Details

sample38.0ms

Algorithm

intervals

Results

12.0ms	79×	body	1280	valid
8.0ms	61×	body	640	valid
3.0ms	18×	body	2560	valid
3.0ms	27×	body	320	valid
3.0ms	64×	body	80	valid
0.0ms	7×	body	160	valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	43	5
2	91	5
3	194	5
4	321	5
5	579	5
6	1088	5
7	1305	5
8	1305	5

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: 46.2b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.4b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x y) z)
8.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* x y) z)
36.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	178	220
1	602	204
2	2697	203
3	5001	203

prune76.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	7	36

Merged error: 45.5b

Counts

36 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (+ (* x y) z))
6.9b	(cbrt (+ (* x y) z))
6.9b	(cbrt (+ (* x y) z))
34.8b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series356.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (* x y) z))
105.0ms	(cbrt (+ (* x y) z))
108.0ms	(cbrt (+ (* x y) z))
36.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	238	686
1	653	594
2	2161	559
3	5002	523

prune260.0ms

Filtered

67 candidates to 59 candidates (88.1%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	53	14	67
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	53	21	74

Merged error: 45.4b

Counts

74 → 21

localize17.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (+ (* x y) z))
6.9b	(cbrt (+ (* x y) z))
6.9b	(cbrt (+ (* x y) z))
33.6b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series356.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))
42.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify73.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	246	939
1	707	817
2	2552	734
3	5003	646

prune302.0ms

Filtered

67 candidates to 59 candidates (88.1%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	2	16	18
Picked	1	0	1
Done	0	2	2
Total	65	23	88

Merged error: 45.4b

Counts

88 → 23

localize20.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (+ (* x y) z))
6.9b	(cbrt (+ (* x y) z))
6.9b	(cbrt (+ (* x y) z))
33.6b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))))

series361.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (+ (* x y) z))
106.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (+ (* x y) z))
43.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))))

simplify73.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	251	1192
1	721	1098
2	2717	987
3	5003	767

prune261.0ms

Filtered

67 candidates to 59 candidates (88.1%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	2	18	20
Picked	0	1	1
Done	0	2	2
Total	66	24	90

Merged error: 45.4b

Counts

90 → 24

regimes419.0ms

Accuracy

0% (0.7b remaining)

Error of 45.0b against oracle of 44.4b and baseline of 45.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

412.0ms	2610×	body	1280	valid
200.0ms	1618×	body	640	valid
115.0ms	589×	body	2560	valid
73.0ms	2103×	body	80	valid
68.0ms	726×	body	320	valid
25.0ms	354×	body	160	valid