Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

395×

body

valid

simplify295.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	16	6
1	33	4
2	56	4
3	76	3
4	88	3
5	131	3
6	236	3
7	328	3
8	343	3
9	443	3
10	797	3
11	3499	3
12	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 3 (* z z) (* x y))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma 3 (* z z) (* x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	33	59
1	79	52
2	256	52
3	1025	52
4	5001	52

prune33.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.1b

Counts

15 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3 (* z z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

5.0ms

(* 3 (* z z))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* 3 (* z z))

simplify201.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	88	76
1	291	66
2	1049	63
3	4500	63
4	5001	63

prune41.0ms

Filtered

24 candidates to 14 candidates (58.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 z) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* 3 z) z)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* 3 z) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	97	74
1	467	63
2	2248	60
3	5001	59

prune29.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b	(* (cbrt 3) (* z z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`add-cbrt-cube`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

13.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
6.0ms	(* (cbrt 3) (* z z))

series139.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
50.0ms	(* (cbrt 3) (* z z))

simplify97.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	189	404
1	712	296
2	3776	236
3	5002	227

prune80.0ms

Filtered

61 candidates to 31 candidates (50.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	61	4	65

Merged error: 0b

Counts

65 → 4

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample645.0ms

Algorithm

intervals

Results

382.0ms

12132×

body

valid