Details

sample113.0ms

Algorithm

intervals

Results

64.0ms

573×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3800
3	809
2	221
1	67
0	28

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* 27.0 j) k)
5.4b	(* (* (* x 18.0) y) z)
7.2b	(* t (* (* (* x 18.0) y) z))

rewrite257.0ms

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:

17.0ms	(* (* x 18.0) y)
20.0ms	(* (* 27.0 j) k)
62.0ms	(* (* (* x 18.0) y) z)
155.0ms	(* t (* (* (* x 18.0) y) z))

series175.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
31.0ms	(* (* 27.0 j) k)
42.0ms	(* (* (* x 18.0) y) z)
72.0ms	(* t (* (* (* x 18.0) y) z))

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2777
1	374
0	142

prune957.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* 27.0 j) k)
5.5b	(* t (* (* x 18.0) y))
6.4b	(* (* t (* (* x 18.0) y)) z)

rewrite231.0ms

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:

24.0ms	(* (* x 18.0) y)
15.0ms	(* (* 27.0 j) k)
50.0ms	(* t (* (* x 18.0) y))
138.0ms	(* (* t (* (* x 18.0) y)) z)

series179.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x 18.0) y)
31.0ms	(* (* 27.0 j) k)
37.0ms	(* t (* (* x 18.0) y))
72.0ms	(* (* t (* (* x 18.0) y)) z)

simplify1.5s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2473
1	380
0	143

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (* x 18.0))
0.4b	(* (* 27.0 j) k)
1.9b	(* (* t (* x 18.0)) y)
6.4b	(* (* (* t (* x 18.0)) y) z)

rewrite270.0ms

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:

21.0ms	(* t (* x 18.0))
22.0ms	(* (* 27.0 j) k)
48.0ms	(* (* t (* x 18.0)) y)
174.0ms	(* (* (* t (* x 18.0)) y) z)

series171.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* t (* x 18.0))
25.0ms	(* (* 27.0 j) k)
46.0ms	(* (* t (* x 18.0)) y)
66.0ms	(* (* (* t (* x 18.0)) y) z)

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2627
1	370
0	143

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (* x 18.0))
0.3b	(* 27.0 (* j k))
1.9b	(* (* t (* x 18.0)) y)
6.4b	(* (* (* t (* x 18.0)) y) z)

rewrite264.0ms

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:

16.0ms	(* t (* x 18.0))
12.0ms	(* 27.0 (* j k))
51.0ms	(* (* t (* x 18.0)) y)
180.0ms	(* (* (* t (* x 18.0)) y) z)

series201.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* t (* x 18.0))
40.0ms	(* 27.0 (* j k))
51.0ms	(* (* t (* x 18.0)) y)
73.0ms	(* (* (* t (* x 18.0)) y) z)

simplify2.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2221
1	355
0	140

prune830.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes1.8s

Accuracy

56.8% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 4.7b

bsearch458.0ms

Steps

Iters	Range		Point
9	0.013220082409437133	1459.5441836454027	1208.5467001189036
8	-3.1472827154405617e+100	-6.279241610355285e+95	-6.442181096393705e+95

simplify367.0ms

Iterations

Iter	Nodes
done	55
1	55
0	39

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.6s

16446×

body

valid