Details

analyze515.0ms (16.9%)

Algorithm

1×

Search

True	Other	False	Iter
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)

sample74.0ms (2.4%)

Algorithm

1×

intervals

Results

26.0ms	131×	body	2048	nan
13.0ms	256×	body	128	valid
12.0ms	78×	body	1024	nan
6.0ms	40×	body	512	nan
1.0ms	23×	body	128	nan
1.0ms	12×	body	256	nan

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify158.0ms (5.2%)

Algorithm

1×	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)

Iter	Nodes	Cost
0	8	12
1	18	12
2	22	12
3	37	12
4	64	12
5	113	12
6	247	12
7	500	12
8	1560	12
9	2513	12
10	3218	12
11	3602	12
12	3803	12
13	3974	12
14	4075	12
15	4392	12
16	4836	12
17	4898	12
18	4901	12

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

31.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	31.6b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	29.4b	(sqrt.f64 (fma.f64 x x -1))

series8.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64`
3×	`fma-def_binary64`

Counts

2 → 32

Calls

2 calls:

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

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-/l*_binary64`
512×	`associate-/r*_binary64`
349×	`fma-neg_binary64`
299×	`cancel-sign-sub-inv_binary64`
200×	`fma-def_binary64`

Counts

56 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	748
1	264	708
2	631	705
3	1895	695
4	4864	695
5	4886	695
6	4979	695

prune37.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	1	78

Error

Counts

78 → 1

Alt Table

Status	Error	Program
▶	0b	(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))

Compiler

Compiled 1162 to 853 computations (26.6% saved)

localize5.0ms (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	(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

regimes21.0ms (0.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

5 → 1

Compiler

Compiled 156 to 109 computations (30.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

sample2.1s (70.1%)

Algorithm

1×

intervals

Results

783.0ms	3880×	body	2048	nan
429.0ms	8000×	body	128	valid
327.0ms	2014×	body	1024	nan
120.0ms	974×	body	512	nan
42.0ms	467×	body	256	nan
24.0ms	508×	body	128	nan
2.0ms	10×	body	4096	nan

Compiler

Compiled 28 to 21 computations (25% saved)

Details

analyze515.0ms (16.9%)

sample74.0ms (2.4%)

simplify158.0ms (5.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series8.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify75.0ms (2.5%)

prune37.0ms (1.2%)

localize5.0ms (0.2%)

prune1.0ms (0%)

regimes21.0ms (0.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.1s (70.1%)

Profiling