Details

analyze99.0ms (8%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample117.0ms (9.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify47.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-neg_binary64`
586×	`fma-def_binary64`
222×	`cancel-sign-sub-inv_binary64`
115×	`sub-neg_binary64`
82×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	27	14
2	58	12
3	109	12
4	229	11
5	450	11
6	661	11
7	940	11
8	1194	11
9	1320	11
10	1347	11
11	1268	11

prune4.0ms (0.3%)

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

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
▶	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 67 to 49 computations (26.9% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
✓	0.0b	(*.f64 x (-.f64 y 1))

series10.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

5.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
4.0ms	(*.f64 x (-.f64 y 1))

rewrite22.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
37×	`prod-diff_binary64`
35×	`*-un-lft-identity_binary64`
32×	`add-cube-cbrt_binary64`
26×	`associate--l+_binary64`

Counts

2 → 94

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 y 1))
7.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))

simplify97.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

918×	`fma-neg_binary64`
455×	`associate-l_binary64`
370×	`associate-r_binary64`
279×	`cancel-sign-sub-inv_binary64`
251×	`fma-def_binary64`

Counts

142 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1303
1	253	1178
2	696	1170
3	2487	1167
4	4488	1167
5	4910	1167

prune97.0ms (7.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	153	1	154

Error

Counts

154 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x) 918938533204673/1000000000000000)

Compiler

Compiled 3179 to 2364 computations (25.6% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (+.f64 x -1/2))

series5.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(*.f64 y (+.f64 x -1/2))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

4.0ms

(*.f64 y (+.f64 x -1/2))

simplify71.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

911×	`distribute-rgt-in_binary64`
906×	`distribute-lft-in_binary64`
495×	`fma-def_binary64`
351×	`distribute-rgt-neg-out_binary64`
307×	`unsub-neg_binary64`

Counts

49 → 46

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	417
1	134	387
2	394	387
3	1014	387
4	3358	387
5	4715	387
6	4872	387

prune26.0ms (2.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

47 → 1

Alt Table

Status	Error	Program
✓	0b	(+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x) 918938533204673/1000000000000000)

Compiler

Compiled 650 to 442 computations (32% saved)

regimes57.0ms (4.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

11 → 1

Compiler

Compiled 468 to 352 computations (24.8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-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	9	13
1	14	13
2	19	13
3	21	13
4	22	13
5	22	13

end0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample566.0ms (45.7%)

Algorithm

1×

intervals

Results

327.0ms	8000×	body	128	valid
3.0ms	71×	body	128	invalid

Compiler

Compiled 38 to 29 computations (23.7% saved)

Details

analyze99.0ms (8%)

sample117.0ms (9.4%)

simplify47.0ms (3.8%)

prune4.0ms (0.3%)

localize7.0ms (0.5%)

series10.0ms (0.8%)

rewrite22.0ms (1.8%)

simplify97.0ms (7.9%)

prune97.0ms (7.9%)

localize5.0ms (0.4%)

series5.0ms (0.4%)

rewrite5.0ms (0.4%)

simplify71.0ms (5.7%)

prune26.0ms (2.1%)

regimes57.0ms (4.6%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample566.0ms (45.7%)

Profiling