Details

sample31.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
7.0ms	245×	body	80	nan

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
15.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite69.0ms

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:

8.0ms	(+ (* x y) (* x z))
28.0ms	(+ (+ (* x y) (* x z)) (* y z))
33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (* x y) (* x z))
25.0ms	(+ (+ (* x y) (* x z)) (* y z))
97.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify118.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (32.0ms)

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

prune121.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 16.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.0b	(+ (* x (+ y z)) (* y z))
15.7b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite50.0ms

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-+l+` `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:

18.0ms	(* x (+ y z))
12.0ms	(+ (* x (+ y z)) (* y z))
17.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* x (+ y z))
24.0ms	(+ (* x (+ y z)) (* y z))
94.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	274	330
1	1112	305
2	5001	300

prune136.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 16.5b

localize11.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* x (+ y z)) (* y z))
1.0b	(+ (* x (+ y z)) (* y z))
15.7b	(sqrt (+ (* x (+ y z)) (* y z)))
15.7b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

14.0ms	(+ (* x (+ y z)) (* y z))
12.0ms	(+ (* x (+ y z)) (* y z))
15.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
15.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* x (+ y z)) (* y z))
19.0ms	(+ (* x (+ y z)) (* y z))
99.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
99.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	184	496
1	617	456
2	2649	448
3	5001	448

prune221.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 16.5b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
16.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
16.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `associate-+l+` `pow1/3`

Counts

4 → 52

Calls

4 calls:

30.0ms	(+ (+ (* x y) (* x z)) (* y z))
28.0ms	(+ (+ (* x y) (* x z)) (* y z))
16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (+ (* x y) (* x z)) (* y z))
19.0ms	(+ (+ (* x y) (* x z)) (* y z))
186.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
388.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	197	594
1	625	540
2	2618	516
3	5001	514

prune209.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 16.5b

regimes87.0ms

Accuracy

0% (0.0b remaining)

Error of 19.9b against oracle of 19.9b and baseline of 19.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample890.0ms

Algorithm

intervals

Results

237.0ms	8000×	body	80	valid
223.0ms	7773×	body	80	nan