Details

analyze431.0ms (18.9%)

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
31.2%	68.6%	0.1%	9
40.6%	52.7%	6.8%	10
48.4%	42.1%	9.5%	11
54.2%	35.5%	10.3%	12
59.1%	26.6%	14.3%	13
63.9%	20.9%	15.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (55.8%)

Results

1.1s	8256×	body	128	valid
60.0ms	556×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify28.0ms (1.2%)

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 (-.f64 y x) z x)

Compiler

Compiled 34 to 17 computations (50% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite44.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
423×	`prod-diff_binary64`
126×	`log1p-udef_binary64`
69×	`add-sqr-sqrt_binary64`

Counts

1 → 24

Calls

1 calls:

43.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1683	8
3	5161	8
0	0	0
1	0	0

simplify31.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

275×	`fma-neg_binary64`
255×	`fma-def_binary64`
63×	`distribute-rgt-in_binary64`
36×	`cancel-sign-sub-inv_binary64`
36×	`unsub-neg_binary64`

Counts

60 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	345
1	54	318
2	111	318
3	184	264
4	358	264
5	564	264
6	642	264
7	666	264
8	623	264

prune17.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Alt Table

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

Compiler

Compiled 360 to 112 computations (68.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.6%)

Counts

2 → 18

Calls

2 calls:

7.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 z x))
7.0ms	(+.f64 (*.f64 y z) x)

rewrite68.0ms (3%)

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:

62.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 z x))
62.0ms	(+.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

simplify22.0ms (1%)

Algorithm

1×	egg-herbie

Rules

212×	`fma-def_binary64`
140×	`fma-neg_binary64`
43×	`distribute-rgt-in_binary64`
33×	`associate-r_binary64`
31×	`unsub-neg_binary64`

Counts

227 → 217

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	47	72
2	97	72
3	158	72
4	292	72
5	420	72
6	469	72
7	478	72
8	435	72

prune214.0ms (9.4%)

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

Compiler

Compiled 3576 to 891 computations (75.1% saved)

regimes74.0ms (3.2%)

Accuracy

Total 0.0b remaining (25%)

Threshold costs 0.0b (25%)

Counts

20 → 1

Compiler

Compiled 796 to 474 computations (40.5% saved)

simplify4.0ms (0.2%)

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

end42.0ms (1.9%)

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	111	318
3	184	264
4	358	264
5	564	264
6	642	264
7	666	264
8	623	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	111	318
3	184	264
4	358	264
5	564	264
6	642	264
7	666	264
8	623	264

Details

analyze431.0ms (18.9%)

sample1.3s (55.8%)

simplify28.0ms (1.2%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite44.0ms (1.9%)

simplify31.0ms (1.4%)

prune17.0ms (0.7%)

localize7.0ms (0.3%)

series13.0ms (0.6%)

rewrite68.0ms (3%)

simplify22.0ms (1%)

prune214.0ms (9.4%)

regimes74.0ms (3.2%)

simplify4.0ms (0.2%)

end42.0ms (1.9%)

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	111	318
3	184	264
4	358	264
5	564	264
6	642	264
7	666	264
8	623	264