Details

Time bar (total: 2.3s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 29.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
28.3b
(sqrt (* 2.0 (pow x 2.0)))

rewrite195.0ms

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:
187.0ms
(* 2.0 (pow x 2.0))
6.0ms
(sqrt (* 2.0 (pow x 2.0)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* 2.0 (pow x 2.0))
71.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify81.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0222193
1781182
23046174
35001174

prune92.0ms

Filtered
41 candidates to 32 candidates (22.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New36541
Fresh000
Picked011
Done000
Total36642

Merged error: 13.2b

Counts
42 → 6

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))))
0.4b
(* (sqrt 2.0) (pow x (/ 2.0 2)))
0.4b
(* (sqrt 2.0) (pow x (/ 2.0 2)))
28.3b
(sqrt (* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2)))))

rewrite34.0ms

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)))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2))))
62.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))
61.0ms
(* (sqrt 2.0) (pow x (/ 2.0 2)))
63.0ms
(sqrt (* (* (sqrt 2.0) (pow x (/ 2.0 2))) (* (sqrt 2.0) (pow x (/ 2.0 2)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0328901
11344797
25001743

prune216.0ms

Filtered
126 candidates to 73 candidates (42.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1233126
Fresh224
Picked101
Done011
Total1266132

Merged error: 0.2b

Counts
132 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (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)))

simplify59.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0176234
1576224
22126220
35001220

prune67.0ms

Filtered
34 candidates to 23 candidates (32.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New31334
Fresh404
Picked011
Done011
Total35540

Merged error: 0.0b

Counts
40 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
7.0ms
(* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2)))
11.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2))))

series144.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2)))
63.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (pow x (/ 2.0 2))))

simplify42.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0280699
11098572
25001533

prune146.0ms

Filtered
67 candidates to 43 candidates (35.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New65267
Fresh022
Picked101
Done022
Total66672

Merged error: 0b

Counts
72 → 6

regimes183.0ms

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
0149
1149

end0.0ms

sample434.0ms

Algorithm
intervals
Results
293.0ms8001×body80valid

Profiling

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