Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	76×	body	1280	valid
6.0ms	26×	body	320	valid
5.0ms	41×	body	640	valid
5.0ms	24×	body	2560	valid
3.0ms	75×	body	80	valid
1.0ms	14×	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: 43.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.3b	(- (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)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

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

prune81.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	27	8	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	8	36

Merged error: 42.7b

Counts

36 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.3b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

4.0ms	(+ (* x y) z)
9.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series60.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
39.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	281	361
1	1187	349
2	5001	338

prune98.0ms

Filtered

43 candidates to 28 candidates (65.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	41	10	51

Merged error: 42.5b

Counts

51 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

1.5b	(- (- (- (fma x y z) 1.0) (* x y)) z)
11.5b	(- (- (fma x y z) 1.0) (* x y))

rewrite16.0ms

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:

9.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
6.0ms	(- (- (fma x y z) 1.0) (* x y))

series72.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
32.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (15.0ms)

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

prune118.0ms

Filtered

43 candidates to 26 candidates (60.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	32	11	43
Fresh	0	8	8
Picked	0	1	1
Done	1	0	1
Total	33	20	53

Merged error: 42.4b

Counts

53 → 20

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (- (- (fma x y z) 1.0) (* x y)) z)
11.5b	(- (- (fma x y z) 1.0) (* x y))
11.5b	(- (- (fma x y z) 1.0) (* x y))
11.5b	(- (- (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:

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

series141.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
32.0ms	(- (- (fma x y z) 1.0) (* x y))
32.0ms	(- (- (fma x y z) 1.0) (* x y))
36.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (16.0ms)

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

prune173.0ms

Filtered

81 candidates to 53 candidates (65.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	18	18
Picked	1	0	1
Done	0	1	1
Total	81	20	101

Merged error: 42.4b

Counts

101 → 20

regimes220.0ms

Accuracy

0% (0.7b remaining)

Error of 45.3b against oracle of 44.5b and baseline of 45.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	17	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

441.0ms	2657×	body	1280	valid
201.0ms	1536×	body	640	valid
123.0ms	625×	body	2560	valid
82.0ms	2079×	body	80	valid
76.0ms	749×	body	320	valid
24.0ms	354×	body	160	valid