Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample655.0ms (44.5%)

Results

628.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`fma-neg_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	21	8
3	24	8
4	26	8
5	27	8
6	24	8

prune2.0ms (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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 (fma.f64 x x -3) 6)

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (fma.f64 x x -3) 6)

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(/.f64 (fma.f64 x x -3) 6)

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

3.0ms

(/.f64 (fma.f64 x x -3) 6)

simplify53.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

822×	`distribute-rgt-in_binary64`
507×	`associate-/l*_binary64`
396×	`associate-/l/_binary64`
383×	`fma-def_binary64`
343×	`times-frac_binary64`

Counts

41 → 39

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	533
1	103	499
2	216	499
3	434	499
4	1114	499
5	3350	499
6	4886	499

prune27.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Error

Counts

40 → 4

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (fma.f64 x x -3) 6)
▶	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)
	45.1b	(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
	45.1b	(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))

Compiler

Compiled 545 to 404 computations (25.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)

series2.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(fma.f64 1/6 (*.f64 x x) -1/2)

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 1/6 (*.f64 x x) -1/2)

simplify49.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

540×	`fma-def_binary64`
474×	`unswap-sqr_binary64`
438×	`*-commutative_binary64`
374×	`distribute-rgt-in_binary64`
370×	`distribute-lft-in_binary64`

Counts

22 → 16

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	214
1	30	197
2	59	197
3	156	197
4	622	197
5	2186	197
6	2781	197
7	5148	197

prune9.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	16	4	20

Error

Counts

20 → 4

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (fma.f64 x x -3) 6)
✓	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)
	45.1b	(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
▶	45.1b	(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))

Compiler

Compiled 218 to 143 computations (34.4% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
22×	`times-frac_binary64`
17×	`sqrt-prod_binary64`
16×	`*-un-lft-identity_binary64`

Counts

1 → 50

Calls

1 calls:

8.0ms

(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))

simplify91.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

643×	`unswap-sqr_binary64`
401×	`fma-def_binary64`
363×	`associate-/r/_binary64`
314×	`associate-/r*_binary64`
289×	`distribute-rgt-in_binary64`

Counts

62 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	1163
1	187	982
2	575	934
3	1466	934
4	2911	934
5	4115	934
6	4958	934
7	4928	934

prune41.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	73	4	77

Error

Counts

77 → 4

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (fma.f64 x x -3) 6)
✓	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)
▶	45.1b	(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
✓	45.1b	(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))

Compiler

Compiled 1546 to 1151 computations (25.5% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

rewrite32.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

258×	`times-frac_binary64`
138×	`*-un-lft-identity_binary64`
138×	`add-sqr-sqrt_binary64`
138×	`add-cube-cbrt_binary64`
132×	`sqrt-prod_binary64`

Counts

1 → 177

Calls

1 calls:

10.0ms

(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

simplify185.0ms (12.6%)

Algorithm

1×	egg-herbie

Rules

679×	`associate-/r/_binary64`
587×	`distribute-rgt-in_binary64`
363×	`associate-l_binary64`
362×	`associate-/r*_binary64`
362×	`fma-def_binary64`

Counts

189 → 202

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	215	7168
1	434	6286
2	1396	5774
3	2701	5584
4	3524	5551
5	5365	5551

prune126.0ms (8.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	202	4	206

Error

Counts

206 → 4

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (fma.f64 x x -3) 6)
✓	0.1b	(fma.f64 1/6 (*.f64 x x) -1/2)
✓	45.1b	(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
✓	45.1b	(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))

Compiler

Compiled 5489 to 4158 computations (24.2% saved)

regimes83.0ms (5.6%)

Accuracy

Total 0.1b remaining (54.2%)

Threshold costs 0.1b (54.2%)

Counts

23 → 1

Compiler

Compiled 1269 to 959 computations (24.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	6	8

end62.0ms (4.2%)

Compiler: Compiled 56 to 40 computations (28.6% saved)

Details

analyze4.0ms (0.3%)

sample655.0ms (44.5%)

simplify6.0ms (0.4%)

prune2.0ms (0.2%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite4.0ms (0.3%)

simplify53.0ms (3.6%)

prune27.0ms (1.8%)

localize3.0ms (0.2%)

series2.0ms (0.2%)

rewrite1.0ms (0%)

simplify49.0ms (3.3%)

prune9.0ms (0.6%)

localize5.0ms (0.4%)

series3.0ms (0.2%)

rewrite13.0ms (0.9%)

simplify91.0ms (6.2%)

prune41.0ms (2.8%)

localize5.0ms (0.4%)

series3.0ms (0.2%)

rewrite32.0ms (2.2%)

simplify185.0ms (12.6%)

prune126.0ms (8.6%)

regimes83.0ms (5.6%)

simplify2.0ms (0.1%)

end62.0ms (4.2%)

Profiling