Details

sample53.0ms

Algorithm

intervals

Results

35.0ms

381×

body

valid

simplify65.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
5	47
4	44
3	37
2	25
1	15
0	8

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* z z) 3) (* x y))
0.2b	(* (* z z) 3)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

158.0ms	(+ (* (* z z) 3) (* x y))
52.0ms	(* (* z z) 3)

series101.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* (* z z) 3) (* x y))
51.0ms	(* (* z z) 3)

simplify2.4s

Counts

62 → 62

Iterations

Iter	Nodes
done	5010
3	2391
2	736
1	242
0	80

prune201.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* z 3) z) (* y x))
0.2b	(* (* z 3) z)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

117.0ms	(+ (* (* z 3) z) (* y x))
44.0ms	(* (* z 3) z)

series73.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* (* z 3) z) (* y x))
32.0ms	(* (* z 3) z)

simplify2.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	2477
2	708
1	213
0	79

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* z (* (cbrt 3) (cbrt 3))) (* (cbrt 3) z)) (* y x))
0.1b	(* z (* (cbrt 3) (cbrt 3)))
0.2b	(* (* z (* (cbrt 3) (cbrt 3))) (* (cbrt 3) z))
0.3b	(* (cbrt 3) z)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

219×	`add-sqr-sqrt`
127×	`unswap-sqr`
88×	`associate-r`
83×	`associate-l`
80×	`cbrt-prod`
74×	`add-cbrt-cube`
68×	`cbrt-unprod`
44×	`*-un-lft-identity`
32×	`pow1` `add-exp-log` `add-cube-cbrt`
22×	`swap-sqr`
19×	`pow-prod-down` `prod-exp`
12×	`*-commutative`
6×	`distribute-lft-out` `add-log-exp`
4×	`insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 228

Calls

4 calls:

997.0ms	(+ (* (* z (* (cbrt 3) (cbrt 3))) (* (cbrt 3) z)) (* y x))
85.0ms	(* z (* (cbrt 3) (cbrt 3)))
284.0ms	(* (* z (* (cbrt 3) (cbrt 3))) (* (cbrt 3) z))
17.0ms	(* (cbrt 3) z)

series455.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (* (* z (* (cbrt 3) (cbrt 3))) (* (cbrt 3) z)) (* y x))
107.0ms	(* z (* (cbrt 3) (cbrt 3)))
131.0ms	(* (* z (* (cbrt 3) (cbrt 3))) (* (cbrt 3) z))
82.0ms	(* (cbrt 3) z)

simplify2.6s

Counts

240 → 240

Iterations

Iter	Nodes
done	5000
2	3009
1	821
0	236

prune968.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* z (* (* (cbrt (cbrt 3)) (cbrt 3)) (* (cbrt (cbrt 3)) (cbrt 3)))) (* (cbrt (cbrt 3)) z)) (* y x))
0.1b	(* z (* (* (cbrt (cbrt 3)) (cbrt 3)) (* (cbrt (cbrt 3)) (cbrt 3))))
0.1b	(* (cbrt (cbrt 3)) z)
0.3b	(* (* z (* (* (cbrt (cbrt 3)) (cbrt 3)) (* (cbrt (cbrt 3)) (cbrt 3)))) (* (cbrt (cbrt 3)) z))

rewrite10.1s

Algorithm

rewrite-expression-head

Rules

2570×	`add-sqr-sqrt`
1964×	`unswap-sqr`
1488×	`cbrt-prod`
501×	`cbrt-unprod`
426×	`add-cbrt-cube`
394×	`associate-r`
362×	`associate-l`
98×	`swap-sqr`
86×	`*-un-lft-identity`
80×	`pow1` `add-exp-log`
66×	`add-cube-cbrt`
58×	`pow-prod-down` `prod-exp`
21×	`*-commutative`
6×	`distribute-lft-out` `add-log-exp`
4×	`insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 862

Calls

4 calls:

7.3s	(+ (* (* z (* (* (cbrt (cbrt 3)) (cbrt 3)) (* (cbrt (cbrt 3)) (cbrt 3)))) (* (cbrt (cbrt 3)) z)) (* y x))
453.0ms	(* z (* (* (cbrt (cbrt 3)) (cbrt 3)) (* (cbrt (cbrt 3)) (cbrt 3))))
15.0ms	(* (cbrt (cbrt 3)) z)
2.2s	(* (* z (* (* (cbrt (cbrt 3)) (cbrt 3)) (* (cbrt (cbrt 3)) (cbrt 3)))) (* (cbrt (cbrt 3)) z))

series1.4s

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ (* (* z (* (* (cbrt (cbrt 3)) (cbrt 3)) (* (cbrt (cbrt 3)) (cbrt 3)))) (* (cbrt (cbrt 3)) z)) (* y x))
615.0ms	(* z (* (* (cbrt (cbrt 3)) (cbrt 3)) (* (cbrt (cbrt 3)) (cbrt 3))))
407.0ms	(* (cbrt (cbrt 3)) z)
162.0ms	(* (* z (* (* (cbrt (cbrt 3)) (cbrt 3)) (* (cbrt (cbrt 3)) (cbrt 3)))) (* (cbrt (cbrt 3)) z))

simplify3.3s

Counts

874 → 874

Iterations

Iter	Nodes
done	5002
1	4034
0	953

prune5.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes222.0ms

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	11
1	11
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

12173×

body

valid