Details

Time bar (total: 4.4s)

sample39.0ms

Algorithm
intervals
Results
12.0ms290×body80nan
11.0ms256×body80valid

simplify9.0ms

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: 19.7b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.8b
(+ (* x y) (* x z))
0.8b
(+ (+ (* x y) (* x z)) (* y z))
18.6b
(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)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (* x y) (* x z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
107.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify116.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0249355
1908322
23660314
35001314

prune118.0ms

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: 19.6b

Counts
50 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (+ (* x y) (* x z)) (* y z))
0.8b
(+ (+ (* x y) (* x z)) (* y z))
18.6b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.6b
(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)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (+ (* x y) (* x z)) (* y z))
26.0ms
(+ (+ (* x y) (* x z)) (* y z))
108.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
106.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0186576
1666520
22872508
35001508

prune204.0ms

Filtered
68 candidates to 52 candidates (76.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh044
Picked011
Done011
Total67774

Merged error: 19.6b

Counts
74 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

18.6b
(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
19.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-plus
5×pow-prod-down
4×add-exp-log add-cbrt-cube add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
23.0ms
(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
9.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series738.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
209.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
209.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))
210.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify122.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
03592148
18532082
230302037
350011939

prune347.0ms

Filtered
101 candidates to 68 candidates (67.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh044
Picked101
Done022
Total1008108

Merged error: 19.6b

Counts
108 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (+ (* x y) (* x z)) (* y z))
0.8b
(+ (+ (* x y) (* x z)) (* y z))
18.6b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity sum-log
5×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+
3×cbrt-prod sqrt-prod
2×+-commutative associate-+l+ cbrt-div sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 54
Calls
4 calls:
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
9.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (+ (* x y) (* x z)) (* y z))
20.0ms
(+ (+ (* x y) (* x z)) (* y z))
108.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
209.0ms
(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify101.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0258586
1812528
23241510
35001508

prune217.0ms

Filtered
66 candidates to 52 candidates (78.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New64266
Fresh055
Picked011
Done022
Total641074

Merged error: 19.6b

Counts
74 → 10

regimes286.0ms

Accuracy

0% (0.1b remaining)

Error of 19.7b against oracle of 19.7b and baseline of 19.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.0s

Algorithm
intervals
Results
360.0ms8000×body80valid
355.0ms8070×body80nan

Profiling

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