Details

analyze655.0ms (18.3%)

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)

sample414.0ms (11.6%)

Algorithm

1×

intervals

Results

308.0ms	78×	body	1024	valid
8.0ms	43×	body	512	valid
6.0ms	100×	body	128	valid
4.0ms	12×	body	2048	valid
3.0ms	23×	body	256	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify47.0ms (1.3%)

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)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts

1 → 4

Calls

1 calls:

2.0ms

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

rewrite3.0ms (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))

simplify58.0ms (1.6%)

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 → 26

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

prune13.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

Counts

27 → 2

Alt Table

Status	Error	Program
▶	22.2b	(sqrt.f64 (+.f64 2 x))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 271 to 191 computations (29.5% saved)

localize3.0ms (0.1%)

prune1.0ms (0%)

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

Counts

2 → 2

Alt Table

Status	Error	Program
✓	22.2b	(sqrt.f64 (+.f64 2 x))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes29.0ms (0.8%)

Accuracy

Total 0.0b remaining (13.2%)

Threshold costs 0.0b (13.2%)

Counts

4 → 1

Compiler

Compiled 217 to 183 computations (15.7% saved)

simplify2.0ms (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)

sample2.3s (65.5%)

Algorithm

1×

intervals

Results

1.4s	2661×	body	1024	valid
252.0ms	1298×	body	512	valid
173.0ms	3086×	body	128	valid
123.0ms	681×	body	256	valid
116.0ms	274×	body	2048	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

Details

analyze655.0ms (18.3%)

sample414.0ms (11.6%)

simplify47.0ms (1.3%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series2.0ms (0.1%)

rewrite3.0ms (0.1%)

simplify58.0ms (1.6%)

prune13.0ms (0.4%)

localize3.0ms (0.1%)

prune1.0ms (0%)

regimes29.0ms (0.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.3s (65.5%)

Profiling