Details

sample128.0ms

Algorithm

intervals

Results

104.0ms

659×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma a (* a (- 1 a)) (* (+ a 3) (* b b))) 4 (fma (fma a a (* b b)) (fma a a (* b b)) -1))
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))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma (fma a (* a (- 1 a)) (* (+ a 3) (* b b))) 4 (fma (fma a a (* b b)) (fma a a (* b b)) -1))
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)
56.0ms	(* (+ a 3) (* b b))

series364.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(fma (fma a (* a (- 1 a)) (* (+ a 3) (* b b))) 4 (fma (fma a a (* b b)) (fma a a (* b b)) -1))
50.0ms	(fma a (* a (- 1 a)) (* (+ a 3) (* b b)))
101.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
75.0ms	(* (+ a 3) (* b b))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	2007
3	2007
2	763
1	243
0	106

prune868.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
30.0ms	(* (+ a 3) (* b b))
33.0ms	(* (+ a 3) (* b b))
43.0ms	(* (+ a 3) (* b b))

series264.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
51.0ms	(* (+ a 3) (* b b))
73.0ms	(* (+ a 3) (* b b))
53.0ms	(* (+ a 3) (* b b))

simplify1.0s

Counts

98 → 98

Iterations

Iter	Nodes
done	2000
3	2000
2	587
1	182
0	71

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
42.0ms	(* (+ a 3) (* b b))
31.0ms	(* (+ a 3) (* b b))
33.0ms	(* (+ a 3) (* b b))

series229.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
42.0ms	(* (+ a 3) (* b b))
42.0ms	(* (+ a 3) (* b b))
46.0ms	(* (+ a 3) (* b b))

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	2000
3	2000
2	587
1	182
0	71

prune2.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

localize112.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (+ a 3) (* b b))
0.4b	(* (+ a 3) (* b b))
2.1b	(log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1))
2.4b	(expm1 (log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

33.0ms	(* (+ a 3) (* b b))
27.0ms	(* (+ a 3) (* b b))
0.0ms	(log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0ms	(expm1 (log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (+ a 3) (* b b))
70.0ms	(* (+ a 3) (* b b))
140.0ms	(log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1))
186.0ms	(expm1 (log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

simplify1.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	2000
3	2000
2	597
1	216
0	89

prune2.3s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.2b

regimes291.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample4.6s

Algorithm

intervals

Results

4.1s

20389×

body

valid