Details

analyze3.0ms

Algorithm: search

sample10.0ms

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

prune8.0ms

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: 29.9b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

29.0b

(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:

3.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify104.0ms

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

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

localize4.0ms

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)

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

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	1	3	4
Picked	0	1	1
Done	0	1	1
Total	24	7	31

Merged error: 0.1b

Counts

31 → 7

localize7.0ms

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))

series33.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (cbrt (sqrt 2.0)) x)
4.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))

simplify129.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (125.0ms)

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

prune103.0ms

Filtered

32 candidates to 54 candidates (-68.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	4	4
Picked	0	1	1
Done	1	1	2
Total	54	7	61

Merged error: 0.1b

Counts

61 → 7

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)))

rewrite15.0ms

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)))

series37.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (pow (sqrt 2.0) 2/3))
4.0ms	(* (cbrt (sqrt 2.0)) (* x (pow (sqrt 2.0) 2/3)))

simplify138.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (132.0ms)

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

prune97.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	59	8	67

Merged error: 0.1b

Counts

67 → 8

regimes215.0ms

Accuracy

99% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 31.8b

bsearch20.0ms

Steps

Iters	Range		Point
10	-2.172408106988292e-308	5.311962203992565e-298	6.5285658990945e-312

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

analyze3.0ms

Algorithm: search

sample264.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify4.0ms

prune8.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify104.0ms

prune32.0ms

localize4.0ms

rewrite5.0ms

series4.0ms

simplify56.0ms

prune40.0ms

localize7.0ms

rewrite17.0ms

series33.0ms

simplify129.0ms

prune103.0ms

localize12.0ms

rewrite15.0ms

series37.0ms

simplify138.0ms

prune97.0ms

regimes215.0ms

bsearch20.0ms

simplify2.0ms

end0.0ms

analyze3.0ms

sample264.0ms

Profiling