Details

sample15.0ms

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: 26.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

25.1b

(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))

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

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: 0.2b

Counts

16 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

5.5b	(exp (log (sqrt (* (* 2.0 x) x))))
25.1b	(sqrt (* (* 2.0 x) x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
8×	`exp-prod`
6×	`sqrt-pow1` `pow-prod-down`
5×	`log-pow`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity` `exp-sum`
2×	`add-exp-log` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
1×	`rem-exp-log`

Counts

2 → 32

Calls

2 calls:

5.0ms	(exp (log (sqrt (* (* 2.0 x) x))))
4.0ms	(sqrt (* (* 2.0 x) x))

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(exp (log (sqrt (* (* 2.0 x) x))))
4.0ms	(sqrt (* (* 2.0 x) x))

simplify77.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 5 (13.0ms)

Iter	Nodes	Cost
0	70	136
1	115	132
2	156	126
3	205	120
4	334	120
5	735	118
6	2315	118
7	5001	118

prune52.0ms

Filtered

22 candidates to 38 candidates (-72.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	37	7	44

Merged error: 0.2b

Counts

44 → 7

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)

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

prune43.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	22	10	32

Merged error: 0.1b

Counts

32 → 10

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))

rewrite16.0ms

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)
9.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify67.0ms

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

prune76.0ms

Filtered

33 candidates to 56 candidates (-69.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	2	4	6
Picked	0	1	1
Done	0	3	3
Total	57	9	66

Merged error: 0.1b

Counts

66 → 9

regimes219.0ms

Accuracy

99.1% (0.3b remaining)

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

bsearch11.0ms

Steps

Iters	Range		Point
6	-4.308748817249256e-309	1.5843021643912442e-307	5.26598531814963e-310

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample311.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results

184.0ms

8000×

body

valid

Details

sample15.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify99.0ms

prune36.0ms

localize8.0ms

rewrite10.0ms

series7.0ms

simplify77.0ms

prune52.0ms

localize3.0ms

rewrite5.0ms

series4.0ms

simplify55.0ms

prune43.0ms

localize5.0ms

rewrite16.0ms

series10.0ms

simplify67.0ms

prune76.0ms

regimes219.0ms

bsearch11.0ms

simplify2.0ms

end0.0ms

sample311.0ms

Profiling