Details

Time bar (total: 25.5s)

sample134.0ms

Algorithm
intervals
Results
37.0ms130×body160valid
34.0ms231×body80nan
18.0ms126×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
62611
5774
4250
3102
251
129
016

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ t l) 2.0)
0.2b
(pow (/ Om Omc) 2.0)
0.6b
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (fma (pow (/ t l) 2.0) 2.0 1.0))))
8.8b
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (fma (pow (/ t l) 2.0) 2.0 1.0)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
46×times-frac
38×*-un-lft-identity
32×unpow-prod-down add-cube-cbrt
28×sqrt-prod
12×difference-of-squares
10×add-exp-log
7×pow1
6×pow-unpow
5×sqr-pow
4×expm1-log1p-u add-cbrt-cube pow-exp log1p-expm1-u add-log-exp
3×div-inv distribute-lft-out--
2×pow-to-exp rem-sqrt-square pow-pow div-exp
1×asin-acos sqrt-pow1 pow1/2 sqrt-div
Counts
4 → 112
Calls
4 calls:
11.0ms
(pow (/ t l) 2.0)
10.0ms
(pow (/ Om Omc) 2.0)
1.0ms
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (fma (pow (/ t l) 2.0) 2.0 1.0))))
62.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (fma (pow (/ t l) 2.0) 2.0 1.0)))

series653.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(pow (/ t l) 2.0)
93.0ms
(pow (/ Om Omc) 2.0)
18.0ms
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (fma (pow (/ t l) 2.0) 2.0 1.0))))
433.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (fma (pow (/ t l) 2.0) 2.0 1.0)))

simplify4.1s

Counts
124 → 124
Iterations
IterNodes
done5006
33901
21458
1730
0319

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 9.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ t l) 2.0)
0.2b
(pow (/ Om Omc) 2.0)
0.6b
(asin (fabs (/ (sqrt (- 1.0 (pow (/ Om Omc) 2.0))) (sqrt (fma (pow (/ t l) 2.0) 2.0 1.0)))))
8.8b
(sqrt (fma (pow (/ t l) 2.0) 2.0 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
26×unpow-prod-down
22×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac
10×add-exp-log
7×pow1
6×pow-unpow
4×expm1-log1p-u add-cbrt-cube pow-exp log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow-to-exp pow-pow div-exp div-inv sqr-pow
1×rem-sqrt-square asin-acos sqrt-pow1 pow1/2
Counts
4 → 85
Calls
4 calls:
9.0ms
(pow (/ t l) 2.0)
9.0ms
(pow (/ Om Omc) 2.0)
1.0ms
(asin (fabs (/ (sqrt (- 1.0 (pow (/ Om Omc) 2.0))) (sqrt (fma (pow (/ t l) 2.0) 2.0 1.0)))))
2.0ms
(sqrt (fma (pow (/ t l) 2.0) 2.0 1.0))

series303.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(pow (/ t l) 2.0)
66.0ms
(pow (/ Om Omc) 2.0)
13.0ms
(asin (fabs (/ (sqrt (- 1.0 (pow (/ Om Omc) 2.0))) (sqrt (fma (pow (/ t l) 2.0) 2.0 1.0)))))
157.0ms
(sqrt (fma (pow (/ t l) 2.0) 2.0 1.0))

simplify2.3s

Counts
97 → 97
Iterations
IterNodes
done5002
33239
21195
1576
0230

prune862.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 9.4b

localize107.0ms

Local error

Found 4 expressions with local error:

9.7b
(sqrt (* (cbrt (fma (pow (/ t l) 2.0) 2.0 1.0)) (cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))))
13.6b
(cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))
13.6b
(cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))
13.6b
(cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
9×cbrt-prod sqrt-pow1 pow1/3
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 rem-sqrt-square pow-plus pow1/2 sqrt-prod
Counts
4 → 60
Calls
4 calls:
5.0ms
(sqrt (* (cbrt (fma (pow (/ t l) 2.0) 2.0 1.0)) (cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))))
1.0ms
(cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))
1.0ms
(cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))
1.0ms
(cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))

series720.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(sqrt (* (cbrt (fma (pow (/ t l) 2.0) 2.0 1.0)) (cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))))
178.0ms
(cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))
188.0ms
(cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))
151.0ms
(cbrt (fma (pow (/ t l) 2.0) 2.0 1.0))

simplify2.4s

Counts
72 → 72
Iterations
IterNodes
done5000
52810
4997
3424
2216
1131
074

prune686.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 9.4b

localize83.0ms

Local error

Found 4 expressions with local error:

8.8b
(sqrt (fma (* (pow (* (cbrt (/ t l)) (cbrt (/ t l))) 2.0) (pow (cbrt (/ t l)) 2.0)) 2.0 1.0))
14.0b
(cbrt (/ t l))
14.0b
(cbrt (/ t l))
14.0b
(cbrt (/ t l))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×*-un-lft-identity add-cube-cbrt
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 sqrt-prod div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 87
Calls
4 calls:
2.0ms
(sqrt (fma (* (pow (* (cbrt (/ t l)) (cbrt (/ t l))) 2.0) (pow (cbrt (/ t l)) 2.0)) 2.0 1.0))
4.0ms
(cbrt (/ t l))
4.0ms
(cbrt (/ t l))
4.0ms
(cbrt (/ t l))

series693.0ms

Counts
4 → 12
Calls
4 calls:
401.0ms
(sqrt (fma (* (pow (* (cbrt (/ t l)) (cbrt (/ t l))) 2.0) (pow (cbrt (/ t l)) 2.0)) 2.0 1.0))
98.0ms
(cbrt (/ t l))
97.0ms
(cbrt (/ t l))
98.0ms
(cbrt (/ t l))

simplify1.7s

Counts
99 → 99
Iterations
IterNodes
done5000
31571
2454
1204
0121

prune1.2s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 9.4b

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 10.1b against oracle of 10.0b and baseline of 10.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
015

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.7s8068×body80nan
1.0s3863×body160valid
606.0ms4137×body80valid