Details

Time bar (total: 3.2s)

sample26.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify642.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1204
2494
31444
44734
521284
650024

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

30.0b
(sqrt (+ (pow x 2.0) (pow x 2.0)))

rewrite13.0ms

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:
10.0ms
(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)))

simplify211.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0127240
1372235
22508225
35002225

prune89.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.2b

Counts
40 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
16.0b
(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))

series143.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)
74.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

simplify130.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
0149281
1307265
2752231
32300225
45002225

prune170.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New57562
Fresh066
Picked101
Done011
Total581270

Merged error: 0.1b

Counts
70 → 12

localize10.0ms

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)

series116.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(pow (cbrt x) 2.0)
22.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify46.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0139258
1370242
21180204
35001199

prune165.0ms

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

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New62466
Fresh3710
Picked011
Done011
Total651378

Merged error: 0.1b

Counts
78 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
32.0ms
(cbrt (cbrt x))
35.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify201.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune117.0ms

Filtered
44 candidates to 57 candidates (-29.5%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New56157
Fresh01010
Picked011
Done022
Total561470

Merged error: 0.1b

Counts
70 → 14

regimes433.0ms

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

sample529.0ms

Algorithm
intervals
Results
394.0ms8003×body80valid

Profiling

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