Details

Time bar (total: 2.5s)

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify504.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0103
1193
2463
31313
44353
519243
650013

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
26.3b
(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)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* 2.0 (pow x 2.0))
81.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify83.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0222193
1781182
23046174
35001174

prune100.0ms

Filtered
41 candidates to 32 candidates (22.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34741
Fresh000
Picked011
Done000
Total34842

Merged error: 12.5b

Counts
42 → 8

localize9.0ms

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)))
26.3b
(sqrt (* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2)))))

rewrite35.0ms

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:
10.0ms
(* (* (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)))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2))))
63.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))
61.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))
64.0ms
(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 (38.0ms)

IterNodesCost
0328901
11344797
25001743

prune218.0ms

Filtered
126 candidates to 73 candidates (42.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh246
Picked101
Done011
Total1277134

Merged error: 0.2b

Counts
134 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:
7.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))

simplify64.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0176234
1576224
22126220
35001220

prune68.0ms

Filtered
34 candidates to 23 candidates (32.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New31334
Fresh505
Picked011
Done011
Total36541

Merged error: 0.0b

Counts
41 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt (sqrt 2.0)) (pow x (/ 2.0 2)))
0.3b
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (pow x (/ 2.0 2))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
18×associate-*l*
17×add-exp-log
10×add-cube-cbrt *-un-lft-identity prod-exp
9×add-cbrt-cube unswap-sqr
8×associate-*r*
6×unpow-prod-down
4×pow1 cbrt-unprod sqr-pow
2×pow-to-exp pow-exp *-commutative add-log-exp
1×pow-prod-down
Counts
2 → 62
Calls
2 calls:
7.0ms
(* (sqrt (sqrt 2.0)) (pow x (/ 2.0 2)))
10.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (pow x (/ 2.0 2))))

series124.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (sqrt (sqrt 2.0)) (pow x (/ 2.0 2)))
62.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (pow x (/ 2.0 2))))

simplify108.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0243584
1890520
23574508
35001508

prune127.0ms

Filtered
68 candidates to 44 candidates (35.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh112
Picked011
Done112
Total69473

Merged error: 0b

Counts
73 → 4

regimes39.0ms

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
0129
1129

end0.0ms

sample450.0ms

Algorithm
intervals
Results
304.0ms8001×body80valid

Profiling

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