Details

analyze106.0ms (7.1%)

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
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample909.0ms (61.1%)

Results

797.0ms	8256×	body	128	valid
8.0ms	91×	body	128	invalid

Compiler

Compiled 41 to 32 computations (22% saved)

simplify44.0ms (3%)

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

prune3.0ms (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 (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)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite1.0ms (0%)

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

simplify34.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

820×	`associate-+r+_binary64`
794×	`associate-+l+_binary64`
308×	`distribute-rgt-in_binary64`
304×	`distribute-lft-in_binary64`
202×	`distribute-lft-neg-out_binary64`

Counts

34 → 27

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	355
1	54	284
2	109	282
3	320	282
4	1233	282
5	5044	282

prune19.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 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 337 to 233 computations (30.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series11.0ms (0.7%)

Counts

2 → 48

Calls

2 calls:

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

rewrite21.0ms (1.4%)

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×	`distribute-lft-in_binary64`

Counts

2 → 94

Calls

2 calls:

7.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
6.0ms	(*.f64 x (-.f64 y 1))

simplify91.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

142 → 151

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1379
1	253	1235
2	696	1170
3	2487	1167
4	4488	1167
5	4910	1167

prune111.0ms (7.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	151	2	153

Error

Counts

153 → 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 3159 to 2301 computations (27.2% saved)

regimes70.0ms (4.7%)

Accuracy

Total 0.0b remaining (71.4%)

Threshold costs 0.0b (71.4%)

Counts

17 → 1

Compiler

Compiled 656 to 488 computations (25.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	18	14
3	16	14

end49.0ms (3.3%)

Compiler: Compiled 47 to 35 computations (25.5% saved)

Details

analyze106.0ms (7.1%)

sample909.0ms (61.1%)

simplify44.0ms (3%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite1.0ms (0%)

simplify34.0ms (2.3%)

prune19.0ms (1.3%)

localize6.0ms (0.4%)

series11.0ms (0.7%)

rewrite21.0ms (1.4%)

simplify91.0ms (6.1%)

prune111.0ms (7.5%)

regimes70.0ms (4.7%)

simplify2.0ms (0.1%)

end49.0ms (3.3%)

Profiling