Details

sample86.0ms

Algorithm

intervals

Results

25.0ms	40×	body	1280	valid
20.0ms	40×	body	640	valid
15.0ms	147×	body	80	valid
8.0ms	23×	body	320	valid
1.0ms	6×	body	160	valid

simplify19.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

11.0ms	(+ (* x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (* x (cos y)) (* z (sin y)))
46.0ms	(* z (sin y))
67.0ms	(* x (cos y))

simplify1.1s

Counts: 56 → 56

prune218.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite46.0ms

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:

35.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series613.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
131.0ms	(cbrt (sin y))
147.0ms	(cbrt (sin y))
175.0ms	(cbrt (sin y))

simplify1.1s

Counts: 85 → 85

prune346.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (cbrt (sin y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
4.0ms	(cbrt (cbrt (sin y)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (sin y))
159.0ms	(cbrt (sin y))
165.0ms	(cbrt (sin y))
142.0ms	(cbrt (cbrt (sin y)))

simplify2.7s

Counts: 59 → 59

prune356.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))

rewrite38.0ms

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:

23.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series742.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
201.0ms	(cbrt (* z (sin y)))
154.0ms	(cbrt (* z (sin y)))
176.0ms	(cbrt (* z (sin y)))

simplify1.4s

Counts: 70 → 70

prune336.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify194.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.7s	1488×	body	1280	valid
769.0ms	642×	body	320	valid
649.0ms	1247×	body	640	valid
582.0ms	4293×	body	80	valid
72.0ms	330×	body	160	valid