Details

analyze619.0ms (34.1%)

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
18.7%	81.1%	0.1%	8
25%	71.8%	3.3%	9
34.3%	60.1%	5.6%	10
41.3%	51.5%	7.2%	11
46.8%	44.1%	9.1%	12
53.2%	35.7%	11.1%	13
58%	29.1%	12.9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample931.0ms (51.4%)

Results

839.0ms	8256×	body	128	valid
78.0ms	861×	body	128	invalid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess16.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

12×	`fma-def_binary64`
7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`distribute-lft-out_binary64`
2×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	31	28
2	47	28
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort d2 d3)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	13	7
2	19	7

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 d3))
	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 51 to 30 computations (41.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.4%)

Counts

1 → 24

Calls

9 calls:

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

rewrite38.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
682×	`prod-diff_binary64`
71×	`add-sqr-sqrt_binary64`
67×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1957	7

Stop Event

1×	node limit

Counts

1 → 26

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	168
1	11	150
2	18	150
3	20	150

Stop Event

1×

saturated

Counts

50 → 31

prune15.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

Counts

33 → 2

Alt Table

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

Compiler

Compiled 330 to 122 computations (63% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

1.0ms	(fma.f64 d1 d2 (*.f64 d1 d3))	d1	-inf
1.0ms	(fma.f64 d1 d2 (*.f64 d1 d3))	d1	inf
1.0ms	(fma.f64 d1 d2 (*.f64 d1 d3))	d1	0
1.0ms	(fma.f64 d1 d2 (*.f64 d1 d3))	d2	-inf
1.0ms	(fma.f64 d1 d2 (*.f64 d1 d3))	d3	-inf

rewrite34.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
296×	`log-prod_binary64`
176×	`prod-diff_binary64`
160×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	7
2	1426	7

Stop Event

1×	node limit

Counts

1 → 30

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	234
1	17	234
2	20	234

Stop Event

1×

saturated

Counts

66 → 34

prune11.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	2	36

Error

Counts

36 → 2

Alt Table

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

Compiler

Compiled 351 to 115 computations (67.2% saved)

regimes34.0ms (1.9%)

Accuracy

Total 0.0b remaining (70.3%)

Threshold costs 0.0b (70.3%)

Counts

6 → 1

Compiler

Compiled 224 to 142 computations (36.6% saved)

simplify4.0ms (0.2%)

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

end53.0ms (2.9%)

Stop Event

1×

done

Compiler

Compiled 53 to 30 computations (43.4% saved)

Details

analyze619.0ms (34.1%)

sample931.0ms (51.4%)

preprocess16.0ms (0.9%)

simplify7.0ms (0.4%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series8.0ms (0.4%)

rewrite38.0ms (2.1%)

simplify10.0ms (0.6%)

prune15.0ms (0.8%)

localize4.0ms (0.2%)

series8.0ms (0.5%)

rewrite34.0ms (1.9%)

simplify13.0ms (0.7%)

prune11.0ms (0.6%)

regimes34.0ms (1.9%)

simplify4.0ms (0.2%)

end53.0ms (2.9%)

Profiling