Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

257×

body

valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 28.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

27.0b

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

rewrite5.0ms

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))

simplify82.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4763	80
1	4763	80

prune44.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	8	7	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	9	7	16

Merged error: 0.1b

Counts

16 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

27.0b

(pow (* (* 2.0 x) x) 1/2)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `pow-exp` `prod-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`pow-to-exp` `unpow-prod-down` `add-cbrt-cube` `unpow1/2` `add-log-exp` `sqr-pow`

Counts

1 → 20

Calls

1 calls:

6.0ms

(pow (* (* 2.0 x) x) 1/2)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(pow (* (* 2.0 x) x) 1/2)

simplify38.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4912	119
1	4912	119

prune43.0ms

Filtered

12 candidates to 23 candidates (-91.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	22	8	30

Merged error: 0.1b

Counts

30 → 8

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)))))
27.0b	(sqrt (* 2.0 (* x x)))
27.0b	(sqrt (* 2.0 (* x x)))

rewrite43.0ms

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:

6.0ms	(sqrt (sqrt (* 2.0 (* x x))))
18.0ms	(* (sqrt (sqrt (* 2.0 (* x x)))) (sqrt (sqrt (* 2.0 (* x x)))))
7.0ms	(sqrt (* 2.0 (* x x)))
5.0ms	(sqrt (* 2.0 (* x x)))

series19.0ms

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)))))
5.0ms	(sqrt (* 2.0 (* x x)))
4.0ms	(sqrt (* 2.0 (* x x)))

simplify28.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5107	773

prune189.0ms

Filtered

66 candidates to 142 candidates (-115.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	142	8	150

Merged error: 0.0b

Counts

150 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fabs (* x (sqrt 2.0))))
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x))))
0.4b	(* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x)))
0.4b	(* x (sqrt 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`sqrt-prod`
19×	`pow1`
18×	`associate-l`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
11×	`pow-prod-down`
6×	`sqrt-pow1` `pow1/2` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqrt-unprod` `*-commutative`
1×	`rem-sqrt-square`

Counts

4 → 92

Calls

4 calls:

2.0ms	(sqrt (fabs (* x (sqrt 2.0))))
11.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x))))
7.0ms	(* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x)))
6.0ms	(* x (sqrt 2.0))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (fabs (* x (sqrt 2.0))))
13.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x))))
10.0ms	(* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x)))
5.0ms	(* x (sqrt 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4947	1063
1	4947	1063

prune187.0ms

Filtered

61 candidates to 104 candidates (-70.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

regimes120.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	14
1	14	14

end0.0ms

sample348.0ms

Algorithm

intervals

Results

207.0ms

8006×

body

valid

Details

sample14.0ms

simplify2.0ms

prune8.0ms

localize4.0ms

rewrite5.0ms

series4.0ms

simplify82.0ms

prune44.0ms

localize7.0ms

rewrite6.0ms

series29.0ms

simplify38.0ms

prune43.0ms

localize7.0ms

rewrite43.0ms

series19.0ms

simplify28.0ms

prune189.0ms

localize11.0ms

rewrite28.0ms

series31.0ms

simplify46.0ms

prune187.0ms

regimes120.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample348.0ms

Profiling