Details

sample109.0ms

Algorithm

intervals

Results

66.0ms

503×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
4.7b	(* (* (* x 18.0) y) z)
5.8b	(* (* (* (* x 18.0) y) z) t)

rewrite409.0ms

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:

26.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
78.0ms	(* (* (* x 18.0) y) z)
274.0ms	(* (* (* (* x 18.0) y) z) t)

series173.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
36.0ms	(* (* j 27.0) k)
42.0ms	(* (* (* x 18.0) y) z)
68.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1402
1	370
0	141

prune832.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
4.7b	(* (* (* x 18.0) y) z)
5.8b	(* (* (* (* x 18.0) y) z) t)

rewrite296.0ms

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)
16.0ms	(* j (* 27.0 k))
60.0ms	(* (* (* x 18.0) y) z)
189.0ms	(* (* (* (* x 18.0) y) z) t)

series185.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
30.0ms	(* j (* 27.0 k))
47.0ms	(* (* (* x 18.0) y) z)
77.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1423
1	359
0	139

prune702.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 18.0 x) z)
0.3b	(* j (* 27.0 k))
5.8b	(* (* (* (* 18.0 x) z) y) t)
6.4b	(* (* (* 18.0 x) z) y)

rewrite369.0ms

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:

33.0ms	(* (* 18.0 x) z)
17.0ms	(* j (* 27.0 k))
248.0ms	(* (* (* (* 18.0 x) z) y) t)
66.0ms	(* (* (* 18.0 x) z) y)

series187.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* 18.0 x) z)
35.0ms	(* j (* 27.0 k))
81.0ms	(* (* (* (* 18.0 x) z) y) t)
36.0ms	(* (* (* 18.0 x) z) y)

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1310
1	353
0	137

prune858.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 18.0 x) z)
0.3b	(* 27.0 (* j k))
5.8b	(* (* (* (* 18.0 x) z) y) t)
6.4b	(* (* (* 18.0 x) z) y)

rewrite360.0ms

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:

22.0ms	(* (* 18.0 x) z)
16.0ms	(* 27.0 (* j k))
244.0ms	(* (* (* (* 18.0 x) z) y) t)
74.0ms	(* (* (* 18.0 x) z) y)

series197.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* 18.0 x) z)
21.0ms	(* 27.0 (* j k))
84.0ms	(* (* (* (* 18.0 x) z) y) t)
56.0ms	(* (* (* 18.0 x) z) y)

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5007
2	1276
1	348
0	135

prune739.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes2.3s

Accuracy

43.8% (2.9b remaining)

Error of 3.1b against oracle of 0.2b and baseline of 5.3b

bsearch413.0ms

Steps

Iters	Range		Point
10	7.003492913098751e+18	5.168729066066884e+28	4.398142218816576e+19
7	-1.5754821121689165e+25	-2.6096971115488982e+23	-8.801409940468935e+23

simplify44.0ms

Iterations

Iter	Nodes
done	78
1	78
0	55

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.5s

15885×

body

valid