Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

323×

body

valid

simplify29.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
4	21
3	20
2	16
1	11
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-/l*` `difference-of-squares`
3×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

46.0ms

(/ (- (* x x) 3.0) 6.0)

series126.0ms

Counts

1 → 3

Calls

1 calls:

126.0ms

(/ (- (* x x) 3.0) 6.0)

simplify1.8s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	1443
2	448
1	178
0	79

prune150.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 0.16666666666666666 (* x x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

16.0ms

(* 0.16666666666666666 (* x x))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* 0.16666666666666666 (* x x))

simplify2.8s

Counts

23 → 23

Iterations

Iter	Nodes
done	5003
3	1055
2	261
1	88
0	35

prune83.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 0.16666666666666666 x) x)

rewrite20.0ms

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×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

20.0ms

(* (* 0.16666666666666666 x) x)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (* 0.16666666666666666 x) x)

simplify2.3s

Counts

22 → 22

Iterations

Iter	Nodes
done	5000
3	1271
2	322
1	100
0	37

prune87.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) x)
0.2b	(* (sqrt 0.16666666666666666) x)
0.4b	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
17×	`add-sqr-sqrt`
13×	`associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-r`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 81

Calls

3 calls:

20.0ms	(* (sqrt 0.16666666666666666) x)
23.0ms	(* (sqrt 0.16666666666666666) x)
44.0ms	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

series258.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (sqrt 0.16666666666666666) x)
79.0ms	(* (sqrt 0.16666666666666666) x)
119.0ms	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

simplify2.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	2433
2	476
1	139
0	60

prune238.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample567.0ms

Algorithm

intervals

Results

417.0ms

10676×

body

valid