Details

sample205.0ms

Algorithm

intervals

Results

152.0ms

528×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite285.0ms

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:

15.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
54.0ms	(* (* (* x 18.0) y) z)
192.0ms	(* (* (* (* x 18.0) y) z) t)

series190.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
31.0ms	(* (* j 27.0) k)
47.0ms	(* (* (* x 18.0) y) z)
80.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	2006
3	2006
2	1402
1	370
0	141

prune678.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* j k))
3.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite218.0ms

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:

16.0ms	(* (* x 18.0) y)
14.0ms	(* 27.0 (* j k))
43.0ms	(* (* (* x 18.0) y) z)
144.0ms	(* (* (* (* x 18.0) y) z) t)

series124.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
21.0ms	(* 27.0 (* j k))
29.0ms	(* (* (* x 18.0) y) z)
52.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	2016
3	2016
2	1334
1	354
0	137

prune668.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 27.0) (* j k))
0.2b	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
3.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-cbrt-cube` `add-exp-log`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-l`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
6×	`sqrt-prod`
4×	`*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 94

Calls

4 calls:

16.0ms	(* (sqrt 27.0) (* j k))
46.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
43.0ms	(* (* (* x 18.0) y) z)
144.0ms	(* (* (* (* x 18.0) y) z) t)

series245.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (sqrt 27.0) (* j k))
99.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
33.0ms	(* (* (* x 18.0) y) z)
47.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	2009
3	2009
2	1735
1	400
0	151

prune846.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* j (* 27.0 k))
3.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite252.0ms

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:

25.0ms	(* (* x 18.0) y)
24.0ms	(* j (* 27.0 k))
50.0ms	(* (* (* x 18.0) y) z)
149.0ms	(* (* (* (* x 18.0) y) z) t)

series139.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
35.0ms	(* j (* 27.0 k))
30.0ms	(* (* (* x 18.0) y) z)
52.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
3	2001
2	1423
1	359
0	139

prune749.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

regimes1.2s

Accuracy

24.9% (3.4b remaining)

Error of 4.1b against oracle of 0.7b and baseline of 5.2b

bsearch428.0ms

Steps

Iters	Range		Point
8	3.901209790529545e-214	3.6045898219622887e-211	1.0466960848960275e-212
8	-1.087910194930425e-145	-4.423976353034381e-149	-6.546212281532558e-146

simplify18.0ms

Iterations

Iter	Nodes
done	88
1	88
0	58

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.3s

16191×

body

valid