Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	273×	body	80	valid
7.0ms	266×	body	80	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	23	4
2	40	4
3	59	4
4	74	4
5	103	4
6	120	4
7	145	4
8	226	4
9	257	4
10	257	4

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* y (sqrt x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* y (sqrt x))

simplify90.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	148	113
1	616	100
2	3038	94
3	5001	94

prune61.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
10.0ms	(* y (sqrt (sqrt x)))
17.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (sqrt x))
137.0ms	(sqrt (sqrt x))
81.0ms	(* y (sqrt (sqrt x)))
41.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	336	516
1	1481	454
2	5001	427

prune175.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	99	7	106

Merged error: 0b

Counts

106 → 7

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (pow x 1/4))
0.3b	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`sqrt-prod`
18×	`add-exp-log` `add-sqr-sqrt`
16×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp` `add-cbrt-cube`
7×	`pow1`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`pow-prod-down`

Counts

3 → 69

Calls

3 calls:

2.0ms	(sqrt (sqrt x))
5.0ms	(* y (pow x 1/4))
8.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(sqrt (sqrt x))
58.0ms	(* y (pow x 1/4))
85.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	400	433
1	1897	383
2	5001	368

prune157.0ms

Filtered

78 candidates to 49 candidates (62.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Merged error: 0b

Counts

85 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series735.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt x) (cbrt x))
173.0ms	(cbrt x)
180.0ms	(cbrt x)
175.0ms	(cbrt x)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune250.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes97.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample727.0ms

Algorithm

intervals

Results

240.0ms	8518×	body	80	valid
218.0ms	8559×	body	80	nan