Details

sample117.0ms

Algorithm

intervals

Results

40.0ms	44×	body	1280	valid
26.0ms	45×	body	640	valid
18.0ms	136×	body	80	valid
8.0ms	19×	body	320	valid
3.0ms	12×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune50.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (cos y) z (* x (sin y)))
14.0ms	(* x (sin y))

series203.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(fma (cos y) z (* x (sin y)))
72.0ms	(* x (sin y))

simplify2.8s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	4604
3	1246
2	320
1	107
0	56

prune223.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite30.0ms

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` `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 → 81

Calls

4 calls:

21.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series624.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
136.0ms	(cbrt (sin y))
184.0ms	(cbrt (sin y))
153.0ms	(cbrt (sin y))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	717
1	182
0	79

prune679.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite28.0ms

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` `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 → 81

Calls

4 calls:

21.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series600.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
142.0ms	(cbrt (sin y))
134.0ms	(cbrt (sin y))
128.0ms	(cbrt (sin y))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	717
1	182
0	79

prune691.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

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))))

rewrite21.0ms

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` `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 → 81

Calls

4 calls:

14.0ms	(* (cbrt (fma (cos y) z (* x (sin y)))) (cbrt (fma (cos y) z (* x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (* x (sin y))))
1.0ms	(cbrt (fma (cos y) z (* x (sin y))))
1.0ms	(cbrt (fma (cos y) z (* x (sin y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt (fma (cos y) z (* x (sin y)))) (cbrt (fma (cos y) z (* x (sin y)))))
285.0ms	(cbrt (fma (cos y) z (* x (sin y))))
320.0ms	(cbrt (fma (cos y) z (* x (sin y))))
323.0ms	(cbrt (fma (cos y) z (* x (sin y))))

simplify4.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4945
2	874
1	239
0	101

prune630.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	1478×	body	1280	valid
825.0ms	1303×	body	640	valid
514.0ms	283×	body	160	valid
495.0ms	4307×	body	80	valid
370.0ms	629×	body	320	valid