Details

sample118.0ms

Algorithm

intervals

Results

63.0ms

488×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

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

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* 27.0 j) k)
6.0b	(* (* (* x 18.0) y) z)
7.4b	(* t (* (* (* x 18.0) y) z))

rewrite219.0ms

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:

20.0ms	(* (* x 18.0) y)
15.0ms	(* (* 27.0 j) k)
51.0ms	(* (* (* x 18.0) y) z)
128.0ms	(* t (* (* (* x 18.0) y) z))

series148.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
29.0ms	(* (* 27.0 j) k)
37.0ms	(* (* (* x 18.0) y) z)
58.0ms	(* t (* (* (* x 18.0) y) z))

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2777
1	374
0	142

prune966.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* 27.0 j) k)
4.7b	(* t (* (* x 18.0) y))
5.6b	(* (* t (* (* x 18.0) y)) z)

rewrite306.0ms

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:

18.0ms	(* (* x 18.0) y)
25.0ms	(* (* 27.0 j) k)
55.0ms	(* t (* (* x 18.0) y))
205.0ms	(* (* t (* (* x 18.0) y)) z)

series192.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
31.0ms	(* (* 27.0 j) k)
57.0ms	(* t (* (* x 18.0) y))
71.0ms	(* (* t (* (* x 18.0) y)) z)

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2473
1	380
0	143

prune947.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (* x 18.0))
0.5b	(* (* 27.0 j) k)
3.4b	(* (* t (* x 18.0)) y)
5.6b	(* (* (* t (* x 18.0)) y) z)

rewrite245.0ms

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:

14.0ms	(* t (* x 18.0))
15.0ms	(* (* 27.0 j) k)
42.0ms	(* (* t (* x 18.0)) y)
171.0ms	(* (* (* t (* x 18.0)) y) z)

series200.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* t (* x 18.0))
33.0ms	(* (* 27.0 j) k)
52.0ms	(* (* t (* x 18.0)) y)
76.0ms	(* (* (* t (* x 18.0)) y) z)

simplify2.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2627
1	370
0	143

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 18.0 (* t x))
0.5b	(* (* 27.0 j) k)
3.4b	(* (* 18.0 (* t x)) y)
5.6b	(* (* (* 18.0 (* t x)) y) z)

rewrite346.0ms

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:

26.0ms	(* 18.0 (* t x))
28.0ms	(* (* 27.0 j) k)
75.0ms	(* (* 18.0 (* t x)) y)
212.0ms	(* (* (* 18.0 (* t x)) y) z)

series192.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 18.0 (* t x))
29.0ms	(* (* 27.0 j) k)
37.0ms	(* (* 18.0 (* t x)) y)
77.0ms	(* (* (* 18.0 (* t x)) y) z)

simplify2.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2405
1	363
0	142

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes1.9s

Accuracy

57.5% (2.2b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 5.2b

bsearch519.0ms

Steps

Iters	Range		Point
9	2.0191971360253358e+124	1.5656021333161894e+132	3.7086816010480535e+124
10	-5.212251114310214e+77	-3.090613202276785e+67	-3.22480334132065e+67

simplify12.0ms

Iterations

Iter	Nodes
done	62
1	62
0	46

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.1s

15952×

body

valid