Details

sample67.0ms

Algorithm

intervals

Results

20.0ms	183×	body	80	valid
18.0ms	35×	body	1280	valid
9.0ms	24×	body	640	valid
3.0ms	11×	body	320	valid
0.0ms	3×	body	160	valid

simplify172.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

74.0ms	(- (+ x (cos y)) (* z (sin y)))
14.0ms	(* z (sin y))

series145.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(- (+ x (cos y)) (* z (sin y)))
73.0ms	(* z (sin y))

simplify1.1s

Counts: 38 → 38

prune121.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

24.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt z) (cbrt z))
301.0ms	(cbrt z)
278.0ms	(cbrt z)
263.0ms	(cbrt z)

simplify985.0ms

Counts: 85 → 85

prune420.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0b	(cbrt (* z (sin y)))
9.0b	(cbrt (* z (sin y)))
9.0b	(cbrt (* z (sin y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

33.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series775.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
177.0ms	(cbrt (* z (sin y)))
183.0ms	(cbrt (* z (sin y)))
193.0ms	(cbrt (* z (sin y)))

simplify1.2s

Counts: 70 → 70

prune329.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt (* (cbrt z) (cbrt z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

2.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)
9.0ms	(cbrt (* (cbrt z) (cbrt z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt z)
308.0ms	(cbrt z)
310.0ms	(cbrt z)
501.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify721.0ms

Counts: 54 → 54

prune240.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify169.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	5597×	body	80	valid
822.0ms	1019×	body	1280	valid
412.0ms	795×	body	640	valid
120.0ms	393×	body	320	valid
39.0ms	195×	body	160	valid
1.0ms	1×	body	2560	valid