Details

sample124.0ms

Algorithm

intervals

Results

103.0ms

638×

body

valid

simplify959.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
4	2005
3	726
2	183
1	56
0	18

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- 1 a))
0.1b	(fma a (* a (- 1 a)) (* (+ a 3) (* b b)))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.4b	(* (+ a 3) (* b b))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `associate-r/` `*-commutative` `fma-udef` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 95

Calls

4 calls:

18.0ms	(* a (- 1 a))
0.0ms	(fma a (* a (- 1 a)) (* (+ a 3) (* b b)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
30.0ms	(* (+ a 3) (* b b))

series306.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* a (- 1 a))
72.0ms	(fma a (* a (- 1 a)) (* (+ a 3) (* b b)))
93.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
64.0ms	(* (+ a 3) (* b b))

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	2000
3	2000
2	1094
1	419
0	179

prune548.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ a 3) b)
0.1b	(fma a (* a (- 1 a)) (* (* (+ a 3) b) b))
0.1b	(* (* (+ a 3) b) b)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-*l/`
5×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `*-commutative` `flip-+` `fma-udef`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

16.0ms	(* (+ a 3) b)
0.0ms	(fma a (* a (- 1 a)) (* (* (+ a 3) b) b))
56.0ms	(* (* (+ a 3) b) b)
1.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

series287.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ a 3) b)
72.0ms	(fma a (* a (- 1 a)) (* (* (+ a 3) b) b))
54.0ms	(* (* (+ a 3) b) b)
111.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

simplify1.0s

Counts

81 → 81

Iterations

Iter	Nodes
done	2032
3	2032
2	800
1	267
0	110

prune458.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

8.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

series522.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
80.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
89.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
96.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

simplify986.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2002
4	2002
3	802
2	313
1	142
0	71

prune592.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
1.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
1.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

series413.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
108.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
94.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
116.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)

simplify823.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	2002
4	2002
3	541
2	133
1	50
0	27

prune492.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.1b

regimes181.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample4.7s

Algorithm

intervals

Results

4.3s

20446×

body

valid