Details

sample45.0ms

Algorithm

intervals

Results

22.0ms

472×

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

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

localize13.0ms

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))

series316.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms	(fma i c (fma b a (fma x y (* z t))))
61.0ms	(fma b a (fma x y (* z t)))
36.0ms	(fma x y (* z t))

simplify95.0ms

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

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: 0b

Counts

40 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
1.8b	(cbrt (fma x y (* z t)))
1.8b	(cbrt (fma x y (* z t)))
1.8b	(cbrt (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:

6.0ms	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
1.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
103.0ms	(cbrt (fma x y (* z t)))
104.0ms	(cbrt (fma x y (* z t)))
102.0ms	(cbrt (fma x y (* z t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	243	691
1	803	636
2	3085	573
3	5001	545

prune301.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* z t))
0.2b	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.3b	(sqrt (fma x y (* z t)))
1.3b	(sqrt (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 x y (* z t))) (sqrt (fma x y (* z t))))
2.0ms	(sqrt (fma x y (* z t)))
2.0ms	(sqrt (fma x y (* z t)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma x y (* z t))
40.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
78.0ms	(sqrt (fma x y (* z t)))
76.0ms	(sqrt (fma x y (* z t)))

simplify140.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	157	462
1	608	406
2	3496	388
3	5001	369

prune251.0ms

Filtered

103 candidates to 65 candidates (63.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes352.0ms

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

688.0ms

13667×

body

valid