Details

Time bar (total: 3.6s)

sample46.0ms

Algorithm
intervals
Results
12.0ms29×body1280valid
10.0ms185×body80valid
6.0ms24×body640valid
2.0ms13×body320valid
1.0msbody160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

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: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l* sum-log
+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
10.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (+ x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))

simplify60.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0152192
1605176
22510176
35001176

prune85.0ms

Filtered
37 candidates to 26 candidates (29.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New32537
Fresh000
Picked011
Done000
Total32638

Merged error: 0.0b

Counts
38 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series74.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))

simplify101.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune363.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh224
Picked011
Done011
Total85691

Merged error: 0b

Counts
91 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cbrt (cos y)))
0.3b
(cbrt (cbrt (cos y)))
0.5b
(pow (cbrt (cbrt (cos y))) 5)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down
pow1 add-exp-log
pow1/3 add-cbrt-cube add-log-exp
pow-unpow
pow-pow
pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))
2.0ms
(cbrt (cbrt (cos y)))
4.0ms
(pow (cbrt (cbrt (cos y))) 5)

series75.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (cos y))
16.0ms
(cbrt (cbrt (cos y)))
16.0ms
(cbrt (cbrt (cos y)))
26.0ms
(pow (cbrt (cbrt (cos y))) 5)

simplify69.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0168421
1538395
21847389
35002389

prune460.0ms

Filtered
75 candidates to 58 candidates (22.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh033
Picked011
Done022
Total75681

Merged error: 0b

Counts
81 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
9.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
4.0ms
(cbrt (* z (cos y)))
4.0ms
(cbrt (* z (cos y)))
4.0ms
(cbrt (* z (cos y)))

series118.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
22.0ms
(cbrt (* z (cos y)))
23.0ms
(cbrt (* z (cos y)))
39.0ms
(cbrt (* z (cos y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0183458
1597407
22879365
35002343

prune249.0ms

Filtered
70 candidates to 53 candidates (24.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done033
Total70676

Merged error: 0b

Counts
76 → 6

regimes281.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.4s

Algorithm
intervals
Results
432.0ms1024×body1280valid
306.0ms5546×body80valid
212.0ms800×body640valid
80.0ms427×body320valid
26.0ms203×body160valid

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