Details

Time bar (total: 4.6s)

analyze357.0ms (7.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%50%25%4
25%37.5%37.5%5
25%31.2%43.8%6
25%28.1%46.9%7
25%26.5%48.5%8
25%25.8%49.2%9
25%25.4%49.6%10
25%25.2%49.8%11
25%25.1%49.9%12
25%25%50%13
25%25%50%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample226.0ms (4.9%)

Algorithm
intervals
Results
21.0ms108×body2048nan
15.0ms256×body128valid
14.0ms75×body1024nan
3.0ms23×body512nan
1.0ms17×body256nan
1.0ms17×body128nan
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify154.0ms (3.3%)

Algorithm
egg-herbie
Rules
871×fma-neg_binary64
804×unsub-neg_binary64
461×distribute-neg-in_binary64
434×sub-neg_binary64
338×distribute-rgt-out_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11812
22212
33712
46412
511312
624712
750012
8156012
9251312
10321812
11360212
12380312
13397412
14407512
15439212
16483612
17489812
18490112

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
30.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
30.9b
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
0.0b
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
28.7b
(sqrt.f64 (fma.f64 x x -1))

series16.0ms (0.3%)

Counts
3 → 36
Calls

3 calls:

8.0ms
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
4.0ms
(sqrt.f64 (fma.f64 x x -1))
4.0ms
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

rewrite8.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-log-exp_binary64
pow1_binary64
Counts
3 → 49
Calls

3 calls:

3.0ms
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
1.0ms
(sqrt.f64 (fma.f64 x x -1))

simplify82.0ms (1.8%)

Algorithm
egg-herbie
Rules
583×fma-neg_binary64
330×sub-neg_binary64
301×fma-def_binary64
254×distribute-neg-frac_binary64
210×associate-+l+_binary64
Counts
85 → 118
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591395
14011305
210521265
334241265
447731265
549151265

prune70.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1162118
Fresh000
Picked101
Done000
Total1172119
Error
0b
Counts
119 → 2
Alt Table
StatusErrorProgram
0.5b
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
30.9b
(log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))
Compiler

Compiled 1903 to 1421 computations (25.3% saved)

localize5.0ms (0.1%)

prune2.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done000
Total022
Error
0b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.5b
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
30.9b
(log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))
0.0b
(+.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))))
5.7b
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
28.7b
(sqrt.f64 (fma.f64 x x -1))

series18.0ms (0.4%)

Counts
3 → 36
Calls

3 calls:

10.0ms
(log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))
4.0ms
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
4.0ms
(+.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))))

rewrite7.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-log-exp_binary64
log-prod_binary64
Counts
3 → 46
Calls

3 calls:

2.0ms
(+.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))))
2.0ms
(log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))
0.0ms
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))

simplify84.0ms (1.8%)

Algorithm
egg-herbie
Rules
580×fma-neg_binary64
333×sub-neg_binary64
297×fma-def_binary64
254×distribute-neg-frac_binary64
206×associate-+l+_binary64
Counts
82 → 136
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571433
13981295
210331291
334071245
447541245
549001245

prune91.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh000
Picked011
Done011
Total1742176
Error
0b
Counts
176 → 2
Alt Table
StatusErrorProgram
0.5b
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
30.9b
(log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))
Compiler

Compiled 2902 to 2206 computations (24% saved)

regimes43.0ms (0.9%)

Accuracy

Total 0.2b remaining (80.6%)

Threshold costs 0.2b (80.6%)

Counts
15 → 1
Compiler

Compiled 408 to 295 computations (27.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1710

end0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

sample3.5s (74.4%)

Algorithm
intervals
Results
1.0s4047×body2048nan
470.0ms8000×body128valid
464.0ms484×body256nan
323.0ms2052×body1024nan
137.0ms1060×body512nan
20.0ms486×body128nan
2.0ms10×body4096nan
Compiler

Compiled 39 to 29 computations (25.6% saved)

Profiling

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