Details

analyze17.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	23.7%	76.3%	0
0%	23.7%	76.3%	1
11.9%	11.9%	76.3%	2
17.8%	5.9%	76.3%	3
20.8%	3%	76.3%	4
22.2%	1.5%	76.3%	5
23%	0.7%	76.3%	6
23.3%	0.4%	76.3%	7
23.3%	0.4%	76.3%	8
23.4%	0.3%	76.3%	9
23.5%	0.2%	76.3%	10
23.5%	0.2%	76.3%	11
23.5%	0.2%	76.3%	12
23.6%	0.2%	76.3%	13
23.6%	0.1%	76.3%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample3.8s (92.1%)

Results

2.3s	4292×	body	1024	valid
823.0ms	2191×	body	512	valid
387.0ms	524×	body	2048	valid
275.0ms	1073×	body	256	valid
22.0ms	176×	body	128	valid

Compiler

Compiled 38 to 28 computations (26.3% saved)

preprocess42.0ms (1%)

Algorithm

2×	egg-herbie

Rules

898×	`fma-def_binary64`
818×	`fma-neg_binary64`
335×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`
157×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	26	18
2	62	18
3	150	18
4	346	17
5	685	17
6	1184	17
7	2063	17
8	2730	17
9	3157	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 16 to 12 computations (25% saved)

simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-def_binary64`
818×	`fma-neg_binary64`
335×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`
157×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	26	18
2	62	18
3	150	18
4	346	17
5	685	17
6	1184	17
7	2063	17
8	2730	17
9	3157	17

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

44.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	44.2b	(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))

Compiler

Compiled 51 to 31 computations (39.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))
✓	0.9b	(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)
✓	4.6b	(-.f64 (log.f64 n) (log1p.f64 n))

series9.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

1.0ms	(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)	n	-inf
1.0ms	(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))	n	-inf
1.0ms	(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)	n	inf
1.0ms	(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))	n	inf
1.0ms	(-.f64 (log.f64 n) (log1p.f64 n))	n	-inf

rewrite57.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

915×	`expm1-log1p-u_binary64`
803×	`prod-diff_binary64`
121×	`egg-rr`
86×	`add-sqr-sqrt_binary64`
83×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	37
1	170	37
2	2356	37

Stop Event

1×	node limit

Counts

3 → 121

simplify32.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

569×	`cancel-sign-sub-inv_binary64`
419×	`fma-neg_binary64`
350×	`sub-neg_binary64`
278×	`associate-l_binary64`
263×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	563
1	244	531
2	730	525
3	2326	523

Stop Event

1×	node limit

Counts

157 → 166

prune76.0ms (1.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	166	1	167

Error

Counts

167 → 1

Alt Table

Status	Error	Program
▶	0b	(-.f64 (log1p.f64 n) (/.f64 1/2 n))

Compiler

Compiled 3451 to 1535 computations (55.5% saved)

localize7.0ms (0.2%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(-.f64 (log1p.f64 n) (/.f64 1/2 n))

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Compiler

Compiled 199 to 139 computations (30.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	8	9
2	16	9
3	18	9
4	19	9

Stop Event

1×

saturated

end30.0ms (0.7%)

Stop Event

1×

done

Compiler

Compiled 21 to 15 computations (28.6% saved)

Details

analyze17.0ms (0.4%)

sample3.8s (92.1%)

preprocess42.0ms (1%)

simplify29.0ms (0.7%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series9.0ms (0.2%)

rewrite57.0ms (1.4%)

simplify32.0ms (0.8%)

prune76.0ms (1.8%)

localize7.0ms (0.2%)

prune1.0ms (0%)

regimes16.0ms (0.4%)

simplify2.0ms (0%)

end30.0ms (0.7%)

Profiling