Details

sample12.0ms

Algorithm

intervals

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

Filtered

1 candidates to 0 candidates (100.0%)

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: 32.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

31.0b

(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))

simplify101.0ms

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

prune35.0ms

Filtered

15 candidates to 11 candidates (26.7%)

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

localize5.0ms

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:

5.0ms

(* (sqrt 2.0) x)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (sqrt 2.0) x)

simplify56.0ms

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

prune40.0ms

Filtered

25 candidates to 15 candidates (40.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	23	8	31

Merged error: 0.1b

Counts

31 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

5.0ms	(* (cbrt (sqrt 2.0)) x)
10.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))

series30.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (cbrt (sqrt 2.0)) x)
4.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))

simplify125.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	155	394
1	670	289
2	4049	252
3	5002	240

prune102.0ms

Filtered

54 candidates to 32 candidates (40.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	54	8	62

Merged error: 0.0b

Counts

62 → 8

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (pow (sqrt 2.0) 2/3))
0.3b	(* (cbrt (sqrt 2.0)) (* x (pow (sqrt 2.0) 2/3)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
16×	`add-sqr-sqrt`
12×	`associate-l`
11×	`associate-r`
10×	`prod-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`sqrt-prod` `add-cbrt-cube`
6×	`cbrt-prod`
4×	`pow1` `cbrt-unprod` `unswap-sqr`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
1×	`pow-prod-down`

Counts

2 → 54

Calls

2 calls:

6.0ms	(* x (pow (sqrt 2.0) 2/3))
8.0ms	(* (cbrt (sqrt 2.0)) (* x (pow (sqrt 2.0) 2/3)))

series38.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (pow (sqrt 2.0) 2/3))
4.0ms	(* (cbrt (sqrt 2.0)) (* x (pow (sqrt 2.0) 2/3)))

simplify131.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	191	356
1	749	305
2	4103	288
3	5001	275

prune93.0ms

Filtered

60 candidates to 38 candidates (36.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

regimes212.0ms

Accuracy

99% (0.3b remaining)

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

bsearch15.0ms

Steps

Iters	Range		Point
10	-2.4503610416383105e-306	7.189489267438372e-298	1.66592993967514e-310

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	28	14
2	36	14
3	36	14

end0.0ms

sample317.0ms

Algorithm

intervals

Results

193.0ms

8002×

body

valid

Details

sample12.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify101.0ms

prune35.0ms

localize5.0ms

rewrite5.0ms

series4.0ms

simplify56.0ms

prune40.0ms

localize10.0ms

rewrite17.0ms

series30.0ms

simplify125.0ms

prune102.0ms

localize12.0ms

rewrite16.0ms

series38.0ms

simplify131.0ms

prune93.0ms

regimes212.0ms

bsearch15.0ms

simplify2.0ms

end0.0ms

sample317.0ms

Profiling