Details

sample63.0ms

Algorithm

intervals

Results

36.0ms

349×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3328
8	2028
7	1853
6	1536
5	891
4	531
3	253
2	92
1	35
0	17

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* 9.0 (* z (* t y))))
0.1b	(fma (* b 27.0) a (- (* x 2.0) (* 9.0 (* z (* t y)))))
0.2b	(* 9.0 (* z (* t y)))
4.9b	(* z (* t y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `fma-udef` `flip--`

Counts

4 → 73

Calls

4 calls:

20.0ms	(- (* x 2.0) (* 9.0 (* z (* t y))))
0.0ms	(fma (* b 27.0) a (- (* x 2.0) (* 9.0 (* z (* t y)))))
47.0ms	(* 9.0 (* z (* t y)))
31.0ms	(* z (* t y))

series417.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (* x 2.0) (* 9.0 (* z (* t y))))
229.0ms	(fma (* b 27.0) a (- (* x 2.0) (* 9.0 (* z (* t y)))))
47.0ms	(* 9.0 (* z (* t y)))
35.0ms	(* z (* t y))

simplify1.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	1191
1	297
0	122

prune709.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* 9.0 z) (* t y)))
0.1b	(fma (* b 27.0) a (- (* x 2.0) (* (* 9.0 z) (* t y))))
5.0b	(* (* 9.0 z) (* t y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `fma-udef` `flip--`

Counts

3 → 53

Calls

3 calls:

8.0ms	(- (* x 2.0) (* (* 9.0 z) (* t y)))
0.0ms	(fma (* b 27.0) a (- (* x 2.0) (* (* 9.0 z) (* t y))))
30.0ms	(* (* 9.0 z) (* t y))

series441.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(- (* x 2.0) (* (* 9.0 z) (* t y)))
269.0ms	(fma (* b 27.0) a (- (* x 2.0) (* (* 9.0 z) (* t y))))
54.0ms	(* (* 9.0 z) (* t y))

simplify1.8s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1008
1	272
0	107

prune520.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* 9.0 (* z (* t y))))
0.1b	(fma (* b 27.0) a (- (* x 2.0) (* 9.0 (* z (* t y)))))
0.2b	(* 9.0 (* z (* t y)))
4.9b	(* z (* t y))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `fma-udef` `flip--`

Counts

4 → 73

Calls

4 calls:

12.0ms	(- (* x 2.0) (* 9.0 (* z (* t y))))
0.0ms	(fma (* b 27.0) a (- (* x 2.0) (* 9.0 (* z (* t y)))))
43.0ms	(* 9.0 (* z (* t y)))
39.0ms	(* z (* t y))

series413.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (* x 2.0) (* 9.0 (* z (* t y))))
203.0ms	(fma (* b 27.0) a (- (* x 2.0) (* 9.0 (* z (* t y)))))
41.0ms	(* 9.0 (* z (* t y)))
50.0ms	(* z (* t y))

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	1191
1	297
0	122

prune620.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.1b	(fma (* b 27.0) a (- (* 2.0 x) (* 9.0 (* t (* z y)))))
0.2b	(* 9.0 (* t (* z y)))
5.1b	(* t (* z y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `fma-udef` `flip--`

Counts

4 → 73

Calls

4 calls:

19.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.0ms	(fma (* b 27.0) a (- (* 2.0 x) (* 9.0 (* t (* z y)))))
34.0ms	(* 9.0 (* t (* z y)))
37.0ms	(* t (* z y))

series424.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
236.0ms	(fma (* b 27.0) a (- (* 2.0 x) (* 9.0 (* t (* z y)))))
47.0ms	(* 9.0 (* t (* z y)))
37.0ms	(* t (* z y))

simplify3.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	4943
2	1046
1	284
0	117

prune595.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.9s

Accuracy

82.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	46
1	46
0	33

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.1s

11023×

body

valid