Details

sample114.0ms

Algorithm

intervals

Results

61.0ms

454×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.2b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
4.1b	(* (* (* x 18.0) y) z)
5.4b	(* (* (* (* x 18.0) y) z) t)

rewrite367.0ms

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` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
72.0ms	(* (* (* x 18.0) y) z)
253.0ms	(* (* (* (* x 18.0) y) z) t)

series176.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
31.0ms	(* (* j 27.0) k)
48.0ms	(* (* (* x 18.0) y) z)
70.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1402
1	370
0	141

prune849.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* j k))
4.1b	(* (* (* x 18.0) y) z)
5.4b	(* (* (* (* x 18.0) y) z) t)

rewrite376.0ms

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` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
30.0ms	(* 27.0 (* j k))
67.0ms	(* (* (* x 18.0) y) z)
250.0ms	(* (* (* (* x 18.0) y) z) t)

series147.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
36.0ms	(* 27.0 (* j k))
33.0ms	(* (* (* x 18.0) y) z)
55.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1334
1	354
0	137

prune772.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
4.1b	(* (* (* x 18.0) y) z)
5.4b	(* (* (* (* x 18.0) y) z) t)

rewrite449.0ms

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` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

29.0ms	(* (* x 18.0) y)
28.0ms	(* j (* 27.0 k))
90.0ms	(* (* (* x 18.0) y) z)
298.0ms	(* (* (* (* x 18.0) y) z) t)

series194.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x 18.0) y)
36.0ms	(* j (* 27.0 k))
49.0ms	(* (* (* x 18.0) y) z)
72.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1423
1	359
0	139

prune918.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x y))
0.2b	(* 27.0 (* j k))
4.1b	(* (* 18.0 (* x y)) z)
5.4b	(* (* (* 18.0 (* x y)) z) t)

rewrite333.0ms

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×	`*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

35.0ms	(* 18.0 (* x y))
33.0ms	(* 27.0 (* j k))
53.0ms	(* (* 18.0 (* x y)) z)
207.0ms	(* (* (* 18.0 (* x y)) z) t)

series147.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 18.0 (* x y))
22.0ms	(* 27.0 (* j k))
30.0ms	(* (* 18.0 (* x y)) z)
66.0ms	(* (* (* 18.0 (* x y)) z) t)

simplify1.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	1315
1	342
0	133

prune750.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

regimes2.7s

Accuracy

63.7% (1.7b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 5.1b

bsearch5.0ms

simplify54.0ms

Iterations

Iter	Nodes
done	103
3	103
2	97
1	91
0	62

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.8s

16156×

body

valid