Details

Time bar (total: 2.2s)

analyze1.5s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%76.4%4.9%9
18.7%76.4%4.9%10
21.8%72.5%5.7%11
21.8%69.8%8.4%12
32.7%46.6%20.7%13
32.7%46.6%20.7%14

sample65.0ms

Algorithm
intervals
Results
22.0ms114×body160valid
15.0ms157×body80nan
13.0ms142×body80valid

simplify144.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
0490929
1490929

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.9b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow.f64 (/.f64 t l) 2)
0.2b
(pow.f64 (/.f64 Om Omc) 2)
0.7b
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
11.1b
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt_binary64
67×times-frac_binary64
59×*-un-lft-identity_binary64
48×sqrt-prod_binary64
38×add-cube-cbrt_binary64 unpow-prod-down_binary64
30×difference-of-squares_binary64
10×add-exp-log_binary64
unpow2_binary64 sqr-pow_binary64
pow1_binary64
pow-unpow_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 insert-posit16 pow-exp_binary64
distribute-lft-out--_binary64 div-inv_binary64
pow-to-exp_binary64 pow-pow_binary64 associate-/r/_binary64 rem-sqrt-square_binary64 div-exp_binary64
flip3-+_binary64 pow1/2_binary64 asin-acos_binary64 sqrt-pow1_binary64 flip-+_binary64 sqrt-div_binary64
Counts
4 → 130
Calls
4 calls:
6.0ms
(pow.f64 (/.f64 t l) 2)
5.0ms
(pow.f64 (/.f64 Om Omc) 2)
1.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
20.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))

series486.0ms

Iterations

Useful iterations: 0 (463.0ms)

IterNodesCost
022752655
122752655

Profiling

Loading profile data...