Details

sample161.0ms

Algorithm

intervals

Results

72.0ms

500×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2272
4	1125
3	543
2	196
1	66
0	28

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
6.3b	(* (* (* (* x 18.0) y) z) t)
6.9b	(* (* (* x 18.0) y) z)

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
14.0ms	(* (* j 27.0) k)
163.0ms	(* (* (* (* x 18.0) y) z) t)
48.0ms	(* (* (* x 18.0) y) z)

series167.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
30.0ms	(* (* j 27.0) k)
65.0ms	(* (* (* (* x 18.0) y) z) t)
46.0ms	(* (* (* x 18.0) y) z)

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1417
1	366
0	137

prune926.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* 18.0 (* t (* x (* z y))))
4.7b	(* x (* z y))
6.4b	(* t (* x (* z y)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

15.0ms	(* (* j 27.0) k)
92.0ms	(* 18.0 (* t (* x (* z y))))
14.0ms	(* x (* z y))
34.0ms	(* t (* x (* z y)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* j 27.0) k)
73.0ms	(* 18.0 (* t (* x (* z y))))
33.0ms	(* x (* z y))
50.0ms	(* t (* x (* z y)))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1244
1	317
0	124

prune784.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* 18.0 (* (* t x) (* z y))) (* (* a 4.0) t)) (* b c))
0.2b	(* (* j 27.0) k)
0.3b	(* 18.0 (* (* t x) (* z y)))
8.4b	(* (* t x) (* z y))

rewrite510.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 82

Calls

4 calls:

361.0ms	(+ (- (* 18.0 (* (* t x) (* z y))) (* (* a 4.0) t)) (* b c))
24.0ms	(* (* j 27.0) k)
85.0ms	(* 18.0 (* (* t x) (* z y)))
35.0ms	(* (* t x) (* z y))

series401.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(+ (- (* 18.0 (* (* t x) (* z y))) (* (* a 4.0) t)) (* b c))
31.0ms	(* (* j 27.0) k)
74.0ms	(* 18.0 (* (* t x) (* z y)))
73.0ms	(* (* t x) (* z y))

simplify1.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5003
2	1779
1	437
0	156

prune586.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite238.0ms

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×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

15.0ms	(* (* j 27.0) k)
157.0ms	(* 18.0 (* (* (* t x) z) y))
14.0ms	(* (* t x) z)
47.0ms	(* (* (* t x) z) y)

series189.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* j 27.0) k)
58.0ms	(* 18.0 (* (* (* t x) z) y))
33.0ms	(* (* t x) z)
71.0ms	(* (* (* t x) z) y)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1345
1	350
0	132

prune736.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes2.6s

Accuracy

75.3% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 4.0b

bsearch4.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	80
1	80
0	54

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.4s

16152×

body

valid