Details

analyze2.1s (42.9%)

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)

sample2.0s (40.7%)

Results

1.3s	8256×	body	128	valid
660.0ms	4126×	body	128	invalid

Compiler

Compiled 50 to 36 computations (28% saved)

preprocess52.0ms (1%)

Algorithm

2×	egg-herbie

Rules

436×	`fma-neg_binary64`
395×	`associate-+l+_binary64`
365×	`cancel-sign-sub-inv_binary64`
360×	`associate-+r+_binary64`
358×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	506
1	355	506
2	947	484
3	2466	462
0	7	7
1	7	7

Stop Event

1×	unsound
1×	node limit

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1251×	`fma-neg_binary64`
526×	`fma-def_binary64`
259×	`cancel-sign-sub-inv_binary64`
148×	`distribute-rgt-in_binary64`
131×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	23
1	34	23
2	77	22
3	175	21
4	412	19
5	940	19
6	1635	19
7	2686	19
8	3574	19
9	3739	19
10	3794	19
11	3804	19
12	3804	19
13	4120	19
14	4124	19
15	4124	19

Stop Event

1×

saturated

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

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 80 to 52 computations (35% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series32.0ms (0.6%)

Counts

1 → 84

Calls

21 calls:

3.0ms	(fma.f64 x y (fma.f64 a (.f64 b -1/4) (fma.f64 t (.f64 z 1/16) c)))	a	inf
2.0ms	(fma.f64 x y (fma.f64 a (.f64 b -1/4) (fma.f64 t (.f64 z 1/16) c)))	c	inf
2.0ms	(fma.f64 x y (fma.f64 a (.f64 b -1/4) (fma.f64 t (.f64 z 1/16) c)))	t	-inf
1.0ms	(fma.f64 x y (fma.f64 a (.f64 b -1/4) (fma.f64 t (.f64 z 1/16) c)))	x	0
1.0ms	(fma.f64 x y (fma.f64 a (.f64 b -1/4) (fma.f64 t (.f64 z 1/16) c)))	a	-inf

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`
239×	`log-pow_binary64`
212×	`prod-diff_binary64`
147×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	298	19
2	3427	19

Stop Event

1×	node limit

Counts

1 → 27

simplify133.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1285×	`fma-neg_binary64`
675×	`fma-def_binary64`
477×	`cancel-sign-sub-inv_binary64`
143×	`distribute-rgt-in_binary64`
134×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	1641
1	67	1501
2	155	1367
3	364	1367
4	620	1367
5	874	1367
6	1571	1367
7	2603	1367
8	3448	1367
9	3843	1367
10	3940	1367
11	3946	1367
12	3946	1367
13	4200	1367
14	4200	1367

Stop Event

1×

saturated

Counts

111 → 43

prune34.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	1	44

Error

Counts

44 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (fma.f64 y x c)))

Compiler

Compiled 770 to 413 computations (46.4% saved)

localize10.0ms (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	(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (fma.f64 y x c)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes318.0ms (6.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

15 → 1

Compiler

Compiled 4838 to 3592 computations (25.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	17	19

Stop Event

1×

saturated

end85.0ms (1.7%)

Stop Event

1×

done

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 189 to 126 computations (33.3% saved)

Details

analyze2.1s (42.9%)

sample2.0s (40.7%)

preprocess52.0ms (1%)

simplify72.0ms (1.5%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series32.0ms (0.6%)

rewrite59.0ms (1.2%)

simplify133.0ms (2.7%)

prune34.0ms (0.7%)

localize10.0ms (0.2%)

prune1.0ms (0%)

regimes318.0ms (6.4%)

simplify2.0ms (0%)

end85.0ms (1.7%)

Profiling