Details

sample161.0ms

Algorithm

intervals

Results

90.0ms

533×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2272
4	1125
3	543
2	196
1	66
0	28

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.1b	(* (* (* x 18.0) y) z)
7.7b	(* (* (* (* x 18.0) y) z) t)

rewrite256.0ms

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:

23.0ms	(* (* x 18.0) y)
23.0ms	(* (* j 27.0) k)
47.0ms	(* (* (* x 18.0) y) z)
160.0ms	(* (* (* (* x 18.0) y) z) t)

series160.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
44.0ms	(* (* (* x 18.0) y) z)
73.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1402
1	370
0	141

prune724.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.4b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* x (* z y))))
0.2b	(* (* j 27.0) k)
4.1b	(* x (* z y))
7.4b	(* t (* x (* z y)))

rewrite530.0ms

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:

112.0ms	(* 18.0 (* t (* x (* z y))))
22.0ms	(* (* j 27.0) k)
341.0ms	(* x (* z y))
54.0ms	(* t (* x (* z y)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 18.0 (* t (* x (* z y))))
24.0ms	(* (* j 27.0) k)
35.0ms	(* x (* z y))
60.0ms	(* t (* x (* z y)))

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1231
1	320
0	128

prune527.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* 18.0 (* (* t x) (* z y))) (* (* a 4.0) t)) (* b c))
0.2b	(* 18.0 (* (* t x) (* z y)))
0.2b	(* (* j 27.0) k)
8.3b	(* (* t x) (* z y))

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`insert-posit16`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 86

Calls

4 calls:

393.0ms	(+ (- (* 18.0 (* (* t x) (* z y))) (* (* a 4.0) t)) (* b c))
83.0ms	(* 18.0 (* (* t x) (* z y)))
20.0ms	(* (* j 27.0) k)
28.0ms	(* (* t x) (* z y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(+ (- (* 18.0 (* (* t x) (* z y))) (* (* a 4.0) t)) (* b c))
49.0ms	(* 18.0 (* (* t x) (* z y)))
21.0ms	(* (* j 27.0) k)
53.0ms	(* (* t x) (* z y))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5014
2	1794
1	439
0	160

prune747.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.4b	(* (sqrt 18.0) (* (sqrt 18.0) (* (* t x) (* z y))))
0.4b	(* (sqrt 18.0) (* (* t x) (* z y)))
8.3b	(* (* t x) (* z y))

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

21.0ms	(* (* j 27.0) k)
224.0ms	(* (sqrt 18.0) (* (sqrt 18.0) (* (* t x) (* z y))))
91.0ms	(* (sqrt 18.0) (* (* t x) (* z y)))
32.0ms	(* (* t x) (* z y))

series399.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* j 27.0) k)
186.0ms	(* (sqrt 18.0) (* (sqrt 18.0) (* (* t x) (* z y))))
118.0ms	(* (sqrt 18.0) (* (* t x) (* z y)))
65.0ms	(* (* t x) (* z y))

simplify1.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5024
2	1958
1	417
0	154

prune686.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes2.0s

Accuracy

68.8% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 6.2b

bsearch370.0ms

Steps

Iters	Range		Point
11	8.28781306557297e+79	1.469544142548561e+103	8.769336708467037e+80
7	-1.9684634391419634e-31	-9.651518956096097e-34	-5.433898367772061e-33

simplify11.0ms

Iterations

Iter	Nodes
done	68
1	68
0	47

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.9s

16191×

body

valid