Details

analyze1.0s (37.1%)

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
0%	99.9%	0.1%	7
3.1%	96.8%	0.1%	8
4.7%	95.2%	0.1%	9
7%	92.9%	0.1%	10
8.2%	91.7%	0.1%	11
9.6%	90.3%	0.1%	12
10.2%	89.7%	0.1%	13
10.2%	89.7%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample740.0ms (26.3%)

Results

712.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.2%)

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))

series9.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite5.0ms (0.2%)

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:

4.0ms

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

simplify48.0ms (1.7%)

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

prune35.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Error

Counts

69 → 4

Alt Table

Status	Error	Program
	31.3b	(*.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y))
▶	0.6b	(/.f64 1 (/.f64 (+.f64 y x) x))
	15.9b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 911 to 308 computations (66.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y x) x)
✓	0.6b	(/.f64 1 (/.f64 (+.f64 y x) x))

series16.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 y x) x))
5.0ms	(/.f64 (+.f64 y x) x)

rewrite18.0ms (0.6%)

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:

6.0ms	(/.f64 1 (/.f64 (+.f64 y x) x))
4.0ms	(/.f64 (+.f64 y x) x)

simplify114.0ms (4%)

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

prune72.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	159	3	162

Error

Counts

162 → 3

Alt Table

Status	Error	Program
▶	0.6b	(/.f64 1 (+.f64 (/.f64 y x) 1))
	15.9b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 2465 to 903 computations (63.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (+.f64 (/.f64 y x) 1))

series9.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(/.f64 1 (+.f64 (/.f64 y x) 1))

rewrite8.0ms (0.3%)

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`
5×	`add-exp-log_binary64`

Counts

1 → 39

Calls

1 calls:

6.0ms

(/.f64 1 (+.f64 (/.f64 y x) 1))

simplify138.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-/l*_binary64`
527×	`fma-def_binary64`
439×	`associate-*l/_binary64`
422×	`associate-/r*_binary64`
339×	`cancel-sign-sub-inv_binary64`

Counts

63 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	995
1	157	939
2	383	897
3	1261	855
4	4959	855

prune132.0ms (4.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	65	3	68

Error

Counts

68 → 3

Alt Table

Status	Error	Program
✓	0.6b	(/.f64 1 (+.f64 (/.f64 y x) 1))
▶	15.9b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 966 to 600 computations (37.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
✓	15.9b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

series46.0ms (1.6%)

Counts

3 → 72

Calls

3 calls:

23.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
15.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
9.0ms	(/.f64 x (+.f64 x y))

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
46×	`add-cube-cbrt_binary64`
42×	`cbrt-prod_binary64`

Counts

3 → 147

Calls

3 calls:

5.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
5.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
5.0ms	(/.f64 x (+.f64 x y))

simplify125.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-neg_binary64`
385×	`unswap-sqr_binary64`
317×	`associate-/l/_binary64`
313×	`associate-/r/_binary64`
311×	`fma-def_binary64`

Counts

219 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	3874
1	552	3661
2	1718	3457
3	4645	3457
4	5126	3457

prune82.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	155	3	158

Error

Counts

158 → 3

Alt Table

Status	Error	Program
✓	0.6b	(/.f64 1 (+.f64 (/.f64 y x) 1))
✓	15.9b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 2502 to 1123 computations (55.1% saved)

regimes50.0ms (1.8%)

Accuracy

Total 0.0b remaining (71.2%)

Threshold costs 0.0b (71.2%)

Counts

17 → 1

Compiler

Compiled 533 to 355 computations (33.4% saved)

simplify2.0ms (0.1%)

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

end72.0ms (2.5%)

Compiler: Compiled 40 to 26 computations (35% saved)

Details

analyze1.0s (37.1%)

sample740.0ms (26.3%)

simplify6.0ms (0.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

series9.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify48.0ms (1.7%)

prune35.0ms (1.2%)

localize5.0ms (0.2%)

series16.0ms (0.6%)

rewrite18.0ms (0.6%)

simplify114.0ms (4%)

prune72.0ms (2.5%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite8.0ms (0.3%)

simplify138.0ms (4.9%)

prune132.0ms (4.7%)

localize6.0ms (0.2%)

series46.0ms (1.6%)

rewrite25.0ms (0.9%)

simplify125.0ms (4.4%)

prune82.0ms (2.9%)

regimes50.0ms (1.8%)

simplify2.0ms (0.1%)

end72.0ms (2.5%)

Profiling