Details

analyze74.0ms (7.9%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample57.0ms (6.1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify7.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	12	10
3	14	10
4	14	10

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize5.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))

series6.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

rewrite13.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
39×	`add-sqr-sqrt_binary64`
39×	`add-cube-cbrt_binary64`
28×	`distribute-lft-out_binary64`

Counts

1 → 82

Calls

1 calls:

7.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

simplify104.0ms (11.1%)

Algorithm

1×	egg-herbie

Rules

687×	`times-frac_binary64`
654×	`fma-def_binary64`
475×	`associate-/l/_binary64`
467×	`associate-/l*_binary64`
415×	`associate-/r*_binary64`

Counts

106 → 87

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1625
1	236	1578
2	576	1578
3	1453	1577
4	4367	1577
5	4708	1577
6	4945	1577

prune32.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Error

Counts

88 → 2

Alt Table

Status	Error	Program
▶	0.3b	(fma.f64 1/2 (/.f64 x y) 1/2)
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 1335 to 356 computations (73.3% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 1/2 (/.f64 x y) 1/2)

series7.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(fma.f64 1/2 (/.f64 x y) 1/2)

rewrite1.0ms (0.1%)

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 1/2 (/.f64 x y) 1/2)

simplify96.0ms (10.2%)

Algorithm

1×	egg-herbie

Rules

1203×	`distribute-rgt-out_binary64`
613×	`associate-/l*_binary64`
488×	`fma-def_binary64`
400×	`unswap-sqr_binary64`
391×	`rem-sqrt-square_binary64`

Counts

34 → 15

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	295
1	22	278
2	51	278
3	147	278
4	526	278
5	2114	278
6	3097	278
7	3223	278
8	3503	278
9	4541	278
10	4088	278
11	6219	278

prune6.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	15	2	17

Error

Counts

17 → 2

Alt Table

Status	Error	Program
✓	0.3b	(fma.f64 1/2 (/.f64 x y) 1/2)
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 161 to 99 computations (38.5% saved)

regimes21.0ms (2.2%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Counts

5 → 1

Compiler

Compiled 138 to 96 computations (30.4% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	7	10
2	7	10

end0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

sample501.0ms (53.4%)

Algorithm

1×

intervals

Results

236.0ms	8000×	body	128	valid
6.0ms	179×	body	128	invalid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Details

analyze74.0ms (7.9%)

sample57.0ms (6.1%)

simplify7.0ms (0.8%)

prune1.0ms (0.1%)

localize5.0ms (0.6%)

series6.0ms (0.6%)

rewrite13.0ms (1.4%)

simplify104.0ms (11.1%)

prune32.0ms (3.4%)

localize4.0ms (0.4%)

series7.0ms (0.8%)

rewrite1.0ms (0.1%)

simplify96.0ms (10.2%)

prune6.0ms (0.7%)

regimes21.0ms (2.2%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample501.0ms (53.4%)

Profiling