Details

analyze301.0ms (13.4%)

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
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)

sample29.0ms (1.3%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify139.0ms (6.2%)

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

prune5.0ms (0.2%)

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

Compiler

Compiled 67 to 49 computations (26.9% saved)

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 y 1))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 52

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 y 1))

simplify191.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

843×	`distribute-rgt-in_binary64`
816×	`distribute-lft-in_binary64`
431×	`fma-def_binary64`
266×	`*-commutative_binary64`
211×	`exp-prod_binary64`

Counts

76 → 70

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	681
1	130	591
2	324	591
3	977	591
4	3040	591
5	4315	591
6	4908	591
7	4941	591

prune101.0ms (4.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	70	2	72

Error

Counts

72 → 2

Alt Table

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

Compiler

Compiled 1492 to 1117 computations (25.1% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

series18.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
8.0ms	(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 41

Calls

2 calls:

6.0ms	(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
1.0ms	(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)

simplify208.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

358×	`associate-l_binary64`
354×	`fma-def_binary64`
354×	`fma-neg_binary64`
350×	`exp-prod_binary64`
295×	`times-frac_binary64`

Counts

89 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1075
1	180	952
2	566	914
3	2481	909
4	4057	909
5	4972	909
6	4899	909

prune90.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	75	2	77

Error

Counts

77 → 2

Alt Table

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

Compiler

Compiled 1207 to 742 computations (38.5% saved)

regimes120.0ms (5.3%)

Accuracy

Total 0.0b remaining (73.4%)

Threshold costs 0.0b (73.4%)

Counts

14 → 1

Compiler

Compiled 584 to 424 computations (27.4% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`distribute-rgt-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	34	16
3	38	16
4	40	16
5	37	16

end1.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

sample975.0ms (43.5%)

Algorithm

1×

intervals

Results

542.0ms	8000×	body	128	valid
4.0ms	66×	body	128	invalid

Compiler

Compiled 52 to 40 computations (23.1% saved)

Details

analyze301.0ms (13.4%)

sample29.0ms (1.3%)

simplify139.0ms (6.2%)

prune5.0ms (0.2%)

localize10.0ms (0.5%)

series7.0ms (0.3%)

rewrite17.0ms (0.8%)

simplify191.0ms (8.5%)

prune101.0ms (4.5%)

localize12.0ms (0.5%)

series18.0ms (0.8%)

rewrite11.0ms (0.5%)

simplify208.0ms (9.3%)

prune90.0ms (4%)

regimes120.0ms (5.3%)

simplify6.0ms (0.2%)

end1.0ms (0%)

sample975.0ms (43.5%)

Profiling