Details

sample33.0ms

Algorithm

intervals

Results

15.0ms	298×	body	80	valid
3.0ms	11×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify135.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	164
5	164
4	139
3	74
2	31
1	14
0	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

15.0ms	(* 3.0 (- 2.0 (* x 3.0)))
28.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series231.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* 3.0 (- 2.0 (* x 3.0)))
163.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify2.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5005
3	3748
2	704
1	212
0	82

prune168.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

9.0ms	(- 6.0 (* 9.0 x))
21.0ms	(* (- 6.0 (* 9.0 x)) x)

series163.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- 6.0 (* 9.0 x))
119.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify2.4s

Counts

40 → 40

Iterations

Iter	Nodes
done	5006
3	1976
2	426
1	142
0	59

prune162.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

29.0ms	(* (- 2.0 (* x 3.0)) x)
55.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series223.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(* (- 2.0 (* x 3.0)) x)
118.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
3	3998
2	662
1	190
0	76

prune204.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
0.1b	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
0.1b	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log`
22×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
8×	`associate-l`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`sub-neg`
4×	`cbrt-prod`
3×	`flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp`
2×	`associate-*l/` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

50.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
219.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
18.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

series637.0ms

Counts

3 → 9

Calls

3 calls:

217.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
266.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
153.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1518
1	387
0	129

prune229.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample680.0ms

Algorithm

intervals

Results

427.0ms	9890×	body	80	valid
54.0ms	272×	body	640	valid
53.0ms	332×	body	1280	valid
12.0ms	134×	body	320	valid
4.0ms	71×	body	160	valid