Details

Time bar (total: 4.1s)

sample42.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms233×body80nan

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1337
2427
3447
4447

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.5b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b
(+ (* x y) (* x z))
1.6b
(+ (+ (* x y) (* x z)) (* y z))
19.5b
(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:
4.0ms
(+ (* x y) (* x z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(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)))

simplify119.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0256358
1972331
23980326
35002326

prune202.0ms

Filtered
49 candidates to 38 candidates (22.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450

Merged error: 20.5b

Counts
50 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (+ (* x y) (* x z)) (* y z))
1.6b
(+ (+ (* x y) (* x z)) (* y z))
20.0b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite25.0ms

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:
6.0ms
(+ (+ (* 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)))

simplify83.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0197606
1654552
22812536
35002524

prune309.0ms

Filtered
64 candidates to 50 candidates (21.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New62264
Fresh112
Picked011
Done011
Total63568

Merged error: 20.5b

Counts
68 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (+ (* x y) (* x z)) (* y z))
19.5b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.5b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity
6×pow1 sqrt-prod
4×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
3×cbrt-prod sum-log
2×rem-sqrt-square cbrt-div sqrt-pow1 pow1/2
1×+-commutative associate-+l+ pow1/3
Counts
4 → 56
Calls
4 calls:
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)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
33.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
32.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
57.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0265641
1904601
23752593
35001587

prune550.0ms

Filtered
68 candidates to 56 candidates (17.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh022
Picked101
Done112
Total69473

Merged error: 20.5b

Counts
73 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

19.5b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.5b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log cbrt-div flip3-+ sqrt-div add-cbrt-cube flip-+ add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
5.0ms
(sqrt (+ (+ (* 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)))

series175.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
32.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
54.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
57.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0220702
1710664
22610654
35001640

prune546.0ms

Filtered
68 candidates to 60 candidates (11.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done011
Total68472

Merged error: 20.5b

Counts
72 → 4

regimes332.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.6b and baseline of 19.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.2s

Algorithm
intervals
Results
329.0ms8000×body80valid
312.0ms7707×body80nan

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