Details

sample43.0ms

Algorithm

intervals

Results

20.0ms

434×

body

valid

simplify13.0ms

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

prune8.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma b a (fma x y (* z t)))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(fma b a (fma x y (* z t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	55
1	72	48
2	260	48
3	1439	48
4	5001	48

prune54.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0b

Counts

14 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma a b (* x y))
0.0b	(fma t z (fma a b (* 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 a b (* x y))
1.0ms	(fma t z (fma a b (* x y)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma a b (* x y))
62.0ms	(fma t z (fma a b (* x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	96
1	123	84
2	571	84
3	3406	84
4	5001	84

prune92.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	27	2	29

Merged error: 0b

Counts

29 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma a b (* x y))) (cbrt (fma a b (* x y))))
1.1b	(cbrt (fma a b (* x y)))
1.1b	(cbrt (fma a b (* x y)))
1.1b	(cbrt (fma a b (* x y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt (fma a b (* x y))) (cbrt (fma a b (* x y))))
1.0ms	(cbrt (fma a b (* x y)))
1.0ms	(cbrt (fma a b (* x y)))
2.0ms	(cbrt (fma a b (* x y)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (cbrt (fma a b (* x y))) (cbrt (fma a b (* x y))))
108.0ms	(cbrt (fma a b (* x y)))
106.0ms	(cbrt (fma a b (* x y)))
113.0ms	(cbrt (fma a b (* x y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	251	745
1	842	670
2	3396	585
3	5001	557

prune345.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0b

Counts

98 → 2

regimes214.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

552.0ms

13358×

body

valid