Details

sample104.0ms

Algorithm

intervals

Results

54.0ms

514×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4998
4	2295
3	723
2	217
1	67
0	28

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.3b	(* 27.0 (* k j))
4.0b	(* (* t x) (* y 18.0))
8.1b	(* z (* (* t x) (* y 18.0)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
12.0ms	(* 27.0 (* k j))
28.0ms	(* (* t x) (* y 18.0))
85.0ms	(* z (* (* t x) (* y 18.0)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
22.0ms	(* 27.0 (* k j))
43.0ms	(* (* t x) (* y 18.0))
80.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5004
2	1439
1	358
0	146

prune960.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.3b	(* 27.0 (* k j))
3.9b	(* z (* t x))
5.2b	(* (* z (* t x)) (* y 18.0))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

0.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
23.0ms	(* 27.0 (* k j))
24.0ms	(* z (* t x))
95.0ms	(* (* z (* t x)) (* y 18.0))

series283.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
24.0ms	(* 27.0 (* k j))
40.0ms	(* z (* t x))
79.0ms	(* (* z (* t x)) (* y 18.0))

simplify1.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	1355
1	352
0	143

prune911.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* z (* t x)) y) 18.0)
0.3b	(* 27.0 (* k j))
3.9b	(* z (* t x))
5.2b	(* (* z (* t x)) y)

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

154.0ms	(* (* (* z (* t x)) y) 18.0)
13.0ms	(* 27.0 (* k j))
18.0ms	(* z (* t x))
54.0ms	(* (* z (* t x)) y)

series186.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* (* z (* t x)) y) 18.0)
31.0ms	(* 27.0 (* k j))
41.0ms	(* z (* t x))
57.0ms	(* (* z (* t x)) y)

simplify1.5s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1381
1	356
0	140

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j))))
0.5b	(cbrt (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j))))
3.9b	(* z (* t x))
5.2b	(* (* z (* t x)) (* y 18.0))

rewrite422.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j))))
1.0ms	(cbrt (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j))))
19.0ms	(* z (* t x))
399.0ms	(* (* z (* t x)) (* y 18.0))

series838.0ms

Counts

4 → 12

Calls

4 calls:

374.0ms	(cbrt (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j))))
351.0ms	(cbrt (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j))))
41.0ms	(* z (* t x))
71.0ms	(* (* z (* t x)) (* y 18.0))

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1158
1	318
0	134

prune853.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes2.7s

Accuracy

65.6% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 4.1b

bsearch4.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	67
1	67
0	45

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.9s

16269×

body

valid