Details

sample207.0ms

Algorithm

intervals

Results

95.0ms

558×

body

valid

simplify7.1s

Counts

1 → 1

Iterations

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

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize249.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.5b	(* (* x 18.0) y)
3.8b	(* (* (* x 18.0) y) z)
5.4b	(* (* (* (* x 18.0) y) z) t)

rewrite732.0ms

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:

43.0ms	(* (* x 4.0) i)
64.0ms	(* (* x 18.0) y)
155.0ms	(* (* (* x 18.0) y) z)
465.0ms	(* (* (* (* x 18.0) y) z) t)

series236.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* x 4.0) i)
47.0ms	(* (* x 18.0) y)
52.0ms	(* (* (* x 18.0) y) z)
90.0ms	(* (* (* (* x 18.0) y) z) t)

simplify3.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	1418
1	366
0	137

prune2.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.2b

localize291.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.3b	(* x (* 18.0 y))
3.8b	(* (* x (* 18.0 y)) z)
5.4b	(* (* (* x (* 18.0 y)) z) t)

rewrite602.0ms

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:

45.0ms	(* (* x 4.0) i)
46.0ms	(* x (* 18.0 y))
113.0ms	(* (* x (* 18.0 y)) z)
393.0ms	(* (* (* x (* 18.0 y)) z) t)

series214.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x 4.0) i)
32.0ms	(* x (* 18.0 y))
48.0ms	(* (* x (* 18.0 y)) z)
105.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify3.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1402
1	359
0	135

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.2b

localize287.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b c) (+ (* k (* j 27.0)) (* (* i x) 4.0)))
0.2b	(* k (* j 27.0))
3.4b	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
4.2b	(* (* y x) (* z 18.0))

rewrite554.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

71.0ms	(- (* b c) (+ (* k (* j 27.0)) (* (* i x) 4.0)))
39.0ms	(* k (* j 27.0))
319.0ms	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
116.0ms	(* (* y x) (* z 18.0))

series462.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(- (* b c) (+ (* k (* j 27.0)) (* (* i x) 4.0)))
36.0ms	(* k (* j 27.0))
198.0ms	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
57.0ms	(* (* y x) (* z 18.0))

simplify3.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1617
1	458
0	174

prune2.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.2b

localize337.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b c) (+ (* 27.0 (* j k)) (* 4.0 (* x i))))
0.3b	(* 27.0 (* j k))
3.4b	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
4.2b	(* (* y x) (* z 18.0))

rewrite514.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

97.0ms	(- (* b c) (+ (* 27.0 (* j k)) (* 4.0 (* x i))))
39.0ms	(* 27.0 (* j k))
313.0ms	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
61.0ms	(* (* y x) (* z 18.0))

series511.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(- (* b c) (+ (* 27.0 (* j k)) (* 4.0 (* x i))))
33.0ms	(* 27.0 (* j k))
201.0ms	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
55.0ms	(* (* y x) (* z 18.0))

simplify3.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1631
1	455
0	172

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

regimes8.6s

Accuracy

28.8% (3.6b remaining)

Error of 4.3b against oracle of 0.7b and baseline of 5.8b

bsearch790.0ms

Steps

Iters	Range		Point
10	1.242935524573972e+38	3.352223017414406e+53	2.4482662989943874e+44
10	-3.528033539557161e-242	-4.171467485866497e-255	-8.760666895464302e-244

simplify52.0ms

Iterations

Iter	Nodes
done	71
1	71
0	46

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.5s

16267×

body

valid