Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

331×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	7
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

41.0ms

(* (* x 3.0) x)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (* x 3.0) x)

simplify3.8s

Counts

21 → 21

Iterations

Iter	Nodes
done	5001
3	1261
2	331
1	98
0	37

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
16.6b	(sqrt (* (* x 3.0) x))
16.6b	(sqrt (* (* x 3.0) x))

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

50.0ms	(* (* x 3.0) x)
271.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
28.0ms	(sqrt (* (* x 3.0) x))
26.0ms	(sqrt (* (* x 3.0) x))

series327.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* x 3.0) x)
142.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
66.0ms	(sqrt (* (* x 3.0) x))
66.0ms	(sqrt (* (* x 3.0) x))

simplify5.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5005
3	1934
2	601
1	209
0	82

prune484.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x)))
16.6b	(sqrt (* (* x 3.0) x))
16.6b	(sqrt (* (* x 3.0) x))
16.6b	(sqrt (* (* x 3.0) x))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

85×	`pow1`
57×	`sqrt-pow1`
41×	`pow-prod-down`
18×	`pow-prod-up`
15×	`pow1/2`
12×	`add-sqr-sqrt`
10×	`sqrt-prod`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
2×	`pow-plus` `unswap-sqr`
1×	`cube-unmult` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

206.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x)))
24.0ms	(sqrt (* (* x 3.0) x))
25.0ms	(sqrt (* (* x 3.0) x))
26.0ms	(sqrt (* (* x 3.0) x))

series411.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x)))
52.0ms	(sqrt (* (* x 3.0) x))
59.0ms	(sqrt (* (* x 3.0) x))
90.0ms	(sqrt (* (* x 3.0) x))

simplify6.9s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
3	2000
2	582
1	220
0	88

prune806.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
16.6b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
16.6b	(sqrt (* (* x 3.0) x))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
16×	`pow-prod-down`
9×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 49

Calls

4 calls:

3.0ms	(cbrt x)
2.0ms	(cbrt x)
209.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
25.0ms	(sqrt (* (* x 3.0) x))

series1.2s

Counts

4 → 12

Calls

4 calls:

378.0ms	(cbrt x)
540.0ms	(cbrt x)
137.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
121.0ms	(sqrt (* (* x 3.0) x))

simplify10.6s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
4	1212
3	382
2	181
1	89
0	52

prune453.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes263.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

394.0ms

10597×

body

valid