Details

sample106.0ms

Algorithm

intervals

Results

32.0ms	47×	body	1280	valid
17.0ms	147×	body	80	valid
16.0ms	34×	body	640	valid
6.0ms	17×	body	320	valid
2.0ms	11×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune55.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (cos y) z (* x (sin y)))
0.1b	(* x (sin y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

2.0ms	(fma (cos y) z (* x (sin y)))
27.0ms	(* x (sin y))

series277.0ms

Counts

2 → 6

Calls

2 calls:

187.0ms	(fma (cos y) z (* x (sin y)))
90.0ms	(* x (sin y))

simplify4.4s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
4	2397
3	738
2	250
1	109
0	58

prune533.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (* x (sin y)))) (cbrt (fma (cos y) z (* x (sin y)))))
0.6b	(cbrt (fma (cos y) z (* x (sin y))))
0.6b	(cbrt (fma (cos y) z (* x (sin y))))
0.6b	(cbrt (fma (cos y) z (* x (sin y))))

rewrite53.0ms

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:

34.0ms	(* (cbrt (fma (cos y) z (* x (sin y)))) (cbrt (fma (cos y) z (* x (sin y)))))
4.0ms	(cbrt (fma (cos y) z (* x (sin y))))
3.0ms	(cbrt (fma (cos y) z (* x (sin y))))
4.0ms	(cbrt (fma (cos y) z (* x (sin y))))

series2.5s

Counts

4 → 12

Calls

4 calls:

727.0ms	(* (cbrt (fma (cos y) z (* x (sin y)))) (cbrt (fma (cos y) z (* x (sin y)))))
592.0ms	(cbrt (fma (cos y) z (* x (sin y))))
585.0ms	(cbrt (fma (cos y) z (* x (sin y))))
570.0ms	(cbrt (fma (cos y) z (* x (sin y))))

simplify4.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	2418
2	665
1	238
0	103

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize190.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (* x (sin y))))
0.6b	(cbrt (fma (cos y) z (* x (sin y))))
0.6b	(cbrt (fma (cos y) z (* x (sin y))))
0.6b	(cbrt (fma (cos y) z (* x (sin y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (fma (cos y) z (* x (sin y))))
3.0ms	(cbrt (fma (cos y) z (* x (sin y))))
4.0ms	(cbrt (fma (cos y) z (* x (sin y))))
4.0ms	(cbrt (fma (cos y) z (* x (sin y))))

series2.4s

Counts

4 → 12

Calls

4 calls:

605.0ms	(cbrt (fma (cos y) z (* x (sin y))))
618.0ms	(cbrt (fma (cos y) z (* x (sin y))))
557.0ms	(cbrt (fma (cos y) z (* x (sin y))))
597.0ms	(cbrt (fma (cos y) z (* x (sin y))))

simplify5.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
4	3329
3	839
2	248
1	104
0	52

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (cos y) z (* (sqrt x) (* (sqrt x) (sin y))))
0.1b	(* (sqrt x) (* (sqrt x) (sin y)))
0.2b	(* (sqrt x) (sin y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-l`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 60

Calls

3 calls:

2.0ms	(fma (cos y) z (* (sqrt x) (* (sqrt x) (sin y))))
52.0ms	(* (sqrt x) (* (sqrt x) (sin y)))
39.0ms	(* (sqrt x) (sin y))

series447.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(fma (cos y) z (* (sqrt x) (* (sqrt x) (sin y))))
108.0ms	(* (sqrt x) (* (sqrt x) (sin y)))
168.0ms	(* (sqrt x) (sin y))

simplify5.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
3	2261
2	677
1	256
0	106

prune1.0s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes722.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	1524×	body	1280	valid
1.1s	1266×	body	640	valid
654.0ms	4232×	body	80	valid
257.0ms	640×	body	320	valid
87.0ms	338×	body	160	valid