Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	84×	body	1280	valid
5.0ms	55×	body	640	valid
2.0ms	15×	body	2560	valid
2.0ms	26×	body	320	valid
2.0ms	67×	body	80	valid
0.0ms	9×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite25.0ms

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:

3.0ms	(+ (* x y) z)
22.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
40.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (16.0ms)

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

prune90.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 44.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite71.0ms

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:

5.0ms	(+ (* x y) z)
21.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
22.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
22.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x y) z)
40.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
35.0ms	(- (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

prune221.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 44.6b

localize12.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (+ (* x y) z))
7.6b	(cbrt (+ (* x y) z))
7.6b	(cbrt (+ (* x y) z))
34.0b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite14.0ms

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:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
6.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (+ (* x y) z))
106.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))
41.0ms	(- (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

prune282.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 44.5b

localize17.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (+ (* x y) z))
7.6b	(cbrt (+ (* x y) z))
7.6b	(cbrt (+ (* x y) z))
35.0b	(- (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)))))))

rewrite14.0ms

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:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
6.0ms	(- (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)))))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (+ (* x y) z))
108.0ms	(cbrt (+ (* x y) z))
106.0ms	(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)))))))

simplify71.0ms

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

prune269.0ms

Pruning

25 alts after pruning (22 fresh and 3 done)

Merged error: 44.5b

regimes438.0ms

Accuracy

0% (0.7b remaining)

Error of 44.9b against oracle of 44.3b and baseline of 44.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	16	20

end0.0ms

sample876.0ms

Algorithm

intervals

Results

328.0ms	2634×	body	1280	valid
151.0ms	1541×	body	640	valid
89.0ms	615×	body	2560	valid
66.0ms	2136×	body	80	valid
56.0ms	728×	body	320	valid
17.0ms	346×	body	160	valid