Details

analyze536.0ms (22.4%)

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
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (48.3%)

Results

949.0ms	8256×	body	128	valid
115.0ms	985×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify112.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-neg_binary64`
880×	`div-sub_binary64`
795×	`fma-def_binary64`
774×	`times-frac_binary64`
463×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	57	14
3	172	14
4	408	14
5	1241	11
6	2694	11
7	4033	11
8	4216	11
9	4586	11
10	4475	11
11	4492	11
12	4700	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 y) z) -2)

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 28

Calls

1 calls:

9.0ms

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

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:

4.0ms

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

simplify63.0ms (2.6%)

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

Compiler

Compiled 732 to 319 computations (56.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.5%)

Counts

1 → 18

Calls

1 calls:

12.0ms

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

rewrite48.0ms (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:

15.0ms

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

simplify202.0ms (8.4%)

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

prune126.0ms (5.3%)

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

Compiler

Compiled 9436 to 2459 computations (73.9% saved)

regimes37.0ms (1.6%)

Accuracy

Total 0.0b remaining (47.8%)

Threshold costs 0.0b (47.8%)

Counts

5 → 1

Compiler

Compiled 349 to 256 computations (26.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
2	16	11
3	18	11
4	19	11
5	19	11

end45.0ms (1.9%)

Compiler: Compiled 46 to 33 computations (28.3% saved)

Details

analyze536.0ms (22.4%)

sample1.2s (48.3%)

simplify112.0ms (4.7%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite7.0ms (0.3%)

simplify63.0ms (2.6%)

prune25.0ms (1%)

localize6.0ms (0.3%)

series13.0ms (0.5%)

rewrite48.0ms (2%)

simplify202.0ms (8.4%)

prune126.0ms (5.3%)

regimes37.0ms (1.6%)

simplify3.0ms (0.1%)

end45.0ms (1.9%)

Profiling