Details

analyze735.0ms (24.3%)

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
25%	74.9%	0.1%	8
28.1%	68.6%	3.3%	9
40.6%	52.3%	7.2%	10
49.1%	42.1%	8.7%	11
51.5%	37.3%	11.3%	12
59.1%	27.1%	13.8%	13
63.7%	21.9%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.6s (53.4%)

Results

1.4s	8256×	body	128	valid
106.0ms	699×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify42.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
250×	`fma-neg_binary64`
52×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
43×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
▶	0.0b	(fma.f64 x (-.f64 y z) z)

Compiler

Compiled 60 to 36 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

11.0ms

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

rewrite61.0ms (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 → 23

Calls

1 calls:

60.0ms

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

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

simplify49.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

261×	`fma-neg_binary64`
242×	`fma-def_binary64`
57×	`distribute-rgt-in_binary64`
36×	`associate--r+_binary64`
35×	`cancel-sign-sub-inv_binary64`

Counts

59 → 33

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	187	264
4	326	264
5	533	264
6	634	264
7	663	264
8	664	264
9	621	264

prune30.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
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 x y) (.f64 (-.f64 1 x) z))
✓	0.0b	(fma.f64 x (-.f64 y z) z)

Compiler

Compiled 351 to 110 computations (68.7% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

series23.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

16.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
7.0ms	(*.f64 (-.f64 1 x) z)

rewrite89.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
382×	`fma-def_binary64`
176×	`pow1/3_binary64`
174×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`

Counts

2 → 99

Calls

2 calls:

86.0ms	(*.f64 (-.f64 1 x) z)
85.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2443	18
3	4990	18
0	0	0
1	0	0

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

261×	`fma-neg_binary64`
244×	`fma-def_binary64`
56×	`distribute-rgt-in_binary64`
35×	`associate--r+_binary64`
35×	`cancel-sign-sub-inv_binary64`

Counts

147 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	421
1	58	394
2	107	394
3	190	340
4	326	340
5	533	340
6	634	340
7	663	340
8	664	340
9	621	340

prune99.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Error

Counts

113 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	0.0b	(fma.f64 x (-.f64 y z) z)

Compiler

Compiled 1617 to 847 computations (47.6% saved)

regimes99.0ms (3.3%)

Accuracy

Total 0.0b remaining (64.4%)

Threshold costs 0.0b (64.4%)

Counts

13 → 1

Compiler

Compiled 520 to 338 computations (35% saved)

simplify4.0ms (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

end77.0ms (2.5%)

Compiler: Compiled 39 to 23 computations (41% saved)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	187	264
4	326	264
5	533	264
6	634	264
7	663	264
8	664	264
9	621	264

Iter	Nodes	Cost
0	22	421
1	58	394
2	107	394
3	190	340
4	326	340
5	533	340
6	634	340
7	663	340
8	664	340
9	621	340

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	187	264
4	326	264
5	533	264
6	634	264
7	663	264
8	664	264
9	621	264

Iter	Nodes	Cost
0	22	421
1	58	394
2	107	394
3	190	340
4	326	340
5	533	340
6	634	340
7	663	340
8	664	340
9	621	340

Details

analyze735.0ms (24.3%)

sample1.6s (53.4%)

simplify42.0ms (1.4%)

prune5.0ms (0.2%)

localize7.0ms (0.2%)

series11.0ms (0.4%)

rewrite61.0ms (2%)

simplify49.0ms (1.6%)

prune30.0ms (1%)

localize10.0ms (0.3%)

series23.0ms (0.8%)

rewrite89.0ms (2.9%)

simplify71.0ms (2.4%)

prune99.0ms (3.3%)

regimes99.0ms (3.3%)

simplify4.0ms (0.1%)

end77.0ms (2.5%)

Profiling

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	187	264
4	326	264
5	533	264
6	634	264
7	663	264
8	664	264
9	621	264

Iter	Nodes	Cost
0	22	421
1	58	394
2	107	394
3	190	340
4	326	340
5	533	340
6	634	340
7	663	340
8	664	340
9	621	340