Details

analyze340.0ms (22.2%)

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
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample906.0ms (59.1%)

Results

827.0ms	8256×	body	128	valid
63.0ms	610×	body	128	invalid

Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess18.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

12×	`fma-def_binary64`
7×	`*-commutative_binary64`
6×	`distribute-lft-in_binary64`
6×	`distribute-rgt-in_binary64`
5×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	18	28
2	36	28
3	56	28
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort x y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	16	7
3	24	7

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) z)

series6.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

1.0ms	(*.f64 (+.f64 x y) z)	z	-inf
1.0ms	(*.f64 (+.f64 x y) z)	z	inf
1.0ms	(*.f64 (+.f64 x y) z)	y	-inf
1.0ms	(*.f64 (+.f64 x y) z)	x	-inf
1.0ms	(*.f64 (+.f64 x y) z)	x	inf

rewrite39.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
455×	`prod-diff_binary64`
67×	`add-sqr-sqrt_binary64`
63×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1754	7

Stop Event

1×	node limit

Counts

1 → 23

simplify9.0ms (0.6%)

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

59 → 27

prune13.0ms (0.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

28 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 y z) (.f64 z x))

Compiler

Compiled 254 to 101 computations (60.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 18

Calls

9 calls:

1.0ms	(+.f64 (.f64 y z) (.f64 z x))	z	-inf
1.0ms	(+.f64 (.f64 y z) (.f64 z x))	z	inf
1.0ms	(+.f64 (.f64 y z) (.f64 z x))	y	0
1.0ms	(+.f64 (.f64 y z) (.f64 z x))	x	-inf
1.0ms	(+.f64 (.f64 y z) (.f64 z x))	z	0

rewrite43.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
140×	`log1p-udef_binary64`
77×	`add-sqr-sqrt_binary64`
72×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	149	7
2	2043	7

Stop Event

1×	node limit

Counts

1 → 41

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	108
1	15	108
2	18	108
3	20	108

Stop Event

1×

saturated

Counts

59 → 44

prune19.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	1	45

Error

Counts

45 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 z x (*.f64 y z))

Compiler

Compiled 561 to 189 computations (66.3% saved)

localize4.0ms (0.3%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 z x (*.f64 y z))

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes55.0ms (3.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

10 → 1

Compiler

Compiled 475 to 294 computations (38.1% saved)

simplify2.0ms (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

end44.0ms (2.9%)

Stop Event

1×

done

Remove

(sort x y)

Compiler

Compiled 45 to 25 computations (44.4% saved)

Details

analyze340.0ms (22.2%)

sample906.0ms (59.1%)

preprocess18.0ms (1.2%)

simplify8.0ms (0.5%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series6.0ms (0.4%)

rewrite39.0ms (2.6%)

simplify9.0ms (0.6%)

prune13.0ms (0.8%)

localize5.0ms (0.3%)

series6.0ms (0.4%)

rewrite43.0ms (2.8%)

simplify10.0ms (0.7%)

prune19.0ms (1.3%)

localize4.0ms (0.3%)

prune1.0ms (0%)

regimes55.0ms (3.6%)

simplify2.0ms (0.1%)

end44.0ms (2.9%)

Profiling