Details

Time bar (total: 2.1s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify71.0ms

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: 27.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
26.7b
(sqrt (* 2.0 (pow x 2.0)))

rewrite193.0ms

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:
185.0ms
(* 2.0 (pow x 2.0))
6.0ms
(sqrt (* 2.0 (pow x 2.0)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* 2.0 (pow x 2.0))
69.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify82.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0222193
1781182
23046174
35001174

prune97.0ms

Filtered
41 candidates to 32 candidates (22.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New35641
Fresh000
Picked011
Done000
Total35742

Merged error: 14.1b

Counts
42 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt 2.0) (sqrt (pow x 2.0)))
26.7b
(sqrt (pow x 2.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt unpow-prod-down *-un-lft-identity
8×unswap-sqr
6×associate-*l*
5×sqr-pow
4×pow1 add-exp-log add-cbrt-cube
3×rem-sqrt-square pow1/2
2×pow-prod-down add-log-exp
1×sqrt-pow1 sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
2 → 56
Calls
2 calls:
7.0ms
(* (sqrt 2.0) (sqrt (pow x 2.0)))
2.0ms
(sqrt (pow x 2.0))

series117.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (sqrt 2.0) (sqrt (pow x 2.0)))
55.0ms
(sqrt (pow x 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0206354
1644343
22032335
35001328

prune114.0ms

Filtered
62 candidates to 42 candidates (32.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New57562
Fresh415
Picked101
Done011
Total62769

Merged error: 0.1b

Counts
69 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*l*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*r* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

simplify109.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079174
1260158
2627158
31256158
43938158
55002158

prune64.0ms

Filtered
25 candidates to 16 candidates (36.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh415
Picked011
Done011
Total25732

Merged error: 0b

Counts
32 → 7

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-sqr-sqrt
10×associate-*l*
9×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
8×cbrt-prod
6×add-cube-cbrt *-un-lft-identity
4×associate-*r* sqrt-prod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 48
Calls
2 calls:
5.0ms
(* (cbrt (sqrt 2.0)) (fabs (pow x (/ 2.0 2))))
10.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs (pow x (/ 2.0 2)))))

series28.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (cbrt (sqrt 2.0)) (fabs (pow x (/ 2.0 2))))
5.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs (pow x (/ 2.0 2)))))

simplify130.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0167598
1701457
24165414
35002402

prune111.0ms

Filtered
54 candidates to 32 candidates (40.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh044
Picked011
Done022
Total54761

Merged error: 0b

Counts
61 → 7

regimes224.0ms

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
01312
11312

end0.0ms

sample445.0ms

Algorithm
intervals
Results
303.0ms8002×body80valid

Profiling

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