Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
1.0ms	90×	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

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize4.0ms

Local error

Found 1 expressions with local error:

20.0b

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

rewrite5.0ms

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:

5.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify144.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

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

prune45.0ms

Filtered

18 candidates to 15 candidates (83.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))
0.2b	(* 1/2 (/ y x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

2.0ms	(+ x (* 1/2 (/ y x)))
8.0ms	(* 1/2 (/ y x))

series42.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (* 1/2 (/ y x)))
18.0ms	(* 1/2 (/ y x))

simplify104.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	223	199
1	960	187
2	4238	187
3	5001	187

prune79.0ms

Filtered

49 candidates to 34 candidates (69.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))
0.2b	(* 1/2 (/ y x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

2.0ms	(+ x (* 1/2 (/ y x)))
8.0ms	(* 1/2 (/ y x))

series39.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (* 1/2 (/ y x)))
17.0ms	(* 1/2 (/ y x))

simplify107.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	223	199
1	960	187
2	4238	187
3	5001	187

prune72.0ms

Filtered

49 candidates to 34 candidates (69.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.1b

bsearch51.0ms

Steps

Iters	Range		Point
9	3.484405948710407e+96	1.1133938054187134e+105	8.439081781731016e+104
9	-1.652330989326774e+161	-1.121438893532195e+154	-1.3694640831062883e+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

sample346.0ms

Algorithm

intervals

Results

148.0ms	8000×	body	80	valid
41.0ms	2562×	body	80	nan