Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

405×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	6
1	62	4
2	121	4
3	158	4
4	164	4
5	164	4

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma i c (fma b a (fma x y (* z t))))
0.0b	(fma b a (fma x y (* z t)))
0.0b	(fma x y (* z t))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

3 → 30

Calls

3 calls:

1.0ms	(fma i c (fma b a (fma x y (* z t))))
1.0ms	(fma b a (fma x y (* z t)))
1.0ms	(fma x y (* z t))

series349.0ms

Counts

3 → 9

Calls

3 calls:

240.0ms	(fma i c (fma b a (fma x y (* z t))))
68.0ms	(fma b a (fma x y (* z t)))
40.0ms	(fma x y (* z t))

simplify102.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	64	163
1	149	142
2	635	142
3	4251	142
4	5001	142

prune108.0ms

Filtered

39 candidates to 36 candidates (92.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma i c (fma b a (fma t z (* x y))))
0.0b	(fma b a (fma t z (* x y)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma i c (fma b a (fma t z (* x y))))
1.0ms	(fma b a (fma t z (* x y)))

series313.0ms

Counts

2 → 6

Calls

2 calls:

245.0ms	(fma i c (fma b a (fma t z (* x y))))
68.0ms	(fma b a (fma t z (* x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	51	122
1	106	106
2	488	106
3	3705	106
4	5001	106

prune70.0ms

Filtered

26 candidates to 24 candidates (92.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Merged error: 0.0b

Counts

28 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* z t))
0.3b	(* (sqrt (fma b a (fma x y (* z t)))) (sqrt (fma b a (fma x y (* z t)))))
0.6b	(sqrt (fma b a (fma x y (* z t))))
0.6b	(sqrt (fma b a (fma x y (* z t))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma x y (* z t))
6.0ms	(* (sqrt (fma b a (fma x y (* z t)))) (sqrt (fma b a (fma x y (* z t)))))
1.0ms	(sqrt (fma b a (fma x y (* z t))))
2.0ms	(sqrt (fma b a (fma x y (* z t))))

series957.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma x y (* z t))
68.0ms	(* (sqrt (fma b a (fma x y (* z t)))) (sqrt (fma b a (fma x y (* z t)))))
423.0ms	(sqrt (fma b a (fma x y (* z t))))
423.0ms	(sqrt (fma b a (fma x y (* z t))))

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	211	625
1	876	553
2	5002	523

prune216.0ms

Filtered

103 candidates to 64 candidates (62.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Merged error: 0.0b

Counts

105 → 2

regimes228.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

560.0ms

13644×

body

valid