Details

analyze150.0ms (7.3%)

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)

sample1.3s (64.9%)

Results

1.2s	8256×	body	128	valid
32.0ms	210×	body	128	invalid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify12.0ms (0.6%)

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

prune2.0ms (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)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

12.0ms

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

rewrite26.0ms (1.3%)

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:

13.0ms

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

simplify160.0ms (7.8%)

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

prune69.0ms (3.3%)

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
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))
▶	0.0b	(fma.f64 1/2 (/.f64 x y) 1/2)

Compiler

Compiled 1335 to 356 computations (73.3% saved)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

13.0ms

(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:

1.0ms

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

simplify116.0ms (5.7%)

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

prune14.0ms (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
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))
✓	0.0b	(fma.f64 1/2 (/.f64 x y) 1/2)

Compiler

Compiled 161 to 99 computations (38.5% saved)

regimes52.0ms (2.5%)

Accuracy

Total 0.0b remaining (98.5%)

Threshold costs 0.0b (98.5%)

Counts

5 → 1

Compiler

Compiled 168 to 114 computations (32.1% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	6	8

end72.0ms (3.5%)

Compiler: Compiled 33 to 23 computations (30.3% saved)

Details

analyze150.0ms (7.3%)

sample1.3s (64.9%)

simplify12.0ms (0.6%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

series12.0ms (0.6%)

rewrite26.0ms (1.3%)

simplify160.0ms (7.8%)

prune69.0ms (3.3%)

localize11.0ms (0.5%)

series13.0ms (0.6%)

rewrite1.0ms (0.1%)

simplify116.0ms (5.7%)

prune14.0ms (0.7%)

regimes52.0ms (2.5%)

simplify4.0ms (0.2%)

end72.0ms (3.5%)

Profiling