Details

analyze50.0ms (3%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	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)

sample711.0ms (41.8%)

Results

683.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

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 x (+.f64 x y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite5.0ms (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`
4×	`associate-/r*_binary64`

Counts

1 → 35

Calls

1 calls:

3.0ms

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

simplify60.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-neg_binary64`
598×	`fma-def_binary64`
529×	`associate-/r*_binary64`
408×	`associate-/l/_binary64`
314×	`associate-/r/_binary64`

Counts

59 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	478	833
3	1565	791
4	4962	791
5	5351	791

prune26.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Error

Counts

49 → 5

Alt Table

Status	Error	Program
▶	0.6b	(/.f64 1 (/.f64 (+.f64 x y) x))
	14.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
	13.0b	(cbrt.f64 (.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 x (+.f64 x y))))
	34.5b	(-.f64 1 (/.f64 y x))
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 693 to 252 computations (63.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) x)
✓	0.5b	(/.f64 1 (/.f64 (+.f64 x y) x))

series14.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
5.0ms	(/.f64 (+.f64 x y) x)

rewrite19.0ms (1.1%)

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

simplify122.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

429×	`cancel-sign-sub-inv_binary64`
347×	`div-sub_binary64`
318×	`fma-neg_binary64`
292×	`times-frac_binary64`
262×	`distribute-rgt-in_binary64`

Counts

173 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	2656
1	276	2369
2	775	2282
3	2546	2259
4	4444	2259
5	5076	2259

prune77.0ms (4.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 1 (+.f64 (/.f64 y x) 1))
✓	0.0b	(/.f64 x (+.f64 x y))
	14.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
	34.5b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 2489 to 911 computations (63.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (+.f64 (/.f64 y x) 1))

series9.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite12.0ms (0.7%)

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:

10.0ms

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

simplify45.0ms (2.6%)

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

prune40.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Error

Counts

69 → 4

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 1 (+.f64 (/.f64 y x) 1))
✓	0.0b	(/.f64 x (+.f64 x y))
▶	14.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
	34.5b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 990 to 608 computations (38.6% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x y))
✓	0.1b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
✓	5.5b	(sqrt.f64 (/.f64 x (+.f64 x y)))

series38.0ms (2.2%)

Counts

2 → 36

Calls

2 calls:

29.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))
9.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))

rewrite40.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`sqrt-prod_binary64`
99×	`add-sqr-sqrt_binary64`
98×	`*-un-lft-identity_binary64`
85×	`times-frac_binary64`
50×	`add-cube-cbrt_binary64`

Counts

2 → 148

Calls

2 calls:

16.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
3.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

simplify135.0ms (8%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
500×	`fma-neg_binary64`
316×	`times-frac_binary64`
280×	`associate-/l*_binary64`
193×	`associate-/r*_binary64`

Counts

184 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	3019
1	342	2812
2	1115	2686
3	3396	2620
4	4686	2620
5	4997	2620
6	4935	2620

prune168.0ms (9.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	359	0	359
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	359	4	363

Error

Counts

363 → 4

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 1 (+.f64 (/.f64 y x) 1))
✓	0.0b	(/.f64 x (+.f64 x y))
✓	14.4b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
	34.5b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 7294 to 1522 computations (79.1% saved)

regimes50.0ms (3%)

Accuracy

Total 0.0b remaining (75.5%)

Threshold costs 0.0b (75.5%)

Counts

18 → 1

Compiler

Compiled 638 to 388 computations (39.2% 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

end48.0ms (2.8%)

Compiler: Compiled 52 to 30 computations (42.3% saved)

Details

analyze50.0ms (3%)

sample711.0ms (41.8%)

simplify5.0ms (0.3%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series8.0ms (0.5%)

rewrite5.0ms (0.3%)

simplify60.0ms (3.5%)

prune26.0ms (1.5%)

localize4.0ms (0.2%)

series14.0ms (0.8%)

rewrite19.0ms (1.1%)

simplify122.0ms (7.2%)

prune77.0ms (4.5%)

localize4.0ms (0.2%)

series9.0ms (0.5%)

rewrite12.0ms (0.7%)

simplify45.0ms (2.6%)

prune40.0ms (2.3%)

localize5.0ms (0.3%)

series38.0ms (2.2%)

rewrite40.0ms (2.4%)

simplify135.0ms (8%)

prune168.0ms (9.9%)

regimes50.0ms (3%)

simplify2.0ms (0.1%)

end48.0ms (2.8%)

Profiling