Details

sample12.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

6.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	10	3
2	10	3

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: 27.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

26.4b

(sqrt (* (* 2.0 x) x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
3×	`sqrt-pow1` `pow-prod-down`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

3.0ms

(sqrt (* (* 2.0 x) x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt (* (* 2.0 x) x))

simplify100.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	33	45
1	60	43
2	86	43
3	100	43
4	119	43
5	173	43
6	600	43
7	1831	43
8	5001	43

prune36.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Merged error: 0.1b

Counts

16 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* (* 2.0 x) x)))
0.5b	(* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
26.4b	(sqrt (* (* 2.0 x) x))
26.4b	(sqrt (* (* 2.0 x) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

158×	`pow1`
154×	`sqrt-pow1`
82×	`pow-prod-down`
33×	`sqrt-prod`
26×	`add-sqr-sqrt`
24×	`pow1/2`
21×	`pow-prod-up`
13×	`add-cube-cbrt` `*-un-lft-identity` `pow-sqr`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 130

Calls

4 calls:

4.0ms	(sqrt (sqrt (* (* 2.0 x) x)))
14.0ms	(* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))

series20.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (sqrt (* (* 2.0 x) x)))
4.0ms	(* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
4.0ms	(sqrt (* (* 2.0 x) x))
6.0ms	(sqrt (* (* 2.0 x) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	213	559
1	889	517
2	5001	478

prune143.0ms

Filtered

60 candidates to 142 candidates (-136.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	139	9	148

Merged error: 0.1b

Counts

148 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (* (* 2.0 x) x)))
26.4b	(sqrt (* (* 2.0 x) x))
26.4b	(sqrt (* (* 2.0 x) x))
26.4b	(sqrt (* (* 2.0 x) x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
9×	`sqrt-pow1` `pow-prod-down`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `cbrt-prod` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`pow1/2`
1×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

4.0ms	(cbrt (sqrt (* (* 2.0 x) x)))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))

series36.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (sqrt (* (* 2.0 x) x)))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))
4.0ms	(sqrt (* (* 2.0 x) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 5 (59.0ms)

Iter	Nodes	Cost
0	84	240
1	151	224
2	270	218
3	679	218
4	2221	216
5	5001	212

prune150.0ms

Filtered

45 candidates to 60 candidates (-33.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	60	9	69

Merged error: 0.1b

Counts

69 → 9

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt 2.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

4.0ms

(* (sqrt 2.0) x)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (sqrt 2.0) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	64	84
1	224	80
2	521	80
3	809	80
4	1933	80
5	5001	80

prune28.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	2	3	5
Picked	0	1	1
Done	1	2	3
Total	26	8	34

Merged error: 0.1b

Counts

34 → 8

regimes197.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 30.2b

bsearch14.0ms

Steps

Iters	Range		Point
10	-5.863114299172635e-300	4.237497772010399e-303	1.0369940319875e-311

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	24	7
2	24	7

end0.0ms

sample302.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

181.0ms

8002×

body

valid

Details

sample12.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify100.0ms

prune36.0ms

localize6.0ms

rewrite32.0ms

series20.0ms

simplify40.0ms

prune143.0ms

localize13.0ms

rewrite17.0ms

series36.0ms

simplify64.0ms

prune150.0ms

localize3.0ms

rewrite5.0ms

series4.0ms

simplify58.0ms

prune28.0ms

regimes197.0ms

bsearch14.0ms

simplify1.0ms

end0.0ms

sample302.0ms

Profiling