Details

sample50.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
11.0ms	237×	body	80	nan

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize20.0ms

Local error

Found 3 expressions with local error:

1.2b	(+ (* x y) (* x z))
2.8b	(+ (+ (* x y) (* x z)) (* y z))
19.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

10.0ms	(+ (* x y) (* x z))
29.0ms	(+ (+ (* x y) (* x z)) (* y z))
29.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* x z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify125.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	249	355
1	908	322
2	3660	314
3	5001	314

prune140.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
2.8b	(+ (* x y) (* z (+ x y)))
19.7b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`flip3-+` `associate-l` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

22.0ms	(* z (+ x y))
9.0ms	(+ (* x y) (* z (+ x y)))
8.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series159.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* z (+ x y))
23.0ms	(+ (* x y) (* z (+ x y)))
109.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	273	328
1	1133	303
2	5001	299

prune142.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 20.8b

localize12.0ms

Local error

Found 4 expressions with local error:

2.8b	(+ (+ (* x y) (* x z)) (* y z))
2.8b	(+ (+ (* x y) (* x z)) (* y z))
19.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

30.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(+ (+ (* x y) (* x z)) (* y z))
30.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
121.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify88.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	186	576
1	666	520
2	2872	508
3	5001	508

prune229.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
2.8b	(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y))))
19.7b	(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `add-cbrt-cube`
3×	`sqrt-prod`
2×	`flip3-+` `pow1/3` `sqrt-div` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
14.0ms	(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y))))
8.0ms	(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y)))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt z)
173.0ms	(cbrt z)
55.0ms	(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y))))
143.0ms	(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y)))))

simplify34.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	248	543
1	894	481
2	5002	462

prune193.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 20.8b

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.6b and baseline of 19.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample894.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
232.0ms	7971×	body	80	nan