Details

analyze469.0ms (36.6%)

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
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample26.0ms (2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify21.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

335×	`fma-def_binary64`
126×	`fma-neg_binary64`
60×	`cancel-sign-sub-inv_binary64`
40×	`distribute-rgt-neg-in_binary64`
28×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	19	11
2	45	11
3	91	11
4	120	11
5	179	11
6	240	11
7	294	11
8	377	11
9	396	11
10	450	11
11	462	11
12	413	11

prune3.0ms (0.2%)

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 y z) (.f64 x x))

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -4 (.f64 y z) (.f64 x x))

series10.0ms (0.8%)

Counts

1 → 36

Calls

1 calls:

10.0ms

(fma.f64 -4 (*.f64 y z) (*.f64 x x))

rewrite1.0ms (0.1%)

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 -4 (*.f64 y z) (*.f64 x x))

simplify76.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

490×	`*-commutative_binary64`
334×	`neg-sub0_binary64`
314×	`neg-mul-1_binary64`
290×	`times-frac_binary64`
288×	`associate-l_binary64`

Counts

46 → 24

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	565
1	40	488
2	87	488
3	294	488
4	1369	488
5	2959	488
6	4609	488
7	5240	488

prune12.0ms (1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	1	25

Error

0.0b

Counts

25 → 1

Alt Table

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

Compiler

Compiled 299 to 132 computations (55.9% saved)

regimes68.0ms (5.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

6 → 1

Compiler

Compiled 521 to 372 computations (28.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
2	9	11

end6.0ms (0.5%)

Remove: (sort y z)
Compiler: Compiled 33 to 21 computations (36.4% saved)

sample581.0ms (45.3%)

Algorithm

1×

intervals

Results

275.0ms	8000×	body	128	valid
18.0ms	461×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

Iter	Nodes	Cost
0	9	13
1	19	11
2	45	11
3	91	11
4	120	11
5	179	11
6	240	11
7	294	11
8	377	11
9	396	11
10	450	11
11	462	11
12	413	11

Iter	Nodes	Cost
0	9	13
1	19	11
2	45	11
3	91	11
4	120	11
5	179	11
6	240	11
7	294	11
8	377	11
9	396	11
10	450	11
11	462	11
12	413	11

Details

analyze469.0ms (36.6%)

sample26.0ms (2%)

simplify21.0ms (1.7%)

prune3.0ms (0.2%)

localize5.0ms (0.4%)

series10.0ms (0.8%)

rewrite1.0ms (0.1%)

simplify76.0ms (5.9%)

prune12.0ms (1%)

regimes68.0ms (5.3%)

simplify2.0ms (0.2%)

end6.0ms (0.5%)

sample581.0ms (45.3%)

Profiling

Iter	Nodes	Cost
0	9	13
1	19	11
2	45	11
3	91	11
4	120	11
5	179	11
6	240	11
7	294	11
8	377	11
9	396	11
10	450	11
11	462	11
12	413	11