Details

analyze428.0ms (23.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	63.2%	2.5%	9
40.6%	52.7%	6.8%	10
48.4%	42.1%	9.5%	11
56.2%	32.3%	11.6%	12
59.1%	26.6%	14.3%	13
63.9%	20.9%	15.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample949.0ms (51.7%)

Results

812.0ms	8256×	body	128	valid
49.0ms	530×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify25.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

278×	`fma-def_binary64`
251×	`fma-neg_binary64`
71×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-in_binary64`
41×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

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 y (-.f64 z x) x)

Compiler

Compiled 34 to 17 computations (50% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)

series10.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

10.0ms

(fma.f64 y (-.f64 z x) x)

rewrite38.0ms (2%)

Algorithm

2×	batch-egg-rewrite

Rules

686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
423×	`prod-diff_binary64`
69×	`add-sqr-sqrt_binary64`
64×	`add-log-exp_binary64`

Counts

1 → 24

Calls

1 calls:

37.0ms

(fma.f64 y (-.f64 z x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1689	8
3	4956	8
0	0	0
1	0	0

simplify36.0ms (2%)

Algorithm

1×	egg-herbie

Rules

269×	`fma-neg_binary64`
241×	`fma-def_binary64`
57×	`distribute-rgt-in_binary64`
39×	`associate--r+_binary64`
37×	`sub-neg_binary64`

Counts

60 → 33

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	197	264
4	333	264
5	538	264
6	634	264
7	663	264
8	664	264
9	621	264

prune14.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

Counts

34 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))
✓	0.0b	(fma.f64 y (-.f64 z x) x)

Compiler

Compiled 351 to 109 computations (68.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))
✓	0.0b	(+.f64 (*.f64 y z) x)

series15.0ms (0.8%)

Counts

2 → 18

Calls

2 calls:

10.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))
5.0ms	(+.f64 (*.f64 y z) x)

rewrite67.0ms (3.7%)

Algorithm

2×	batch-egg-rewrite

Rules

582×	`fma-def_binary64`
504×	`log-prod_binary64`
269×	`fma-neg_binary64`
209×	`egg-rr`
176×	`expm1-udef_binary64`

Counts

2 → 209

Calls

2 calls:

63.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))
63.0ms	(+.f64 (*.f64 y z) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	185	16
2	2574	16
3	5368	16
0	0	0
1	0	0

simplify23.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

196×	`fma-def_binary64`
140×	`fma-neg_binary64`
37×	`distribute-rgt-in_binary64`
30×	`associate-r_binary64`
28×	`unsub-neg_binary64`

Counts

227 → 217

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	47	72
2	93	72
3	163	72
4	271	72
5	407	72
6	466	72
7	476	72
8	433	72

prune103.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	217	2	219

Error

Counts

219 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))
✓	0.0b	(fma.f64 y (-.f64 z x) x)

Compiler

Compiled 3576 to 890 computations (75.1% saved)

regimes70.0ms (3.8%)

Accuracy

Total 0.0b remaining (30.8%)

Threshold costs 0.0b (30.8%)

Counts

19 → 1

Compiler

Compiled 772 to 458 computations (40.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	13	11
3	14	11
4	14	11

end44.0ms (2.4%)

Compiler: Compiled 43 to 24 computations (44.2% saved)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	197	264
4	333	264
5	538	264
6	634	264
7	663	264
8	664	264
9	621	264

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	197	264
4	333	264
5	538	264
6	634	264
7	663	264
8	664	264
9	621	264

Details

analyze428.0ms (23.3%)

sample949.0ms (51.7%)

simplify25.0ms (1.3%)

prune3.0ms (0.1%)

localize5.0ms (0.3%)

series10.0ms (0.5%)

rewrite38.0ms (2%)

simplify36.0ms (2%)

prune14.0ms (0.8%)

localize5.0ms (0.3%)

series15.0ms (0.8%)

rewrite67.0ms (3.7%)

simplify23.0ms (1.2%)

prune103.0ms (5.6%)

regimes70.0ms (3.8%)

simplify2.0ms (0.1%)

end44.0ms (2.4%)

Profiling

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	197	264
4	333	264
5	538	264
6	634	264
7	663	264
8	664	264
9	621	264