Details

analyze5.0ms (0.4%)

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)

sample59.0ms (3.9%)

Algorithm

1×

intervals

Results

17.0ms	87×	body	1024	valid
4.0ms	41×	body	512	valid
3.0ms	25×	body	256	valid
3.0ms	93×	body	128	valid
2.0ms	10×	body	2048	valid

Compiler

Compiled 16 to 12 computations (25% saved)

simplify17.0ms (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)

localize5.0ms (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)

rewrite4.0ms (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)

simplify62.0ms (4%)

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

prune42.0ms (2.7%)

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)
▶	0.0b	(/.f64 1 (/.f64 x (expm1.f64 x)))

Compiler

Compiled 421 to 165 computations (60.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.9%)

Counts

2 → 24

Calls

2 calls:

8.0ms	(/.f64 x (expm1.f64 x))
5.0ms	(/.f64 1 (/.f64 x (expm1.f64 x)))

rewrite14.0ms (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:

5.0ms	(/.f64 1 (/.f64 x (expm1.f64 x)))
2.0ms	(/.f64 x (expm1.f64 x))

simplify96.0ms (6.2%)

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 → 155

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1849
1	254	1614
2	662	1580
3	1739	1565
4	4503	1565
5	4942	1565

prune61.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	155	2	157

Error

Counts

157 → 2

Alt Table

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

Compiler

Compiled 2074 to 851 computations (59% saved)

regimes23.0ms (1.5%)

Accuracy

Total 0.0b remaining (51.4%)

Threshold costs 0.0b (51.4%)

Counts

8 → 1

Compiler

Compiled 145 to 109 computations (24.8% 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)

sample1.1s (73.1%)

Algorithm

1×

intervals

Results

503.0ms	2642×	body	1024	valid
137.0ms	1302×	body	512	valid
96.0ms	3113×	body	128	valid
71.0ms	686×	body	256	valid
54.0ms	257×	body	2048	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

analyze5.0ms (0.4%)

sample59.0ms (3.9%)

simplify17.0ms (1.1%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite4.0ms (0.2%)

simplify62.0ms (4%)

prune42.0ms (2.7%)

localize4.0ms (0.2%)

series13.0ms (0.9%)

rewrite14.0ms (0.9%)

simplify96.0ms (6.2%)

prune61.0ms (4%)

regimes23.0ms (1.5%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (73.1%)

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