Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	79×	body	1280	valid
5.0ms	54×	body	640	valid
3.0ms	20×	body	2560	valid
2.0ms	75×	body	80	valid
1.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid

simplify28.0ms

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

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: 43.3b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite12.0ms

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:

21.0ms	(+ (* x y) z)
36.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (17.0ms)

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

prune80.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Merged error: 42.9b

Counts

36 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

8.3b	(cbrt (+ (* x y) z))
8.3b	(cbrt (+ (* x y) z))
8.3b	(cbrt (+ (* x y) z))
29.1b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite17.0ms

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)))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (+ (* x y) z))
103.0ms	(cbrt (+ (* x y) z))
109.0ms	(cbrt (+ (* x y) z))
38.0ms	(- (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

prune247.0ms

Filtered

67 candidates to 59 candidates (88.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	55	12	67
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	55	18	73

Merged error: 42.8b

Counts

73 → 18

localize17.0ms

Local error

Found 4 expressions with local error:

8.3b	(cbrt (+ (* x y) z))
8.3b	(cbrt (+ (* x y) z))
8.3b	(cbrt (+ (* x y) z))
30.9b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

rewrite17.0ms

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 (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

series367.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))
41.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	247	916
1	678	846
2	2433	828
3	5002	825

prune330.0ms

Filtered

67 candidates to 58 candidates (86.6%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	57	10	67
Fresh	3	12	15
Picked	1	0	1
Done	0	2	2
Total	61	24	85

Merged error: 42.7b

Counts

85 → 24

localize20.0ms

Local error

Found 4 expressions with local error:

8.3b	(cbrt (+ (* x y) z))
8.3b	(cbrt (+ (* x y) z))
8.3b	(cbrt (+ (* x y) z))
34.2b	(- (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)))))))

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 (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (+ (* x y) z))
102.0ms	(cbrt (+ (* x y) z))
103.0ms	(cbrt (+ (* x y) z))
38.0ms	(- (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)))))))

simplify72.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (63.0ms)

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

prune223.0ms

Filtered

67 candidates to 59 candidates (88.1%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	1	20	21
Picked	0	1	1
Done	0	2	2
Total	65	26	91

Merged error: 42.7b

Counts

91 → 26

regimes450.0ms

Accuracy

0% (0.7b remaining)

Error of 45.1b against oracle of 44.4b and baseline of 45.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample894.0ms

Algorithm

intervals

Results

336.0ms	2631×	body	1280	valid
156.0ms	1596×	body	640	valid
93.0ms	623×	body	2560	valid
58.0ms	2116×	body	80	valid
55.0ms	748×	body	320	valid
14.0ms	286×	body	160	valid