Details

analyze732.0ms (16.7%)

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%	44.1%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.0s (68.2%)

Results

1.6s	2717×	body	1024	valid
671.0ms	1396×	body	512	valid
356.0ms	3189×	body	128	valid
156.0ms	680×	body	256	valid
156.0ms	274×	body	2048	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify46.0ms (1.1%)

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 2 expressions with local error:

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

series6.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(+.f64 1 (exp.f64 x))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
4×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 38

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(+.f64 1 (exp.f64 x))

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
283×	`fma-neg_binary64`
235×	`fma-def_binary64`
177×	`associate-/r/_binary64`
165×	`associate-+l+_binary64`

Counts

46 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	538
1	218	494
2	595	470
3	2140	454
4	4978	454
5	4938	454
6	5008	454

prune40.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	1	56

Error

Counts

56 → 1

Alt Table

Status	Error	Program
▶	0b	(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

Compiler

Compiled 673 to 490 computations (27.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
✓	0.0b	(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
	0.0b	(+.f64 1 (exp.f64 x))

series255.0ms (5.8%)

Counts

2 → 24

Calls

2 calls:

248.0ms	(log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
7.0ms	(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
0.0ms	(log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-/l*_binary64`
459×	`associate-/r*_binary64`
411×	`fma-def_binary64`
289×	`associate-r_binary64`
224×	`associate-l_binary64`

Counts

46 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	933
1	308	807
2	1144	759
3	4809	754
4	4997	754
5	4957	754

prune57.0ms (1.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	1	102

Error

Counts

102 → 1

Alt Table

Status	Error	Program
✓	0b	(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

Compiler

Compiled 1730 to 1399 computations (19.1% saved)

regimes43.0ms (1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

11 → 1

Compiler

Compiled 368 to 316 computations (14.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12
2	10	12

end39.0ms (0.9%)

Compiler: Compiled 24 to 21 computations (12.5% saved)

Details

analyze732.0ms (16.7%)

sample3.0s (68.2%)

simplify46.0ms (1.1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series6.0ms (0.1%)

rewrite9.0ms (0.2%)

simplify82.0ms (1.9%)

prune40.0ms (0.9%)

localize7.0ms (0.2%)

series255.0ms (5.8%)

rewrite1.0ms (0%)

simplify69.0ms (1.6%)

prune57.0ms (1.3%)

regimes43.0ms (1%)

simplify2.0ms (0%)

end39.0ms (0.9%)

Profiling