Details

analyze2.1s (40.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample2.2s (41.4%)

Symmetry

(sort x y)

(sort z t)

(sort a b)

Results

1.3s	8256×	body	128	valid
713.0ms	3987×	body	128	invalid

Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1251×	`fma-neg_binary64`
530×	`fma-def_binary64`
258×	`cancel-sign-sub-inv_binary64`
148×	`distribute-rgt-in_binary64`
135×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	23
1	34	23
2	77	22
3	156	21
4	332	19
5	674	19
6	959	19
7	1365	19
8	1815	19
9	1835	19
10	1845	19
11	1846	19
12	1846	19
13	2162	19
14	2166	19
15	2166	19
16	2055	19

prune4.0ms (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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))

Compiler

Compiled 80 to 51 computations (36.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
✓	0.0b	(fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))

series59.0ms (1.1%)

Counts

2 → 144

Calls

2 calls:

35.0ms	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
24.0ms	(fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))

rewrite57.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
243×	`log-pow_binary64`
201×	`prod-diff_binary64`
151×	`add-sqr-sqrt_binary64`

Counts

2 → 56

Calls

2 calls:

55.0ms	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
55.0ms	(fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	306	34
2	3464	34
3	4928	34
0	0	0
1	0	0

simplify220.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1043×	`fma-neg_binary64`
647×	`fma-def_binary64`
404×	`cancel-sign-sub-inv_binary64`
132×	`associate--r+_binary64`
121×	`sub-neg_binary64`

Counts

200 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	2610
1	69	2374
2	129	2146
3	286	2146
4	470	2146
5	668	2146
6	1074	2146
7	1350	2146
8	1707	2146
9	1812	2146
10	1788	2146
11	1788	2146
12	2006	2146
13	2006	2146
14	2006	2146
15	1923	2146

prune57.0ms (1.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	1	79

Error

0.0b

Counts

79 → 1

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))

Compiler

Compiled 1408 to 700 computations (50.3% saved)

regimes332.0ms (6.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

17 → 1

Compiler

Compiled 5098 to 3657 computations (28.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	16	19
2	16	19

end95.0ms (1.8%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 189 to 126 computations (33.3% saved)

Details

analyze2.1s (40.5%)

sample2.2s (41.4%)

simplify108.0ms (2.1%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series59.0ms (1.1%)

rewrite57.0ms (1.1%)

simplify220.0ms (4.2%)

prune57.0ms (1.1%)

regimes332.0ms (6.4%)

simplify2.0ms (0%)

end95.0ms (1.8%)

Profiling