Details

sample56.0ms

Algorithm

intervals

Results

20.0ms	56×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	128×	body	80	valid
4.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid

simplify21.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize21.0ms

Local error

Found 3 expressions with local error:

3.7b	(- (cbrt (+ x 1)) (cbrt x))
0.6b	(cbrt x)
0.3b	(cbrt (+ x 1))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 102

Calls

3 calls:

Slowest

75.0ms	(- (cbrt (+ x 1)) (cbrt x))
5.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series472.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

297.0ms	(cbrt x)
137.0ms	(- (cbrt (+ x 1)) (cbrt x))
38.0ms	(cbrt (+ x 1))

simplify1.1s

Counts: 111 → 111

prune917.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.3b	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
0.3b	(cbrt (+ 1 x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`cbrt-prod`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
6×	`pow1` `associate-r` `associate-l` `add-exp-log`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

Slowest

56.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
2.0ms	(cbrt (+ 1 x))
2.0ms	(cbrt x)
1.0ms	(cbrt x)

series772.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

266.0ms	(cbrt x)
264.0ms	(cbrt x)
178.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
64.0ms	(cbrt (+ 1 x))

simplify2.4s

Counts: 89 → 89

prune956.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.3b	(* (cbrt x) (+ (cbrt x) (* (* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x)))) (cbrt (cbrt (+ 1 x))))))
0.3b	(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-prod`
43×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
24×	`cbrt-div`
21×	`add-cube-cbrt`
16×	`associate-l`
13×	`pow1` `associate-r`
12×	`swap-sqr`
11×	`unswap-sqr`
8×	`pow1/3` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`distribute-lft-out`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus`

Counts

4 → 127

Calls

4 calls:

Slowest

32.0ms	(* (cbrt x) (+ (cbrt x) (* (* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x)))) (cbrt (cbrt (+ 1 x))))))
24.0ms	(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series724.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

299.0ms	(cbrt x)
266.0ms	(cbrt x)
116.0ms	(* (cbrt x) (+ (cbrt x) (* (* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x)))) (cbrt (cbrt (+ 1 x))))))
42.0ms	(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))

simplify873.0ms

Counts: 139 → 139

prune1.5s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

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

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

325.0ms	(cbrt x)
308.0ms	(cbrt x)
271.0ms	(cbrt x)
237.0ms	(cbrt x)

simplify2.8s

Counts: 68 → 68

prune832.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.1b

regimes199.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

929.0ms	1707×	body	1280	valid
327.0ms	1263×	body	640	valid
227.0ms	4110×	body	80	valid
85.0ms	629×	body	320	valid
26.0ms	291×	body	160	valid