Details

sample36.0ms

Algorithm

intervals

Results

21.0ms	321×	body	80	valid
2.0ms	6×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
4	47
3	42
2	28
1	18
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

255.0ms	(* x (+ y z))
11.0ms	(+ (* x (+ y z)) (* z 5.0))

series60.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ y z))
32.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify979.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	5001
2	1063
1	228
0	74

prune162.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

13.0ms	(* (+ 5.0 x) z)
8.0ms	(+ (* x y) (* (+ 5.0 x) z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (+ 5.0 x) z)
31.0ms	(+ (* x y) (* (+ 5.0 x) z))

simplify702.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
2	851
1	196
0	69

prune151.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (+ 5.0 x)) (cbrt (+ 5.0 x)))
0.8b	(cbrt (+ 5.0 x))
0.8b	(cbrt (+ 5.0 x))
0.8b	(cbrt (+ 5.0 x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

25.0ms	(* (cbrt (+ 5.0 x)) (cbrt (+ 5.0 x)))
2.0ms	(cbrt (+ 5.0 x))
3.0ms	(cbrt (+ 5.0 x))
3.0ms	(cbrt (+ 5.0 x))

series467.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (+ 5.0 x)) (cbrt (+ 5.0 x)))
126.0ms	(cbrt (+ 5.0 x))
102.0ms	(cbrt (+ 5.0 x))
92.0ms	(cbrt (+ 5.0 x))

simplify1.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1304
1	356
0	152

prune627.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ 5.0 x))
0.8b	(cbrt (+ 5.0 x))
0.8b	(cbrt (+ 5.0 x))
0.8b	(cbrt (+ 5.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt (+ 5.0 x))
2.0ms	(cbrt (+ 5.0 x))
2.0ms	(cbrt (+ 5.0 x))
3.0ms	(cbrt (+ 5.0 x))

series448.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (+ 5.0 x))
102.0ms	(cbrt (+ 5.0 x))
109.0ms	(cbrt (+ 5.0 x))
113.0ms	(cbrt (+ 5.0 x))

simplify1.4s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	2047
2	533
1	178
0	79

prune361.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes236.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

678.0ms	9897×	body	80	valid
107.0ms	123×	body	1280	valid
22.0ms	97×	body	640	valid
13.0ms	78×	body	320	valid
3.0ms	26×	body	160	valid