Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

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: 33.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

31.9b

(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))

simplify102.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

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

prune33.0ms

Filtered

15 candidates to 11 candidates (26.7%)

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: 0.2b

Counts

16 → 5

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:

5.0ms

(* (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 (4.0ms)

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

prune39.0ms

Filtered

25 candidates to 15 candidates (40.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	23	7	30

Merged error: 0.0b

Counts

30 → 7

localize6.0ms

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 (5.0ms)

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

prune86.0ms

Filtered

56 candidates to 33 candidates (41.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-prod`
33×	`associate-l`
21×	`add-sqr-sqrt`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
3×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

6.0ms	(* (sqrt (sqrt 2.0)) x)
15.0ms	(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)))
10.0ms	(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x))

series47.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (sqrt (sqrt 2.0)) x)
6.0ms	(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)))
35.0ms	(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x))

simplify101.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	221	719
1	902	559
2	4102	521
3	5001	518

prune172.0ms

Filtered

92 candidates to 55 candidates (40.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

regimes145.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.0b

bsearch12.0ms

Steps

Iters	Range		Point
7	-2.831456880229611e-307	5.056743218850617e-308	1.74804693269183e-310

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	20
1	33	20
2	39	20
3	44	20
4	44	20

end0.0ms

sample312.0ms

Algorithm

intervals

Results

183.0ms

8002×

body

valid

Details

sample13.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify102.0ms

prune33.0ms

localize4.0ms

rewrite5.0ms

series4.0ms

simplify58.0ms

prune39.0ms

localize6.0ms

rewrite16.0ms

series10.0ms

simplify67.0ms

prune86.0ms

localize8.0ms

rewrite33.0ms

series47.0ms

simplify101.0ms

prune172.0ms

regimes145.0ms

bsearch12.0ms

simplify3.0ms

end0.0ms

sample312.0ms

Profiling