Details

sample105.0ms

Algorithm

intervals

Results

32.0ms	129×	body	80	valid
29.0ms	48×	body	1280	valid
17.0ms	40×	body	640	valid
8.0ms	28×	body	320	valid
3.0ms	11×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite60.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

22.0ms	(- (* x (cos y)) (* z (sin y)))
21.0ms	(* z (sin y))
15.0ms	(* x (cos y))

series227.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (* x (cos y)) (* z (sin y)))
64.0ms	(* z (sin y))
68.0ms	(* x (cos y))

simplify1.1s

Counts: 57 → 57

prune202.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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:

31.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series997.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
190.0ms	(cbrt (sin y))
518.0ms	(cbrt (sin y))
137.0ms	(cbrt (sin y))

simplify1.1s

Counts: 85 → 85

prune378.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.7b	(cbrt (* z (sin y)))
8.7b	(cbrt (* z (sin y)))
8.7b	(cbrt (* z (sin y)))

rewrite57.0ms

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:

39.0ms	(* (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)))

series882.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
220.0ms	(cbrt (* z (sin y)))
215.0ms	(cbrt (* z (sin y)))
197.0ms	(cbrt (* z (sin y)))

simplify1.5s

Counts: 70 → 70

prune448.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sin y))
0.6b	(cbrt z)
8.7b	(cbrt (* z (sin y)))
8.7b	(cbrt (* z (sin y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

3.0ms	(cbrt (sin y))
2.0ms	(cbrt z)
10.0ms	(cbrt (* z (sin y)))
10.0ms	(cbrt (* z (sin y)))

series911.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (sin y))
285.0ms	(cbrt z)
204.0ms	(cbrt (* z (sin y)))
256.0ms	(cbrt (* z (sin y)))

simplify1.9s

Counts: 52 → 52

prune335.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify115.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.8s	1478×	body	1280	valid
795.0ms	1298×	body	640	valid
633.0ms	4321×	body	80	valid
199.0ms	599×	body	320	valid
80.0ms	304×	body	160	valid