Details

sample204.0ms

Algorithm

intervals

Results

67.0ms	121×	body	320	valid
62.0ms	131×	body	160	valid
47.0ms	272×	body	80	nan
1.0ms	4×	body	80	valid

simplify2.0s

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 37.3b

localize43.0ms

Local error

Found 4 expressions with local error:

30.6b	(sqrt (- (* g g) (* h h)))
30.6b	(sqrt (- (* g g) (* h h)))
9.0b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
8.2b	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`times-frac`
10×	`add-cube-cbrt` `sqrt-prod`
6×	`pow1` `difference-of-squares`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out--`
2×	`rem-sqrt-square` `cbrt-div` `sqrt-pow1` `flip3--` `pow1/2` `pow1/3` `div-inv` `flip--`
1×	`distribute-rgt-neg-in`

Counts

4 → 75

Calls

4 calls:

Slowest

23.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
14.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series768.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

326.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
305.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
75.0ms	(sqrt (- (* g g) (* h h)))
62.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts: 87 → 87

prune1.8s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 31.1b

localize43.0ms

Local error

Found 4 expressions with local error:

30.6b	(sqrt (- (* g g) (* h h)))
30.6b	(sqrt (- (* g g) (* h h)))
8.2b	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
4.0b	(- (* g g) (* h h))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`cbrt-prod`
9×	`sqrt-prod`
8×	`add-cube-cbrt`
7×	`times-frac`
6×	`pow1` `add-log-exp`
5×	`difference-of-squares`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `distribute-lft-out--`
1×	`cbrt-div` `sub-neg` `distribute-rgt-neg-in` `pow1/3` `diff-log` `div-inv`

Counts

4 → 69

Calls

4 calls:

Slowest

22.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
12.0ms	(- (* g g) (* h h))
8.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

306.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
71.0ms	(sqrt (- (* g g) (* h h)))
62.0ms	(- (* g g) (* h h))
60.0ms	(sqrt (- (* g g) (* h h)))

simplify984.0ms

Counts: 81 → 81

prune1.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 30.3b

localize70.0ms

Local error

Found 4 expressions with local error:

30.6b	(sqrt (- (* g g) (* h h)))
30.6b	(sqrt (- (* g g) (* h h)))
4.0b	(- (* g g) (* h h))
4.0b	(- (* g g) (* h h))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

Slowest

14.0ms	(- (* g g) (* h h))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(- (* g g) (* h h))
7.0ms	(sqrt (- (* g g) (* h h)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(sqrt (- (* g g) (* h h)))
68.0ms	(sqrt (- (* g g) (* h h)))
53.0ms	(- (* g g) (* h h))
39.0ms	(- (* g g) (* h h))

simplify1.8s

Counts: 74 → 74

prune1.7s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 30.3b

localize64.0ms

Local error

Found 4 expressions with local error:

30.6b	(sqrt (- (* g g) (* h h)))
30.6b	(sqrt (- (* g g) (* h h)))
4.0b	(- (* g g) (* h h))
4.0b	(- (* g g) (* h h))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

Slowest

15.0ms	(- (* g g) (* h h))
14.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(- (* g g) (* h h))

series233.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(sqrt (- (* g g) (* h h)))
62.0ms	(sqrt (- (* g g) (* h h)))
57.0ms	(- (* g g) (* h h))
42.0ms	(- (* g g) (* h h))

simplify1.6s

Counts: 74 → 74

prune1.3s

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 30.3b

regimes808.0ms

Accuracy

0% (1.7b remaining)

Error of 31.5b against oracle of 29.8b and baseline of 31.5b

bsearch3.0ms

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.8s	3690×	body	320	valid
2.2s	7904×	body	80	nan
1.8s	4153×	body	160	valid
31.0ms	157×	body	80	valid