Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	348×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify458.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	79	13
3	211	13
4	453	13
5	635	13
6	645	13
done	645	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)

rewrite917.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

223.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
60.0ms	(+ (+ (+ y z) z) y)
619.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
13.0ms	(+ (+ y z) z)

series170.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
33.0ms	(+ (+ (+ y z) z) y)
46.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
26.0ms	(+ (+ y z) z)

simplify533.0ms

Counts

83 → 83

Iterations

Useful iterations: done (531.0ms)

Iter	Nodes	Cost
0	130	1085
1	373	1004
2	1334	816
done	5001	796

prune203.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ y (+ z z)) y) t))
0.0b	(+ (+ y (+ z z)) y)

rewrite898.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`distribute-lft-out`
14×	`add-log-exp`
7×	`add-sqr-sqrt` `associate-r` `sum-log`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-+l+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

219.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
619.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
58.0ms	(+ (+ y (+ z z)) y)

series141.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
45.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
34.0ms	(+ (+ y (+ z z)) y)

simplify540.0ms

Counts

65 → 65

Iterations

Useful iterations: done (538.0ms)

Iter	Nodes	Cost
0	113	942
1	318	876
2	1171	804
done	5001	676

prune161.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (+ y (+ z z)) y) x)
0.0b	(+ (* x t) (* y 5.0))
0.0b	(+ (+ y (+ z z)) y)
0.0b	(+ (* (+ (+ y (+ z z)) y) x) (+ (* x t) (* y 5.0)))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`add-log-exp`
12×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt` `flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `associate-*l/` `add-cbrt-cube`
4×	`frac-add`
3×	`+-commutative` `associate-r`
1×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

164.0ms	(* (+ (+ y (+ z z)) y) x)
3.0ms	(+ (* x t) (* y 5.0))
58.0ms	(+ (+ y (+ z z)) y)
59.0ms	(+ (* (+ (+ y (+ z z)) y) x) (+ (* x t) (* y 5.0)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ (+ y (+ z z)) y) x)
33.0ms	(+ (* x t) (* y 5.0))
33.0ms	(+ (+ y (+ z z)) y)
59.0ms	(+ (* (+ (+ y (+ z z)) y) x) (+ (* x t) (* y 5.0)))

simplify582.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (123.0ms)

Iter	Nodes	Cost
0	135	1450
1	403	1353
2	1645	1251
done	5000	1251

prune204.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

8.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series780.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt x) (cbrt x))
196.0ms	(cbrt x)
188.0ms	(cbrt x)
184.0ms	(cbrt x)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: 3 (333.0ms)

Iter	Nodes	Cost
0	61	524
1	115	417
2	381	397
3	1865	379
done	5000	379

prune252.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	18	15
done	18	15

end0.0ms

sample655.0ms

Algorithm

intervals

Results

345.0ms	10696×	body	80	valid
13.0ms	88×	body	1280	valid
10.0ms	86×	body	640	valid
8.0ms	58×	body	320	valid
2.0ms	32×	body	160	valid