Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
2.0ms	104×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
21.6b	(sqrt (+ (* x x) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `fma-def` `sqrt-pow1` `pow1/2` `sum-log` `hypot-def`

Counts

2 → 32

Calls

2 calls:

8.0ms	(+ (* x x) y)
10.0ms	(sqrt (+ (* x x) y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* x x) y)
47.0ms	(sqrt (+ (* x x) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	153	160
1	518	146
2	1716	138
3	5002	136

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 50

Calls

2 calls:

7.0ms	(+ x (* 1/2 (/ y x)))
14.0ms	(* 1/2 (/ y x))

series48.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (* 1/2 (/ y x)))
19.0ms	(* 1/2 (/ y x))

simplify108.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	230	213
1	988	194
2	4421	194
3	5001	194

prune100.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (/ y x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/2 (/ y x) x)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(fma 1/2 (/ y x) x)

simplify78.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	44
1	48	39
2	156	39
3	585	39
4	2784	39
5	5001	39

prune23.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes120.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.0b

bsearch34.0ms

Steps

Iters	Range		Point
4	1.962517469472653e+123	2.664420413127494e+123	2.0273741577231143e+123
9	-5.024868303916657e+156	-8.256430912802205e+150	-1.3199717282643271e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	30	9
2	32	9
3	32	9

end0.0ms

sample421.0ms

Algorithm

intervals

Results

148.0ms	8000×	body	80	valid
45.0ms	2643×	body	80	nan