Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
10.0ms	256×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
17.0b	(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:

9.0ms	(+ (* x y) (* x z))
28.0ms	(+ (+ (* x y) (* x z)) (* y z))
32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (* x y) (* x z))
19.0ms	(+ (+ (* x y) (* x z)) (* y z))
97.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify115.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (29.0ms)

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

prune236.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 17.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
1.2b	(+ (* x y) (* z (+ x y)))
17.0b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite36.0ms

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:

18.0ms	(* z (+ x y))
8.0ms	(+ (* x y) (* z (+ x y)))
8.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series142.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* z (+ x y))
19.0ms	(+ (* x y) (* z (+ x y)))
96.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

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

prune253.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 17.9b

localize9.0ms

Local error

Found 2 expressions with local error:

1.2b	(+ (* y (+ z x)) (* x z))
17.0b	(sqrt (+ (* y (+ z x)) (* x z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

12.0ms	(+ (* y (+ z x)) (* x z))
19.0ms	(sqrt (+ (* y (+ z x)) (* x z)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (* y (+ z x)) (* x z))
96.0ms	(sqrt (+ (* y (+ z x)) (* x z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	181	248
1	663	228
2	3135	224
3	5001	224

prune177.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 17.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
1.2b	(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y))))
17.0b	(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)
15.0ms	(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y))))
8.0ms	(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y)))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt z)
173.0ms	(cbrt z)
52.0ms	(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y))))
128.0ms	(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (+ x y)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	248	544
1	894	482
2	5002	463

prune401.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 17.9b

regimes184.0ms

Accuracy

0% (0.1b remaining)

Error of 20.3b against oracle of 20.2b and baseline of 20.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample970.0ms

Algorithm

intervals

Results

321.0ms	8000×	body	80	valid
310.0ms	7870×	body	80	nan