Details

sample115.0ms

Algorithm

intervals

Results

44.0ms	49×	body	1280	valid
24.0ms	41×	body	640	valid
17.0ms	140×	body	80	valid
5.0ms	12×	body	320	valid
4.0ms	14×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))

series199.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(fma (cos y) z (* x (sin y)))
72.0ms	(* x (sin y))

simplify2.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
4	2388
3	737
2	253
1	107
0	56

prune254.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite15.0ms

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:

10.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (cbrt x) (cbrt x))
310.0ms	(cbrt x)
277.0ms	(cbrt x)
239.0ms	(cbrt x)

simplify3.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4108
3	1072
2	382
1	140
0	65

prune567.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt x)
310.0ms	(cbrt x)
336.0ms	(cbrt x)
287.0ms	(cbrt x)

simplify2.6s

Counts

64 → 64

Iterations

Iter	Nodes
done	5054
6	3384
5	991
4	413
3	169
2	96
1	46
0	26

prune562.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize105.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series989.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt x)
237.0ms	(cbrt x)
261.0ms	(cbrt x)
257.0ms	(cbrt x)

simplify2.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5054
6	3384
5	991
4	413
3	169
2	96
1	46
0	26

prune439.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes323.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	1490×	body	1280	valid
1.2s	1301×	body	640	valid
842.0ms	4234×	body	80	valid
194.0ms	647×	body	320	valid
66.0ms	328×	body	160	valid