Details

sample37.0ms

Algorithm

intervals

Results

10.0ms	276×	body	80	valid
10.0ms	287×	body	80	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	51	4
2	86	4
3	126	4
4	151	4
5	169	4
6	185	4
7	187	4
8	187	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt z) y 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 (sqrt z) y x)

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(fma (sqrt z) y x)

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (60.0ms)

Iter	Nodes	Cost
0	70	58
1	176	50
2	528	50
3	1813	46
4	5001	43

prune41.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	4	14

Merged error: 0.1b

Counts

14 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.2s

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
309.0ms	(cbrt (fma (sqrt z) y x))
306.0ms	(cbrt (fma (sqrt z) y x))
332.0ms	(cbrt (fma (sqrt z) y x))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	318	868
1	1125	805
2	5001	760

prune318.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	89	8	97

Merged error: 0.1b

Counts

97 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.3s

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt (fma (sqrt z) y x))
339.0ms	(cbrt (fma (sqrt z) y x))
304.0ms	(cbrt (fma (sqrt z) y x))
309.0ms	(cbrt (fma (sqrt z) y x))

simplify56.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	165	584
1	460	544
2	1748	532
3	5002	496

prune288.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	64	8	72

Merged error: 0.1b

Counts

72 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
2.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
2.0ms	(cbrt (cbrt (fma (sqrt z) y x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt (fma (sqrt z) y x))
315.0ms	(cbrt (fma (sqrt z) y x))
308.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
320.0ms	(cbrt (cbrt (fma (sqrt z) y x)))

simplify98.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	278	680
1	806	636
2	3166	624
3	5002	588

prune319.0ms

Filtered

70 candidates to 66 candidates (94.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	69	9	78

Merged error: 0.1b

Counts

78 → 9

regimes168.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample1.0s

Algorithm

intervals

Results

333.0ms	8543×	body	80	valid
304.0ms	8550×	body	80	nan