Details

analyze484.0ms (18.3%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
23.4%	71%	5.6%	9
35.1%	56.2%	8.7%	10
41%	49.9%	9.1%	11
45.1%	41.2%	13.7%	12
52.6%	31.2%	16.2%	13
56.3%	27.3%	16.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample892.0ms (33.7%)

Results

768.0ms	8256×	body	128	valid
91.0ms	996×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-/l*_binary64`
1×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	12	8
3	14	8
4	15	8
5	15	8

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y (/.f64 y z) x)
	4.3b	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 54 to 30 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)

series11.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

11.0ms

(fma.f64 y (/.f64 y z) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 y (/.f64 y z) x)

simplify45.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

611×	`associate-/l/_binary64`
604×	`associate-+l+_binary64`
543×	`associate-l_binary64`
462×	`fma-def_binary64`
424×	`associate-/r*_binary64`

Counts

46 → 17

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	376
1	28	359
2	59	359
3	151	359
4	551	359
5	2861	359
6	5394	359

prune9.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Error

0.0b

Counts

19 → 3

Alt Table

Status	Error	Program
	32.3b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)
▶	4.3b	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 222 to 71 computations (68% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (*.f64 y y) z))
✓	8.7b	(/.f64 (*.f64 y y) z)

series22.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

13.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
9.0ms	(/.f64 (*.f64 y y) z)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`

Counts

2 → 40

Calls

2 calls:

3.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
3.0ms	(/.f64 (*.f64 y y) z)

simplify77.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-neg_binary64`
567×	`fma-def_binary64`
363×	`cancel-sign-sub-inv_binary64`
282×	`distribute-rgt-out_binary64`
269×	`*-commutative_binary64`

Counts

100 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	924
1	177	897
2	469	819
3	1624	819
4	3220	819
5	4792	819
6	5203	819

prune26.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Error

0.0b

Counts

61 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)
✓	4.3b	(+.f64 x (/.f64 (*.f64 y y) z))
▶	0.1b	(+.f64 x (/.f64 y (/.f64 z y)))
	4.3b	(+.f64 x (/.f64 1 (/.f64 z (*.f64 y y))))

Compiler

Compiled 771 to 234 computations (69.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series22.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

12.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
10.0ms	(/.f64 y (/.f64 z y))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64`
45×	`add-sqr-sqrt_binary64`
45×	`add-cube-cbrt_binary64`
13×	`associate-/r*_binary64`

Counts

2 → 89

Calls

2 calls:

10.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
4.0ms	(/.f64 y (/.f64 z y))

simplify113.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-def_binary64`
532×	`associate-/l*_binary64`
507×	`associate-/r/_binary64`
346×	`associate-l_binary64`
308×	`fma-neg_binary64`

Counts

149 → 145

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	167	1992
1	373	1799
2	1160	1727
3	3066	1703
4	4514	1688
5	4960	1688
6	4955	1688

prune70.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	144	5	149

Error

Counts

149 → 5

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 x (/.f64 (/.f64 y z) (/.f64 1 y)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)
✓	4.3b	(+.f64 x (/.f64 (*.f64 y y) z))
✓	0.1b	(+.f64 x (/.f64 y (/.f64 z y)))
	4.3b	(+.f64 x (/.f64 1 (/.f64 z (*.f64 y y))))

Compiler

Compiled 2213 to 642 computations (71% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series22.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

13.0ms	(+.f64 x (/.f64 (/.f64 y z) (/.f64 1 y)))
9.0ms	(/.f64 (/.f64 y z) (/.f64 1 y))

rewrite61.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

421×	`times-frac_binary64`
201×	`*-un-lft-identity_binary64`
199×	`add-sqr-sqrt_binary64`
199×	`add-cube-cbrt_binary64`
29×	`div-inv_binary64`

Counts

2 → 238

Calls

2 calls:

28.0ms	(+.f64 x (/.f64 (/.f64 y z) (/.f64 1 y)))
8.0ms	(/.f64 (/.f64 y z) (/.f64 1 y))

simplify236.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

660×	`fma-neg_binary64`
468×	`fma-def_binary64`
394×	`*-commutative_binary64`
335×	`associate-/l/_binary64`
245×	`div-sub_binary64`

Counts

298 → 299

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	240	6051
1	625	5730
2	1935	5721
3	2454	5145
4	3920	5041
5	4610	4222
6	4611	4102
7	5107	4102

prune171.0ms (6.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	299	0	299
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	299	5	304

Error

Counts

304 → 5

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 x (/.f64 (/.f64 y z) (/.f64 1 y)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)
✓	4.3b	(+.f64 x (/.f64 (*.f64 y y) z))
✓	0.1b	(+.f64 x (/.f64 y (/.f64 z y)))
	4.3b	(+.f64 x (/.f64 1 (/.f64 z (*.f64 y y))))

Compiler

Compiled 6031 to 2747 computations (54.5% saved)

regimes236.0ms (8.9%)

Accuracy

Total 0.1b remaining (89.8%)

Threshold costs 0.1b (89.8%)

Counts

14 → 1

Compiler

Compiled 1200 to 714 computations (40.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

end91.0ms (3.4%)

Compiler: Compiled 73 to 45 computations (38.4% saved)

Details

analyze484.0ms (18.3%)

sample892.0ms (33.7%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series11.0ms (0.4%)

rewrite1.0ms (0%)

simplify45.0ms (1.7%)

prune9.0ms (0.3%)

localize5.0ms (0.2%)

series22.0ms (0.8%)

rewrite8.0ms (0.3%)

simplify77.0ms (2.9%)

prune26.0ms (1%)

localize4.0ms (0.2%)

series22.0ms (0.8%)

rewrite19.0ms (0.7%)

simplify113.0ms (4.3%)

prune70.0ms (2.7%)

localize6.0ms (0.2%)

series22.0ms (0.8%)

rewrite61.0ms (2.3%)

simplify236.0ms (8.9%)

prune171.0ms (6.5%)

regimes236.0ms (8.9%)

simplify2.0ms (0.1%)

end91.0ms (3.4%)

Profiling