Details

analyze8.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.1s (66.5%)

Results

983.0ms

8256×

body

128

valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify110.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

1041×	`fma-neg_binary64`
807×	`times-frac_binary64`
600×	`associate-/r/_binary64`
564×	`sub-neg_binary64`
392×	`div-sub_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	19
2	45	19
3	72	19
4	115	19
5	188	19
6	308	19
7	491	19
8	989	19
9	1283	19
10	3056	19
11	4408	19
12	4532	19
13	4794	19
14	4959	19
15	4564	19

prune3.0ms (0.2%)

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

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0b	(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
✓	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	13.6b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series10.0ms (0.6%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
3.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms	(fma.f64 x 4481/100000 99229/100000)
1.0ms	(fma.f64 x 27061/100000 230753/100000)

rewrite69.0ms (4.2%)

Algorithm

2×	batch-egg-rewrite

Rules

509×	`unpow-prod-down_binary64`
418×	`log-prod_binary64`
268×	`pow2_binary64`
188×	`expm1-udef_binary64`
188×	`log1p-udef_binary64`

Counts

4 → 169

Calls

4 calls:

64.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
64.0ms	(fma.f64 x 27061/100000 230753/100000)
64.0ms	(fma.f64 x 4481/100000 99229/100000)
64.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	225	35
2	2451	35
3	5654	35
0	0	0
1	0	0

simplify94.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-neg_binary64`
739×	`cancel-sign-sub-inv_binary64`
417×	`times-frac_binary64`
305×	`fma-def_binary64`
239×	`neg-mul-1_binary64`

Counts

217 → 198

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	459
1	130	417
2	295	389
3	716	369
4	2068	369
5	4656	369
6	4991	369
7	4998	369
8	4919	369

prune168.0ms (10%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	198	1	199

Error

Counts

199 → 1

Alt Table

Status	Error	Program
✓	0b	(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 4220 to 3282 computations (22.2% saved)

regimes38.0ms (2.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

19 → 1

Compiler

Compiled 488 to 358 computations (26.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	16	19
2	22	19
3	26	19
4	29	19
5	30	19
6	29	19

end47.0ms (2.8%)

Compiler: Compiled 45 to 33 computations (26.7% saved)

Details

analyze8.0ms (0.5%)

sample1.1s (66.5%)

simplify110.0ms (6.6%)

prune3.0ms (0.2%)

localize9.0ms (0.5%)

series10.0ms (0.6%)

rewrite69.0ms (4.2%)

simplify94.0ms (5.6%)

prune168.0ms (10%)

regimes38.0ms (2.3%)

simplify2.0ms (0.1%)

end47.0ms (2.8%)

Profiling