Details

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.07323%

Guaranteed chance to sample good point: 99.993895%

sample10.0ms

Algorithm

intervals

Results

5.0ms

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))

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

prune34.0ms

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* (* 2.0 x) x)))
0.5b	(* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
29.6b	(sqrt (* (* 2.0 x) x))
29.6b	(sqrt (* (* 2.0 x) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

158×	`pow1`
154×	`sqrt-pow1`
82×	`pow-prod-down`
33×	`sqrt-prod`
26×	`add-sqr-sqrt`
24×	`pow1/2`
21×	`pow-prod-up`
13×	`add-cube-cbrt` `*-un-lft-identity` `pow-sqr`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 130

Calls

4 calls:

4.0ms	(sqrt (sqrt (* (* 2.0 x) x)))
14.0ms	(* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
3.0ms	(sqrt (* (* 2.0 x) x))
3.0ms	(sqrt (* (* 2.0 x) x))

series17.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	213	559
1	889	517
2	5001	478

prune132.0ms

Filtered

61 candidates to 142 candidates (-132.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	142	5	147

Merged error: 0.2b

Counts

147 → 5

localize4.0ms

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)

simplify59.0ms

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

prune37.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

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

Merged error: 0.1b

Counts

30 → 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))

rewrite16.0ms

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:

28.0ms	(* (cbrt (sqrt 2.0)) x)
4.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))

simplify138.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (134.0ms)

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

prune89.0ms

Filtered

32 candidates to 54 candidates (-68.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	3	3
Picked	0	1	1
Done	1	2	3
Total	53	8	61

Merged error: 0.1b

Counts

61 → 8

regimes208.0ms

Accuracy

98.9% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 30.8b

bsearch23.0ms

Steps

Iters	Range		Point
10	-1.3159554548544052e-298	8.585997903618725e-307	3.8001327352417e-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

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.07323%

Guaranteed chance to sample good point: 99.993895%

sample260.0ms

Algorithm

intervals

Results

178.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify104.0ms

prune34.0ms

localize7.0ms

rewrite34.0ms

series17.0ms

simplify42.0ms

prune132.0ms

localize4.0ms

rewrite5.0ms

series4.0ms

simplify59.0ms

prune37.0ms

localize7.0ms

rewrite16.0ms

series33.0ms

simplify138.0ms

prune89.0ms

regimes208.0ms

bsearch23.0ms

simplify2.0ms

end0.0ms

analyze3.0ms

sample260.0ms

Profiling