Details

analyze418.0ms (19.9%)

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)

sample1.1s (52.1%)

Results

845.0ms	8256×	body	128	valid
164.0ms	588×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify27.0ms (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 (-.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:

7.0ms

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

rewrite43.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

23× egg-rr

Counts

1 → 23

Calls

2 calls:

42.0ms	((fma.f64 (-.f64 y x) z x))
0.0ms	()

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

simplify33.0ms (1.6%)

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

59 → 34

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

prune19.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

Counts

35 → 2

Alt Table

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

Compiler

Compiled 354 to 112 computations (68.4% saved)

localize6.0ms (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)

series12.0ms (0.6%)

Counts

2 → 18

Calls

2 calls:

7.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 z x))
5.0ms	(+.f64 (*.f64 y z) x)

rewrite182.0ms (8.7%)

Algorithm

2×	batch-egg-rewrite

Rules

208× egg-rr

Counts

2 → 208

Calls

2 calls:

178.0ms	((+.f64 (.f64 y z) x) (-.f64 (+.f64 (.f64 y z) x) (*.f64 z x)))
0.0ms	()

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

simplify27.0ms (1.3%)

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

226 → 216

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

prune96.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	216	2	218

Error

Counts

218 → 2

Alt Table

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

Compiler

Compiled 3568 to 891 computations (75% saved)

regimes73.0ms (3.5%)

Accuracy

Total 0.0b remaining (65.2%)

Threshold costs 0.0b (65.2%)

Counts

20 → 1

Compiler

Compiled 796 to 474 computations (40.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	13	8
3	15	8
4	16	8
5	16	8

end52.0ms (2.5%)

Compiler: Compiled 39 to 22 computations (43.6% 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

analyze418.0ms (19.9%)

sample1.1s (52.1%)

simplify27.0ms (1.3%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite43.0ms (2.1%)

simplify33.0ms (1.6%)

prune19.0ms (0.9%)

localize6.0ms (0.3%)

series12.0ms (0.6%)

rewrite182.0ms (8.7%)

simplify27.0ms (1.3%)

prune96.0ms (4.6%)

regimes73.0ms (3.5%)

simplify2.0ms (0.1%)

end52.0ms (2.5%)

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