Details

Time bar (total: 14.8s)

sample378.0ms

Algorithm
intervals
Results
293.0ms272×body5120exit
33.0ms70×body1280valid
11.0ms46×body640valid
6.0ms184×body80nan
5.0msbody2560valid
5.0ms100×body80valid
4.0ms24×body320valid
1.0ms11×body160valid

simplify217.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1143
2163
3183
4193
5243
6433
7643
81543
910443
1050013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh c)
0.0b
(log1p a)
36.6b
(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
cosh-def
Counts
3 → 22
Calls
3 calls:
1.0ms
(cosh c)
1.0ms
(log1p a)
1.0ms
(fmod (cosh c) (log1p a))

series52.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(cosh c)
1.0ms
(log1p a)
2.0ms
(fmod (cosh c) (log1p a))

simplify137.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
084112
116899
255391
3349889
4500189

prune94.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New201131
Fresh000
Picked101
Done000
Total211132

Merged error: 31.1b

Counts
32 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (log1p a))
0.6b
(cbrt (log1p a))
0.6b
(cbrt (log1p a))
36.7b
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
pow1/3
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt (log1p a))
1.0ms
(cbrt (log1p a))
1.0ms
(cbrt (log1p a))
1.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series314.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (log1p a))
108.0ms
(cbrt (log1p a))
101.0ms
(cbrt (log1p a))
3.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify92.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
041281
173245
2152239
3486232
42446232
55001232

prune190.0ms

Filtered
52 candidates to 38 candidates (73.1%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New381452
Fresh1910
Picked011
Done000
Total392463

Merged error: 30.4b

Counts
63 → 24

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (log1p a))
0.6b
(cbrt (cbrt (log1p a)))
0.6b
(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
36.7b
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
pow1/3
Counts
4 → 41
Calls
4 calls:
1.0ms
(cbrt (log1p a))
2.0ms
(cbrt (cbrt (log1p a)))
4.0ms
(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
1.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (log1p a))
108.0ms
(cbrt (cbrt (log1p a)))
120.0ms
(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
3.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 4 (66.0ms)

IterNodesCost
081432
1151370
2395361
31651361
45001357

prune275.0ms

Filtered
53 candidates to 39 candidates (73.6%)
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New351853
Fresh31922
Picked101
Done011
Total393877

Merged error: 29.8b

Counts
77 → 38

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (log1p a)))
0.6b
(cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))))
0.6b
(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
36.7b
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
pow1/3
pow3 rem-cbrt-cube
Counts
4 → 40
Calls
4 calls:
2.0ms
(cbrt (cbrt (log1p a)))
9.0ms
(cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))))
4.0ms
(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
1.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))))

series332.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (cbrt (log1p a)))
102.0ms
(cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))))
124.0ms
(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
4.0ms
(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 5 (102.0ms)

IterNodesCost
081616
1118516
2226438
3616437
42290434
55001432

prune166.0ms

Filtered
52 candidates to 35 candidates (67.3%)
Pruning

44 alts after pruning (43 fresh and 1 done)

PrunedKeptTotal
New371552
Fresh82836
Picked101
Done011
Total464490

Merged error: 29.7b

Counts
90 → 44

regimes920.0ms

Accuracy

0% (2.2b remaining)

Error of 34.2b against oracle of 32.0b and baseline of 34.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01929
11929

end0.0ms

sample11.1s

Algorithm
intervals
Results
8.4s7958×body5120exit
1.2s2366×body1280valid
395.0ms1598×body640valid
169.0ms5291×body80nan
165.0ms146×body2560valid
137.0ms2709×body80valid
127.0ms784×body320valid
44.0ms388×body160valid
14.0msbody5120valid

Profiling

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