Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
10.0ms	246×	body	80	nan

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	43
4	43
3	42
2	33
1	21
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y z) x)
0.6b	(+ (* z y) (* (+ y z) x))
17.7b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite54.0ms

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-+`
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 → 47

Calls

3 calls:

26.0ms	(* (+ y z) x)
8.0ms	(+ (* z y) (* (+ y z) x))
19.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (+ y z) x)
40.0ms	(+ (* z y) (* (+ y z) x))
190.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify568.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
2	1030
1	254
0	97

prune348.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 18.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* z (+ y x)) (* x y))
0.5b	(* (sqrt (sqrt (+ (* z (+ y x)) (* x y)))) (sqrt (sqrt (+ (* z (+ y x)) (* x y)))))
17.7b	(sqrt (+ (* z (+ y x)) (* x y)))
17.7b	(sqrt (+ (* z (+ y x)) (* x y)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
50×	`add-sqr-sqrt`
34×	`sqrt-pow1`
29×	`pow1`
28×	`sqrt-div`
18×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times`
2×	`rem-sqrt-square` `associate-+l+` `associate-l/` `associate-r/`
1×	`pow2` `distribute-rgt-in` `+-commutative` `sum-log` `rem-square-sqrt` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

16.0ms	(+ (* z (+ y x)) (* x y))
112.0ms	(* (sqrt (sqrt (+ (* z (+ y x)) (* x y)))) (sqrt (sqrt (+ (* z (+ y x)) (* x y)))))
23.0ms	(sqrt (+ (* z (+ y x)) (* x y)))
23.0ms	(sqrt (+ (* z (+ y x)) (* x y)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* z (+ y x)) (* x y))
164.0ms	(* (sqrt (sqrt (+ (* z (+ y x)) (* x y)))) (sqrt (sqrt (+ (* z (+ y x)) (* x y)))))
155.0ms	(sqrt (+ (* z (+ y x)) (* x y)))
156.0ms	(sqrt (+ (* z (+ y x)) (* x y)))

simplify1.5s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	1674
1	328
0	139

prune654.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 18.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* z (+ y x)) (* x y))
17.7b	(sqrt (+ (* x y) (* (+ y x) z)))
18.2b	(cbrt (+ (* z (+ y x)) (* x y)))
18.2b	(cbrt (+ (* x y) (* (+ y x) z)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

20.0ms	(+ (* z (+ y x)) (* x y))
13.0ms	(sqrt (+ (* x y) (* (+ y x) z)))
14.0ms	(cbrt (+ (* z (+ y x)) (* x y)))
8.0ms	(cbrt (+ (* x y) (* (+ y x) z)))

series780.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* z (+ y x)) (* x y))
144.0ms	(sqrt (+ (* x y) (* (+ y x) z)))
278.0ms	(cbrt (+ (* z (+ y x)) (* x y)))
318.0ms	(cbrt (+ (* x y) (* (+ y x) z)))

simplify602.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1126
1	348
0	138

prune719.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 18.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ y z))
0.5b	(* (cbrt (+ y z)) (cbrt (+ y z)))
0.6b	(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ z y)) x)))
17.7b	(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ z y)) x))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`cbrt-prod`
23×	`add-sqr-sqrt`
14×	`cbrt-div` `add-cube-cbrt`
12×	`pow1`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`pow1/3` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log` `add-log-exp`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`sqrt-prod`
2×	`sqrt-div` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow-plus` `pow1/2` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

3.0ms	(cbrt (+ y z))
49.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
9.0ms	(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ z y)) x)))
6.0ms	(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ z y)) x))))

series689.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (+ y z))
227.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
85.0ms	(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ z y)) x)))
208.0ms	(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ z y)) x))))

simplify998.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	1942
1	451
0	179

prune598.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 18.3b

regimes256.0ms

Accuracy

0% (0.4b remaining)

Error of 20.3b against oracle of 19.9b and baseline of 20.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
544.0ms	7937×	body	80	nan