Details

Time bar (total: 6.2s)

sample46.0ms

Algorithm
intervals
Results
13.0ms233×body80nan
10.0ms256×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: 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)))

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)))

series305.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* x y) (* x z))
25.0ms
(+ (+ (* x y) (* x z)) (* y z))
243.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify120.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0256358
1972331
23980326
35002326

prune196.0ms

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

localize14.0ms

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)))

rewrite24.0ms

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))
7.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (+ (* x y) (* x z)) (* y z))
21.0ms
(+ (+ (* x y) (* x z)) (* y z))
231.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
232.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0197594
1625540
22618516
35001512

prune308.0ms

Filtered
64 candidates to 52 candidates (18.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New62264
Fresh112
Picked011
Done011
Total63568

Merged error: 20.5b

Counts
68 → 5

localize17.0ms

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)))

series738.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (+ (* x y) (* x z)) (* y z))
242.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
246.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
228.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify104.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0265635
1875595
23558583
35001579

prune541.0ms

Filtered
68 candidates to 57 candidates (16.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh022
Picked101
Done112
Total69473

Merged error: 20.5b

Counts
73 → 4

localize22.0ms

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)))

rewrite22.0ms

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)))

series950.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
241.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
231.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
238.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0220690
1681652
22416634
35001628

prune555.0ms

Filtered
68 candidates to 62 candidates (8.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done011
Total68472

Merged error: 20.5b

Counts
72 → 4

regimes334.0ms

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
332.0ms8000×body80valid
305.0ms7707×body80nan

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