Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	92×	body	1280	valid
6.0ms	54×	body	640	valid
4.0ms	22×	body	2560	valid
2.0ms	24×	body	320	valid
2.0ms	56×	body	80	valid
0.0ms	8×	body	160	valid

simplify26.0ms

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

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: 48.4b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

10.6b

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

7.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	115	163
1	404	152
2	2160	152
3	5001	152

prune28.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	1	22

Merged error: 48.4b

Counts

22 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

10.6b

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

9.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	272	309
1	1142	297
2	5001	286

prune41.0ms

Filtered

18 candidates to 29 candidates (-61.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 48.1b

Counts

30 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

1.0b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.8b	(- (- (fma x y z) 1.0) (* x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`diff-log`
8×	`associate--l+`
5×	`sub-neg`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `associate--l-` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify54.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	162	275
1	515	264
2	2224	259
3	5001	259

prune93.0ms

Filtered

26 candidates to 43 candidates (-65.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	31	12	43
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	31	16	47

Merged error: 47.8b

Counts

47 → 16

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.8b	(- (- (fma x y z) 1.0) (* x y))
10.8b	(- (- (fma x y z) 1.0) (* x y))
10.8b	(- (- (fma x y z) 1.0) (* x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-log-exp`
15×	`diff-log`
12×	`associate--l+`
9×	`sub-neg`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `associate--l-` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

10.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
6.0ms	(- (- (fma x y z) 1.0) (* x y))
6.0ms	(- (- (fma x y z) 1.0) (* x y))
6.0ms	(- (- (fma x y z) 1.0) (* x y))

series31.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms	(- (- (fma x y z) 1.0) (* x y))
7.0ms	(- (- (fma x y z) 1.0) (* x y))
7.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	162	487
1	515	476
2	2224	469
3	5001	469

prune114.0ms

Filtered

53 candidates to 81 candidates (-52.8%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	80	17	97

Merged error: 47.8b

Counts

97 → 17

regimes313.0ms

Accuracy

0% (0.5b remaining)

Error of 45.2b against oracle of 44.7b and baseline of 45.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	14	20

end0.0ms

sample1.1s

Algorithm

intervals

Results

382.0ms	2635×	body	1280	valid
185.0ms	1567×	body	640	valid
115.0ms	631×	body	2560	valid
67.0ms	2091×	body	80	valid
66.0ms	736×	body	320	valid
20.0ms	340×	body	160	valid

Details

sample42.0ms

simplify26.0ms

prune3.0ms

localize7.0ms

rewrite8.0ms

series10.0ms

simplify44.0ms

prune28.0ms

localize7.0ms

rewrite10.0ms

series9.0ms

simplify33.0ms

prune41.0ms

localize7.0ms

rewrite15.0ms

series17.0ms

simplify54.0ms

prune93.0ms

localize12.0ms

rewrite30.0ms

series31.0ms

simplify58.0ms

prune114.0ms

regimes313.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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