Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	89×	body	1280	valid
5.0ms	48×	body	640	valid
3.0ms	19×	body	2560	valid
2.0ms	27×	body	320	valid
2.0ms	66×	body	80	valid
0.0ms	7×	body	160	valid

simplify29.0ms

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: 46.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
0.0b	(+ (* x y) z)
9.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

6.0ms	(+ 1.0 (+ (* x y) z))
4.0ms	(+ (* x y) z)
8.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ 1.0 (+ (* x y) z))
20.0ms	(+ (* x y) z)
41.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	223	293
1	768	282
2	3261	281
3	5002	281

prune121.0ms

Filtered

52 candidates to 36 candidates (69.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	7	53

Merged error: 45.7b

Counts

53 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
9.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
9.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
9.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

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

series133.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* x y) z)
36.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
38.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
36.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	178	546
1	602	508
2	2697	507
3	5001	507

prune211.0ms

Filtered

77 candidates to 52 candidates (67.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	77	7	84

Merged error: 45.7b

Counts

84 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (+ (* x y) z))
7.7b	(cbrt (+ (* x y) z))
7.7b	(cbrt (+ (* x y) z))
32.5b	(- (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)))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))
103.0ms	(cbrt (+ (* x y) z))
36.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (50.0ms)

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

prune272.0ms

Filtered

67 candidates to 59 candidates (88.1%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	53	14	67
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	54	20	74

Merged error: 45.5b

Counts

74 → 20

localize17.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (+ (* x y) z))
7.7b	(cbrt (+ (* x y) z))
7.7b	(cbrt (+ (* x y) z))
34.8b	(- (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)))))))

series351.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (+ (* x y) z))
103.0ms	(cbrt (+ (* x y) z))
106.0ms	(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)))))))

simplify74.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (66.0ms)

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

prune266.0ms

Filtered

67 candidates to 59 candidates (88.1%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	2	15	17
Picked	1	0	1
Done	0	2	2
Total	63	24	87

Merged error: 45.5b

Counts

87 → 24

regimes411.0ms

Accuracy

0% (0.7b remaining)

Error of 45.0b against oracle of 44.3b and baseline of 45.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	16	20

end0.0ms

sample920.0ms

Algorithm

intervals

Results

341.0ms	2547×	body	1280	valid
170.0ms	1634×	body	640	valid
101.0ms	631×	body	2560	valid
59.0ms	730×	body	320	valid
59.0ms	2108×	body	80	valid
19.0ms	350×	body	160	valid