Details

sample192.0ms

Algorithm

intervals

Results

129.0ms

478×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	2001
3	1089
2	240
1	74
0	28

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize97.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
1.0b	(sqrt PI)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
19×	`add-cbrt-cube` `add-exp-log`
18×	`pow-plus` `pow-prod-up`
12×	`add-sqr-sqrt`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow2` `pow-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l` `pow3` `*-commutative` `sqrt-prod` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 101

Calls

4 calls:

15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
23.0ms	(* (* (fabs x) (fabs x)) (fabs x))
22.0ms	(* (* (fabs x) (fabs x)) (fabs x))
1.0ms	(sqrt PI)

series107.0ms

Counts

4 → 10

Calls

4 calls:

40.0ms	(* (* (fabs x) (fabs x)) (fabs x))
33.0ms	(* (* (fabs x) (fabs x)) (fabs x))
34.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	2004
4	2004
3	1548
2	529
1	164
0	71

prune2.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
1.0b	(sqrt PI)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 111

Calls

4 calls:

46.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
21.0ms	(* (* (fabs x) (fabs x)) (fabs x))
1.0ms	(sqrt PI)

series119.0ms

Counts

4 → 10

Calls

4 calls:

65.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify1.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	2011
3	2011
2	1087
1	295
0	113

prune2.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
1.0b	(sqrt PI)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
19×	`add-cbrt-cube` `add-exp-log`
18×	`pow-plus` `pow-prod-up`
12×	`add-sqr-sqrt`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow2` `pow-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l` `pow3` `*-commutative` `sqrt-prod` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 101

Calls

4 calls:

35.0ms	(* (* (fabs x) (fabs x)) (fabs x))
22.0ms	(* (* (fabs x) (fabs x)) (fabs x))
15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
1.0ms	(sqrt PI)

series105.0ms

Counts

4 → 10

Calls

4 calls:

30.0ms	(* (* (fabs x) (fabs x)) (fabs x))
31.0ms	(* (* (fabs x) (fabs x)) (fabs x))
42.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify1.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	2004
4	2004
3	1548
2	529
1	164
0	71

prune2.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
1.0b	(sqrt PI)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
22×	`pow-prod-up`
19×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt` `pow-plus`
12×	`associate-r`
9×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`sqrt-prod`
6×	`pow2` `pow-sqr`
5×	`sqrt-pow1` `pow1/2`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`associate-l` `*-commutative`
2×	`pow3`
1×	`rem-sqrt-square`

Counts

4 → 104

Calls

4 calls:

29.0ms	(* (* (fabs x) (fabs x)) (fabs x))
26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
17.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
1.0ms	(sqrt PI)

series160.0ms

Counts

4 → 10

Calls

4 calls:

35.0ms	(* (* (fabs x) (fabs x)) (fabs x))
38.0ms	(* (* (fabs x) (fabs x)) (fabs x))
87.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.0ms	(sqrt PI)

simplify1.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	2000
4	2000
3	1965
2	719
1	220
0	86

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

-24% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify30.0ms

Iterations

Iter	Nodes
done	58
1	58
0	35

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.7s

14057×

body

valid