Details

Time bar (total: 5.4s)

sample39.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
15.0ms256×body80valid

simplify644.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1204
2494
31444
44734
521284
650024

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (pow x 2.0) (pow x 2.0))
29.6b
(sqrt (+ (pow x 2.0) (pow x 2.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
32×unpow-prod-down
24×sqrt-prod
20×add-sqr-sqrt
19×add-cube-cbrt
18×distribute-rgt-out
14×distribute-lft-out
8×sqr-pow
4×distribute-lft1-in distribute-rgt1-in add-log-exp
3×pow1
2×add-exp-log flip3-+ count-2 sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 68
Calls
2 calls:
7.0ms
(+ (pow x 2.0) (pow x 2.0))
10.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (pow x 2.0) (pow x 2.0))
12.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

simplify239.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (232.0ms)

IterNodesCost
0149334
1494319
23175309
35001308

prune134.0ms

Filtered
44 candidates to 74 candidates (-68.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68674
Fresh000
Picked011
Done000
Total68775

Merged error: 0.2b

Counts
75 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
16.5b
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×sqrt-prod
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×rem-sqrt-square pow1/3
2×unpow-prod-down sqr-pow
1×sqrt-pow1 pow1/2
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

series139.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)
72.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

simplify135.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
0149281
1307265
2752231
32300225
45002225

prune172.0ms

Filtered
51 candidates to 62 candidates (-21.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh145
Picked101
Done011
Total581169

Merged error: 0.1b

Counts
69 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt x) 2.0)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 54
Calls
4 calls:
3.0ms
(pow (cbrt x) 2.0)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series116.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(pow (cbrt x) 2.0)
22.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify47.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0139258
1370242
21180204
35001199

prune189.0ms

Filtered
49 candidates to 66 candidates (-34.7%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New59766
Fresh189
Picked011
Done011
Total601777

Merged error: 0.1b

Counts
77 → 17

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (pow (cbrt x) 2.0))
0.6b
(cbrt (pow (cbrt x) 2.0))
0.6b
(cbrt (pow (cbrt x) 2.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
18×unpow-prod-down
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(cbrt (pow (cbrt x) 2.0))
3.0ms
(cbrt (pow (cbrt x) 2.0))
3.0ms
(cbrt (pow (cbrt x) 2.0))

series216.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
64.0ms
(cbrt (pow (cbrt x) 2.0))
65.0ms
(cbrt (pow (cbrt x) 2.0))
65.0ms
(cbrt (pow (cbrt x) 2.0))

simplify1.8s

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0173483
1371458
21022430
34222404
45001404

prune266.0ms

Filtered
62 candidates to 77 candidates (-24.2%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New75277
Fresh01414
Picked101
Done022
Total761894

Merged error: 0.1b

Counts
94 → 18

regimes536.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
1910

end0.0ms

sample598.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
445.0ms8000×body80valid

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