Details

sample116.0ms

Algorithm

intervals

Results

32.0ms

331×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	7
0	4

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite168.0ms

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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

143.0ms

(* (* x 3.0) x)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (* x 3.0) x)

simplify7.5s

Counts

23 → 23

Iterations

Iter	Nodes
done	5004
3	1242
2	316
1	100
0	39

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

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))

rewrite292.0ms

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×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

35.0ms	(* (* x 3.0) x)
190.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
26.0ms	(sqrt (* (* x 3.0) x))
29.0ms	(sqrt (* (* x 3.0) x))

series356.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x 3.0) x)
125.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
67.0ms	(sqrt (* (* x 3.0) x))
114.0ms	(sqrt (* (* x 3.0) x))

simplify4.4s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
3	2234
2	603
1	213
0	88

prune604.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite461.0ms

Algorithm

rewrite-expression-head

Rules

84×	`pow1`
56×	`sqrt-pow1`
41×	`pow-prod-down`
18×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
10×	`sqrt-prod`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`
1×	`sqrt-unprod` `pow3` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

356.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x))))
28.0ms	(sqrt (* (* x 3.0) x))
36.0ms	(sqrt (* (* x 3.0) x))
30.0ms	(sqrt (* (* x 3.0) x))

series405.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x))))
67.0ms	(sqrt (* (* x 3.0) x))
65.0ms	(sqrt (* (* x 3.0) x))
61.0ms	(sqrt (* (* x 3.0) x))

simplify5.0s

Counts

104 → 104

Iterations

Iter	Nodes
done	5005
3	2301
2	627
1	230
0	95

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize72.0ms

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))

rewrite236.0ms

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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
201.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
28.0ms	(sqrt (* (* x 3.0) x))

series981.0ms

Counts

4 → 12

Calls

4 calls:

379.0ms	(cbrt x)
362.0ms	(cbrt x)
164.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
76.0ms	(sqrt (* (* x 3.0) x))

simplify4.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
4	1661
3	469
2	202
1	96
0	58

prune497.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes224.0ms

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

sample1.4s

Algorithm

intervals

Results

1.2s

10597×

body

valid