Details

sample229.0ms

Algorithm

intervals

Results

190.0ms

695×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
4	2206
3	663
2	197
1	58
0	19

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (fma a a a) a (fma (* a -3) (* b b) (* b b))) 4 (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.1b	(fma (fma a a a) a (fma (* a -3) (* b b) (* b b)))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.7b	(fma (* a -3) (* b b) (* b b))

rewrite1.0ms

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:

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

series437.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(fma (fma (fma a a a) a (fma (* a -3) (* b b) (* b b))) 4 (fma (fma a a (* b b)) (fma a a (* b b)) -1))
75.0ms	(fma (fma a a a) a (fma (* a -3) (* b b) (* b b)))
93.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
74.0ms	(fma (* a -3) (* b b) (* b b))

simplify4.8s

Counts

56 → 56

Iterations

Iter	Nodes
4	7957
3	1486
2	394
1	145
0	79

prune890.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize58.0ms

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)
0.7b	(fma (* a -3) (* b b) (* b b))

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)
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)
1.0ms	(fma (* a -3) (* b b) (* b b))

series494.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
126.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
129.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
86.0ms	(fma (* a -3) (* b b) (* b b))

simplify1.9s

Counts

56 → 56

Iterations

Iter	Nodes
4	3961
3	840
2	229
1	82
0	45

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize87.0ms

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)
0.7b	(fma (* a -3) (* b b) (* b b))

rewrite2.0ms

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:

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)
0.0ms	(fma (* a -3) (* b b) (* b b))

series458.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
119.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
120.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
110.0ms	(fma (* a -3) (* b b) (* b b))

simplify2.1s

Counts

56 → 56

Iterations

Iter	Nodes
4	3961
3	840
2	229
1	82
0	45

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize108.0ms

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)
0.7b	(fma (* a -3) (* b b) (* b b))

rewrite2.0ms

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:

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)
1.0ms	(fma (* a -3) (* b b) (* b b))

series362.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
84.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
112.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
76.0ms	(fma (* a -3) (* b b) (* b b))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
4	3961
3	840
2	229
1	82
0	45

prune1.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes242.0ms

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
2	14
1	14
0	13

end0.0ms

sample5.7s

Algorithm

intervals

Results

5.2s

20466×

body

valid