Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

395×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

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 x y (* z t))))
1.0ms	(fma x y (* z t))

series260.0ms

Counts

2 → 6

Calls

2 calls:

220.0ms	(fma i c (fma b a (fma x y (* z t))))
40.0ms	(fma x y (* z t))

simplify74.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	54	108
1	122	94
2	447	94
3	2806	94
4	5003	94

prune87.0ms

Filtered

26 candidates to 24 candidates (92.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	2	27

Merged error: 0b

Counts

27 → 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 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 t z (* x y))

series261.0ms

Counts

2 → 6

Calls

2 calls:

221.0ms	(fma i c (fma b a (fma t z (* x y))))
39.0ms	(fma t z (* x y))

simplify71.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	108
1	116	94
2	420	94
3	2779	94
4	5002	94

prune79.0ms

Filtered

26 candidates to 23 candidates (88.5%)

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: 0b

Counts

28 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma i c (fma b a (fma x y (* z t)))))
0.5b	(cbrt (fma i c (fma b a (fma x y (* z t)))))
0.5b	(cbrt (fma i c (fma b a (fma x y (* z t)))))
0.5b	(* (cbrt (fma i c (fma b a (fma x y (* z t))))) (cbrt (fma i c (fma b a (fma x y (* z t))))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
1.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
1.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
6.0ms	(* (cbrt (fma i c (fma b a (fma x y (* z t))))) (cbrt (fma i c (fma b a (fma x y (* z t))))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
105.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
106.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
149.0ms	(* (cbrt (fma i c (fma b a (fma x y (* z t))))) (cbrt (fma i c (fma b a (fma x y (* z t))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	206	936
1	674	857
2	2534	759
3	5002	749

prune289.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Merged error: 0b

Counts

95 → 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

sample1.3s

Algorithm

intervals

Results

680.0ms

13576×

body

valid