Details

sample155.0ms

Algorithm

intervals

Results

127.0ms

592×

body

valid

simplify869.0ms

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
0.0b	(+ (* -12 a) 4)
0.0b	(fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.0b	(fma (* b b) (+ (* -12 a) 4) (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u`
3×	`fma-udef`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

4 → 48

Calls

4 calls:

Slowest

11.0ms	(+ (* -12 a) 4)
1.0ms	(fma (* b b) (+ (* -12 a) 4) (fma (* a a) (fma 4 a 4) (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 (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))

series456.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(fma (* b b) (+ (* -12 a) 4) (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
141.0ms	(fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))
100.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
62.0ms	(+ (* -12 a) 4)

simplify807.0ms

Counts: 60 → 60

prune818.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(* (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`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`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

8.0ms	(* (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series919.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

238.0ms	(* (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
236.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
230.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
215.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify2.0s

Counts: 97 → 97

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

Slowest

1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series881.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

271.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
224.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
198.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
189.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify657.0ms

Counts: 68 → 68

prune1.1s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

Slowest

1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
1.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series933.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

271.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
240.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
234.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
188.0ms	(cbrt (fma (* a a) (fma 4 a 4) (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify809.0ms

Counts: 68 → 68

prune1.2s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.1b

regimes336.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

5.0s

20613×

body

valid