Details

analyze438.0ms (25.4%)

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
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample945.0ms (54.9%)

Results

845.0ms	8212×	body	128	valid
72.0ms	720×	body	128	invalid
5.0ms	17×	body	1024	valid
4.0ms	18×	body	512	valid
2.0ms	9×	body	256	valid

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess12.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

4×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	68
1	32	68
0	3	3

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	13	17

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (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 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d1 d2 (*.f64 (+.f64 d3 5) d1))
✓	0.0b	(*.f64 (+.f64 d3 5) d1)
✓	0.0b	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))

series20.0ms (1.2%)

Counts

3 → 96

Calls

24 calls:

2.0ms	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))	d1	-inf
1.0ms	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))	d1	inf
1.0ms	(fma.f64 d1 d2 (*.f64 (+.f64 d3 5) d1))	d1	-inf
1.0ms	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))	d2	-inf
1.0ms	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))	d1	0

rewrite42.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

372×	`unpow-prod-down_binary64`
299×	`pow2_binary64`
281×	`log-prod_binary64`
212×	`pow1/3_binary64`
212×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	220	35
2	2363	35

Stop Event

1×	node limit

Counts

3 → 70

simplify15.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	904
1	37	904

Stop Event

1×

saturated

Counts

166 → 94

prune56.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	2	95

Error

Counts

95 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 37 (+.f64 d2 d3)) d1)
✓	0.0b	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))

Compiler

Compiled 1637 to 1050 computations (35.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 37 (+.f64 d2 d3)) d1)

series7.0ms (0.4%)

Counts

1 → 32

Calls

9 calls:

1.0ms	(*.f64 (+.f64 37 (+.f64 d2 d3)) d1)	d1	-inf
1.0ms	(*.f64 (+.f64 37 (+.f64 d2 d3)) d1)	d3	-inf
1.0ms	(*.f64 (+.f64 37 (+.f64 d2 d3)) d1)	d2	-inf
1.0ms	(*.f64 (+.f64 37 (+.f64 d2 d3)) d1)	d2	inf
1.0ms	(*.f64 (+.f64 37 (+.f64 d2 d3)) d1)	d3	inf

rewrite33.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
159×	`expm1-udef_binary64`
159×	`log1p-udef_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	162	10
2	1793	10

Stop Event

1×	node limit

Counts

1 → 14

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	326
1	22	326

Stop Event

1×

saturated

Counts

46 → 23

prune10.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	2	25

Error

Counts

25 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 37 (+.f64 d2 d3)) d1)
✓	0.0b	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))

Compiler

Compiled 232 to 133 computations (42.7% saved)

regimes75.0ms (4.4%)

Accuracy

Total 0.0b remaining (59.9%)

Threshold costs 0.0b (59.9%)

Counts

15 → 1

Compiler

Compiled 949 to 642 computations (32.3% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12

Stop Event

1×

saturated

end38.0ms (2.2%)

Stop Event

1×

done

Compiler

Compiled 49 to 31 computations (36.7% saved)

Details

analyze438.0ms (25.4%)

sample945.0ms (54.9%)

preprocess12.0ms (0.7%)

simplify4.0ms (0.2%)

prune3.0ms (0.2%)

localize9.0ms (0.5%)

series20.0ms (1.2%)

rewrite42.0ms (2.4%)

simplify15.0ms (0.9%)

prune56.0ms (3.3%)

localize5.0ms (0.3%)

series7.0ms (0.4%)

rewrite33.0ms (1.9%)

simplify8.0ms (0.5%)

prune10.0ms (0.6%)

regimes75.0ms (4.4%)

simplify1.0ms (0.1%)

end38.0ms (2.2%)

Profiling