Details

sample180.0ms

Algorithm

intervals

Results

66.0ms	95×	body	2560	valid
38.0ms	78×	body	1280	valid
37.0ms	259×	body	80	nan
15.0ms	41×	body	640	valid
7.0ms	27×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	8×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (* -5 v) v 1) (fma v v -1))
0.4b	(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)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
4.0ms	(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

prune269.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (* -5 v) v 1) (fma v v -1))
0.5b	(asin (/ (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×	`cbrt-undiv` `asin-acos` `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	(asin (/ (fma (* -5 v) v 1) (fma v v -1)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
2.0ms	(asin (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify1.9s

Counts

47 → 47

Iterations

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

prune296.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (fma (* -5 v) v 1) (/ 1 (fma v v -1)))
0.4b	(acos (* (fma (* -5 v) v 1) (/ 1 (fma v v -1))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `times-frac` `add-exp-log`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp`
3×	`associate-l` `unswap-sqr`
2×	`expm1-log1p-u` `div-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 50

Calls

2 calls:

15.0ms	(* (fma (* -5 v) v 1) (/ 1 (fma v v -1)))
1.0ms	(acos (* (fma (* -5 v) v 1) (/ 1 (fma v v -1))))

series95.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* (fma (* -5 v) v 1) (/ 1 (fma v v -1)))
3.0ms	(acos (* (fma (* -5 v) v 1) (/ 1 (fma v v -1))))

simplify1.9s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	1977
2	654
1	246
0	111

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

22.0ms	(* (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))))
2.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))

series683.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
164.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
166.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
155.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))

simplify3.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
4	3972
3	970
2	295
1	118
0	60

prune475.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

regimes55.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.4s	2950×	body	2560	valid
1.2s	2551×	body	1280	valid
816.0ms	1256×	body	640	valid
637.0ms	7787×	body	80	nan
139.0ms	602×	body	320	valid
66.0ms	435×	body	160	valid
17.0ms	206×	body	80	valid