Details

sample184.0ms

Algorithm

intervals

Results

108.0ms

509×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize48.0ms

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)

rewrite243.0ms

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:

14.0ms	(* (* a 4.0) t)
14.0ms	(* (* x 18.0) y)
56.0ms	(* (* (* x 18.0) y) z)
157.0ms	(* (* (* (* x 18.0) y) z) t)

series132.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* a 4.0) t)
21.0ms	(* (* x 18.0) y)
35.0ms	(* (* (* x 18.0) y) z)
53.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.4s

Counts

97 → 97

Iterations

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

prune2.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

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)))

rewrite113.0ms

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:

17.0ms	(* (* j 27.0) k)
14.0ms	(* (* a 4.0) t)
26.0ms	(* x (* z y))
54.0ms	(* t (* x (* z y)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* j 27.0) k)
38.0ms	(* (* a 4.0) t)
31.0ms	(* x (* z y))
61.0ms	(* t (* x (* z y)))

simplify1.3s

Counts

91 → 91

Iterations

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

prune2.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize97.0ms

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)))

rewrite612.0ms

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:

108.0ms	(* 18.0 (* t (* x (* z y))))
409.0ms	(* (* j 27.0) k)
26.0ms	(* x (* z y))
67.0ms	(* t (* x (* z y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 18.0 (* t (* x (* z y))))
33.0ms	(* (* j 27.0) k)
28.0ms	(* x (* z y))
58.0ms	(* t (* x (* z y)))

simplify1.5s

Counts

97 → 97

Iterations

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

prune2.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

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)))

rewrite265.0ms

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:

169.0ms	(* 18.0 (* t (* x (* z y))))
26.0ms	(* j (* 27.0 k))
15.0ms	(* x (* z y))
53.0ms	(* t (* x (* z y)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* 18.0 (* t (* x (* z y))))
36.0ms	(* j (* 27.0 k))
48.0ms	(* x (* z y))
77.0ms	(* t (* x (* z y)))

simplify1.4s

Counts

97 → 97

Iterations

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

prune2.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes1.8s

Accuracy

30.6% (3.9b remaining)

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

bsearch443.0ms

Steps

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

simplify14.0ms

Iterations

Iter	Nodes
done	70
1	70
0	46

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.7s

16007×

body

valid