Details

analyze84.0ms (7.2%)

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
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample729.0ms (62.3%)

Symmetry

(sort x y)

Results

695.0ms	8256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify8.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	9	8
3	9	8

prune2.0ms (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

0.0b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 49 to 24 computations (51% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

rewrite3.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`
1×	`flip3-+_binary64`

Counts

1 → 14

Calls

1 calls:

3.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

simplify62.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

836×	`unswap-sqr_binary64`
822×	`fma-def_binary64`
336×	`cancel-sign-sub-inv_binary64`
292×	`fma-neg_binary64`
245×	`distribute-rgt-in_binary64`

Counts

38 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	358
1	117	319
2	306	319
3	955	319
4	2726	319
5	4944	319
6	4947	319

prune13.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 y y (*.f64 x x))
	0.0b	(fma.f64 x x (*.f64 y y))

Compiler

Compiled 369 to 106 computations (71.3% saved)

localize7.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(fma.f64 y y (*.f64 x x))

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 y y (*.f64 x x))

simplify63.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-l_binary64`
644×	`associate-+l+_binary64`
599×	`associate-r_binary64`
588×	`associate-+r+_binary64`
575×	`fma-def_binary64`

Counts

34 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	292
1	27	263
2	59	263
3	141	263
4	506	263
5	2877	263
6	4856	263
7	4984	263

prune8.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Error

Counts

25 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 y y (*.f64 x x))
▶	0.0b	(fma.f64 x x (*.f64 y y))

Compiler

Compiled 236 to 64 computations (72.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

10.0ms

(fma.f64 x x (*.f64 y y))

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 x x (*.f64 y y))

simplify65.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-l_binary64`
644×	`associate-+l+_binary64`
599×	`associate-r_binary64`
588×	`associate-+r+_binary64`
575×	`fma-def_binary64`

Counts

34 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	292
1	27	263
2	59	263
3	141	263
4	506	263
5	2877	263
6	4856	263
7	4984	263

prune7.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	2	25

Error

Counts

25 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 y y (*.f64 x x))
✓	0.0b	(fma.f64 x x (*.f64 y y))

Compiler

Compiled 228 to 60 computations (73.7% saved)

regimes44.0ms (3.8%)

Accuracy

Total 0.0b remaining (95.5%)

Threshold costs 0.0b (95.5%)

Counts

7 → 1

Compiler

Compiled 317 to 190 computations (40.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end40.0ms (3.4%)

Remove: (sort x y)
Compiler: Compiled 48 to 24 computations (50% saved)

Details

analyze84.0ms (7.2%)

sample729.0ms (62.3%)

simplify8.0ms (0.7%)

prune2.0ms (0.2%)

localize4.0ms (0.3%)

series6.0ms (0.5%)

rewrite3.0ms (0.3%)

simplify62.0ms (5.3%)

prune13.0ms (1.1%)

localize7.0ms (0.6%)

series6.0ms (0.5%)

rewrite1.0ms (0.1%)

simplify63.0ms (5.4%)

prune8.0ms (0.7%)

localize4.0ms (0.3%)

series10.0ms (0.8%)

rewrite1.0ms (0.1%)

simplify65.0ms (5.6%)

prune7.0ms (0.6%)

regimes44.0ms (3.8%)

simplify2.0ms (0.1%)

end40.0ms (3.4%)

Profiling