Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	260×	body	80	nan

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 19.1b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

4.0ms	(+ (* x y) (* x z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x y) (* x z))
22.0ms	(+ (+ (* x y) (* x z)) (* y z))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify130.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	344
2	4339	335
3	5001	334

prune183.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	6	61

Merged error: 19.0b

Counts

61 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
6×	`pow1` `sum-log` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
116.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	200	618
1	734	550
2	3300	534
3	5001	532

prune323.0ms

Filtered

84 candidates to 68 candidates (81.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Merged error: 19.0b

Counts

90 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-log-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `cbrt-div` `fma-def` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
3×	`sum-log` `sqrt-prod`
2×	`pow1/3` `sqrt-div`
1×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 66

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series579.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ (* x y) (* x z)) (* y z))
117.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
224.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
217.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify114.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	274	687
1	888	627
2	3686	599
3	5001	598

prune401.0ms

Filtered

78 candidates to 69 candidates (88.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	78	5	83

Merged error: 19.0b

Counts

83 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqrt-div`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 66

Calls

4 calls:

5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
119.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
216.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	224	735
1	678	680
2	2435	661
3	5002	657

prune422.0ms

Filtered

78 candidates to 69 candidates (88.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	78	5	83

Merged error: 19.0b

Counts

83 → 5

regimes185.0ms

Accuracy

0% (0.1b remaining)

Error of 19.9b against oracle of 19.9b and baseline of 19.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample826.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
242.0ms	8171×	body	80	nan