Details

sample10.0ms

Algorithm

intervals

Results

5.0ms

349×

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)

simplify51.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (48.0ms)

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

prune26.0ms

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

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.0b	(sqrt (* (* x 3.0) x))
18.0b	(sqrt (* (* x 3.0) x))

rewrite27.0ms

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

series163.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 3.0) x)
69.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
32.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (34.0ms)

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

prune135.0ms

Filtered

120 candidates to 50 candidates (41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
18.0b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
18.0b	(sqrt (* (* x 3.0) x))

rewrite21.0ms

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)
14.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))

series474.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt x)
183.0ms	(cbrt x)
68.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
34.0ms	(sqrt (* (* x 3.0) x))

simplify151.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (147.0ms)

Iter	Nodes	Cost
0	83	227
1	202	212
2	622	168
3	3627	168
4	5002	159

prune128.0ms

Filtered

61 candidates to 44 candidates (72.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	60	10	70

Merged error: 0.0b

Counts

70 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.6b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
18.0b	(sqrt (* (* x 3.0) x))
18.0b	(sqrt (* (* x 3.0) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
25×	`pow1`
20×	`associate-l`
18×	`unpow-prod-down` `cube-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-pow1`
12×	`unswap-sqr`
10×	`add-exp-log`
9×	`pow-prod-down`
7×	`pow-pow` `associate-r` `add-cbrt-cube`
4×	`pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 115

Calls

4 calls:

13.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
6.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series327.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
185.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
37.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	324	926
1	1559	742
2	5001	653

prune166.0ms

Filtered

127 candidates to 65 candidates (51.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	126	11	137

Merged error: 0b

Counts

137 → 11

regimes62.0ms

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

sample266.0ms

Algorithm

intervals

Results

163.0ms

10756×

body

valid