Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

333×

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune29.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.1b

Counts

22 → 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)))
18.4b	(sqrt (* (* x 3.0) x))
18.4b	(sqrt (* (* x 3.0) x))

rewrite28.0ms

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×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
12.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series168.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 3.0) x)
71.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
34.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune134.0ms

Filtered

120 candidates to 49 candidates (40.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	116	10	126

Merged error: 0.0b

Counts

126 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
18.4b	(sqrt (* (* x 3.0) x))
18.4b	(sqrt (* (* x 3.0) x))
18.4b	(sqrt (* (* x 3.0) x))

rewrite34.0ms

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×	`add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 124

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))

series146.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
40.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))
39.0ms	(sqrt (* (* x 3.0) x))

simplify167.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (158.0ms)

Iter	Nodes	Cost
0	135	483
1	545	444
2	3369	420
3	5002	399

prune186.0ms

Filtered

136 candidates to 59 candidates (43.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	136	10	146

Merged error: 0.0b

Counts

146 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

18.4b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
19.1b	(cbrt (* (* x 3.0) x))
19.1b	(cbrt (* (* x 3.0) x))
19.1b	(cbrt (* (* x 3.0) x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`pow-prod-up`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 51

Calls

4 calls:

9.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
4.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))

series781.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
222.0ms	(cbrt (* (* x 3.0) x))
215.0ms	(cbrt (* (* x 3.0) x))
223.0ms	(cbrt (* (* x 3.0) x))

simplify87.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	85	310
1	210	264
2	1185	258
3	5001	258

prune124.0ms

Filtered

63 candidates to 41 candidates (65.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	63	10	73

Merged error: 0.0b

Counts

73 → 10

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

sample291.0ms

Algorithm

intervals

Results

162.0ms

10591×

body

valid