Details

sample185.0ms

Algorithm

intervals

Results

133.0ms

509×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2024
5	2024
4	1125
3	543
2	196
1	66
0	28

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 4.0) t)
0.4b	(* (* x 18.0) y)
6.4b	(* (* (* x 18.0) y) z)
6.6b	(* (* (* (* x 18.0) y) z) t)

rewrite287.0ms

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:

24.0ms	(* (* a 4.0) t)
25.0ms	(* (* x 18.0) y)
67.0ms	(* (* (* x 18.0) y) z)
170.0ms	(* (* (* (* x 18.0) y) z) t)

series171.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a 4.0) t)
29.0ms	(* (* x 18.0) y)
36.0ms	(* (* (* x 18.0) y) z)
80.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	2032
3	2032
2	1433
1	363
0	134

prune837.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* a 4.0) t)
3.0b	(* x (* z y))
6.7b	(* t (* x (* z y)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`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 → 79

Calls

4 calls:

13.0ms	(* (* j 27.0) k)
16.0ms	(* (* a 4.0) t)
14.0ms	(* x (* z y))
54.0ms	(* t (* x (* z y)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* j 27.0) k)
23.0ms	(* (* a 4.0) t)
37.0ms	(* x (* z y))
54.0ms	(* t (* x (* z y)))

simplify821.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	2007
3	2007
2	1235
1	349
0	136

prune747.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* x (* z y))))
0.2b	(* (* j 27.0) k)
3.0b	(* x (* z y))
6.7b	(* t (* x (* z y)))

rewrite195.0ms

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

Counts

4 → 85

Calls

4 calls:

89.0ms	(* 18.0 (* t (* x (* z y))))
24.0ms	(* (* j 27.0) k)
27.0ms	(* x (* z y))
53.0ms	(* t (* x (* z y)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* 18.0 (* t (* x (* z y))))
29.0ms	(* (* j 27.0) k)
34.0ms	(* x (* z y))
53.0ms	(* t (* x (* z y)))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	2051
3	2051
2	1231
1	320
0	128

prune725.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* x (* z y))))
0.3b	(* j (* 27.0 k))
3.0b	(* x (* z y))
6.7b	(* t (* x (* z y)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

113.0ms	(* 18.0 (* t (* x (* z y))))
17.0ms	(* j (* 27.0 k))
17.0ms	(* x (* z y))
55.0ms	(* t (* x (* z y)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* 18.0 (* t (* x (* z y))))
34.0ms	(* j (* 27.0 k))
46.0ms	(* x (* z y))
61.0ms	(* t (* x (* z y)))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	2126
3	2126
2	1179
1	306
0	125

prune774.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes1.9s

Accuracy

30.6% (3.9b remaining)

Error of 4.1b against oracle of 0.2b and baseline of 5.8b

bsearch597.0ms

Steps

Iters	Range		Point
9	2.220004711353606e-08	0.12319745439470399	7.540536889545399e-05
9	-3.142704272615928e-259	-6.880355445572115e-268	-5.442676120004847e-262

simplify10.0ms

Iterations

Iter	Nodes
done	70
1	70
0	46

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.7s

16007×

body

valid