Details

analyze963.0ms (26.5%)

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
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.6s (44.6%)

Symmetry

(sort d2 d4)

Results

1.1s	8256×	body	128	valid
314.0ms	2416×	body	128	invalid

Compiler

Compiled 59 to 35 computations (40.7% saved)

simplify94.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-neg_binary64`
654×	`fma-def_binary64`
233×	`sub-neg_binary64`
210×	`unsub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	32	14
2	94	13
3	263	13
4	655	13
5	1556	13
6	1691	13
7	1500	13
8	1500	13
9	2739	13
10	2707	13
11	2707	13
12	2632	13

prune3.0ms (0.1%)

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

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
	0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 92 to 53 computations (42.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series13.0ms (0.4%)

Counts

1 → 48

Calls

1 calls:

13.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite55.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

673×	`fma-def_binary64`
358×	`fma-neg_binary64`
212×	`expm1-udef_binary64`
212×	`log1p-udef_binary64`
117×	`add-sqr-sqrt_binary64`

Counts

1 → 56

Calls

1 calls:

54.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	219	13
2	3215	13
3	4975	13
0	0	0
1	0	0

simplify105.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

465×	`fma-neg_binary64`
412×	`neg-sub0_binary64`
412×	`neg-mul-1_binary64`
405×	`associate-l_binary64`
328×	`distribute-rgt-out--_binary64`

Counts

104 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	800
1	69	656
2	162	548
3	393	548
4	1182	548
5	2804	548
6	4330	548
7	4993	548
8	5000	548
9	4943	548

prune34.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	72	1	73

Error

Counts

73 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 d1 d4 (*.f64 d1 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 1041 to 233 computations (77.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))

series9.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

9.0ms

(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))

rewrite73.0ms (2%)

Algorithm

2×	batch-egg-rewrite

Rules

938×	`prod-diff_binary64`
512×	`fma-def_binary64`
265×	`fma-neg_binary64`
158×	`expm1-udef_binary64`
158×	`log1p-udef_binary64`

Counts

1 → 42

Calls

1 calls:

72.0ms

(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	162	10
2	2274	10
3	4737	10
4	4972	10
0	0	0
1	0	0

simplify191.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

894×	`distribute-rgt-neg-in_binary64`
779×	`distribute-lft-neg-in_binary64`
578×	`unsub-neg_binary64`
547×	`fabs-mul_binary64`
522×	`*-commutative_binary64`

Counts

78 → 55

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	20	406
1	49	325
2	95	325
3	215	325
4	596	325
5	1581	325
6	2686	325
7	3491	325
8	3765	315
9	2785	315
10	3181	315
11	3311	315
12	3516	315
13	3562	315
14	4507	315
15	4780	315

prune29.0ms (0.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	1	56

Error

Counts

56 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 d1 d4 (*.f64 d1 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 810 to 217 computations (73.2% saved)

regimes180.0ms (5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

27 → 1

Compiler

Compiled 1548 to 999 computations (35.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	14
2	22	14
3	26	14
4	28	14
5	28	14

end247.0ms (6.8%)

Compiler: Compiled 70 to 40 computations (42.9% saved)

Details

analyze963.0ms (26.5%)

sample1.6s (44.6%)

simplify94.0ms (2.6%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series13.0ms (0.4%)

rewrite55.0ms (1.5%)

simplify105.0ms (2.9%)

prune34.0ms (0.9%)

localize7.0ms (0.2%)

series9.0ms (0.2%)

rewrite73.0ms (2%)

simplify191.0ms (5.3%)

prune29.0ms (0.8%)

regimes180.0ms (5%)

simplify2.0ms (0.1%)

end247.0ms (6.8%)

Profiling