Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample65.0ms (3.6%)

Algorithm

1×

intervals

Results

18.0ms	93×	body	1024	valid
3.0ms	112×	body	128	valid
3.0ms	29×	body	512	valid
2.0ms	5×	body	2048	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 16 to 12 computations (25% saved)

simplify19.0ms (1.1%)

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)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(/.f64 (expm1.f64 x) x)
2.0ms	(expm1.f64 x)

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 41

Calls

2 calls:

9.0ms	(/.f64 (expm1.f64 x) x)
0.0ms	(expm1.f64 x)

simplify69.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

665×	`times-frac_binary64`
521×	`fma-def_binary64`
383×	`associate-l_binary64`
337×	`associate-/l*_binary64`
246×	`associate-/r*_binary64`

Counts

65 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	597
1	173	562
2	420	559
3	1073	546
4	4307	546
5	4968	546

prune27.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Error

Counts

62 → 2

Alt Table

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

Compiler

Compiled 590 to 250 computations (57.6% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 x)
✓	0.0b	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	0.0b	(/.f64 x (expm1.f64 x))

series16.0ms (0.9%)

Counts

2 → 24

Calls

2 calls:

9.0ms	(/.f64 x (expm1.f64 x))
7.0ms	(/.f64 1 (/.f64 x (expm1.f64 x)))

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 107

Calls

2 calls:

4.0ms	(/.f64 1 (/.f64 x (expm1.f64 x)))
2.0ms	(/.f64 x (expm1.f64 x))

simplify95.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-def_binary64`
424×	`associate-/l/_binary64`
353×	`distribute-rgt-in_binary64`
343×	`distribute-lft-in_binary64`
257×	`fma-neg_binary64`

Counts

131 → 153

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1825
1	254	1614
2	662	1580
3	1739	1565
4	4503	1565
5	4942	1565

prune88.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	172	2	174

Error

Counts

174 → 2

Alt Table

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

Compiler

Compiled 2256 to 966 computations (57.2% saved)

regimes30.0ms (1.7%)

Accuracy

Total 0.0b remaining (61.2%)

Threshold costs 0.0b (61.2%)

Counts

9 → 1

Compiler

Compiled 181 to 135 computations (25.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	8	9
2	7	9

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample1.3s (73.9%)

Algorithm

1×

intervals

Results

564.0ms	2676×	body	1024	valid
157.0ms	1338×	body	512	valid
154.0ms	3049×	body	128	valid
73.0ms	275×	body	2048	valid
56.0ms	662×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% 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

analyze4.0ms (0.2%)

sample65.0ms (3.6%)

simplify19.0ms (1.1%)

prune3.0ms (0.2%)

localize3.0ms (0.1%)

series5.0ms (0.3%)

rewrite11.0ms (0.6%)

simplify69.0ms (3.9%)

prune27.0ms (1.5%)

localize10.0ms (0.6%)

series16.0ms (0.9%)

rewrite16.0ms (0.9%)

simplify95.0ms (5.4%)

prune88.0ms (4.9%)

regimes30.0ms (1.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (73.9%)

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