Details

sample134.0ms

Algorithm

intervals

Results

105.0ms

690×

body

valid

simplify4.5s

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

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

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:

Slowest

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

series426.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

153.0ms	(fma (* a a) a (* a a))
126.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
82.0ms	(fma b (fma (* a b) -3 b) (fma (* a a) a (* a a)))
65.0ms	(fma (* a b) -3 b)

simplify2.4s

Counts: 56 → 56

prune903.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 47

Calls

4 calls:

Slowest

7.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

series595.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

224.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
141.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
122.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
109.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify4.7s

Counts: 59 → 59

prune941.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

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

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:

Slowest

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

series393.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
96.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
95.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
95.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify4.3s

Counts: 56 → 56

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize96.0ms

Local error

Found 4 expressions with local error:

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

Slowest

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

series480.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

143.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
122.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
110.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
104.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify4.2s

Counts: 56 → 56

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes244.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

4.7s

20263×

body

valid