Details

analyze488.0ms (21.9%)

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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.4%	10.1%	12
55%	30.3%	14.7%	13
59.5%	25.4%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample863.0ms (38.7%)

Results

792.0ms	8254×	body	128	valid
56.0ms	586×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess42.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

1050×	`fma-def_binary64`
630×	`fma-neg_binary64`
372×	`distribute-rgt-in_binary64`
231×	`unsub-neg_binary64`
222×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	30	40
2	82	40
3	226	40
4	705	40
5	1931	40
6	3351	40
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Symmetry

(sort x y)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify34.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
467×	`fma-def_binary64`
145×	`distribute-rgt-in_binary64`
132×	`cancel-sign-sub-inv_binary64`
117×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	82	10
4	261	10
5	703	10
6	1218	10
7	1946	10
8	2497	10
9	2820	10
10	2855	10
11	2855	10

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) (-.f64 1 z))

Compiler

Compiled 30 to 21 computations (30% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

series10.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

4.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))	y	-inf
1.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))	x	-inf
1.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))	y	inf
1.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))	x	inf
1.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))	x	0

rewrite41.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`expm1-log1p-u_binary64`
587×	`prod-diff_binary64`
87×	`add-sqr-sqrt_binary64`
83×	`add-cbrt-cube_binary64`
83×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	10
2	2330	10

Stop Event

1×	node limit

Counts

1 → 37

simplify53.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
748×	`fma-neg_binary64`
135×	`sub-neg_binary64`
119×	`distribute-rgt-in_binary64`
113×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	415
1	42	334
2	117	334
3	246	334
4	586	334
5	1375	334
6	2392	334
7	2889	334
8	2924	334
9	2926	334
10	2926	334

Stop Event

1×

saturated

Counts

73 → 46

prune25.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Error

0.0b

Counts

47 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
▶	0.0b	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))

Compiler

Compiled 640 to 324 computations (49.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series16.0ms (0.7%)

Counts

2 → 27

Calls

18 calls:

3.0ms	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))	y	inf
1.0ms	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))	y	-inf
1.0ms	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))	x	-inf
1.0ms	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))	x	inf
1.0ms	(-.f64 (+.f64 y x) (+.f64 (.f64 y z) (.f64 z x)))	y	0

rewrite70.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`fma-def_binary64`
390×	`fma-neg_binary64`
206×	`expm1-udef_binary64`
206×	`log1p-udef_binary64`
201×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	214	20
2	3455	20

Stop Event

1×	node limit

Counts

2 → 201

simplify26.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

292×	`fma-def_binary64`
155×	`fma-neg_binary64`
49×	`distribute-rgt-in_binary64`
46×	`associate-l_binary64`
43×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	172
1	59	172
2	140	172
3	245	172
4	493	172
5	838	172
6	1040	172
7	1049	172

Stop Event

1×

saturated

Counts

228 → 218

prune123.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	218	2	220

Error

Counts

220 → 2

Alt Table

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

Compiler

Compiled 4394 to 943 computations (78.5% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series15.0ms (0.7%)

Counts

2 → 72

Calls

18 calls:

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

rewrite63.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`log-prod_binary64`
461×	`fma-def_binary64`
240×	`fma-neg_binary64`
176×	`expm1-udef_binary64`
176×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	182	20
2	2712	20

Stop Event

1×	node limit

Counts

2 → 155

simplify47.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-neg_binary64`
532×	`fma-def_binary64`
103×	`cancel-sign-sub-inv_binary64`
94×	`distribute-rgt-in_binary64`
82×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	649
1	70	568
2	178	568
3	341	568
4	899	568
5	2131	568
6	2621	568
7	2697	568

Stop Event

1×

saturated

Counts

227 → 175

prune72.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	175	2	177

Error

Counts

177 → 2

Alt Table

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

Compiler

Compiled 3218 to 713 computations (77.8% saved)

regimes176.0ms (7.9%)

Accuracy

Total 0.0b remaining (84.7%)

Threshold costs 0.0b (84.7%)

Counts

36 → 1

Compiler

Compiled 2762 to 1556 computations (43.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	18	10
3	20	10
4	21	10

Stop Event

1×

saturated

end43.0ms (1.9%)

Stop Event

1×

done

Remove

(sort x y)

Compiler

Compiled 63 to 42 computations (33.3% saved)

Details

analyze488.0ms (21.9%)

sample863.0ms (38.7%)

preprocess42.0ms (1.9%)

simplify34.0ms (1.5%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series10.0ms (0.5%)

rewrite41.0ms (1.8%)

simplify53.0ms (2.4%)

prune25.0ms (1.1%)

localize6.0ms (0.3%)

series16.0ms (0.7%)

rewrite70.0ms (3.1%)

simplify26.0ms (1.1%)

prune123.0ms (5.5%)

localize9.0ms (0.4%)

series15.0ms (0.7%)

rewrite63.0ms (2.8%)

simplify47.0ms (2.1%)

prune72.0ms (3.2%)

regimes176.0ms (7.9%)

simplify2.0ms (0.1%)

end43.0ms (1.9%)

Profiling