Details

analyze1.2s (28.6%)

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%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample59.0ms (1.4%)

Algorithm

1×

intervals

Results

31.0ms	94×	body	1024	valid
9.0ms	48×	body	512	valid
7.0ms	89×	body	128	valid
3.0ms	22×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

667×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
380×	`fma-def_binary64`
279×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	25	13
2	34	13
3	59	13
4	123	11
5	318	8
6	1056	8
7	4350	8
8	4987	8

prune3.0ms (0.1%)

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	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 30 to 24 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

3.0ms

(+.f64 1 (exp.f64 x))

series2.0ms (0%)

Counts

1 → 4

Calls

1 calls:

2.0ms

(+.f64 1 (exp.f64 x))

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-neg_binary64`
576×	`unswap-sqr_binary64`
555×	`associate-r_binary64`
416×	`associate-+l+_binary64`
344×	`fma-def_binary64`

Counts

21 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	181
1	109	161
2	216	161
3	498	154
4	1201	154
5	2657	154
6	4636	154
7	5022	154

prune17.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 273 to 193 computations (29.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (exp.f64 x))
✓	0.0b	(exp.f64 (log1p.f64 (exp.f64 x)))

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`exp-prod_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 25

Calls

2 calls:

1.0ms	(exp.f64 (log1p.f64 (exp.f64 x)))
0.0ms	(log1p.f64 (exp.f64 x))

series579.0ms (13.7%)

Counts

2 → 24

Calls

2 calls:

316.0ms	(log1p.f64 (exp.f64 x))
263.0ms	(exp.f64 (log1p.f64 (exp.f64 x)))

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

491×	`distribute-rgt-neg-in_binary64`
441×	`fma-neg_binary64`
342×	`cancel-sign-sub-inv_binary64`
313×	`*-commutative_binary64`
225×	`distribute-lft-neg-in_binary64`

Counts

49 → 83

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	60	397
1	122	356
2	275	350
3	905	350
4	1685	350
5	3593	349
6	4535	349
7	4987	349
8	4857	349

prune22.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	2	85

Error

Counts

85 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 477 to 291 computations (39% saved)

regimes38.0ms (0.9%)

Accuracy

Total 0.0b remaining (29.6%)

Threshold costs 0.0b (29.6%)

Compiler

Compiled 320 to 271 computations (15.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

sample2.1s (48.9%)

Algorithm

1×

intervals

Results

1.1s	2657×	body	1024	valid
262.0ms	1310×	body	512	valid
192.0ms	3101×	body	128	valid
113.0ms	269×	body	2048	valid
89.0ms	663×	body	256	valid

Compiler

Compiled 33 to 28 computations (15.2% saved)

Details

analyze1.2s (28.6%)

sample59.0ms (1.4%)

simplify49.0ms (1.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite4.0ms (0.1%)

series2.0ms (0%)

simplify65.0ms (1.5%)

prune17.0ms (0.4%)

localize6.0ms (0.1%)

rewrite2.0ms (0.1%)

series579.0ms (13.7%)

simplify99.0ms (2.3%)

prune22.0ms (0.5%)

regimes38.0ms (0.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (48.9%)

Profiling