Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	84×	body	80	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 22.8b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

21.2b

(sqrt (+ (* x x) y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

4.0ms

(sqrt (+ (* x x) y))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(sqrt (+ (* x x) y))

simplify142.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	116	95
1	334	90
2	997	89
3	3969	87
4	5002	87

prune41.0ms

Filtered

18 candidates to 15 candidates (83.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ x (* 1/2 (/ y x)))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ x (* 1/2 (/ y x)))

simplify109.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	76
1	297	69
2	1101	69
3	3891	69
4	5001	69

prune26.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	14	3	17

Merged error: 0b

Counts

17 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ x (* 1/2 (/ y x)))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ x (* 1/2 (/ y x)))

simplify109.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	76
1	297	69
2	1101	69
3	3891	69
4	5001	69

prune23.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	14	3	17

Merged error: 0b

Counts

17 → 3

regimes98.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.2b

bsearch46.0ms

Steps

Iters	Range		Point
7	7.443759268190367e+89	1.5340021636682078e+92	7.312923605803941e+91
9	-1.2994787762702041e+157	-1.865346764731705e+152	-1.3380532120724433e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	29	10
2	31	10
3	31	10

end0.0ms

sample359.0ms

Algorithm

intervals

Results

146.0ms	8000×	body	80	valid
46.0ms	2700×	body	80	nan