Details

sample251.0ms

Algorithm

intervals

Results

105.0ms	104×	body	2560	valid
67.0ms	77×	body	1280	valid
30.0ms	274×	body	80	nan
18.0ms	35×	body	640	valid
7.0ms	17×	body	320	valid
5.0ms	20×	body	160	valid
0.0ms	3×	body	80	valid

simplify2.0s

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize22.0ms

Local error

Found 2 expressions with local error:

0.8b	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
0.0b	(fma -5 (* 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` `fma-udef`

Counts

2 → 22

Calls

2 calls:

Slowest

1.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
0.0ms	(fma -5 (* v v) 1)

series92.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

89.0ms	(fma -5 (* v v) 1)
3.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

simplify2.0s

Counts: 28 → 28

prune274.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.8b	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
0.0b	(fma -5 (* 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` `fma-udef`

Counts

2 → 22

Calls

2 calls:

Slowest

1.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
0.0ms	(fma -5 (* v v) 1)

series90.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

87.0ms	(fma -5 (* v v) 1)
3.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

simplify1.9s

Counts: 28 → 28

prune290.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))))
0.9b	(sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
0.9b	(sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
0.8b	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

rewrite25.0ms

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

18.0ms	(* (sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))))
2.0ms	(sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
2.0ms	(sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
2.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

25.0ms	(sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
19.0ms	(sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
6.0ms	(* (sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (sqrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))))
3.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

simplify2.3s

Counts: 107 → 107

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.8b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
1.0b	(cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
1.0b	(cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
1.0b	(* (cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -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 (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))))
1.0ms	(cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
1.0ms	(cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
1.0ms	(cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))

series678.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

194.0ms	(cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
169.0ms	(cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
168.0ms	(* (cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1)))))
147.0ms	(cbrt (acos (/ (fma -5 (* v v) 1) (fma v v -1))))

simplify1.9s

Counts: 97 → 97

prune639.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.8b

regimes48.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch1.0ms

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.8s	3013×	body	2560	valid
1.8s	2464×	body	1280	valid
942.0ms	8082×	body	80	nan
607.0ms	1227×	body	640	valid
291.0ms	635×	body	320	valid
135.0ms	453×	body	160	valid
26.0ms	208×	body	80	valid