Details

analyze838.0ms (34%)

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
37.4%	62.4%	0.2%	9
37.4%	62.4%	0.2%	10
37.4%	62.4%	0.2%	11
40.5%	59.3%	0.2%	12
60.8%	39%	0.2%	13
60.8%	39%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.3s (53.3%)

Symmetry

(sort y z)

Results

1.0s	8256×	body	128	valid
140.0ms	1148×	body	128	invalid

Compiler

Compiled 53 to 41 computations (22.6% saved)

simplify29.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-def_binary64`
322×	`fma-neg_binary64`
113×	`cancel-sign-sub-inv_binary64`
53×	`unsub-neg_binary64`
52×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	95	14
4	192	12
5	326	12
6	479	12
7	626	12
8	798	12
9	857	12
10	783	12

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

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

Compiler

Compiled 52 to 35 computations (32.7% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

series15.0ms (0.6%)

Counts

1 → 48

Calls

1 calls:

15.0ms

(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x 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 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

simplify69.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

422×	`distribute-lft-in_binary64`
422×	`distribute-rgt-in_binary64`
368×	`distribute-lft-neg-out_binary64`
366×	`distribute-rgt-neg-out_binary64`
319×	`associate-l_binary64`

Counts

58 → 29

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	750
1	50	651
2	95	649
3	396	649
4	2320	649
5	4993	649
6	4952	649

prune18.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

0.2b

Counts

30 → 2

Alt Table

Status	Error	Program
▶	15.2b	(fma.f64 1/8 x t)
✓	0.2b	(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

Compiler

Compiled 374 to 204 computations (45.5% saved)

localize3.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

0.2b

Counts

2 → 2

Alt Table

Status	Error	Program
✓	15.2b	(fma.f64 1/8 x t)
✓	0.2b	(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes115.0ms (4.7%)

Accuracy

Total 0.0b remaining (4.3%)

Threshold costs 0.0b (4.3%)

Counts

11 → 1

Compiler

Compiled 1144 to 869 computations (24% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	22	16
2	28	16
3	38	16
4	45	16
5	50	16
6	52	16
7	50	16

end50.0ms (2%)

Remove: (sort y z)
Compiler: Compiled 81 to 59 computations (27.2% saved)

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	95	14
4	192	12
5	326	12
6	479	12
7	626	12
8	798	12
9	857	12
10	783	12

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	95	14
4	192	12
5	326	12
6	479	12
7	626	12
8	798	12
9	857	12
10	783	12

Details

analyze838.0ms (34%)

sample1.3s (53.3%)

simplify29.0ms (1.2%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series15.0ms (0.6%)

rewrite1.0ms (0%)

simplify69.0ms (2.8%)

prune18.0ms (0.7%)

localize3.0ms (0.1%)

prune1.0ms (0.1%)

regimes115.0ms (4.7%)

simplify3.0ms (0.1%)

end50.0ms (2%)

Profiling

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	95	14
4	192	12
5	326	12
6	479	12
7	626	12
8	798	12
9	857	12
10	783	12