Details

sample230.0ms

Algorithm

intervals

Results

89.0ms	96×	body	2560	valid
58.0ms	84×	body	1280	valid
39.0ms	245×	body	80	nan
17.0ms	35×	body	640	valid
9.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid
1.0ms	7×	body	80	valid

simplify1.9s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize28.0ms

Local error

Found 2 expressions with local error:

0.7b	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
0.0b	(/ (fma -5 (* v v) 1) (fma v v -1))

rewrite5.0ms

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

4.0ms	(/ (fma -5 (* v v) 1) (fma v v -1))
1.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

105.0ms	(/ (fma -5 (* v v) 1) (fma v v -1))
3.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

simplify1.7s

Counts: 47 → 47

prune400.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize46.0ms

Local error

Found 3 expressions with local error:

0.8b	(asin (/ (fma -5 (* v v) 1) (fma v v -1)))
0.0b	(- (/ PI 2) (asin (/ (fma -5 (* v v) 1) (fma v v -1))))
0.0b	(/ (fma -5 (* v v) 1) (fma v v -1))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
52×	`add-cube-cbrt`
46×	`times-frac`
39×	`prod-diff`
13×	`fma-neg`
5×	`add-cbrt-cube` `add-exp-log` `div-inv` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`asin-acos` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--` `associate--r-`

Counts

3 → 112

Calls

3 calls:

Slowest

31.0ms	(- (/ PI 2) (asin (/ (fma -5 (* v v) 1) (fma v v -1))))
9.0ms	(/ (fma -5 (* v v) 1) (fma v v -1))
2.0ms	(asin (/ (fma -5 (* v v) 1) (fma v v -1)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

98.0ms	(/ (fma -5 (* v v) 1) (fma v v -1))
50.0ms	(- (/ PI 2) (asin (/ (fma -5 (* v v) 1) (fma v v -1))))
5.0ms	(asin (/ (fma -5 (* v v) 1) (fma v v -1)))

simplify1.1s

Counts: 121 → 121

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 2 expressions with local error:

0.7b	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))
0.0b	(fma (* v v) (* v v) (* v v))

rewrite2.0ms

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 4 (fma (* v v) (* v v) (* v v)) -1))
0.0ms	(fma (* v v) (* v v) (* v v))

series166.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

156.0ms	(fma (* v v) (* v v) (* v v))
10.0ms	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

simplify3.9s

Counts: 28 → 28

prune327.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(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))))
0.0b	(fma (* v v) (* v v) (* v v))
0.0b	(log1p (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

Slowest

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

series474.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

185.0ms	(expm1 (log1p (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))))
185.0ms	(fma (* v v) (* v v) (* v v))
101.0ms	(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))

simplify1.8s

Counts: 58 → 58

prune623.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

regimes123.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch1.0ms

end0.0ms

sample8.2s

Algorithm

intervals

Results

3.0s	2997×	body	2560	valid
2.5s	2520×	body	1280	valid
1.3s	8216×	body	80	nan
658.0ms	1225×	body	640	valid
262.0ms	629×	body	320	valid
168.0ms	416×	body	160	valid
47.0ms	213×	body	80	valid