Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

408×

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

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

series318.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(fma b a (fma x y (* z t)))
36.0ms	(fma x y (* z t))
219.0ms	(fma i c (fma b a (fma x y (* z t))))

simplify94.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (4.0ms)

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

prune121.0ms

Filtered

39 candidates to 36 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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))))))
0.6b	(cbrt (fma i c (fma b a (fma x y (* z t)))))
0.6b	(cbrt (fma i c (fma b a (fma x y (* z t)))))
0.6b	(cbrt (fma i c (fma b a (fma x y (* z t)))))

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

series486.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (fma i c (fma b a (fma x y (* z t))))) (cbrt (fma i c (fma b a (fma x y (* z t))))))
110.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
108.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
108.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))

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

prune312.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	94	2	96

Merged error: 0b

Counts

96 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma i c (fma b a (fma x y (* z t)))))
0.6b	(cbrt (fma i c (fma b a (fma x y (* z t)))))
0.6b	(cbrt (fma i c (fma b a (fma x y (* z t)))))
0.6b	(cbrt (fma i c (fma b a (fma x y (* z t)))))

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

series456.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
113.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
117.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))
111.0ms	(cbrt (fma i c (fma b a (fma x y (* z t)))))

simplify98.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (31.0ms)

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

prune268.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	64	2	66

Merged error: 0b

Counts

66 → 2

regimes197.0ms

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

sample1.2s

Algorithm

intervals

Results

661.0ms

13553×

body

valid