Details

sample67.0ms

Algorithm

intervals

Results

26.0ms	86×	body	1280	valid
15.0ms	59×	body	640	valid
7.0ms	20×	body	2560	valid
5.0ms	70×	body	80	valid
2.0ms	12×	body	320	valid
1.0ms	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.9b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite28.0ms

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

series59.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
37.0ms	(- (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

prune95.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 44.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
8.9b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
8.9b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
8.9b	(- (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:

3.0ms	(+ (* x y) z)
21.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
21.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
24.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x y) z)
37.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
37.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
41.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (17.0ms)

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

prune229.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 44.3b

localize12.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (+ (* x y) z))
7.5b	(cbrt (+ (* x y) z))
7.5b	(cbrt (+ (* x y) z))
32.4b	(- (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)))))

series371.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (+ (* x y) z))
111.0ms	(cbrt (+ (* x y) z))
112.0ms	(cbrt (+ (* x y) z))
39.0ms	(- (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

prune291.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 44.1b

localize18.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (+ (* x y) z))
32.4b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
32.4b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
32.4b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) z))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
6.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (+ (* x y) z))
43.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
37.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
41.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	238	1186
1	653	966
2	2161	909
3	5002	809

prune283.0ms

Pruning

24 alts after pruning (21 fresh and 3 done)

Merged error: 44.1b

regimes412.0ms

Accuracy

0% (0.7b remaining)

Error of 44.4b against oracle of 43.7b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	16	20

end0.0ms

sample2.0s

Algorithm

intervals

Results

808.0ms	2635×	body	1280	valid
399.0ms	1561×	body	640	valid
214.0ms	563×	body	2560	valid
175.0ms	2191×	body	80	valid
138.0ms	711×	body	320	valid
47.0ms	339×	body	160	valid