Details

sample78.0ms

Algorithm

intervals

Results

32.0ms	49×	body	1280	valid
14.0ms	43×	body	640	valid
12.0ms	143×	body	80	valid
3.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid

simplify29.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:

11.0ms	(- (* x (cos y)) (* z (sin y)))
9.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series221.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(- (* x (cos y)) (* z (sin y)))
44.0ms	(* x (cos y))
53.0ms	(* z (sin y))

simplify2.0s

Counts: 57 → 57

prune185.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)

rewrite16.0ms

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:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt z) (cbrt z))
280.0ms	(cbrt z)
317.0ms	(cbrt z)
355.0ms	(cbrt z)

simplify902.0ms

Counts: 85 → 85

prune465.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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×	`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:

18.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series649.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
187.0ms	(cbrt (sin y))
150.0ms	(cbrt (sin y))
136.0ms	(cbrt (sin y))

simplify1.1s

Counts: 85 → 85

prune800.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite11.0ms

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:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
8.0ms	(cbrt (* (cbrt z) (cbrt z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt z)
257.0ms	(cbrt z)
276.0ms	(cbrt z)
443.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify647.0ms

Counts: 54 → 54

prune388.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify489.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.8s	1524×	body	1280	valid
849.0ms	1272×	body	640	valid
495.0ms	4285×	body	80	valid
232.0ms	608×	body	320	valid
164.0ms	311×	body	160	valid