Details

Time bar (total: 3.0s)

sample44.0ms

Algorithm
intervals
Results
12.0ms275×body80nan
11.0ms256×body80valid

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: 18.9b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.6b
(+ (* x y) (* x z))
1.2b
(+ (+ (* x y) (* x z)) (* y z))
17.8b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite15.0ms

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:
3.0ms
(+ (* x y) (* x z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series46.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x y) (* x z))
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
33.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify118.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0256358
1972331
23980326
35002326

prune78.0ms

Filtered
49 candidates to 38 candidates (22.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550

Merged error: 18.8b

Counts
50 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (+ (* x y) (* x z)) (* y z))
1.2b
(+ (+ (* x y) (* x z)) (* y z))
17.8b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.8b
(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)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
34.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
32.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0193582
1729538
23189532
35003532

prune100.0ms

Filtered
68 candidates to 54 candidates (20.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66268
Fresh033
Picked101
Done011
Total67673

Merged error: 18.8b

Counts
73 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (+ (* x y) (* x z)) (* y z))
17.8b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b
(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)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
33.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
55.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
58.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify105.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0265654
1898606
23728593
35001580

prune116.0ms

Filtered
66 candidates to 56 candidates (15.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh044
Picked011
Done011
Total66672

Merged error: 18.8b

Counts
72 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (+ (* x y) (* x z)) (* y z))
1.2b
(+ (+ (* x y) (* x z)) (* y z))
18.4b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite22.0ms

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)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
9.0ms
(+ (+ (* x y) (* x z)) (* y z))
55.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
58.0ms
(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

prune83.0ms

Filtered
64 candidates to 50 candidates (21.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New62264
Fresh123
Picked011
Done112
Total64670

Merged error: 18.8b

Counts
70 → 6

regimes383.0ms

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
0177
1177

end0.0ms

sample1.3s

Algorithm
intervals
Results
361.0ms8354×body80nan
357.0ms8000×body80valid

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