Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

346×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

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)

rewrite5.0ms

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)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (* x 3.0) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (61.0ms)

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

prune27.0ms

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

localize5.0ms

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)))
18.7b	(sqrt (* (* x 3.0) x))
18.7b	(sqrt (* (* x 3.0) x))

rewrite35.0ms

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)
15.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
6.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series159.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 3.0) x)
68.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
31.0ms	(sqrt (* (* x 3.0) x))
36.0ms	(sqrt (* (* x 3.0) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (36.0ms)

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

prune120.0ms

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
18.7b	(sqrt (* (* x 3.0) x))
18.7b	(sqrt (* (* x 3.0) x))
18.7b	(sqrt (* (* x 3.0) x))

rewrite32.0ms

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))

series164.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
48.0ms	(sqrt (* (* x 3.0) x))
47.0ms	(sqrt (* (* x 3.0) x))
32.0ms	(sqrt (* (* x 3.0) x))

simplify170.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 3 (161.0ms)

Iter	Nodes	Cost
0	140	515
1	557	476
2	3414	452
3	5001	431

prune161.0ms

Filtered

144 candidates to 66 candidates (45.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	143	10	153

Merged error: 0.0b

Counts

153 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
18.7b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
18.7b	(sqrt (* (* x 3.0) x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
16×	`pow-prod-down`
9×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))

series459.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
176.0ms	(cbrt x)
72.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
34.0ms	(sqrt (* (* x 3.0) x))

simplify133.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	89	252
1	208	237
2	628	183
3	3639	183
4	5003	183

prune131.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	69	10	79

Merged error: 0.0b

Counts

79 → 10

regimes53.0ms

Accuracy

0% (0.2b 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

sample268.0ms

Algorithm

intervals

Results

163.0ms

10738×

body

valid