Details

analyze766.0ms (21.8%)

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)

sample2.5s (71.7%)

Results

1.4s	2770×	body	1024	valid
434.0ms	1343×	body	512	valid
352.0ms	3198×	body	128	valid
149.0ms	686×	body	256	valid
147.0ms	259×	body	2048	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify17.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

590×	`associate-/l*_binary64`
477×	`associate-/r*_binary64`
380×	`fma-def_binary64`
281×	`distribute-rgt-in_binary64`
270×	`associate-/l/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	25	13
2	34	13
3	59	13
4	127	11
5	349	8
6	1345	8

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (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

Counts

3 → 1

Alt Table

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

Compiler

Compiled 30 to 24 computations (20% saved)

localize3.0ms (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))

series5.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
1.0ms	(+.f64 1 (exp.f64 x))

rewrite38.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
347×	`unpow-prod-down_binary64`
232×	`log-prod_binary64`
140×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	119	14
2	1400	14

Stop Event

1×	node limit

Counts

2 → 100

Calls

2 calls:

36.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
36.0ms	(+.f64 1 (exp.f64 x))

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
656×	`associate-/l*_binary64`
268×	`fma-neg_binary64`
177×	`associate-/r/_binary64`
159×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	180
1	132	166
2	456	142
3	1993	130

Stop Event

1×	node limit

Counts

108 → 113

prune63.0ms (1.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	1	114

Error

Counts

114 → 1

Alt Table

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

Compiler

Compiled 1507 to 1102 computations (26.9% saved)

regimes30.0ms (0.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Compiler

Compiled 217 to 183 computations (15.7% 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	6	8
1	9	8

Stop Event

1×

saturated

end31.0ms (0.9%)

Compiler: Compiled 18 to 15 computations (16.7% saved)

Details

analyze766.0ms (21.8%)

sample2.5s (71.7%)

simplify17.0ms (0.5%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

series5.0ms (0.1%)

rewrite38.0ms (1.1%)

simplify36.0ms (1%)

prune63.0ms (1.8%)

regimes30.0ms (0.9%)

simplify2.0ms (0%)

end31.0ms (0.9%)

Profiling