Details

analyze889.0ms (31.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample54.0ms (1.9%)

Algorithm

1×

intervals

Results

25.0ms	86×	body	1024	valid
6.0ms	36×	body	512	valid
5.0ms	105×	body	128	valid
3.0ms	10×	body	2048	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	13	8
3	11	8

prune6.0ms (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

0.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 25 to 15 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

series18.0ms (0.6%)

Counts

1 → 12

Calls

1 calls:

18.0ms

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

rewrite9.0ms (0.3%)

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 → 29

Calls

1 calls:

6.0ms

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

simplify88.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

825×	`fma-def_binary64`
587×	`div-sub_binary64`
548×	`times-frac_binary64`
500×	`fma-neg_binary64`
317×	`distribute-rgt-in_binary64`

Counts

41 → 40

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	559
1	130	521
2	292	519
3	609	519
4	1403	519
5	4001	519
6	5294	519

prune31.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	2	41

Error

0.4b

Counts

41 → 2

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	23.3b	(+.f64 1/2 (/.f64 1 x))

Compiler

Compiled 455 to 156 computations (65.7% saved)

localize12.0ms (0.4%)

prune2.0ms (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

0.4b

Counts

2 → 2

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	23.3b	(+.f64 1/2 (/.f64 1 x))

Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (1%)

Accuracy

Total 0.1b remaining (19.9%)

Threshold costs 0.1b (19.9%)

Counts

4 → 1

Compiler

Compiled 98 to 67 computations (31.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end1.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

sample1.7s (59.3%)

Algorithm

1×

intervals

Results

756.0ms	2539×	body	1024	valid
225.0ms	1313×	body	512	valid
161.0ms	3224×	body	128	valid
92.0ms	280×	body	2048	valid
76.0ms	644×	body	256	valid
0.0ms	2×	body	128	overflowed

Compiler

Compiled 28 to 20 computations (28.6% saved)

Details

analyze889.0ms (31.2%)

sample54.0ms (1.9%)

simplify11.0ms (0.4%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

series18.0ms (0.6%)

rewrite9.0ms (0.3%)

simplify88.0ms (3.1%)

prune31.0ms (1.1%)

localize12.0ms (0.4%)

prune2.0ms (0.1%)

regimes29.0ms (1%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.7s (59.3%)

Profiling