Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.4s (89.5%)

Results

541.0ms	2080×	body	1024	valid
434.0ms	1024×	body	512	valid
321.0ms	4403×	body	128	valid
59.0ms	230×	body	2048	valid
53.0ms	519×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify20.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	38	6
6	57	6
7	86	6
8	113	6
9	154	6
10	224	6
11	261	6
12	297	6
13	300	6
14	263	6

prune3.0ms (0.2%)

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	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(/.f64 (expm1.f64 x) x)

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 30

Calls

1 calls:

2.0ms

(/.f64 (expm1.f64 x) x)

simplify59.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

665×	`times-frac_binary64`
337×	`associate-/l*_binary64`
285×	`fma-def_binary64`
269×	`associate-l_binary64`
256×	`fma-neg_binary64`

Counts

42 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	468
1	144	440
2	345	437
3	884	430
4	4051	430
5	5063	430

prune16.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	32.3b	(fma.f64 1/2 x 1)

Compiler

Compiled 417 to 163 computations (60.9% saved)

localize2.0ms (0.2%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	32.3b	(fma.f64 1/2 x 1)

Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (1.2%)

Accuracy

Total 0.0b remaining (47.4%)

Threshold costs 0.0b (47.4%)

Counts

5 → 1

Compiler

Compiled 91 to 67 computations (26.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	4	6

end33.0ms (2.1%)

Compiler: Compiled 20 to 13 computations (35% saved)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	38	6
6	57	6
7	86	6
8	113	6
9	154	6
10	224	6
11	261	6
12	297	6
13	300	6
14	263	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	38	6
6	57	6
7	86	6
8	113	6
9	154	6
10	224	6
11	261	6
12	297	6
13	300	6
14	263	6

Details

analyze2.0ms (0.1%)

sample1.4s (89.5%)

simplify20.0ms (1.2%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series3.0ms (0.2%)

rewrite3.0ms (0.2%)

simplify59.0ms (3.7%)

prune16.0ms (1%)

localize2.0ms (0.2%)

prune1.0ms (0.1%)

regimes20.0ms (1.2%)

simplify2.0ms (0.1%)

end33.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	38	6
6	57	6
7	86	6
8	113	6
9	154	6
10	224	6
11	261	6
12	297	6
13	300	6
14	263	6