Details

sample118.0ms

Algorithm

intervals

Results

92.0ms

592×

body

valid

simplify1.2s

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 22

Calls

2 calls:

Slowest

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

series221.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

120.0ms	(fma (* 4 b) b (fma (fma b b (* a a)) (fma b b (* a a)) -1))
101.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify972.0ms

Counts: 28 → 28

prune280.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (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))
0.2b	(cbrt (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)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`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×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

Slowest

2.0ms	(cbrt (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))
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)

series777.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

239.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
224.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
211.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
103.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify5.2s

Counts: 65 → 65

prune908.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (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))
0.2b	(cbrt (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))

rewrite3.0ms

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 (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))
1.0ms	(cbrt (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))

series916.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

249.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
241.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
217.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
210.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

simplify1.8s

Counts: 68 → 68

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize84.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 55

Calls

4 calls:

Slowest

17.0ms	(cbrt (* (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
5.0ms	(cbrt (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))
1.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

series833.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

226.0ms	(cbrt (* (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
218.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
199.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
189.0ms	(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))

simplify1.7s

Counts: 67 → 67

prune881.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes308.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.4s

20613×

body

valid