Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

330×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

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

(* (* x 3.0) x)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* x 3.0) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	96	78
1	435	63
2	2298	63
3	5001	62

prune30.0ms

Filtered

23 candidates to 12 candidates (52.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	18	5	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	6	24

Merged error: 0.1b

Counts

24 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
13.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series163.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 3.0) x)
68.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
33.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	183	396
1	948	335
2	5001	324

prune129.0ms

Filtered

128 candidates to 57 candidates (44.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	125	9	134

Merged error: 0.0b

Counts

134 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

157×	`pow1`
149×	`sqrt-pow1`
82×	`pow-prod-down`
29×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`pow1/2`
21×	`pow-prod-up`
13×	`pow-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 132

Calls

4 calls:

15.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series137.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
32.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))
37.0ms	(sqrt (* (* x 3.0) x))

simplify167.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 3 (158.0ms)

Iter	Nodes	Cost
0	139	515
1	555	476
2	3421	452
3	5001	431

prune166.0ms

Filtered

144 candidates to 66 candidates (45.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	142	11	153

Merged error: 0.0b

Counts

153 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))
22.0b	(sqrt (* (* x 3.0) x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
12×	`sqrt-pow1` `pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series173.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (* (* x 3.0) x))
52.0ms	(sqrt (* (* x 3.0) x))
48.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))

simplify101.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	34	212
1	59	204
2	86	204
3	105	204
4	124	204
5	178	204
6	605	204
7	1843	204
8	5001	204

prune128.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	68	11	79

Merged error: 0.0b

Counts

79 → 11

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample279.0ms

Algorithm

intervals

Results

164.0ms

10665×

body

valid