Details

analyze53.0ms (2.7%)

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)

sample788.0ms (39.2%)

Results

751.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (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 (0.1%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(/.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:

4.0ms

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

simplify68.0ms (3.4%)

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

prune24.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Error

Counts

49 → 4

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 1 (/.f64 (+.f64 x y) x))
	1.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
	28.3b	(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 661 to 246 computations (62.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (+.f64 x y) x))

series9.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`times-frac_binary64`
74×	`*-un-lft-identity_binary64`
50×	`add-sqr-sqrt_binary64`
50×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

1 → 90

Calls

1 calls:

6.0ms

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

simplify125.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
761×	`fma-neg_binary64`
360×	`cancel-sign-sub-inv_binary64`
295×	`times-frac_binary64`
231×	`distribute-rgt-in_binary64`

Counts

114 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	2020
1	233	1778
2	667	1691
3	2240	1649
4	4414	1649
5	4960	1649
6	4949	1649

prune55.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Error

Counts

121 → 4

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (+.f64 x y) x))
▶	1.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
	28.3b	(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 1923 to 726 computations (62.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
✓	0.3b	(/.f64 (cbrt.f64 x) (+.f64 x y))
✓	0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series129.0ms (6.4%)

Counts

4 → 72

Calls

4 calls:

40.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
40.0ms	(cbrt.f64 x)
33.0ms	(/.f64 (cbrt.f64 x) (+.f64 x y))
15.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))

rewrite32.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`*-un-lft-identity_binary64`
58×	`add-sqr-sqrt_binary64`
50×	`times-frac_binary64`
47×	`cbrt-prod_binary64`
45×	`add-cube-cbrt_binary64`

Counts

4 → 160

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
5.0ms	(/.f64 (cbrt.f64 x) (+.f64 x y))
5.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

simplify171.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
454×	`fma-def_binary64`
370×	`unswap-sqr_binary64`
332×	`associate-l_binary64`
315×	`cancel-sign-sub-inv_binary64`

Counts

232 → 247

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	3739
1	602	3346
2	2406	3204
3	3805	3111
4	4804	3111
5	4940	3111

prune111.0ms (5.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	282	1	283
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	283	4	287

Error

Counts

287 → 4

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (+.f64 x y) x))
✓	1.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 x y))
▶	28.3b	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

Compiler

Compiled 5406 to 1501 computations (72.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 x y))
✓	2.8b	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

series54.0ms (2.7%)

Counts

2 → 48

Calls

2 calls:

29.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
25.0ms	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

rewrite27.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`times-frac_binary64`
59×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
44×	`add-cube-cbrt_binary64`
14×	`add-cbrt-cube_binary64`

Counts

2 → 118

Calls

2 calls:

10.0ms	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
8.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify126.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
499×	`times-frac_binary64`
367×	`associate-/l/_binary64`
345×	`fma-def_binary64`
242×	`*-commutative_binary64`

Counts

166 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	2835
1	453	2422
2	1413	2058
3	3948	1880
4	4949	1880
5	4939	1880

prune79.0ms (3.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	187	4	191

Error

Counts

191 → 4

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (+.f64 x y) x))
✓	1.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 x y))
✓	28.3b	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

Compiler

Compiled 3588 to 829 computations (76.9% saved)

regimes50.0ms (2.5%)

Accuracy

Total 0.0b remaining (50%)

Threshold costs 0.0b (50%)

Counts

16 → 1

Compiler

Compiled 581 to 319 computations (45.1% saved)

simplify3.0ms (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

end50.0ms (2.5%)

Compiler: Compiled 57 to 30 computations (47.4% saved)

Details

analyze53.0ms (2.7%)

sample788.0ms (39.2%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize3.0ms (0.1%)

series9.0ms (0.4%)

rewrite5.0ms (0.3%)

simplify68.0ms (3.4%)

prune24.0ms (1.2%)

localize4.0ms (0.2%)

series9.0ms (0.5%)

rewrite14.0ms (0.7%)

simplify125.0ms (6.2%)

prune55.0ms (2.7%)

localize7.0ms (0.3%)

series129.0ms (6.4%)

rewrite32.0ms (1.6%)

simplify171.0ms (8.5%)

prune111.0ms (5.5%)

localize4.0ms (0.2%)

series54.0ms (2.7%)

rewrite27.0ms (1.3%)

simplify126.0ms (6.3%)

prune79.0ms (3.9%)

regimes50.0ms (2.5%)

simplify3.0ms (0.1%)

end50.0ms (2.5%)

Profiling