cbrt-cube add-log-exp
pow-sqr
pow2
pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
16.0ms
(sqrt (* (* (cbrt (+ (* x y) (* z (+ x y)))) (cbrt (+ (* x y) (* z (+ x y))))) (cbrt (+ (* x y) (* z (+ x y))))))
5.0ms
(cbrt (+ (* x y) (* z (+ x y))))
4.0ms
(cbrt (+ (* x y) (* z (+ x y))))
4.0ms
(cbrt (+ (* x y) (* z (+ x y))))

series213.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (* (* (cbrt (+ (* x y) (* z (+ x y)))) (cbrt (+ (* x y) (* z (+ x y))))) (cbrt (+ (* x y) (* z (+ x y))))))
61.0ms
(cbrt (+ (* x y) (* z (+ x y))))
62.0ms
(cbrt (+ (* x y) (* z (+ x y))))
58.0ms
(cbrt (+ (* x y) (* z (+ x y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
053132858

prune101.0ms

Filtered
68 candidates to 101 candidates (-48.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh123
Picked101
Done022
Total1016107

Merged error: 22.3b

Counts
107 → 6

regimes370.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01714
11714

end0.0ms

sample673.0ms

Algorithm
intervals
Results
353.0ms8000×body80valid
101.0ms2316×body80nan
0.0msbody80invalid

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