Details

sample243.0ms

Algorithm

intervals

Results

93.0ms	94×	body	2560	valid
52.0ms	68×	body	1280	valid
41.0ms	48×	body	640	valid
25.0ms	231×	body	80	nan
10.0ms	26×	body	320	valid
3.0ms	10×	body	160	valid
1.0ms	10×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2053
4	491
3	180
2	67
1	26
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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:

5.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
3.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify1.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
3	1188
2	395
1	154
0	86

prune247.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* v v) (* v v) (* v v))
0.8b	(acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))

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:

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

series130.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(fma (* v v) (* v v) (* v v))
5.0ms	(acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))

simplify4.5s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
5	4779
4	1557
3	364
2	120
1	61
0	38

prune146.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* v v) (* v v) (* v v))
0.0b	(log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1)))
0.0b	(expm1 (log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))))
0.8b	(acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

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

series457.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(fma (* v v) (* v v) (* v v))
112.0ms	(log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1)))
195.0ms	(expm1 (log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))))
3.0ms	(acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))

simplify5.1s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
5	4930
4	1474
3	396
2	150
1	91
0	62

prune288.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1)))))
0.0b	(expm1 (expm1 (log1p (log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))))))
0.0b	(log1p (log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))))
0.8b	(acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

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

series875.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(expm1 (log1p (log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1)))))
393.0ms	(expm1 (expm1 (log1p (log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))))))
202.0ms	(log1p (log1p (acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))))
6.0ms	(acos (fma (fma (* v v) (* v v) (* v v)) 4 -1))

simplify5.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
6	4337
5	1263
4	414
3	183
2	120
1	91
0	62

prune308.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

regimes79.0ms

Accuracy

0% (0.0b remaining)

Error of 0.8b against oracle of 0.8b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample7.7s

Algorithm

intervals

Results

2.9s	3001×	body	2560	valid
2.2s	2450×	body	1280	valid
1.2s	7626×	body	80	nan
735.0ms	1236×	body	640	valid
298.0ms	658×	body	320	valid
103.0ms	439×	body	160	valid
29.0ms	216×	body	80	valid