Details

sample72.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
18.0ms	251×	body	80	nan

simplify48.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize20.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite135.0ms

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:

14.0ms	(+ (* x y) (* x z))
46.0ms	(+ (+ (* x y) (* x z)) (* y z))
72.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* x y) (* x z))
38.0ms	(+ (+ (* x y) (* x z)) (* y z))
168.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.8s

Counts: 49 → 49

prune184.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.0b	(+ (* x (+ y z)) (* y z))
18.4b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite59.0ms

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))
14.0ms	(+ (* x (+ y z)) (* y z))
17.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* x (+ y z))
26.0ms	(+ (* x (+ y z)) (* y z))
155.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify556.0ms

Counts: 60 → 60

prune215.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.4b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite514.0ms

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:

34.0ms	(+ (+ (* x y) (* x z)) (* y z))
35.0ms	(+ (+ (* x y) (* x z)) (* y z))
381.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
60.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
133.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
164.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.6s

Counts: 68 → 68

prune327.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
1.0b	(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z))
18.4b	(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z)))

rewrite693.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

4.0ms	(cbrt (+ y z))
4.0ms	(cbrt (+ y z))
204.0ms	(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z))
478.0ms	(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (+ y z))
194.0ms	(cbrt (+ y z))
89.0ms	(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z))
189.0ms	(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z)))

simplify1.9s

Counts: 66 → 66

prune329.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 19.2b

regimes324.0ms

Accuracy

0% (0.2b remaining)

Error of 20.3b against oracle of 20.1b and baseline of 20.3b

bsearch0.0ms

simplify57.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

613.0ms	8000×	body	80	valid
593.0ms	7911×	body	80	nan