Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25.7%	74.3%	0
25.7%	0%	74.3%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (81.8%)

Results

716.0ms	5415×	body	128	valid
453.0ms	1051×	body	1024	valid
388.0ms	1093×	body	512	valid
155.0ms	681×	body	256	valid
9.0ms	16×	body	2048	valid

Compiler

Compiled 52 to 38 computations (26.9% saved)

preprocess38.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

497×	`associate-l_binary64`
409×	`associate-r_binary64`
202×	`fma-neg_binary64`
186×	`cancel-sign-sub-inv_binary64`
176×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	32	26
2	76	26
3	262	26
4	1173	20
5	4317	20
0	2	2

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify19.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

517×	`cancel-sign-sub-inv_binary64`
510×	`fma-neg_binary64`
430×	`fma-def_binary64`
372×	`unswap-sqr_binary64`
269×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	49	13
3	166	13
4	657	8
5	2742	8

Stop Event

1×	node limit

Counts

1 → 2

prune5.0ms (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 eps (fma.f64 2 x eps))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))

series5.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(*.f64 eps (fma.f64 2 x eps))	eps	-inf
1.0ms	(*.f64 eps (fma.f64 2 x eps))	eps	inf
1.0ms	(*.f64 eps (fma.f64 2 x eps))	eps	0
1.0ms	(*.f64 eps (fma.f64 2 x eps))	x	-inf
1.0ms	(*.f64 eps (fma.f64 2 x eps))	x	inf

rewrite38.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`
314×	`unpow-prod-down_binary64`
268×	`log-prod_binary64`
153×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	120	8
2	1374	8

Stop Event

1×	node limit

Counts

1 → 21

simplify66.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

564×	`fma-def_binary64`
469×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
370×	`sqr-pow_binary64`
292×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	231
1	19	231
2	37	213
3	75	177
4	168	177
5	464	177
6	1534	177
7	2777	177
8	3132	177
9	3354	177
10	3576	177
11	3880	177
12	4302	177
13	4812	177

Stop Event

1×	node limit

Counts

45 → 27

prune18.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

0.0b

Counts

28 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 eps (.f64 2 x) (.f64 eps eps))
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 269 to 167 computations (37.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 eps (.f64 2 x) (.f64 eps eps))

series6.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(fma.f64 eps (.f64 2 x) (.f64 eps eps))	eps	inf
1.0ms	(fma.f64 eps (.f64 2 x) (.f64 eps eps))	eps	-inf
1.0ms	(fma.f64 eps (.f64 2 x) (.f64 eps eps))	eps	0
1.0ms	(fma.f64 eps (.f64 2 x) (.f64 eps eps))	x	-inf
1.0ms	(fma.f64 eps (.f64 2 x) (.f64 eps eps))	x	0

rewrite36.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log1p-expm1-u_binary64`
567×	`expm1-log1p-u_binary64`
306×	`log-prod_binary64`
122×	`prod-diff_binary64`
120×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	139	10
2	1587	8

Stop Event

1×	node limit

Counts

1 → 30

simplify63.0ms (3%)

Algorithm

1×	egg-herbie

Rules

564×	`fma-def_binary64`
469×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
370×	`sqr-pow_binary64`
292×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	231
1	19	231
2	37	213
3	75	177
4	168	177
5	464	177
6	1534	177
7	2777	177
8	3132	177
9	3354	177
10	3576	177
11	3880	177
12	4302	177
13	4812	177

Stop Event

1×	node limit

Counts

54 → 35

prune16.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	2	37

Error

0.0b

Counts

37 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 eps (.f64 2 x) (.f64 eps eps))
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 419 to 223 computations (46.8% saved)

regimes26.0ms (1.2%)

Accuracy

Total 0.0b remaining (87%)

Threshold costs 0.0b (87%)

Counts

8 → 1

Compiler

Compiled 226 to 156 computations (31% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

end37.0ms (1.7%)

Stop Event

1×

done

Compiler

Compiled 34 to 21 computations (38.2% saved)

Details

analyze1.0ms (0%)

sample1.7s (81.8%)

preprocess38.0ms (1.8%)

simplify19.0ms (0.9%)

prune5.0ms (0.2%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite38.0ms (1.8%)

simplify66.0ms (3.1%)

prune18.0ms (0.9%)

localize5.0ms (0.2%)

series6.0ms (0.3%)

rewrite36.0ms (1.7%)

simplify63.0ms (3%)

prune16.0ms (0.7%)

regimes26.0ms (1.2%)

simplify3.0ms (0.1%)

end37.0ms (1.7%)

Profiling