Details

analyze829.0ms (32.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.3s (50.1%)

Symmetry

(sort x y)

(sort z t)

Results

1.1s	8256×	body	128	valid
157.0ms	1440×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	15	8
3	15	8

prune3.0ms (0.1%)

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

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 48

Calls

1 calls:

9.0ms

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

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 x y (*.f64 z t))

simplify119.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-/r/_binary64`
527×	`fma-def_binary64`
502×	`unswap-sqr_binary64`
500×	`distribute-rgt-in_binary64`
485×	`associate-+l+_binary64`

Counts

58 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	460
1	23	443
2	47	443
3	128	443
4	401	443
5	1504	443
6	2934	443
7	3199	443
8	3454	443
9	3982	443
10	4805	443
11	4988	443
12	4867	443

prune9.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

Counts

23 → 2

Alt Table

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

Compiler

Compiled 253 to 67 computations (73.5% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 48

Calls

1 calls:

9.0ms

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

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 t z (*.f64 y x))

simplify118.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-/r/_binary64`
527×	`fma-def_binary64`
502×	`unswap-sqr_binary64`
500×	`distribute-rgt-in_binary64`
485×	`associate-+l+_binary64`

Counts

58 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	460
1	23	443
2	47	443
3	128	443
4	401	443
5	1504	443
6	2934	443
7	3199	443
8	3454	443
9	3982	443
10	4805	443
11	4988	443
12	4867	443

prune9.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	21	2	23

Error

Counts

23 → 2

Alt Table

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

Compiler

Compiled 236 to 58 computations (75.4% saved)

regimes59.0ms (2.3%)

Accuracy

Total 0.0b remaining (98.1%)

Threshold costs 0.0b (98.1%)

Counts

5 → 1

Compiler

Compiled 437 to 291 computations (33.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
2	8	8

end66.0ms (2.6%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 80 to 48 computations (40% saved)

Details

analyze829.0ms (32.9%)

sample1.3s (50.1%)

simplify7.0ms (0.3%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

series9.0ms (0.4%)

rewrite1.0ms (0%)

simplify119.0ms (4.7%)

prune9.0ms (0.4%)

localize9.0ms (0.3%)

series9.0ms (0.4%)

rewrite1.0ms (0%)

simplify118.0ms (4.7%)

prune9.0ms (0.3%)

regimes59.0ms (2.3%)

simplify2.0ms (0.1%)

end66.0ms (2.6%)

Profiling