Details

analyze3.0ms

Algorithm: search

sample13.0ms

Algorithm

intervals

Results

4.0ms

256×

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

prune2.0ms

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* 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)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x 3.0) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (52.0ms)

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

prune26.0ms

Filtered

10 candidates to 21 candidates (-110.0%)

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: 0.0b

Counts

22 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
17.5b	(sqrt (* (* x 3.0) x))
17.5b	(sqrt (* (* x 3.0) x))

rewrite30.0ms

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

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 3.0) x)
7.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (39.0ms)

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

prune109.0ms

Filtered

49 candidates to 120 candidates (-144.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
17.5b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
17.5b	(sqrt (* (* x 3.0) x))

rewrite17.0ms

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

series56.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
23.0ms	(cbrt x)
8.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (41.0ms)

Iter	Nodes	Cost
0	104	242
1	211	225
2	473	165
3	1430	163
4	5002	157

prune88.0ms

Filtered

41 candidates to 61 candidates (-48.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	61	9	70

Merged error: 0.0b

Counts

70 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))
18.1b	(cbrt (* (* x 3.0) x))
18.1b	(cbrt (* (* x 3.0) x))
18.1b	(cbrt (* (* x 3.0) x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))
3.0ms	(cbrt (* (* x 3.0) x))
3.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))

series106.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))
27.0ms	(cbrt (* (* x 3.0) x))
25.0ms	(cbrt (* (* x 3.0) x))
25.0ms	(cbrt (* (* x 3.0) x))

simplify83.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	171	440
1	545	389
2	2524	312
3	5001	307

prune111.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	69	10	79

Merged error: 0.0b

Counts

79 → 10

regimes98.0ms

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

analyze3.0ms

Algorithm: search

sample199.0ms

Algorithm

intervals

Results

121.0ms

8000×

body

valid

Details

analyze3.0ms

sample13.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite5.0ms

series3.0ms

simplify55.0ms

prune26.0ms

localize6.0ms

rewrite30.0ms

series17.0ms

simplify47.0ms

prune109.0ms

localize12.0ms

rewrite17.0ms

series56.0ms

simplify45.0ms

prune88.0ms

localize8.0ms

rewrite17.0ms

series106.0ms

simplify83.0ms

prune111.0ms

regimes98.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample199.0ms

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