Details

sample64.0ms

Algorithm

intervals

Results

17.0ms	250×	body	80	nan
15.0ms	256×	body	80	valid

simplify4.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
21.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite118.0ms

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:

12.0ms	(+ (* x y) (* x z))
44.0ms	(+ (+ (* x y) (* x z)) (* y z))
60.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* x y) (* x z))
38.0ms	(+ (+ (* x y) (* x z)) (* y z))
164.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify138.0ms

Counts: 49 → 49

prune160.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 22.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.2b	(+ (* x (+ y z)) (* y z))
21.0b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite78.0ms

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:

26.0ms	(* x (+ y z))
17.0ms	(+ (* x (+ y z)) (* y z))
27.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* x (+ y z))
37.0ms	(+ (* x (+ y z)) (* y z))
142.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify118.0ms

Counts: 60 → 60

prune203.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 22.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
1.2b	(+ (* x y) (* z (+ x y)))
21.0b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite75.0ms

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:

42.0ms	(* z (+ x y))
19.0ms	(+ (* x y) (* z (+ x y)))
11.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series213.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* z (+ x y))
29.0ms	(+ (* x y) (* z (+ x y)))
133.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify173.0ms

Counts: 60 → 60

prune245.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 22.1b

localize20.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* x (+ y z)) (* y z))
1.2b	(+ (* x (+ y z)) (* y z))
21.0b	(sqrt (+ (* x (+ y z)) (* y z)))
21.0b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite70.0ms

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:

22.0ms	(+ (* x (+ y z)) (* y z))
14.0ms	(+ (* x (+ y z)) (* y z))
16.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
16.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x (+ y z)) (* y z))
27.0ms	(+ (* x (+ y z)) (* y z))
120.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
145.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify100.0ms

Counts: 68 → 68

prune289.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 22.1b

regimes92.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

741.0ms	8074×	body	80	nan
559.0ms	8000×	body	80	valid