Details

analyze40.0ms (1.6%)

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
25%	74.9%	0.1%	3
37.5%	62.4%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample633.0ms (25.1%)

Results

528.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify78.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
511×	`fma-neg_binary64`
365×	`times-frac_binary64`
331×	`div-sub_binary64`
156×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	30	10
4	52	10
5	81	10
6	124	10
7	191	10
8	300	10
9	641	10
10	822	10
11	1299	10
12	1328	10
13	1343	10
14	1357	10
15	1377	10
16	1377	10
17	1276	10

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 x y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`

Counts

1 → 48

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

simplify85.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

610×	`div-sub_binary64`
586×	`fma-neg_binary64`
530×	`cancel-sign-sub-inv_binary64`
194×	`distribute-neg-frac_binary64`
184×	`fma-def_binary64`

Counts

72 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1287
1	283	1239
2	748	1195
3	2488	1183
4	4383	1183
5	5485	1183

prune36.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	3	60

Error

Counts

60 → 3

Alt Table

Status	Error	Program
	0.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y))))
	29.7b	(fma.f64 (/.f64 y x) -2 1)
▶	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Compiler

Compiled 978 to 303 computations (69% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series29.0ms (1.2%)

Counts

3 → 72

Calls

3 calls:

10.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
10.0ms	(/.f64 y (+.f64 x y))
9.0ms	(/.f64 x (+.f64 x y))

rewrite122.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Rules

595×	`*-un-lft-identity_binary64`
496×	`times-frac_binary64`
339×	`add-sqr-sqrt_binary64`
327×	`add-cube-cbrt_binary64`
324×	`prod-diff_binary64`

Counts

3 → 459

Calls

3 calls:

27.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
4.0ms	(/.f64 x (+.f64 x y))
3.0ms	(/.f64 y (+.f64 x y))

simplify410.0ms (16.2%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg_binary64`
542×	`times-frac_binary64`
251×	`unsub-neg_binary64`
239×	`sub-neg_binary64`
210×	`fma-udef_binary64`

Counts

531 → 459

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	463	25191
1	1077	16096
2	2498	11283
3	4634	11271
4	4896	11271

prune260.0ms (10.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	459	0	459
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	459	3	462

Error

Counts

462 → 3

Alt Table

Status	Error	Program
▶	0.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y))))
	29.7b	(fma.f64 (/.f64 y x) -2 1)
✓	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Compiler

Compiled 18851 to 3317 computations (82.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y)))
✓	0.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y))))
✓	0.0b	(*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y)))
	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

series42.0ms (1.7%)

Counts

3 → 72

Calls

3 calls:

16.0ms

(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y))))

14.0ms

(*.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y)))

12.0ms

(*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y)))

rewrite99.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

245×	`*-un-lft-identity_binary64`
149×	`times-frac_binary64`
124×	`add-sqr-sqrt_binary64`
65×	`add-cbrt-cube_binary64`
61×	`add-cube-cbrt_binary64`

Counts

3 → 228

Calls

3 calls:

24.0ms

(*.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y)))

22.0ms

(*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y)))

16.0ms

(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y))))

simplify201.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

646×	`fma-def_binary64`
265×	`associate-*r/_binary64`
240×	`associate-/l*_binary64`
239×	`associate-l_binary64`
239×	`associate-*l/_binary64`

Counts

300 → 292

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	9173
1	894	6942
2	3240	6156
3	4728	6156
4	5003	6156

prune263.0ms (10.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	469	0	469
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	469	3	472

Error

Counts

472 → 3

Alt Table

Status	Error	Program
✓	0.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y))))
▶	29.7b	(fma.f64 (/.f64 y x) -2 1)
✓	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Compiler

Compiled 14904 to 2650 computations (82.2% saved)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y))))
✓	29.7b	(fma.f64 (/.f64 y x) -2 1)
✓	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Compiler

Compiled 47 to 20 computations (57.4% saved)

regimes135.0ms (5.3%)

Accuracy

Total 0.0b remaining (81.7%)

Threshold costs 0.0b (81.7%)

Counts

49 → 1

Compiler

Compiled 2467 to 1455 computations (41% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	12	20
2	17	20
3	19	20
4	20	20
5	20	20

end45.0ms (1.8%)

Compiler: Compiled 77 to 36 computations (53.2% saved)

Details

analyze40.0ms (1.6%)

sample633.0ms (25.1%)

simplify78.0ms (3.1%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite9.0ms (0.4%)

simplify85.0ms (3.4%)

prune36.0ms (1.4%)

localize5.0ms (0.2%)

series29.0ms (1.2%)

rewrite122.0ms (4.8%)

simplify410.0ms (16.2%)

prune260.0ms (10.3%)

localize8.0ms (0.3%)

series42.0ms (1.7%)

rewrite99.0ms (3.9%)

simplify201.0ms (7.9%)

prune263.0ms (10.4%)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

regimes135.0ms (5.3%)

simplify3.0ms (0.1%)

end45.0ms (1.8%)

Profiling