Details

Time bar (total: 4.6s)

sample51.0ms

Algorithm
intervals
Results
15.0ms276×body80nan
15.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1337
2427
3447
4447

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b
(+ (* x y) (* x z))
1.4b
(+ (+ (* x y) (* x z)) (* y z))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite18.0ms

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))
9.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* x y) (* x z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
107.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify114.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0249355
1908322
23660314
35001314

prune117.0ms

Filtered
49 candidates to 37 candidates (75.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh000
Picked011
Done000
Total44650

Merged error: 20.0b

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))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.0b
(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)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (+ (* x y) (* x z)) (* y z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
107.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
105.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0186576
1666520
22872508
35001508

prune195.0ms

Filtered
68 candidates to 52 candidates (76.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh134
Picked011
Done011
Total68674

Merged error: 20.0b

Counts
74 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (+ (* x y) (* x z)) (* y z))
19.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.6b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.6b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1
4×add-exp-log cbrt-div flip3-+ add-cbrt-cube flip-+
3×sum-log sqrt-prod
2×pow1/3 sqrt-div
1×+-commutative rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
107.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
202.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
207.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0258638
1812584
23241560
35002555

prune289.0ms

Filtered
66 candidates to 56 candidates (84.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New64266
Fresh033
Picked101
Done022
Total65772

Merged error: 20.0b

Counts
72 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

19.6b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.6b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.6b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.6b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series849.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
211.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
215.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
212.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0152700
1460648
21660612
35001604

prune362.0ms

Filtered
64 candidates to 64 candidates (100.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh044
Picked011
Done022
Total64771

Merged error: 20.0b

Counts
71 → 7

regimes215.0ms

Accuracy

0% (0.1b remaining)

Error of 19.2b against oracle of 19.1b and baseline of 19.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample994.0ms

Algorithm
intervals
Results
333.0ms8122×body80nan
331.0ms8000×body80valid

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