Details

Time bar (total: 10.5s)

sample102.0ms

Algorithm
intervals
Results
35.0ms297×body80nan
27.0ms118×body160valid
16.0ms138×body80valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02910
14910
210110
327910
4102910
5438410
6500210

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ Om Omc) 2.0)
0.3b
(pow (/ t l) 2.0)
1.1b
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))
8.9b
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
46×times-frac
38×*-un-lft-identity
32×add-cube-cbrt unpow-prod-down
30×sqrt-prod
12×difference-of-squares
10×add-exp-log
7×pow1
6×pow-unpow
5×sqr-pow
4×pow-exp add-cbrt-cube add-log-exp
3×div-inv distribute-lft-out--
2×pow-to-exp rem-sqrt-square pow-pow div-exp associate-/r/
1×asin-acos sqrt-pow1 flip3-+ pow1/2 sqrt-div flip-+
Counts
4 → 106
Calls
4 calls:
3.0ms
(pow (/ Om Omc) 2.0)
3.0ms
(pow (/ t l) 2.0)
0.0ms
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))
29.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(pow (/ Om Omc) 2.0)
59.0ms
(pow (/ t l) 2.0)
18.0ms
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))
332.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
06951236
120411164
250011152

prune482.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.0b

localize18.0ms

Local error

Found 4 expressions with local error:

8.9b
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (* (* (cbrt (pow (/ t l) 2.0)) (cbrt (pow (/ t l) 2.0))) (cbrt (pow (/ t l) 2.0)))))))
26.2b
(cbrt (pow (/ t l) 2.0))
26.2b
(cbrt (pow (/ t l) 2.0))
26.2b
(cbrt (pow (/ t l) 2.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
55×times-frac
51×cbrt-prod
46×*-un-lft-identity
45×unpow-prod-down
40×add-cube-cbrt
30×sqrt-prod
12×difference-of-squares
6×sqr-pow
5×pow1
4×add-exp-log add-cbrt-cube div-inv add-log-exp
3×pow1/3 distribute-lft-out--
2×rem-sqrt-square associate-/r/
1×sqrt-pow1 flip3-+ pow1/2 sqrt-div flip-+
Counts
4 → 117
Calls
4 calls:
32.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (* (* (cbrt (pow (/ t l) 2.0)) (cbrt (pow (/ t l) 2.0))) (cbrt (pow (/ t l) 2.0)))))))
3.0ms
(cbrt (pow (/ t l) 2.0))
3.0ms
(cbrt (pow (/ t l) 2.0))
3.0ms
(cbrt (pow (/ t l) 2.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
322.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (* (* (cbrt (pow (/ t l) 2.0)) (cbrt (pow (/ t l) 2.0))) (cbrt (pow (/ t l) 2.0)))))))
266.0ms
(cbrt (pow (/ t l) 2.0))
268.0ms
(cbrt (pow (/ t l) 2.0))
269.0ms
(cbrt (pow (/ t l) 2.0))

simplify117.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
05162189
112052120
248302084
350012075

prune796.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.0b

localize27.0ms

Local error

Found 4 expressions with local error:

16.0b
(cbrt (sqrt (pow (/ t l) 2.0)))
16.0b
(cbrt (sqrt (pow (/ t l) 2.0)))
26.2b
(cbrt (pow (/ t l) 2.0))
26.2b
(cbrt (pow (/ t l) 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
74×cbrt-prod
52×unpow-prod-down
38×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×times-frac
34×sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube div-inv add-log-exp sqr-pow
Counts
4 → 106
Calls
4 calls:
4.0ms
(cbrt (sqrt (pow (/ t l) 2.0)))
4.0ms
(cbrt (sqrt (pow (/ t l) 2.0)))
3.0ms
(cbrt (pow (/ t l) 2.0))
3.0ms
(cbrt (pow (/ t l) 2.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (sqrt (pow (/ t l) 2.0)))
262.0ms
(cbrt (sqrt (pow (/ t l) 2.0)))
261.0ms
(cbrt (pow (/ t l) 2.0))
265.0ms
(cbrt (pow (/ t l) 2.0))

simplify87.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03051212
15851174
214191166
335001152
450021152

prune696.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 10.0b

localize34.0ms

Local error

Found 4 expressions with local error:

16.0b
(cbrt (/ t l))
16.0b
(cbrt (/ t l))
22.7b
(cbrt (pow (* (cbrt (/ t l)) (cbrt (/ t l))) 2.0))
26.2b
(cbrt (pow (/ t l) 2.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
14×unpow-prod-down
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×div-inv
2×cbrt-div sqr-pow
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt (/ t l))
1.0ms
(cbrt (/ t l))
1.0ms
(cbrt (pow (* (cbrt (/ t l)) (cbrt (/ t l))) 2.0))
3.0ms
(cbrt (pow (/ t l) 2.0))

series654.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(cbrt (/ t l))
62.0ms
(cbrt (/ t l))
265.0ms
(cbrt (pow (* (cbrt (/ t l)) (cbrt (/ t l))) 2.0))
264.0ms
(cbrt (pow (/ t l) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0397782
1807746
22130738
35001718

prune655.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 10.0b

regimes1000.0ms

Accuracy

0% (0.2b remaining)

Error of 10.3b against oracle of 10.1b and baseline of 10.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02625
12625

end0.0ms

sample2.8s

Algorithm
intervals
Results
961.0ms8077×body80nan
897.0ms3753×body160valid
501.0ms4247×body80valid