Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	50×	body	1280	valid
5.0ms	138×	body	80	valid
5.0ms	38×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify10.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize10.0ms

Local error

Found 3 expressions with local error:

2.5b	(- (cbrt (+ x 1)) (cbrt x))
0.6b	(cbrt x)
0.2b	(cbrt (+ x 1))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 47

Calls

3 calls:

Slowest

33.0ms	(- (cbrt (+ x 1)) (cbrt x))
3.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series454.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

277.0ms	(cbrt x)
113.0ms	(- (cbrt (+ x 1)) (cbrt x))
64.0ms	(cbrt (+ x 1))

simplify1.6s

Counts: 56 → 56

prune476.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `*-un-lft-identity`
29×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
13×	`pow1` `associate-r` `associate-l`
12×	`cbrt-div`
10×	`distribute-lft-out`
9×	`swap-sqr`
8×	`pow1/3` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`unswap-sqr`
5×	`add-cbrt-cube`
4×	`frac-times` `associate-*r/` `insert-posit16` `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 → 108

Calls

4 calls:

Slowest

56.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
33.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series757.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

267.0ms	(cbrt x)
251.0ms	(cbrt x)
173.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
66.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))

simplify2.1s

Counts: 120 → 120

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-prod`
43×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
24×	`cbrt-div`
21×	`add-cube-cbrt`
16×	`associate-r` `associate-l`
13×	`pow1`
12×	`swap-sqr`
11×	`unswap-sqr`
10×	`distribute-lft-out`
8×	`pow1/3` `add-exp-log`
7×	`flip3-+` `flip-+`
5×	`add-cbrt-cube`
4×	`frac-times` `associate-*r/` `insert-posit16` `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 → 122

Calls

4 calls:

Slowest

97.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
43.0ms	(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series847.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

343.0ms	(cbrt x)
281.0ms	(cbrt x)
180.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
43.0ms	(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))

simplify677.0ms

Counts: 134 → 134

prune2.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `*-un-lft-identity`
29×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
13×	`pow1` `associate-r` `associate-l`
12×	`cbrt-div`
10×	`distribute-lft-out`
9×	`swap-sqr`
8×	`pow1/3` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`unswap-sqr`
5×	`add-cbrt-cube`
4×	`frac-times` `associate-*r/` `insert-posit16` `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 → 108

Calls

4 calls:

Slowest

58.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
21.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series791.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

310.0ms	(cbrt x)
282.0ms	(cbrt x)
137.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
63.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))

simplify2.2s

Counts: 120 → 120

prune1.6s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

regimes68.0ms

Accuracy

0% (0.5b remaining)

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

bsearch3.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

575.0ms	1759×	body	1280	valid
233.0ms	4030×	body	80	valid
228.0ms	1220×	body	640	valid
132.0ms	664×	body	320	valid
32.0ms	327×	body	160	valid