Details

sample221.0ms

Algorithm

intervals

Results

91.0ms	109×	body	2560	valid
43.0ms	284×	body	80	nan
43.0ms	71×	body	1280	valid
20.0ms	40×	body	640	valid
7.0ms	20×	body	320	valid
2.0ms	10×	body	160	valid
1.0ms	6×	body	80	valid

simplify1.9s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 2 expressions with local error:

0.5b	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
0.0b	(/ (fma -5 (* v v) 1) (fma v v -1))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 41

Calls

2 calls:

Slowest

8.0ms	(/ (fma -5 (* v v) 1) (fma v v -1))
2.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

92.0ms	(/ (fma -5 (* v v) 1) (fma v v -1))
4.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

simplify1.7s

Counts: 47 → 47

prune483.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 1 expressions with local error:

0.5b	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`acos-asin` `add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

1.0ms

(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

series3.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

3.0ms

(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

simplify4.0s

Counts: 14 → 14

prune152.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 2 expressions with local error:

0.5b	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))
0.0b	(expm1 (log1p (acos (fma 4 (fma (* v v) (* v v) (* v v)) -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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `expm1-log1p` `expm1-udef`

Counts

2 → 23

Calls

2 calls:

Slowest

1.0ms	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))
0.0ms	(expm1 (log1p (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))))

series133.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

130.0ms	(expm1 (log1p (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))))
3.0ms	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

simplify1.2s

Counts: 29 → 29

prune292.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))) (sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))))
1.0b	(sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))
1.0b	(sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))
0.5b	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

Slowest

16.0ms	(* (sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))) (sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))))
1.0ms	(sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))
1.0ms	(sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))
1.0ms	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

series59.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

27.0ms	(sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))
23.0ms	(sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))
6.0ms	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))
3.0ms	(* (sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))) (sqrt (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))))

simplify2.9s

Counts: 107 → 107

prune930.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

regimes107.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.7b and baseline of 0.7b

bsearch1.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.8s	3045×	body	2560	valid
1.8s	2497×	body	1280	valid
913.0ms	8161×	body	80	nan
659.0ms	1216×	body	640	valid
229.0ms	606×	body	320	valid
135.0ms	449×	body	160	valid
24.0ms	187×	body	80	valid