Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

343×

body

valid

simplify7.0ms

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

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (* x 3.0) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (60.0ms)

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

prune27.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.1b

Counts

22 → 5

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)))
21.2b	(sqrt (* (* x 3.0) x))
21.2b	(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×	`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)
13.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series195.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x 3.0) x)
83.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
38.0ms	(sqrt (* (* x 3.0) x))
46.0ms	(sqrt (* (* x 3.0) x))

simplify50.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (42.0ms)

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

prune140.0ms

Filtered

120 candidates to 50 candidates (41.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
21.2b	(sqrt (* (* x 3.0) x))
21.2b	(sqrt (* (* x 3.0) x))
21.2b	(sqrt (* (* x 3.0) x))

rewrite40.0ms

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:

21.0ms	(* (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))

series162.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
38.0ms	(sqrt (* (* x 3.0) x))
46.0ms	(sqrt (* (* x 3.0) x))
39.0ms	(sqrt (* (* x 3.0) x))

simplify195.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (178.0ms)

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

prune175.0ms

Filtered

136 candidates to 58 candidates (42.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	136	9	145

Merged error: 0.0b

Counts

145 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
21.2b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
21.2b	(sqrt (* (* x 3.0) x))

rewrite19.0ms

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` `add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))

series528.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt x)
209.0ms	(cbrt x)
73.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
45.0ms	(sqrt (* (* x 3.0) x))

simplify151.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	83	218
1	202	203
2	622	159
3	3627	159
4	5002	159

prune136.0ms

Filtered

61 candidates to 44 candidates (72.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	61	9	70

Merged error: 0.0b

Counts

70 → 9

regimes58.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample294.0ms

Algorithm

intervals

Results

180.0ms

10620×

body

valid

Details

sample12.0ms

simplify7.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series29.0ms

simplify69.0ms

prune27.0ms

localize6.0ms

rewrite31.0ms

series195.0ms

simplify50.0ms

prune140.0ms

localize9.0ms

rewrite40.0ms

series162.0ms

simplify195.0ms

prune175.0ms

localize13.0ms

rewrite19.0ms

series528.0ms

simplify151.0ms

prune136.0ms

regimes58.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample294.0ms

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