Details

sample133.0ms

Algorithm

intervals

Results

61.0ms

500×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
0.2b	(* 27.0 (* k j))
4.3b	(* (* t x) (* y 18.0))
6.9b	(* z (* (* t x) (* y 18.0)))

rewrite124.0ms

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 b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
20.0ms	(* 27.0 (* k j))
26.0ms	(* (* t x) (* y 18.0))
72.0ms	(* z (* (* t x) (* y 18.0)))

series13.6s

Counts

4 → 12

Calls

4 calls:

13.4s	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
34.0ms	(* 27.0 (* k j))
47.0ms	(* (* t x) (* y 18.0))
84.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5005
2	1398
1	360
0	148

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.2b	(* 27.0 (* k j))
5.1b	(* z (* t x))
6.1b	(* (* z (* t x)) (* y 18.0))

rewrite120.0ms

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)))
18.0ms	(* 27.0 (* k j))
14.0ms	(* z (* t x))
83.0ms	(* (* z (* t x)) (* y 18.0))

series263.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
24.0ms	(* 27.0 (* k j))
30.0ms	(* z (* t x))
83.0ms	(* (* z (* t x)) (* y 18.0))

simplify1.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	1355
1	352
0	143

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* k j))
0.3b	(* (* (* z (* t x)) y) 18.0)
5.1b	(* z (* t x))
5.7b	(* (* z (* t x)) y)

rewrite288.0ms

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:

21.0ms	(* 27.0 (* k j))
165.0ms	(* (* (* z (* t x)) y) 18.0)
26.0ms	(* z (* t x))
74.0ms	(* (* z (* t x)) y)

series246.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 27.0 (* k j))
88.0ms	(* (* (* z (* t x)) y) 18.0)
47.0ms	(* z (* t x))
69.0ms	(* (* z (* t x)) y)

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1398
1	352
0	140

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 k) j)
0.3b	(* (* (* z (* t x)) y) 18.0)
5.1b	(* z (* t x))
5.7b	(* (* z (* t x)) y)

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

14.0ms	(* (* 27.0 k) j)
240.0ms	(* (* (* z (* t x)) y) 18.0)
14.0ms	(* z (* t x))
72.0ms	(* (* z (* t x)) y)

series234.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* 27.0 k) j)
75.0ms	(* (* (* z (* t x)) y) 18.0)
47.0ms	(* z (* t x))
85.0ms	(* (* z (* t x)) y)

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5006
2	1454
1	363
0	142

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes3.4s

Accuracy

76.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 4.3b

bsearch7.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	81
1	81
0	56

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.0s

16152×

body

valid