Details

Time bar (total: 4.2s)

sample35.0ms

Algorithm
intervals
Results
10.0ms262×body80nan
10.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1337
2427
3447
4447

prune2.0ms

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: 20.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b
(+ (* x y) (* x z))
1.4b
(+ (+ (* x y) (* x z)) (* y z))
19.7b
(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))
6.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series255.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* x y) (* x z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
205.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify119.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0256358
1972331
23980326
35002326

prune106.0ms

Filtered
49 candidates to 38 candidates (77.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New47249
Fresh000
Picked011
Done000
Total47350

Merged error: 20.8b

Counts
50 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (+ (* x y) (* x z)) (* y z))
1.4b
(+ (+ (* x y) (* x z)) (* y z))
19.7b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.7b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

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)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (+ (* x y) (* x z)) (* y z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
211.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
199.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0193582
1729538
23189532
35003532

prune194.0ms

Filtered
68 candidates to 54 candidates (79.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh011
Picked011
Done011
Total67471

Merged error: 20.8b

Counts
71 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (+ (* x y) (* x z)) (* y z))
1.4b
(+ (+ (* x y) (* x z)) (* y z))
20.3b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.3b
(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)))
6.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
198.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
209.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0197594
1625540
22618516
35001512

prune199.0ms

Filtered
64 candidates to 52 candidates (81.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New63164
Fresh011
Picked011
Done022
Total63568

Merged error: 20.8b

Counts
68 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (+ (* x y) (* x z)) (* y z))
20.3b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.3b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.3b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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

series616.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
203.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
199.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
194.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0197647
1625594
22618564
35001558

prune219.0ms

Filtered
64 candidates to 58 candidates (90.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done033
Total64569

Merged error: 20.8b

Counts
69 → 5

regimes151.0ms

Accuracy

0% (0.1b remaining)

Error of 19.4b against oracle of 19.3b and baseline of 19.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample982.0ms

Algorithm
intervals
Results
342.0ms8000×body80valid
329.0ms8185×body80nan

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