Details

Time bar (total: 4.6s)

sample27.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify81.0ms

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: 30.3b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

29.2b
(sqrt (+ (pow x 2.0) (pow x 2.0)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
18×*-un-lft-identity
16×unpow-prod-down
11×add-sqr-sqrt
10×add-cube-cbrt
9×distribute-rgt-out
7×distribute-lft-out
4×sqr-pow
2×pow1 distribute-lft1-in sqrt-div distribute-rgt1-in
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 count-2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 36
Calls
1 calls:
197.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

simplify193.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0127240
1372235
22508225
35002225

prune100.0ms

Filtered
23 candidates to 39 candidates (-69.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New30939
Fresh000
Picked011
Done000
Total301040

Merged error: 0.1b

Counts
40 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
13.8b
(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))

series138.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
22.0ms
(cbrt x)
25.0ms
(cbrt x)
70.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

simplify131.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
0149281
1307265
2752231
32300225
45002225

prune154.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh178
Picked101
Done011
Total621072

Merged error: 0.1b

Counts
72 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

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

series113.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(pow (cbrt x) 2.0)
23.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify48.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0139258
1370242
21180204
35001199

prune157.0ms

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

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New62466
Fresh178
Picked011
Done011
Total631376

Merged error: 0.1b

Counts
76 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(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))

rewrite11.0ms

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))

series219.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
64.0ms
(cbrt (pow (cbrt x) 2.0))
66.0ms
(cbrt (pow (cbrt x) 2.0))
66.0ms
(cbrt (pow (cbrt x) 2.0))

simplify1.7s

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0173483
1371458
21022430
34222404
45001404

prune231.0ms

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

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh01010
Picked011
Done022
Total771390

Merged error: 0.1b

Counts
90 → 13

regimes416.0ms

Accuracy

0% (1.2b 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

sample555.0ms

Algorithm
intervals
Results
410.0ms8001×body80valid

Profiling

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