Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	239×	body	80	nan

simplify8.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (* x y) (* x z))
2.0b	(+ (+ (* x y) (* x z)) (* y z))
19.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite15.0ms

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:

4.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* x z))
25.0ms	(+ (+ (* x y) (* x z)) (* y z))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify117.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	249	356
1	908	323
2	3660	315
3	5001	315

prune133.0ms

Filtered

49 candidates to 38 candidates (77.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
1.4b	(+ (* x y) (* z (+ x y)))
19.6b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite14.0ms

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:

6.0ms	(* z (+ x y))
4.0ms	(+ (* x y) (* z (+ x y)))
3.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series152.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* z (+ x y))
20.0ms	(+ (* x y) (* z (+ x y)))
104.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

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

prune143.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.6b

localize11.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x y) (* z (+ x y)))
1.4b	(+ (* x y) (* z (+ x y)))
19.6b	(sqrt (+ (* x y) (* z (+ x y))))
19.6b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite16.0ms

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-+r+` `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:

4.0ms	(+ (* x y) (* z (+ x y)))
4.0ms	(+ (* x y) (* z (+ x y)))
3.0ms	(sqrt (+ (* x y) (* z (+ x y))))
3.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x y) (* z (+ x y)))
25.0ms	(+ (* x y) (* z (+ x y)))
107.0ms	(sqrt (+ (* x y) (* z (+ x y))))
105.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify94.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	184	494
1	668	454
2	3235	448
3	5002	448

prune231.0ms

Filtered

68 candidates to 56 candidates (82.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 20.6b

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x y) (* z (+ x y)))
19.6b	(sqrt (+ (* x y) (* z (+ x y))))
20.2b	(cbrt (+ (* x y) (* z (+ x y))))
20.2b	(cbrt (+ (* x y) (* z (+ x y))))

rewrite15.0ms

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` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`sqrt-prod`
2×	`associate-+r+` `pow1/3` `sqrt-div`
1×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 54

Calls

4 calls:

4.0ms	(+ (* x y) (* z (+ x y)))
3.0ms	(sqrt (+ (* x y) (* z (+ x y))))
3.0ms	(cbrt (+ (* x y) (* z (+ x y))))
3.0ms	(cbrt (+ (* x y) (* z (+ x y))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x y) (* z (+ x y)))
108.0ms	(sqrt (+ (* x y) (* z (+ x y))))
199.0ms	(cbrt (+ (* x y) (* z (+ x y))))
204.0ms	(cbrt (+ (* x y) (* z (+ x y))))

simplify107.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	256	551
1	814	509
2	3604	490
3	5002	487

prune291.0ms

Filtered

66 candidates to 59 candidates (89.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 20.6b

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.5b 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

sample881.0ms

Algorithm

intervals

Results

269.0ms	8000×	body	80	valid
256.0ms	8137×	body	80	nan