Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

468×

body

valid

simplify12.0ms

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

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

series330.0ms

Counts

3 → 9

Calls

3 calls:

226.0ms	(fma i c (fma b a (fma x y (* z t))))
66.0ms	(fma b a (fma x y (* z t)))
38.0ms	(fma x y (* z t))

simplify96.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	64	163
1	149	142
2	636	142
3	4252	142
4	5001	142

prune150.0ms

Filtered

39 candidates to 36 candidates (92.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.0ms

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

series326.0ms

Counts

3 → 9

Calls

3 calls:

225.0ms	(fma i c (fma b a (fma t z (* x y))))
40.0ms	(fma t z (* x y))
60.0ms	(fma b a (fma t z (* x y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	62	163
1	145	142
2	595	142
3	4206	142
4	5001	142

prune132.0ms

Filtered

39 candidates to 34 candidates (87.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma i c (fma b a (fma t z (* x y))))) (cbrt (fma i c (fma b a (fma t z (* x y))))))
0.8b	(cbrt (fma i c (fma b a (fma t z (* x y)))))
0.8b	(cbrt (fma i c (fma b a (fma t z (* x y)))))
0.8b	(cbrt (fma i c (fma b a (fma t z (* x y)))))

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:

5.0ms	(* (cbrt (fma i c (fma b a (fma t z (* x y))))) (cbrt (fma i c (fma b a (fma t z (* x y))))))
1.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))
1.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))
2.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))

series486.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (fma i c (fma b a (fma t z (* x y))))) (cbrt (fma i c (fma b a (fma t z (* x y))))))
112.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))
111.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))
109.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	206	936
1	666	857
2	2526	759
3	5002	749

prune318.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (fma i c (fma b a (fma t z (* x y)))))
0.8b	(cbrt (fma i c (fma b a (fma t z (* x y)))))
0.8b	(cbrt (fma i c (fma b a (fma t z (* x y)))))
0.8b	(cbrt (fma i c (fma b a (fma t z (* x y)))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series440.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))
112.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))
108.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))
110.0ms	(cbrt (fma i c (fma b a (fma t z (* x y)))))

simplify94.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (29.0ms)

Iter	Nodes	Cost
0	98	508
1	190	464
2	454	432
3	1062	428
4	3157	416
5	5001	416

prune286.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes233.0ms

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

538.0ms

13690×

body

valid