Details

sample26.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

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: 30.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

29.8b

(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:

4.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify99.0ms

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

prune32.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.1b

Counts

16 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (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)

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (sqrt 2.0) x)

simplify55.0ms

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

prune38.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	23	7	30

Merged error: 0.1b

Counts

30 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt (sqrt 2.0)) x)
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
18×	`associate-l`
15×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`*-commutative` `add-log-exp`

Counts

2 → 50

Calls

2 calls:

5.0ms	(* (sqrt (sqrt 2.0)) x)
8.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (sqrt (sqrt 2.0)) x)
4.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	124	289
1	514	247
2	1459	247
3	2280	247
4	5001	247

prune86.0ms

Filtered

33 candidates to 56 candidates (-69.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0.1b

Counts

63 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (sqrt (* 2.0 x)) (sqrt x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

7.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	117	148
1	464	144
2	2107	142
3	5001	142

prune30.0ms

Filtered

17 candidates to 30 candidates (-76.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	30	7	37

Merged error: 0.1b

Counts

37 → 7

regimes191.0ms

Accuracy

99.2% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 31.3b

bsearch19.0ms

Steps

Iters	Range		Point
8	-7.405708554686243e-307	2.1096223585500456e-307	2.48517257146574e-310

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

sample325.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results

189.0ms

8000×

body

valid

Details

sample26.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify99.0ms

prune32.0ms

localize3.0ms

rewrite5.0ms

series6.0ms

simplify55.0ms

prune38.0ms

localize5.0ms

rewrite15.0ms

series13.0ms

simplify64.0ms

prune86.0ms

localize5.0ms

rewrite8.0ms

series6.0ms

simplify60.0ms

prune30.0ms

regimes191.0ms

bsearch19.0ms

simplify1.0ms

end0.0ms

sample325.0ms

Profiling