Details

Time bar (total: 2.5min)

analyze761.0ms (0.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
6.2%93.7%0.1%5
6.2%90.5%3.2%6
21.9%67.1%11%7
23.4%64.8%11.8%8
32%52.7%15.3%9
33.2%51.3%15.5%10
37.7%45.2%17.2%11
38.3%44.4%17.2%12
40.6%41.3%18%13
41%41%18%14
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.6s (1.7%)

Results
812.0ms5988×body128valid
459.0ms1093×body1024valid
283.0ms1525×body128invalid
238.0ms192×body256invalid
219.0ms683×body512valid
203.0ms511×body1024invalid
103.0ms334×body512invalid
90.0ms433×body256valid
37.0ms59×body2048valid
Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify200.0ms (0.1%)

Algorithm
egg-herbie
Rules
2748×fma-def_binary64
1264×fma-neg_binary64
934×associate--r-_binary64
475×cancel-sign-sub-inv_binary64
423×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01018
12217
24017
38615
416315
534415
666615
7121715
8146315
9160815
10178715
11232215
12292615
13298715
14308915
15313315
16314215
17314215
18322515
19323315
20323715
21497915

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
19.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
19.4b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
Compiler

Compiled 48 to 35 computations (27.1% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
0.0b
(/.f64 (-.f64 x y) (+.f64 y -1))
3.3b
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))

series93.0ms (0.1%)

Counts
3 → 72
Calls

3 calls:

48.0ms
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
36.0ms
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
8.0ms
(/.f64 (-.f64 x y) (+.f64 y -1))

rewrite16.0ms (0%)

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity_binary64
44×add-sqr-sqrt_binary64
25×times-frac_binary64
23×add-cube-cbrt_binary64
prod-diff_binary64
Counts
3 → 97
Calls

3 calls:

6.0ms
(/.f64 (-.f64 x y) (+.f64 y -1))
4.0ms
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
0.0ms
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))

simplify185.0ms (0.1%)

Algorithm
egg-herbie
Rules
409×associate-+l+_binary64
242×associate--r+_binary64
240×associate-/r*_binary64
221×fma-def_binary64
201×+-commutative_binary64
Counts
169 → 262
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05106989
114486687
250686687

prune247.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2593262
Fresh000
Picked011
Done000
Total2594263
Error
0.1b
Counts
263 → 4
Alt Table
StatusErrorProgram
32.1b
(+.f64 (fma.f64 1 1 (neg.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))
56.9b
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
19.4b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
42.5b
(-.f64 1 (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (-.f64 (/.f64 1 (*.f64 y (-.f64 1 x))) (/.f64 x (*.f64 y (-.f64 1 x))))))
Compiler

Compiled 9933 to 6701 computations (32.5% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
0.3b
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))
3.3b
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
30.6b
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))

series2.4min (97.3%)

Profiling

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