Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	230×	body	80	nan

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune2.0ms

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: 18.5b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
17.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

4.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x y) (* x z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify123.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	249	355
1	908	322
2	3660	314
3	5001	314

prune130.0ms

Filtered

49 candidates to 37 candidates (75.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 18.5b

Counts

50 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (+ (* x y) (* x z)) (* y z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
17.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

10.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify96.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	186	576
1	666	520
2	2872	508
3	5001	508

prune228.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Merged error: 18.4b

Counts

74 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

17.5b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
18.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

23.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series715.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
201.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
201.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
206.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify118.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	359	2148
1	853	2082
2	3030	2037
3	5001	1939

prune354.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Merged error: 18.4b

Counts

108 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (+ (* x y) (* x z)) (* y z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
18.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `associate-+l+` `pow1/3`

Counts

4 → 52

Calls

4 calls:

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

series442.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
200.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
199.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	197	594
1	625	540
2	2618	516
3	5001	514

prune215.0ms

Filtered

64 candidates to 52 candidates (81.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	2	1	3
Picked	0	1	1
Done	1	2	3
Total	65	6	71

Merged error: 18.4b

Counts

71 → 6

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample807.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	80	valid
236.0ms	7925×	body	80	nan