Details

sample231.0ms

Algorithm

intervals

Results

115.0ms

558×

body

valid

simplify10.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4998
4	2295
3	723
2	217
1	67
0	28

prune100.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize266.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.3b	(* 27.0 (* k j))
5.3b	(* (* t x) (* y 18.0))
6.4b	(* z (* (* t x) (* y 18.0)))

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 87

Calls

4 calls:

2.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
50.0ms	(* 27.0 (* k j))
110.0ms	(* (* t x) (* y 18.0))
244.0ms	(* z (* (* t x) (* y 18.0)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
45.0ms	(* 27.0 (* k j))
60.0ms	(* (* t x) (* y 18.0))
127.0ms	(* z (* (* t x) (* y 18.0)))

simplify3.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1429
1	361
0	150

prune2.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize247.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.3b	(* 27.0 (* k j))
5.1b	(* z (* t x))
7.3b	(* (* z (* t x)) (* y 18.0))

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 84

Calls

4 calls:

2.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
64.0ms	(* 27.0 (* k j))
90.0ms	(* z (* t x))
251.0ms	(* (* z (* t x)) (* y 18.0))

series453.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
57.0ms	(* 27.0 (* k j))
62.0ms	(* z (* t x))
114.0ms	(* (* z (* t x)) (* y 18.0))

simplify4.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1323
1	358
0	147

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize248.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.3b	(* 27.0 (* k j))
4.4b	(* (* z t) x)
7.3b	(* (* (* z t) x) (* y 18.0))

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 84

Calls

4 calls:

2.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
70.0ms	(* 27.0 (* k j))
85.0ms	(* (* z t) x)
279.0ms	(* (* (* z t) x) (* y 18.0))

series429.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
47.0ms	(* 27.0 (* k j))
55.0ms	(* (* z t) x)
124.0ms	(* (* (* z t) x) (* y 18.0))

simplify3.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5004
2	1342
1	369
0	150

prune2.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize227.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (* z t) x) y) 18.0)
0.3b	(* 27.0 (* k j))
4.4b	(* (* z t) x)
7.2b	(* (* (* z t) x) y)

rewrite1.1s

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:

688.0ms	(* (* (* (* z t) x) y) 18.0)
73.0ms	(* 27.0 (* k j))
93.0ms	(* (* z t) x)
218.0ms	(* (* (* z t) x) y)

series263.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* (* (* z t) x) y) 18.0)
27.0ms	(* 27.0 (* k j))
41.0ms	(* (* z t) x)
111.0ms	(* (* (* z t) x) y)

simplify3.6s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1331
1	364
0	146

prune2.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes8.8s

Accuracy

89.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 4.9b

bsearch6.0ms

simplify37.0ms

Iterations

Iter	Nodes
done	67
1	67
0	45

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.8s

16267×

body

valid