Details

analyze96.0ms (3.5%)

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 8 to 5 computations (37.5% saved)

sample869.0ms (31.6%)

Results

833.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

12.0ms

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 35

Calls

1 calls:

10.0ms

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

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
547×	`associate-/r*_binary64`
430×	`associate-/l/_binary64`
325×	`associate-/r/_binary64`
276×	`cancel-sign-sub-inv_binary64`

Counts

59 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	477	833
3	1577	791
4	4946	791

prune70.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	5	69

Error

Counts

69 → 5

Alt Table

Status	Error	Program
	30.3b	(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
✓	0.0b	(/.f64 x (+.f64 y x))
▶	0.2b	(*.f64 x (/.f64 1 (+.f64 y x)))
	0.7b	(/.f64 1 (/.f64 (+.f64 y x) x))
	10.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (/.f64 x (+.f64 y x))))

Compiler

Compiled 939 to 316 computations (66.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 y x))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 y x)))

series37.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

20.0ms	(*.f64 x (/.f64 1 (+.f64 y x)))
16.0ms	(/.f64 1 (+.f64 y x))

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`

Counts

2 → 82

Calls

2 calls:

17.0ms	(*.f64 x (/.f64 1 (+.f64 y x)))
7.0ms	(/.f64 1 (+.f64 y x))

simplify243.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

661×	`cancel-sign-sub-inv_binary64`
454×	`fma-neg_binary64`
274×	`sub-neg_binary64`
252×	`times-frac_binary64`
213×	`associate-/l*_binary64`

Counts

130 → 141

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	117	1797
1	268	1704
2	761	1617
3	2439	1593
4	4270	1593
5	4889	1569
6	4980	1569
7	4939	1569

prune122.0ms (4.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	141	5	146

Error

Counts

146 → 5

Alt Table

Status	Error	Program
	30.3b	(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
✓	0.0b	(/.f64 x (+.f64 y x))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 y x)))
▶	0.7b	(/.f64 1 (/.f64 (+.f64 y x) x))
	10.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (/.f64 x (+.f64 y x))))

Compiler

Compiled 2047 to 968 computations (52.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y x) x)
✓	0.7b	(/.f64 1 (/.f64 (+.f64 y x) x))

series23.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (+.f64 y x) x))
11.0ms	(/.f64 (+.f64 y x) x)

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
60×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

2 → 125

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (+.f64 y x) x))
6.0ms	(/.f64 (+.f64 y x) x)

simplify215.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-neg_binary64`
428×	`cancel-sign-sub-inv_binary64`
325×	`distribute-rgt-in_binary64`
297×	`times-frac_binary64`
209×	`associate-/l*_binary64`

Counts

173 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	2656
1	278	2369
2	789	2282
3	2561	2259
4	4527	2259
5	5077	2259

prune159.0ms (5.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 y x)))
✓	0.7b	(/.f64 1 (/.f64 (+.f64 y x) x))
▶	12.3b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) 3))

Compiler

Compiled 2465 to 901 computations (63.4% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 y x))
✓	0.1b	(pow.f64 (/.f64 x (+.f64 y x)) 3)
✓	12.3b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) 3))

series57.0ms (2.1%)

Counts

2 → 48

Calls

2 calls:

34.0ms	(pow.f64 (/.f64 x (+.f64 y x)) 3)
23.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) 3))

rewrite46.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
42×	`cbrt-prod_binary64`
36×	`cube-prod_binary64`
36×	`add-sqr-sqrt_binary64`

Counts

2 → 112

Calls

2 calls:

11.0ms	(pow.f64 (/.f64 x (+.f64 y x)) 3)
9.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) 3))

simplify161.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

732×	`associate-/l*_binary64`
333×	`unswap-sqr_binary64`
281×	`fma-def_binary64`
276×	`associate-/r/_binary64`
265×	`associate-/l/_binary64`

Counts

160 → 147

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3000
1	520	2807
2	1608	2655
3	5271	2655

prune247.0ms (9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	215	4	219

Error

Counts

219 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 y x)))
✓	0.7b	(/.f64 1 (/.f64 (+.f64 y x) x))
✓	12.3b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) 3))

Compiler

Compiled 3376 to 1495 computations (55.7% saved)

regimes120.0ms (4.4%)

Accuracy

Total 0.0b remaining (70.9%)

Threshold costs 0.0b (70.9%)

Counts

20 → 1

Compiler

Compiled 608 to 373 computations (38.7% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end86.0ms (3.1%)

Compiler: Compiled 49 to 31 computations (36.7% saved)

Details

analyze96.0ms (3.5%)

sample869.0ms (31.6%)

simplify9.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

series12.0ms (0.4%)

rewrite13.0ms (0.5%)

simplify68.0ms (2.5%)

prune70.0ms (2.5%)

localize9.0ms (0.3%)

series37.0ms (1.3%)

rewrite33.0ms (1.2%)

simplify243.0ms (8.8%)

prune122.0ms (4.4%)

localize5.0ms (0.2%)

series23.0ms (0.8%)

rewrite35.0ms (1.3%)

simplify215.0ms (7.8%)

prune159.0ms (5.8%)

localize10.0ms (0.4%)

series57.0ms (2.1%)

rewrite46.0ms (1.7%)

simplify161.0ms (5.8%)

prune247.0ms (9%)

regimes120.0ms (4.4%)

simplify4.0ms (0.2%)

end86.0ms (3.1%)

Profiling