Details

Time bar (total: 14.1s)

sample375.0ms

Algorithm
intervals
Results
289.0ms278×body10240exit
31.0ms68×body1280valid
12.0ms54×body640valid
7.0msbody2560valid
6.0ms193×body80nan
4.0ms89×body80valid
2.0msbody5120valid
2.0ms18×body320valid
2.0ms18×body160valid

simplify216.0ms

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: 34.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(log1p a)
38.7b
(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
2 → 14
Calls
2 calls:
1.0ms
(log1p a)
1.0ms
(fmod (cosh c) (log1p a))

series3.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(log1p a)
2.0ms
(fmod (cosh c) (log1p a))

simplify104.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02772
13362
24062
35062
47962
515862
670262
7234262
8500162

prune67.0ms

Filtered
20 candidates to 14 candidates (70.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New11920
Fresh000
Picked011
Done000
Total111021

Merged error: 33.2b

Counts
21 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (log1p a))
0.6b
(cbrt (log1p a))
0.6b
(cbrt (log1p a))
38.7b
(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))))

series307.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (log1p a))
104.0ms
(cbrt (log1p a))
100.0ms
(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 (9.0ms)

IterNodesCost
041281
173245
2152239
3486232
42446232
55001232

prune202.0ms

Filtered
52 candidates to 36 candidates (69.2%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New351752
Fresh178
Picked101
Done101
Total382462

Merged error: 32.5b

Counts
62 → 24

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (log1p a))
0.6b
(cbrt (log1p a))
0.6b
(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
38.7b
(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite7.0ms

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 → 38
Calls
4 calls:
1.0ms
(cbrt (log1p a))
1.0ms
(cbrt (log1p a))
4.0ms
(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
1.0ms
(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series325.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (log1p a))
100.0ms
(cbrt (log1p a))
123.0ms
(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
3.0ms
(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify61.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 4 (57.0ms)

IterNodesCost
068392
1145332
2400323
31545323
45001321

prune271.0ms

Filtered
50 candidates to 37 candidates (74.0%)
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New351550
Fresh51823
Picked101
Done000
Total413374

Merged error: 31.9b

Counts
74 → 33

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (log1p a))
0.6b
(cbrt (log1p a))
3.1b
(pow (* (cbrt (log1p a)) (cbrt (log1p a))) 1/3)
38.6b
(fmod (cosh c) (* (* (* (pow (* (cbrt (log1p a)) (cbrt (log1p a))) 1/3) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
pow-pow
pow1/3
add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod
add-cbrt-cube add-log-exp
pow-unpow
pow-prod-down pow-exp pow-sqr pow-prod-up
pow2 pow-to-exp unpow-prod-down pow-plus unpow1/3 prod-exp sqr-pow
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt (log1p a))
1.0ms
(cbrt (log1p a))
5.0ms
(pow (* (cbrt (log1p a)) (cbrt (log1p a))) 1/3)
1.0ms
(fmod (cosh c) (* (* (* (pow (* (cbrt (log1p a)) (cbrt (log1p a))) 1/3) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(cbrt (log1p a))
105.0ms
(cbrt (log1p a))
226.0ms
(pow (* (cbrt (log1p a)) (cbrt (log1p a))) 1/3)
3.0ms
(fmod (cosh c) (* (* (* (pow (* (cbrt (log1p a)) (cbrt (log1p a))) 1/3) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify61.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0126434
1423360
21587341
35001333

prune207.0ms

Filtered
66 candidates to 44 candidates (66.7%)
Pruning

46 alts after pruning (46 fresh and 0 done)

PrunedKeptTotal
New452166
Fresh72532
Picked101
Done000
Total534699

Merged error: 31.6b

Counts
99 → 46

regimes991.0ms

Accuracy

0% (2.2b remaining)

Error of 33.6b against oracle of 31.4b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01820
11820

end0.0ms

sample10.3s

Algorithm
intervals
Results
7.8s7779×body10240exit
1.0s2266×body1280valid
351.0ms1600×body640valid
166.0ms157×body2560valid
163.0ms5416×body80nan
126.0ms2801×body80valid
104.0ms746×body320valid
43.0ms421×body160valid
14.0msbody5120valid