Details

analyze32.0ms (1.8%)

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)

sample32.0ms (1.8%)

Algorithm

1×

intervals

Results

13.0ms	76×	body	1024	valid
5.0ms	112×	body	128	valid
4.0ms	37×	body	512	valid
2.0ms	10×	body	2048	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 16 to 12 computations (25% saved)

simplify20.0ms (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 → 1

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 (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 15 to 9 computations (40% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

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)

Compiler

Compiled 298 to 94 computations (68.5% saved)

series11.0ms (0.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

7.0ms

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

Compiler

Compiled 119 to 94 computations (21% saved)

simplify69.0ms (3.9%)

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

36 → 12

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	432
1	144	404
2	345	401
3	884	394
4	4051	394
5	5063	394

prune8.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	2	13

Error

0.0b

Counts

13 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	23.5b	(fma.f64 x (fma.f64 x 1/6 1/2) 1)

Compiler

Compiled 90 to 49 computations (45.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(fma.f64 x (fma.f64 x 1/6 1/2) 1)
0.1b	(fma.f64 x 1/6 1/2)

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma.f64 x 1/6 1/2)
0.0ms	(fma.f64 x (fma.f64 x 1/6 1/2) 1)

Compiler

Compiled 244 to 189 computations (22.5% saved)

series23.0ms (1.3%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

14.0ms	(fma.f64 x (fma.f64 x 1/6 1/2) 1)
6.0ms	(fma.f64 x 1/6 1/2)

Compiler

Compiled 235 to 188 computations (20% saved)

simplify110.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

590×	`distribute-rgt-out_binary64`
503×	`sqr-pow_binary64`
365×	`*-commutative_binary64`
298×	`distribute-rgt-in_binary64`
294×	`distribute-lft-in_binary64`

Counts

35 → 27

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	341
1	55	285
2	110	284
3	337	284
4	1484	284
5	2130	284
6	2811	284
7	3949	284
8	4978	284
9	4992	284
10	4895	284

prune10.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	27	2	29

Error

0.0b

Counts

29 → 2

Alt Table

Status	Error	Program
	0.0b	(/.f64 (expm1.f64 x) x)
	23.5b	(fma.f64 x (fma.f64 x 1/6 1/2) 1)

Compiler

Compiled 220 to 168 computations (23.6% saved)

regimes29.0ms (1.6%)

Accuracy

Total 0.0b remaining (57%)

Threshold costs 0.0b (57%)

Compiler

Compiled 225 to 153 computations (32% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	4	6

end0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

sample1.4s (78.4%)

Algorithm

1×

intervals

Results

751.0ms	2624×	body	1024	valid
166.0ms	1279×	body	512	valid
97.0ms	3152×	body	128	valid
61.0ms	280×	body	2048	valid
45.0ms	665×	body	256	valid

Compiler

Compiled 27 to 19 computations (29.6% 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

analyze32.0ms (1.8%)

sample32.0ms (1.8%)

simplify20.0ms (1.1%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite15.0ms (0.8%)

series11.0ms (0.6%)

simplify69.0ms (3.9%)

prune8.0ms (0.4%)

localize4.0ms (0.2%)

rewrite14.0ms (0.8%)

series23.0ms (1.3%)

simplify110.0ms (6.2%)

prune10.0ms (0.6%)

regimes29.0ms (1.6%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample1.4s (78.4%)

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