Details

sample62.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
19.0ms	273×	body	80	nan

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	42
4	42
3	41
2	32
1	21
0	11

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
18.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `sum-log` `*-un-lft-identity` `add-cube-cbrt`
3×	`flip3-+` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `flip-+` `insert-posit16`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 43

Calls

3 calls:

10.0ms	(+ (* x y) (* x z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* x y) (* x z))
25.0ms	(+ (+ (* x y) (* x z)) (* y z))
138.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.7s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
3	4070
2	947
1	256
0	88

prune319.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.5b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y z) x)
1.6b	(+ (* (+ y z) x) (* y z))
18.5b	(sqrt (+ (* (+ y z) x) (* y z)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-l`
3×	`flip3-+` `associate-r` `sqrt-prod` `flip-+` `insert-posit16`
2×	`sqrt-div` `associate-*l/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

27.0ms	(* (+ y z) x)
21.0ms	(+ (* (+ y z) x) (* y z))
22.0ms	(sqrt (+ (* (+ y z) x) (* y z)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (+ y z) x)
38.0ms	(+ (* (+ y z) x) (* y z))
149.0ms	(sqrt (+ (* (+ y z) x) (* y z)))

simplify2.2s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
3	3307
2	811
1	258
0	102

prune321.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
1.6b	(+ (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)) (* y z))
18.5b	(sqrt (+ (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)) (* y z)))

rewrite182.0ms

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×	`cbrt-div` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16`
3×	`sqrt-prod`
2×	`pow1/3` `sqrt-div` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt (+ y z))
2.0ms	(cbrt (+ y z))
60.0ms	(+ (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)) (* y z))
115.0ms	(sqrt (+ (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)) (* y z)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (+ y z))
154.0ms	(cbrt (+ y z))
64.0ms	(+ (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)) (* y z))
168.0ms	(sqrt (+ (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)) (* y z)))

simplify2.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	3962
2	970
1	297
0	119

prune555.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 18.3b

localize26.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* (+ y z) x) (* y z))
1.6b	(+ (* (+ y z) x) (* y z))
18.5b	(sqrt (+ (* (+ y z) x) (* y z)))
18.5b	(sqrt (+ (* (+ y z) x) (* y z)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
2×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

22.0ms	(+ (* (+ y z) x) (* y z))
23.0ms	(+ (* (+ y z) x) (* y z))
19.0ms	(sqrt (+ (* (+ y z) x) (* y z)))
17.0ms	(sqrt (+ (* (+ y z) x) (* y z)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* (+ y z) x) (* y z))
40.0ms	(+ (* (+ y z) x) (* y z))
171.0ms	(sqrt (+ (* (+ y z) x) (* y z)))
151.0ms	(sqrt (+ (* (+ y z) x) (* y z)))

simplify1.8s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	3206
2	681
1	182
0	67

prune457.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 18.3b

regimes311.0ms

Accuracy

0% (0.2b remaining)

Error of 18.7b against oracle of 18.5b and baseline of 18.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
920.0ms	7768×	body	80	nan