Details

sample161.0ms

Algorithm

intervals

Results

73.0ms

486×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

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

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.2b	(* (* x 18.0) y)
4.2b	(* (* (* x 18.0) y) z)
5.2b	(* t (* (* (* x 18.0) y) z))

rewrite305.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

28.0ms	(* (* 27.0 j) k)
27.0ms	(* (* x 18.0) y)
71.0ms	(* (* (* x 18.0) y) z)
174.0ms	(* t (* (* (* x 18.0) y) z))

series181.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* 27.0 j) k)
27.0ms	(* (* x 18.0) y)
52.0ms	(* (* (* x 18.0) y) z)
69.0ms	(* t (* (* (* x 18.0) y) z))

simplify2.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2803
1	374
0	142

prune899.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
0.2b	(* (* 27.0 j) k)
6.0b	(* (* x 18.0) (* y t))
6.5b	(* z (* (* x 18.0) (* y t)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
18.0ms	(* (* 27.0 j) k)
23.0ms	(* (* x 18.0) (* y t))
113.0ms	(* z (* (* x 18.0) (* y t)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
23.0ms	(* (* 27.0 j) k)
47.0ms	(* (* x 18.0) (* y t))
73.0ms	(* z (* (* x 18.0) (* y t)))

simplify1.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1927
1	381
0	148

prune942.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y 18.0) t)
0.2b	(* (* 27.0 j) k)
5.9b	(* x (* (* y 18.0) t))
6.5b	(* z (* x (* (* y 18.0) t)))

rewrite230.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

27.0ms	(* (* y 18.0) t)
22.0ms	(* (* 27.0 j) k)
39.0ms	(* x (* (* y 18.0) t))
139.0ms	(* z (* x (* (* y 18.0) t)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* y 18.0) t)
23.0ms	(* (* 27.0 j) k)
31.0ms	(* x (* (* y 18.0) t))
65.0ms	(* z (* x (* (* y 18.0) t)))

simplify1.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2116
1	365
0	142

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
0.2b	(* (* 27.0 j) k)
3.7b	(* (* t x) (* y 18.0))
6.5b	(* z (* (* t x) (* y 18.0)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
14.0ms	(* (* 27.0 j) k)
43.0ms	(* (* t x) (* y 18.0))
81.0ms	(* z (* (* t x) (* y 18.0)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
22.0ms	(* (* 27.0 j) k)
50.0ms	(* (* t x) (* y 18.0))
71.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2037
1	376
0	148

prune831.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes1.6s

Accuracy

-0.2% (4.5b remaining)

Error of 4.6b against oracle of 0.1b and baseline of 4.6b

bsearch342.0ms

Steps

Iters	Range		Point
8	5.121207196132778e-136	3.336337144745403e-132	2.0600579511316957e-135
4	-2.078126409210904e-107	-1.1720880040676156e-107	-1.6326742795728528e-107

simplify9.0ms

Iterations

Iter	Nodes
done	57
1	57
0	40

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.7s

16234×

body

valid