Details

Time bar (total: 2.8s)

sample34.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
11.0ms256×body80valid

simplify647.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1193
2463
31313
44353
519243
650013

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
25.1b
(sqrt (* 2.0 (pow x 2.0)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*l* prod-exp unswap-sqr
2×add-log-exp sqr-pow
1×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-prod *-commutative cbrt-unprod
Counts
2 → 35
Calls
2 calls:
5.0ms
(* 2.0 (pow x 2.0))
5.0ms
(sqrt (* 2.0 (pow x 2.0)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* 2.0 (pow x 2.0))
76.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify83.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0222193
1781182
23046174
35001174

prune96.0ms

Filtered
32 candidates to 41 candidates (-28.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34741
Fresh000
Picked011
Done000
Total34842

Merged error: 13.1b

Counts
42 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2))))
0.5b
(* (sqrt 2.0) (pow x (/ 2.0 2)))
0.5b
(* (sqrt 2.0) (pow x (/ 2.0 2)))
25.1b
(sqrt (* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
46×prod-exp
32×add-sqr-sqrt
20×add-cbrt-cube
19×pow1
15×associate-*r*
13×associate-*l* sqrt-prod
12×add-cube-cbrt *-un-lft-identity unswap-sqr
10×pow-to-exp unpow-prod-down pow-exp cbrt-unprod
6×sqrt-pow1 sqr-pow
4×add-log-exp
3×*-commutative
2×pow2 pow-plus pow-prod-down pow-sqr pow-prod-up
1×rem-sqrt-square pow1/2 swap-sqr
Counts
4 → 114
Calls
4 calls:
9.0ms
(* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2))))
6.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))
6.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))
8.0ms
(sqrt (* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2)))))

series239.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2))))
59.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))
57.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))
61.0ms
(sqrt (* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0328901
11344797
25001743

prune222.0ms

Filtered
73 candidates to 126 candidates (-72.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1224126
Fresh336
Picked101
Done011
Total1268134

Merged error: 0.2b

Counts
134 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt 2.0) (pow x (/ 2.0 2)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
7×associate-*r*
6×add-exp-log associate-*l* sqrt-prod unswap-sqr
5×add-cube-cbrt unpow-prod-down *-un-lft-identity
3×prod-exp add-cbrt-cube sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 31
Calls
1 calls:
6.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))

simplify62.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0176234
1576224
22126220
35001220

prune81.0ms

Filtered
23 candidates to 34 candidates (-47.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New29534
Fresh516
Picked011
Done011
Total34842

Merged error: 0.0b

Counts
42 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2))))
0.3b
(* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
22×add-sqr-sqrt
21×prod-exp
12×cbrt-prod
10×associate-*l*
9×add-cbrt-cube cbrt-unprod unswap-sqr
8×associate-*r*
7×pow1 add-cube-cbrt *-un-lft-identity
6×unpow-prod-down sqrt-prod
4×sqr-pow
3×pow-to-exp pow-prod-down pow-exp
2×*-commutative add-log-exp
Counts
2 → 61
Calls
2 calls:
11.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2))))
6.0ms
(* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2))))
77.0ms
(* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2)))

simplify43.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0280699
11100572
25001533

prune148.0ms

Filtered
43 candidates to 67 candidates (-55.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New65267
Fresh235
Picked101
Done022
Total68775

Merged error: 0b

Counts
75 → 7

regimes208.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01721
11721

end0.0ms

sample474.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
322.0ms8000×body80valid

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