Details

Time bar (total: 4.1s)

analyze187.0ms (4.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
25%25%50%3
25%12.5%62.5%4
25%6.2%68.8%5
25%3.1%71.9%6
25%1.6%73.5%7
25%0.8%74.2%8
25%0.4%74.6%9
25%0.2%74.8%10
25%0.1%74.9%11
25%0%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify176.0ms (4.3%)

Algorithm
egg-herbie
Rules
1887×fma-neg_binary64
921×unsub-neg_binary64
788×associate-+l+_binary64
692×fma-def_binary64
383×associate-+r+_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1710
21210
31910
42610
54310
66910
79410
814010
926110
1049510
11123710
12215810
13201210
14213110
15217910
16218910
17218910
18330110
19330910
20336110
21336110
22388510
23499510
24499410

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.3b
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(log.f64 (log.f64 x))
0.3b
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
19×pow1_binary64
17×add-sqr-sqrt_binary64
17×log-pow_binary64
16×prod-diff_binary64
Counts
2 → 64
Calls

2 calls:

5.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms
(log.f64 (log.f64 x))

series1.4s (34.5%)

Counts
2 → 16
Calls

2 calls:

809.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
613.0ms
(log.f64 (log.f64 x))

simplify151.0ms (3.7%)

Algorithm
egg-herbie
Rules
574×fma-neg_binary64
388×unsub-neg_binary64
356×neg-sub0_binary64
331×neg-mul-1_binary64
289×associate-*l*_binary64
Counts
80 → 136
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0941346
1172931
2477801
32027799
43623793
54612793
64902793
74940793
84827793

prune40.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1342136
Fresh000
Picked101
Done000
Total1352137
Error
0b
Counts
137 → 2
Alt Table
StatusErrorProgram
0.3b
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
0.0b
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 1062 to 280 computations (73.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 x (log.f64 x))

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
pow1_binary64
Counts
1 → 33
Calls

1 calls:

2.0ms
(/.f64 x (log.f64 x))

series271.0ms (6.6%)

Counts
1 → 8
Calls

1 calls:

271.0ms
(/.f64 x (log.f64 x))

simplify68.0ms (1.6%)

Algorithm
egg-herbie
Rules
593×fma-neg_binary64
536×div-sub_binary64
375×distribute-rgt-in_binary64
345×sub-neg_binary64
340×distribute-lft-in_binary64
Counts
41 → 60
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061492
1104456
2211426
3390426
41503426
53684426
64924426

prune19.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done000
Total60262
Error
0b
Counts
62 → 2
Alt Table
StatusErrorProgram
0.3b
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
0.0b
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 402 to 158 computations (60.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(log.f64 (log.f64 x))
0.3b
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
pow1_binary64
log-prod_binary64
log-pow_binary64
distribute-lft-out_binary64
Counts
1 → 33
Calls

1 calls:

6.0ms
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))

series874.0ms (21.2%)

Counts
1 → 12
Calls

1 calls:

874.0ms
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))

simplify159.0ms (3.9%)

Algorithm
egg-herbie
Rules
600×unsub-neg_binary64
592×times-frac_binary64
326×sub-neg_binary64
311×div-sub_binary64
285×fma-neg_binary64
Counts
45 → 78
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
065494
1167456
2398452
31253450
42940448
54625448
64242448
74711448
84977448
94966448
104881448

prune26.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done011
Total1162118
Error
0b
Counts
118 → 2
Alt Table
StatusErrorProgram
0.3b
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
0.0b
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 795 to 256 computations (67.8% saved)

regimes61.0ms (1.5%)

Accuracy

Total 0.0b remaining (82.4%)

Threshold costs 0.0b (82.4%)

Compiler

Compiled 937 to 434 computations (53.7% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158

end0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample602.0ms (14.6%)

Algorithm
intervals
Results
388.0ms8000×body128valid
Compiler

Compiled 29 to 19 computations (34.5% saved)

Profiling

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