Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

336×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	6
0	4

prune12.0ms

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 (* x 3.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

15.0ms

(* x (* x 3.0))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* x (* x 3.0))

simplify4.0s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
3	4869
2	457
1	88
0	35

prune118.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) 3.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

14.0ms

(* (* x x) 3.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (* x x) 3.0)

simplify570.0ms

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
2	736
1	106
0	39

prune101.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l`
7×	`sqrt-prod`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 70

Calls

3 calls:

20.0ms	(* (* (sqrt 3.0) x) x)
87.0ms	(* (* (* (sqrt 3.0) x) x) (sqrt 3.0))
14.0ms	(* (sqrt 3.0) x)

series296.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* (* (sqrt 3.0) x) x)
134.0ms	(* (* (* (sqrt 3.0) x) x) (sqrt 3.0))
78.0ms	(* (sqrt 3.0) x)

simplify1.3s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1548
1	216
0	84

prune236.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) x)) x)
0.2b	(* (* (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) x)) x) (sqrt 3.0))
0.4b	(* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) x))
1.0b	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

rewrite803.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
61×	`add-exp-log`
42×	`pow-prod-down`
41×	`add-sqr-sqrt` `add-cbrt-cube` `prod-exp` `cbrt-unprod`
40×	`cbrt-prod`
23×	`sqrt-prod`
19×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
12×	`associate-l`
11×	`swap-sqr`
9×	`unswap-sqr`
6×	`pow1/3`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 146

Calls

4 calls:

168.0ms	(* (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) x)) x)
544.0ms	(* (* (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) x)) x) (sqrt 3.0))
53.0ms	(* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) x))
26.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

series215.0ms

Counts

4 → 10

Calls

4 calls:

63.0ms	(* (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) x)) x)
96.0ms	(* (* (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) x)) x) (sqrt 3.0))
55.0ms	(* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) x))
0.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

simplify2.5s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	3143
1	405
0	150

prune320.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample359.0ms

Algorithm

intervals

Results

226.0ms

10677×

body

valid