Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

349×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (21.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	71	4
3	160	4
4	274	4
5	462	4
6	727	4
7	891	3
8	1083	3
9	1216	3
10	1269	3
11	1269	3

prune7.0ms

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:

2.8b	(fma (/ y a) (- t z) x)

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 (/ y a) (- t z) x)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma (/ y a) (- t z) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1308	53
4	5001	53

prune32.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma (/ y a) (- t z) x)) (cbrt (fma (/ y a) (- t z) x)))
2.8b	(fma (/ y a) (- t z) x)
2.8b	(fma (/ y a) (- t z) x)
2.8b	(fma (/ y a) (- t z) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (fma (/ y a) (- t z) x)) (cbrt (fma (/ y a) (- t z) x)))
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series447.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt (fma (/ y a) (- t z) x)) (cbrt (fma (/ y a) (- t z) x)))
45.0ms	(fma (/ y a) (- t z) x)
43.0ms	(fma (/ y a) (- t z) x)
47.0ms	(fma (/ y a) (- t z) x)

simplify80.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	183	677
1	652	618
2	2894	532
3	5001	521

prune205.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

2.8b	(fma (/ y a) (- t z) x)
2.8b	(fma (/ y a) (- t z) x)
2.8b	(fma (/ y a) (- t z) x)
2.8b	(fma (/ y a) (- t z) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series172.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma (/ y a) (- t z) x)
41.0ms	(fma (/ y a) (- t z) x)
44.0ms	(fma (/ y a) (- t z) x)
41.0ms	(fma (/ y a) (- t z) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1308	212
4	5001	212

prune186.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

2.8b	(fma (/ y a) (- t z) x)
2.8b	(fma (/ y a) (- t z) x)
2.8b	(fma (/ y a) (- t z) x)
2.8b	(fma (/ y a) (- t z) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series175.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (/ y a) (- t z) x)
43.0ms	(fma (/ y a) (- t z) x)
44.0ms	(fma (/ y a) (- t z) x)
42.0ms	(fma (/ y a) (- t z) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1308	212
4	5001	212

prune178.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

regimes344.0ms

Accuracy

84.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample676.0ms

Algorithm

intervals

Results

356.0ms

10660×

body

valid