Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	242×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify387.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	505
7	505
6	504
5	497
4	431
3	212
2	66
1	20
0	8

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b	(+ (+ (+ x y) y) x)

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

3 → 53

Calls

3 calls:

42.0ms	(+ (+ x y) y)
2.0s	(+ (+ (+ (+ (+ x y) y) x) z) x)
138.0ms	(+ (+ (+ x y) y) x)

series122.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (+ x y) y)
35.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
60.0ms	(+ (+ (+ x y) y) x)

simplify1.1s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1092
1	245
0	88

prune232.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 3) (+ z (+ y y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`sum-log`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 14

Calls

1 calls:

54.0ms

(+ (* x 3) (+ z (+ y y)))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ (* x 3) (+ z (+ y y)))

simplify1.8s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
3	3078
2	524
1	129
0	42

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ (+ (+ x y) (+ x y)) z) x)

rewrite997.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 23

Calls

1 calls:

995.0ms

(+ (+ (+ (+ x y) (+ x y)) z) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(+ (+ (+ (+ x y) (+ x y)) z) x)

simplify2.1s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	3918
2	522
1	150
0	53

prune136.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ (+ (+ x y) (+ x y)) z) x))
0.0b	(+ (+ (+ (+ x y) (+ x y)) z) x)
0.0b	(+ (+ (+ (+ x y) (+ x y)) z) x)
0.3b	(* (sqrt (+ (+ (+ (+ x y) (+ x y)) z) x)) (sqrt (+ (+ (+ (+ x y) (+ x y)) z) x)))

rewrite6.9s

Algorithm

rewrite-expression-head

Rules

500×	`*-un-lft-identity`
361×	`distribute-lft-out`
135×	`sqrt-prod`
56×	`swap-sqr`
54×	`add-log-exp`
38×	`sum-log`
26×	`add-sqr-sqrt`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 184

Calls

4 calls:

953.0ms	(sqrt (+ (+ (+ (+ x y) (+ x y)) z) x))
940.0ms	(+ (+ (+ (+ x y) (+ x y)) z) x)
902.0ms	(+ (+ (+ (+ x y) (+ x y)) z) x)
4.1s	(* (sqrt (+ (+ (+ (+ x y) (+ x y)) z) x)) (sqrt (+ (+ (+ (+ x y) (+ x y)) z) x)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(sqrt (+ (+ (+ (+ x y) (+ x y)) z) x))
27.0ms	(+ (+ (+ (+ x y) (+ x y)) z) x)
33.0ms	(+ (+ (+ (+ x y) (+ x y)) z) x)
83.0ms	(* (sqrt (+ (+ (+ (+ x y) (+ x y)) z) x)) (sqrt (+ (+ (+ (+ x y) (+ x y)) z) x)))

simplify1.4s

Counts

196 → 196

Iterations

Iter	Nodes
done	5001
2	1711
1	344
0	140

prune531.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample891.0ms

Algorithm

intervals

Results

386.0ms	7451×	body	80	valid
37.0ms	116×	body	320	valid
32.0ms	175×	body	1280	valid
26.0ms	174×	body	640	valid
8.0ms	37×	body	2560	valid
4.0ms	58×	body	160	valid