Details

sample46.0ms

Algorithm

intervals

Results

24.0ms

349×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1325
4	618
3	257
2	92
1	35
0	17

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 x (- (* (* 27.0 b) a) (* (* (* y 9.0) z) t)))
0.2b	(* (* 27.0 b) a)
0.4b	(* (* y 9.0) z)
5.3b	(* (* (* y 9.0) z) t)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

0.0ms	(fma 2.0 x (- (* (* 27.0 b) a) (* (* (* y 9.0) z) t)))
15.0ms	(* (* 27.0 b) a)
15.0ms	(* (* y 9.0) z)
51.0ms	(* (* (* y 9.0) z) t)

series294.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(fma 2.0 x (- (* (* 27.0 b) a) (* (* (* y 9.0) z) t)))
26.0ms	(* (* 27.0 b) a)
38.0ms	(* (* y 9.0) z)
41.0ms	(* (* (* y 9.0) z) t)

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
2	2144
1	318
0	129

prune717.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 27.0 (* b a) (- (* x 2.0) (* (* z y) (* t 9.0))))
5.3b	(* (* z y) (* t 9.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma 27.0 (* b a) (- (* x 2.0) (* (* z y) (* t 9.0))))
33.0ms	(* (* z y) (* t 9.0))

series361.0ms

Counts

2 → 6

Calls

2 calls:

320.0ms	(fma 27.0 (* b a) (- (* x 2.0) (* (* z y) (* t 9.0))))
40.0ms	(* (* z y) (* t 9.0))

simplify1.3s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
2	767
1	175
0	75

prune350.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma 27.0 (* b a) (- (* x 2.0) (* z (* y (* t 9.0)))))
0.2b	(* y (* t 9.0))
6.0b	(* z (* y (* t 9.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma 27.0 (* b a) (- (* x 2.0) (* z (* y (* t 9.0)))))
14.0ms	(* y (* t 9.0))
58.0ms	(* z (* y (* t 9.0)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

224.0ms	(fma 27.0 (* b a) (- (* x 2.0) (* z (* y (* t 9.0)))))
37.0ms	(* y (* t 9.0))
37.0ms	(* z (* y (* t 9.0)))

simplify1.6s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	813
1	201
0	91

prune541.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma 27.0 (* b a) (- (* x 2.0) (* 9.0 (* t (* z y)))))
0.3b	(* 9.0 (* t (* z y)))
5.3b	(* t (* z y))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma 27.0 (* b a) (- (* x 2.0) (* 9.0 (* t (* z y)))))
35.0ms	(* 9.0 (* t (* z y)))
14.0ms	(* t (* z y))

series302.0ms

Counts

3 → 9

Calls

3 calls:

226.0ms	(fma 27.0 (* b a) (- (* x 2.0) (* 9.0 (* t (* z y)))))
34.0ms	(* 9.0 (* t (* z y)))
41.0ms	(* t (* z y))

simplify2.9s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	4345
2	744
1	191
0	87

prune473.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.9s

Accuracy

81.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.2b

bsearch2.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

11036×

body

valid