Details

analyze469.0ms (23.4%)

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)

sample56.0ms (2.8%)

Algorithm

1×

intervals

Results

17.0ms	83×	body	1024	valid
7.0ms	49×	body	512	valid
3.0ms	86×	body	128	valid
3.0ms	27×	body	256	valid
2.0ms	11×	body	2048	valid

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify15.0ms (0.7%)

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

prune4.0ms (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 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 25 to 15 computations (40% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 12

Calls

1 calls:

11.0ms

(/.f64 (exp.f64 x) (expm1.f64 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 → 29

Calls

1 calls:

3.0ms

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

simplify88.0ms (4.4%)

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

prune18.0ms (0.9%)

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

Counts

41 → 2

Alt Table

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

Compiler

Compiled 459 to 158 computations (65.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series18.0ms (0.9%)

Counts

2 → 24

Calls

2 calls:

9.0ms	(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
8.0ms	(/.f64 1 (expm1.f64 x))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

2 → 71

Calls

2 calls:

7.0ms	(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
2.0ms	(/.f64 1 (expm1.f64 x))

simplify127.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-neg_binary64`
461×	`fma-def_binary64`
434×	`associate-/l*_binary64`
309×	`associate-/l/_binary64`
278×	`distribute-rgt-in_binary64`

Counts

95 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1002
1	180	897
2	435	895
3	857	895
4	2060	895
5	4338	895
6	4886	895

prune51.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Error

Counts

109 → 2

Alt Table

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

Compiler

Compiled 1348 to 662 computations (50.9% saved)

regimes29.0ms (1.4%)

Accuracy

Total 0.0b remaining (1%)

Threshold costs 0.0b (1%)

Counts

8 → 1

Compiler

Compiled 197 to 145 computations (26.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11
2	9	11

end1.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

sample1.1s (54.4%)

Algorithm

1×

intervals

Results

483.0ms	2666×	body	1024	valid
152.0ms	1321×	body	512	valid
98.0ms	3070×	body	128	valid
59.0ms	287×	body	2048	valid
54.0ms	656×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 32 to 23 computations (28.1% saved)

Details

analyze469.0ms (23.4%)

sample56.0ms (2.8%)

simplify15.0ms (0.7%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

series11.0ms (0.5%)

rewrite4.0ms (0.2%)

simplify88.0ms (4.4%)

prune18.0ms (0.9%)

localize6.0ms (0.3%)

series18.0ms (0.9%)

rewrite13.0ms (0.6%)

simplify127.0ms (6.3%)

prune51.0ms (2.5%)

regimes29.0ms (1.4%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample1.1s (54.4%)

Profiling