Details

sample151.0ms

Algorithm

intervals

Results

93.0ms

518×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize51.0ms

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)))))
0.3b	(* 27.0 (* k j))
4.0b	(* (* t x) (* y 18.0))
5.7b	(* z (* (* t x) (* y 18.0)))

rewrite112.0ms

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)))))
13.0ms	(* 27.0 (* k j))
24.0ms	(* (* t x) (* y 18.0))
72.0ms	(* z (* (* t x) (* y 18.0)))

series10.6s

Counts

4 → 12

Calls

4 calls:

10.4s	(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))
53.0ms	(* (* t x) (* y 18.0))
65.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5005
2	1398
1	360
0	148

prune911.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

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))
4.2b	(* z (* t x))
5.8b	(* (* z (* t x)) (* y 18.0))

rewrite115.0ms

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)))
22.0ms	(* 27.0 (* k j))
20.0ms	(* z (* t x))
70.0ms	(* (* z (* t x)) (* y 18.0))

series266.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
28.0ms	(* 27.0 (* k j))
35.0ms	(* z (* t x))
66.0ms	(* (* z (* t x)) (* y 18.0))

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	1355
1	352
0	143

prune806.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* z (* t x)) y) 18.0)
0.3b	(* 27.0 (* k j))
4.2b	(* z (* t x))
5.4b	(* (* z (* t x)) y)

rewrite295.0ms

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:

190.0ms	(* (* (* z (* t x)) y) 18.0)
22.0ms	(* 27.0 (* k j))
21.0ms	(* z (* t x))
59.0ms	(* (* z (* t x)) y)

series168.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* (* z (* t x)) y) 18.0)
27.0ms	(* 27.0 (* k j))
29.0ms	(* z (* t x))
61.0ms	(* (* z (* t x)) y)

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1381
1	356
0	140

prune944.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (* (* z (* t x)) y) (sqrt 18.0)) (sqrt 18.0))
0.5b	(* (* (* z (* t x)) y) (sqrt 18.0))
4.2b	(* z (* t x))
5.4b	(* (* z (* t x)) y)

rewrite884.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

647.0ms	(* (* (* (* z (* t x)) y) (sqrt 18.0)) (sqrt 18.0))
156.0ms	(* (* (* z (* t x)) y) (sqrt 18.0))
12.0ms	(* z (* t x))
62.0ms	(* (* z (* t x)) y)

series384.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (* (* (* z (* t x)) y) (sqrt 18.0)) (sqrt 18.0))
114.0ms	(* (* (* z (* t x)) y) (sqrt 18.0))
41.0ms	(* z (* t x))
67.0ms	(* (* z (* t x)) y)

simplify1.8s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1617
1	384
0	140

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes3.0s

Accuracy

88.4% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 4.6b

bsearch7.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	78
1	78
0	54

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.4s

16153×

body

valid