Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	54×	body	1280	valid
6.0ms	36×	body	640	valid
5.0ms	137×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize21.0ms

Local error

Found 3 expressions with local error:

3.2b	(- (cbrt (+ x 1)) (cbrt x))
0.6b	(cbrt x)
0.2b	(cbrt (+ x 1))

rewrite53.0ms

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

48.0ms	(- (cbrt (+ x 1)) (cbrt x))
3.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series453.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

263.0ms	(cbrt x)
145.0ms	(- (cbrt (+ x 1)) (cbrt x))
46.0ms	(cbrt (+ x 1))

simplify485.0ms

Counts: 166 → 111

prune937.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 14.8b

localize35.0ms

Local error

Found 4 expressions with local error:

2.9b	(+ x (- 1 x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.2b	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
14×	`cbrt-prod`
11×	`associate-+r+`
9×	`prod-diff` `add-log-exp`
6×	`pow1` `associate-r` `associate-l` `add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`sum-log` `flip3-+` `pow1/3` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `associate-+r-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 92

Calls

4 calls:

Slowest

84.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
22.0ms	(+ x (- 1 x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series767.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

323.0ms	(cbrt x)
321.0ms	(cbrt x)
120.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
2.0ms	(+ x (- 1 x))

simplify633.0ms

Counts: 109 → 104

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.2b	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
0.2b	(cbrt (+ 1 x))

rewrite56.0ms

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

51.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
3.0ms	(cbrt (+ 1 x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series732.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

273.0ms	(cbrt x)
272.0ms	(cbrt x)
145.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
42.0ms	(cbrt (+ 1 x))

simplify678.0ms

Counts: 101 → 89

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

Slowest

20.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

290.0ms	(* (cbrt x) (cbrt x))
253.0ms	(cbrt x)
247.0ms	(cbrt x)
243.0ms	(cbrt x)

simplify339.0ms

Counts: 111 → 97

prune1.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

regimes99.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

507.0ms	1705×	body	1280	valid
387.0ms	1267×	body	640	valid
267.0ms	4112×	body	80	valid
97.0ms	614×	body	320	valid
66.0ms	302×	body	160	valid