Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

332×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
3	9
2	8
1	6
0	4

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

26.0ms

(* (* x 3.0) x)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (* x 3.0) x)

simplify1.8s

Counts

23 → 23

Iterations

Iter	Nodes
done	5009
3	1299
2	341
1	100
0	39

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
20.4b	(sqrt (* (* x 3.0) x))
20.4b	(sqrt (* (* x 3.0) x))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `add-cube-cbrt`
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` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

14.0ms	(* (* x 3.0) x)
116.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
10.0ms	(sqrt (* (* x 3.0) x))
13.0ms	(sqrt (* (* x 3.0) x))

series271.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* x 3.0) x)
107.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
62.0ms	(sqrt (* (* x 3.0) x))
60.0ms	(sqrt (* (* x 3.0) x))

simplify2.1s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
3	2251
2	607
1	214
0	88

prune377.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
20.4b	(sqrt (* (* x 3.0) x))
20.4b	(sqrt (* (* x 3.0) x))
20.4b	(sqrt (* (* x 3.0) x))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

157×	`pow1`
149×	`sqrt-pow1`
82×	`pow-prod-down`
29×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`pow1/2`
21×	`pow-prod-up`
13×	`pow-sqr`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 132

Calls

4 calls:

96.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
10.0ms	(sqrt (* (* x 3.0) x))
12.0ms	(sqrt (* (* x 3.0) x))
27.0ms	(sqrt (* (* x 3.0) x))

series219.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
52.0ms	(sqrt (* (* x 3.0) x))
42.0ms	(sqrt (* (* x 3.0) x))
70.0ms	(sqrt (* (* x 3.0) x))

simplify3.5s

Counts

144 → 144

Iterations

Iter	Nodes
done	5009
4	2185
3	733
2	348
1	158
0	81

prune493.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
20.4b	(sqrt (* (* x 3.0) x))
20.4b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
16×	`pow-prod-down`
9×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
19.0ms	(sqrt (* (* x 3.0) x))
133.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt x)
267.0ms	(cbrt x)
38.0ms	(sqrt (* (* x 3.0) x))
107.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))

simplify3.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
4	1865
3	494
2	198
1	94
0	58

prune338.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes225.0ms

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

sample459.0ms

Algorithm

intervals

Results

246.0ms

10597×

body

valid