Details

Time bar (total: 2.0s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify490.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0103
1193
2463
31313
44353
519243
650013

prune5.0ms

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 1 expressions with local error:

28.1b
(sqrt (* 2.0 (pow x 2.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1
1×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-pow1 pow1/2 sqrt-prod add-cbrt-cube add-log-exp
Counts
1 → 10
Calls
1 calls:
5.0ms
(sqrt (* 2.0 (pow x 2.0)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
09368
119266
246562
3140462
4500162

prune55.0ms

Filtered
13 candidates to 12 candidates (7.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New7613
Fresh000
Picked011
Done000
Total7714

Merged error: 14.0b

Counts
14 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt 2.0) (sqrt (pow x 2.0)))
27.8b
(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))

series118.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (sqrt 2.0) (sqrt (pow x 2.0)))
57.0ms
(sqrt (pow x 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0206354
1644343
22032335
35001328

prune117.0ms

Filtered
62 candidates to 42 candidates (32.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New58462
Fresh505
Picked101
Done011
Total64569

Merged error: 0.1b

Counts
69 → 5

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:
5.0ms
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

simplify110.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
079174
1260158
2627158
31256158
43938158
55002158

prune67.0ms

Filtered
25 candidates to 16 candidates (36.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh303
Picked011
Done101
Total24630

Merged error: 0b

Counts
30 → 6

localize11.0ms

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)))))

rewrite16.0ms

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)))))

series29.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (cbrt (sqrt 2.0)) (fabs (pow x (/ 2.0 2))))
6.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs (pow x (/ 2.0 2)))))

simplify131.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0167598
1701457
24165414
35002402

prune117.0ms

Filtered
54 candidates to 32 candidates (40.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New52254
Fresh224
Picked011
Done011
Total54660

Merged error: 0b

Counts
60 → 6

regimes52.0ms

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

sample443.0ms

Algorithm
intervals
Results
302.0ms8008×body80valid

Profiling

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