Details

analyze398.0ms (25.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
46.8%	47.6%	5.6%	10
53.8%	40.2%	6%	11
57.3%	33.7%	8.9%	12
66.9%	23.9%	9.2%	13
70.3%	20.3%	9.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample848.0ms (55.1%)

Results

790.0ms	8254×	body	128	valid
28.0ms	302×	body	128	invalid
1.0ms	2×	body	1024	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	11
2	25	11
3	29	11

Stop Event

1×

saturated

Counts

1 → 2

prune8.0ms (0.5%)

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 (/.f64 x 2) (fma.f64 x y z))

Compiler

Compiled 42 to 26 computations (38.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x 2) (fma.f64 x y z))

series7.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(+.f64 (/.f64 x 2) (fma.f64 x y z))

rewrite45.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`expm1-log1p-u_binary64`
803×	`prod-diff_binary64`
91×	`add-sqr-sqrt_binary64`
87×	`log1p-expm1-u_binary64`
86×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	178	9
2	2359	9

Stop Event

1×	node limit

Counts

1 → 36

Calls

1 calls:

44.0ms

(+.f64 (/.f64 x 2) (fma.f64 x y z))

simplify12.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	336
1	24	280
2	37	253
3	41	253

Stop Event

1×

saturated

Counts

72 → 45

prune26.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Error

Counts

46 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 x 2) (fma.f64 x y z))
▶	0.0b	(fma.f64 x (+.f64 y 1/2) z)

Compiler

Compiled 671 to 324 computations (51.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y 1/2) z)

series6.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(fma.f64 x (+.f64 y 1/2) z)

rewrite33.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
139×	`expm1-udef_binary64`
139×	`log1p-udef_binary64`
136×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	150	8
2	1861	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

1 calls:

33.0ms

(fma.f64 x (+.f64 y 1/2) z)

simplify11.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	336
1	24	280
2	37	253
3	41	253

Stop Event

1×

saturated

Counts

59 → 32

prune12.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	2	34

Error

Counts

34 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 x 2) (fma.f64 x y z))
✓	0.0b	(fma.f64 x (+.f64 y 1/2) z)

Compiler

Compiled 330 to 206 computations (37.6% saved)

regimes72.0ms (4.7%)

Accuracy

Total 0.0b remaining (83.3%)

Threshold costs 0.0b (83.3%)

Counts

11 → 1

Compiler

Compiled 569 to 393 computations (30.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9

Stop Event

1×

saturated

end42.0ms (2.8%)

Compiler: Compiled 40 to 25 computations (37.5% saved)

Details

analyze398.0ms (25.9%)

sample848.0ms (55.1%)

simplify6.0ms (0.4%)

prune8.0ms (0.5%)

localize5.0ms (0.3%)

series7.0ms (0.5%)

rewrite45.0ms (2.9%)

simplify12.0ms (0.8%)

prune26.0ms (1.7%)

localize4.0ms (0.3%)

series6.0ms (0.4%)

rewrite33.0ms (2.2%)

simplify11.0ms (0.7%)

prune12.0ms (0.8%)

regimes72.0ms (4.7%)

simplify2.0ms (0.1%)

end42.0ms (2.8%)

Profiling