Details

analyze1.6s (46.4%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample66.0ms (2%)

Algorithm

1×

intervals

Results

15.0ms	184×	body	128	valid
11.0ms	34×	body	1024	valid
4.0ms	18×	body	512	valid
4.0ms	11×	body	2048	valid
3.0ms	41×	body	128	invalid
2.0ms	7×	body	1024	invalid
1.0ms	9×	body	256	valid
1.0ms	5×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 40 to 22 computations (45% saved)

simplify161.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1476×	`distribute-rgt-out--_binary64`
585×	`unsub-neg_binary64`
406×	`sub-neg_binary64`
378×	`distribute-rgt-neg-in_binary64`
342×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	11
2	84	10
3	214	7
4	590	7
5	1832	7
6	2361	7
7	2773	7
8	3029	7
9	3327	7
10	3482	7
11	3500	7
12	3500	7
13	3500	7
14	5390	7

prune5.0ms (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	(*.f64 y (-.f64 x z))

Compiler

Compiled 39 to 21 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

13.0ms

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

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 50

Calls

1 calls:

13.0ms

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

simplify146.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
422×	`unsub-neg_binary64`
281×	`unswap-sqr_binary64`
277×	`*-commutative_binary64`
231×	`neg-mul-1_binary64`

Counts

86 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	869
1	190	803
2	577	749
3	1458	695
4	3029	695
5	4852	695
6	5000	695
7	4766	695

prune57.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	2	68

Error

Counts

68 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 1031 to 278 computations (73% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series16.0ms (0.5%)

Counts

1 → 18

Calls

1 calls:

16.0ms

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`distribute-lft-out--_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

5.0ms

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

simplify98.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

791×	`unsub-neg_binary64`
633×	`fma-def_binary64`
541×	`distribute-rgt-in_binary64`
482×	`distribute-lft-in_binary64`
320×	`times-frac_binary64`

Counts

35 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	332
1	121	314
2	415	307
3	1268	304
4	3520	304
5	4176	304
6	4949	304
7	4865	304

prune25.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	2	37

Error

Counts

37 → 2

Alt Table

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

Compiler

Compiled 413 to 113 computations (72.6% saved)

regimes69.0ms (2%)

Accuracy

Total 0.0b remaining (62.5%)

Threshold costs 0.0b (62.5%)

Counts

6 → 1

Compiler

Compiled 280 to 168 computations (40% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	16	7
4	17	7
5	17	7

end1.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

sample1.1s (32.6%)

Algorithm

1×

intervals

Results

261.0ms	5774×	body	128	valid
147.0ms	870×	body	1024	valid
97.0ms	498×	body	2048	valid
71.0ms	1556×	body	128	invalid
68.0ms	548×	body	512	valid
25.0ms	310×	body	256	valid
24.0ms	142×	body	1024	invalid
23.0ms	176×	body	512	invalid
13.0ms	119×	body	256	invalid

Compiler

Compiled 48 to 29 computations (39.6% saved)

Details

analyze1.6s (46.4%)

sample66.0ms (2%)

simplify161.0ms (4.8%)

prune5.0ms (0.2%)

localize7.0ms (0.2%)

series13.0ms (0.4%)

rewrite21.0ms (0.6%)

simplify146.0ms (4.4%)

prune57.0ms (1.7%)

localize9.0ms (0.3%)

series16.0ms (0.5%)

rewrite7.0ms (0.2%)

simplify98.0ms (2.9%)

prune25.0ms (0.8%)

regimes69.0ms (2%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.1s (32.6%)

Profiling