Details

sample16.0ms

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:

29.6b

(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))

simplify98.0ms

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

prune33.0ms

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: 0.2b

Counts

16 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt 2.0) x)

rewrite6.0ms

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

prune43.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	22	8	30

Merged error: 0.1b

Counts

30 → 8

localize9.0ms

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)
11.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))

series32.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (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 (124.0ms)

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

prune113.0ms

Filtered

32 candidates to 54 candidates (-68.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	54	8	62

Merged error: 0.1b

Counts

62 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.3b

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

0.4b

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1` `add-exp-log`
40×	`pow-prod-down` `prod-exp` `cbrt-unprod`
29×	`add-cbrt-cube`
20×	`cbrt-prod`
16×	`add-sqr-sqrt`
14×	`associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r`
4×	`sqrt-prod` `unswap-sqr`
3×	`*-commutative` `add-log-exp`

Counts

3 → 92

Calls

3 calls:

8.0ms

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

22.0ms

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

13.0ms

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

series59.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms

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

4.0ms

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

28.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	315	1466
1	1525	912
2	5002	615

prune216.0ms

Filtered

46 candidates to 101 candidates (-119.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	101	8	109

Merged error: 0.1b

Counts

109 → 8

regimes214.0ms

Accuracy

98.9% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 30.6b

bsearch25.0ms

Steps

Iters	Range		Point
9	-9.025564344079499e-305	6.461034464506272e-306	-2.3941523392141e-311

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	23
1	32	23
2	41	23
3	49	23
4	49	23

end0.0ms

sample317.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results

186.0ms

8000×

body

valid

Details

sample16.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify98.0ms

prune33.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify56.0ms

prune43.0ms

localize9.0ms

rewrite17.0ms

series32.0ms

simplify129.0ms

prune113.0ms

localize11.0ms

rewrite48.0ms

series59.0ms

simplify57.0ms

prune216.0ms

regimes214.0ms

bsearch25.0ms

simplify2.0ms

end0.0ms

sample317.0ms

Profiling