Details

Time bar (total: 4.6s)

analyze1.7s (37.8%)

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
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.4s (51.8%)

Results
1.5s8256×body128valid
851.0ms4861×body128invalid
Compiler

Compiled 48 to 40 computations (16.7% saved)

preprocess38.0ms (0.8%)

Algorithm
egg-herbie
Rules
297×associate-*l*_binary64
292×fma-def_binary64
258×associate-*r*_binary64
230×cancel-sign-sub-inv_binary64
219×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066203
1143189
2313189
3952189
43333189
044
Stop Event
saturated
node limit
Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify19.0ms (0.4%)

Algorithm
egg-herbie
Rules
530×associate-/r/_binary64
437×associate-/l/_binary64
423×associate-*l/_binary64
293×associate-*l*_binary64
216×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01729
13327
26627
318127
458627
5236227
Stop Event
node limit
Counts
1 → 2

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
11.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
11.9b
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
Compiler

Compiled 85 to 67 computations (21.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (/.f64 Om Omc) 2)
0.4b
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
0.5b
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
10.9b
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))

series407.0ms (8.8%)

Counts
4 → 168
Calls

42 calls:

27.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
t
inf
27.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
l
0
26.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
t
-inf
23.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
l
-inf
23.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
l
inf

rewrite0.0ms (0%)

Algorithm
batch-egg-rewrite

end0.0ms (0%)

Profiling

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