Details

sample47.0ms

Algorithm

intervals

Results

24.0ms

349×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1325
4	618
3	257
2	92
1	35
0	17

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 27.0 b) a) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.2b	(* (* 27.0 b) a)
5.2b	(* (* (* y 9.0) z) t)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

19.0ms	(- (* (* 27.0 b) a) (* (* (* y 9.0) z) t))
20.0ms	(* (* y 9.0) z)
14.0ms	(* (* 27.0 b) a)
55.0ms	(* (* (* y 9.0) z) t)

series219.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- (* (* 27.0 b) a) (* (* (* y 9.0) z) t))
23.0ms	(* (* y 9.0) z)
23.0ms	(* (* 27.0 b) a)
38.0ms	(* (* (* y 9.0) z) t)

simplify2.4s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2620
1	368
0	140

prune744.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
5.2b	(* t (* z y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

17.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
39.0ms	(* 9.0 (* t (* z y)))
21.0ms	(* 27.0 (* a b))
20.0ms	(* t (* z y))

series232.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
37.0ms	(* 9.0 (* t (* z y)))
24.0ms	(* 27.0 (* a b))
47.0ms	(* t (* z y))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1254
1	313
0	126

prune618.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 27.0 b) a) (* (* y (* 9.0 z)) t))
0.2b	(* y (* 9.0 z))
0.2b	(* (* 27.0 b) a)
5.2b	(* (* y (* 9.0 z)) t)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

16.0ms	(- (* (* 27.0 b) a) (* (* y (* 9.0 z)) t))
14.0ms	(* y (* 9.0 z))
20.0ms	(* (* 27.0 b) a)
48.0ms	(* (* y (* 9.0 z)) t)

series272.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(- (* (* 27.0 b) a) (* (* y (* 9.0 z)) t))
39.0ms	(* y (* 9.0 z))
23.0ms	(* (* 27.0 b) a)
53.0ms	(* (* y (* 9.0 z)) t)

simplify2.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2198
1	360
0	138

prune729.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* t (* z y)))
0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
0.3b	(* (sqrt 27.0) (* a b))
5.2b	(* t (* z y))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

33.0ms	(* 9.0 (* t (* z y)))
43.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
16.0ms	(* (sqrt 27.0) (* a b))
15.0ms	(* t (* z y))

series301.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 9.0 (* t (* z y)))
147.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
64.0ms	(* (sqrt 27.0) (* a b))
38.0ms	(* t (* z y))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1493
1	318
0	129

prune568.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes1.9s

Accuracy

84.4% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.5b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	57
1	57
0	39

end0.0ms

sample1.6s

Algorithm

intervals

Results

997.0ms

11029×

body

valid