Details

sample179.0ms

Algorithm

intervals

Results

125.0ms

558×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3800
3	809
2	221
1	67
0	28

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.5b	(* (* x 18.0) y)
3.8b	(* (* (* x 18.0) y) z)
5.4b	(* t (* (* (* x 18.0) y) z))

rewrite263.0ms

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×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

27.0ms	(* (* 27.0 j) k)
19.0ms	(* (* x 18.0) y)
44.0ms	(* (* (* x 18.0) y) z)
171.0ms	(* t (* (* (* x 18.0) y) z))

series227.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* 27.0 j) k)
39.0ms	(* (* x 18.0) y)
49.0ms	(* (* (* x 18.0) y) z)
96.0ms	(* t (* (* (* x 18.0) y) z))

simplify2.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2796
1	377
0	146

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.3b	(* x (* 18.0 y))
3.8b	(* (* x (* 18.0 y)) z)
5.4b	(* t (* (* x (* 18.0 y)) z))

rewrite637.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

16.0ms	(* (* 27.0 j) k)
13.0ms	(* x (* 18.0 y))
37.0ms	(* (* x (* 18.0 y)) z)
569.0ms	(* t (* (* x (* 18.0 y)) z))

series177.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* 27.0 j) k)
38.0ms	(* x (* 18.0 y))
35.0ms	(* (* x (* 18.0 y)) z)
66.0ms	(* t (* (* x (* 18.0 y)) z))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2130
1	370
0	144

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.1b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.2b	(* 18.0 (* y x))
3.8b	(* (* 18.0 (* y x)) z)
5.4b	(* t (* (* 18.0 (* y x)) z))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

17.0ms	(* (* 27.0 j) k)
26.0ms	(* 18.0 (* y x))
37.0ms	(* (* 18.0 (* y x)) z)
136.0ms	(* t (* (* 18.0 (* y x)) z))

series173.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* 27.0 j) k)
24.0ms	(* 18.0 (* y x))
48.0ms	(* (* 18.0 (* y x)) z)
66.0ms	(* t (* (* 18.0 (* y x)) z))

simplify1.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	2160
1	370
0	144

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize95.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.3b	(* x (* 18.0 y))
4.9b	(* t (* x (* 18.0 y)))
6.4b	(* (* t (* x (* 18.0 y))) z)

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

28.0ms	(* (* 27.0 j) k)
26.0ms	(* x (* 18.0 y))
67.0ms	(* t (* x (* 18.0 y)))
131.0ms	(* (* t (* x (* 18.0 y))) z)

series227.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* 27.0 j) k)
32.0ms	(* x (* 18.0 y))
54.0ms	(* t (* x (* 18.0 y)))
98.0ms	(* (* t (* x (* 18.0 y))) z)

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	2039
1	370
0	145

prune931.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.9s

Accuracy

61.1% (1.8b remaining)

Error of 2.0b against oracle of 0.2b and baseline of 4.8b

bsearch444.0ms

Steps

Iters	Range		Point
6	8.646108284717541e-44	4.72995033845211e-43	1.552559671841611e-43
10	-6.416625192506261e-93	-1.3493281182571695e-107	-9.364786979599531e-95

simplify9.0ms

Iterations

Iter	Nodes
done	50
1	50
0	36

end0.0ms

sample6.7s

Algorithm

intervals

Results

5.5s

16267×

body

valid