Details

analyze510.0ms (20.2%)

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
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (44.2%)

Results

928.0ms	8256×	body	128	valid
102.0ms	936×	body	128	invalid

Compiler

Compiled 50 to 38 computations (24% saved)

simplify60.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
639×	`associate-/l*_binary64`
549×	`associate-/r*_binary64`
410×	`fma-neg_binary64`
343×	`distribute-neg-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	17
2	55	15
3	125	15
4	273	14
5	562	11
6	1531	11
7	4085	11
8	4535	11
9	4790	11

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

Compiler

Compiled 46 to 33 computations (28.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.4%)

Counts

1 → 28

Calls

1 calls:

10.0ms

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`

Counts

1 → 40

Calls

1 calls:

5.0ms

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

simplify63.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

643×	`unsub-neg_binary64`
507×	`times-frac_binary64`
442×	`fma-neg_binary64`
375×	`associate-/l*_binary64`
315×	`distribute-rgt-in_binary64`

Counts

68 → 47

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	759
1	180	727
2	391	727
3	928	727
4	3644	727
5	5109	727

prune25.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Error

Counts

48 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
▶	0.0b	(fma.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)) 2)

Compiler

Compiled 732 to 319 computations (56.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.5%)

Counts

1 → 18

Calls

1 calls:

12.0ms

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

rewrite55.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

262×	`times-frac_binary64`
211×	`add-sqr-sqrt_binary64`
207×	`*-un-lft-identity_binary64`
199×	`add-cube-cbrt_binary64`
169×	`prod-diff_binary64`

Counts

1 → 219

Calls

1 calls:

20.0ms

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

simplify185.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-def_binary64`
492×	`associate-*l/_binary64`
371×	`associate-/l*_binary64`
341×	`fma-neg_binary64`
227×	`unsub-neg_binary64`

Counts

237 → 240

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	4725
1	687	3862
2	1353	2380
3	3980	2379
4	4209	2379
5	4898	2379
6	4705	2379

prune382.0ms (15.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	240	2	242

Error

Counts

242 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
✓	0.0b	(fma.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)) 2)

Compiler

Compiled 9436 to 2459 computations (73.9% saved)

regimes38.0ms (1.5%)

Accuracy

Total 0.0b remaining (55.7%)

Threshold costs 0.0b (55.7%)

Counts

5 → 1

Compiler

Compiled 379 to 282 computations (25.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	12	14
2	19	14
3	23	14
4	26	14
5	27	14
6	27	14

end42.0ms (1.7%)

Compiler: Compiled 50 to 35 computations (30% saved)

Details

analyze510.0ms (20.2%)

sample1.1s (44.2%)

simplify60.0ms (2.4%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series10.0ms (0.4%)

rewrite7.0ms (0.3%)

simplify63.0ms (2.5%)

prune25.0ms (1%)

localize6.0ms (0.2%)

series12.0ms (0.5%)

rewrite55.0ms (2.2%)

simplify185.0ms (7.3%)

prune382.0ms (15.2%)

regimes38.0ms (1.5%)

simplify2.0ms (0.1%)

end42.0ms (1.7%)

Profiling