Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

363×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	2
1	24	2
2	47	2
3	71	2
4	71	2

prune5.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (fma x y z) y t)

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 (fma x y z) y t)

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(fma (fma x y z) y t)

simplify58.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	47
1	91	38
2	366	38
3	1887	38
4	5001	38

prune38.0ms

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	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series805.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
146.0ms	(cbrt (fma (fma x y z) y t))
333.0ms	(cbrt (fma (fma x y z) y t))
147.0ms	(cbrt (fma (fma x y z) y t))

simplify47.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	255	749
1	979	668
2	5002	582

prune269.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`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 → 55

Calls

4 calls:

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

series602.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (fma (fma x y z) y t))
154.0ms	(cbrt (fma (fma x y z) y t))
148.0ms	(cbrt (fma (fma x y z) y t))
153.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	194	464
1	519	418
2	2168	398
3	5002	386

prune282.0ms

Filtered

67 candidates to 63 candidates (94.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

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

series613.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (fma (fma x y z) y t))
151.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
155.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
153.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

simplify68.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	194	560
1	519	510
2	2168	490
3	5002	478

prune282.0ms

Filtered

73 candidates to 69 candidates (94.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

regimes136.0ms

Accuracy

0% (0.0b 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	6	2

end0.0ms

sample539.0ms

Algorithm

intervals

Results

268.0ms

11187×

body

valid