Details

sample260.0ms

Algorithm

intervals

Results

76.0ms	121×	body	320	valid
65.0ms	131×	body	160	valid
53.0ms	272×	body	80	nan
1.0ms	4×	body	80	valid

simplify2.5s

Counts: 1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 37.3b

localize67.0ms

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)))) (* -2 a)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
9×	`sqrt-prod`
6×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `cbrt-div` `sqrt-pow1` `flip3--` `pow1/2` `pow1/3` `div-inv` `flip--`
1×	`distribute-lft-out` `distribute-lft-out--`

Counts

4 → 80

Calls

4 calls:

Slowest

18.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
17.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(cbrt (/ (+ g (sqrt (- (* g g) (* h h)))) (* -2 a)))
9.0ms	(sqrt (- (* g g) (* h h)))

series817.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

359.0ms	(cbrt (/ (+ g (sqrt (- (* g g) (* h h)))) (* -2 a)))
350.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
59.0ms	(sqrt (- (* g g) (* h h)))
49.0ms	(sqrt (- (* g g) (* h h)))

simplify1.5s

Counts: 92 → 92

prune1.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 31.1b

localize42.0ms

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)))) (* -2 a)))
4.0b	(- (* g g) (* h h))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-prod` `add-cube-cbrt` `sqrt-prod`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `times-frac` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-div` `sub-neg` `fma-neg` `pow1/3` `diff-log` `prod-diff` `div-inv` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

Slowest

23.0ms	(cbrt (/ (+ g (sqrt (- (* g g) (* h h)))) (* -2 a)))
17.0ms	(sqrt (- (* g g) (* h h)))
16.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(- (* g g) (* h h))

series525.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

328.0ms	(cbrt (/ (+ g (sqrt (- (* g g) (* h h)))) (* -2 a)))
78.0ms	(sqrt (- (* g g) (* h h)))
61.0ms	(- (* g g) (* h h))
59.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts: 88 → 88

prune1.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 30.3b

localize93.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

Slowest

18.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(sqrt (- (* g g) (* h h)))
78.0ms	(sqrt (- (* g g) (* h h)))
71.0ms	(sqrt (- (* g g) (* h h)))
66.0ms	(sqrt (- (* g g) (* h h)))

simplify2.1s

Counts: 88 → 88

prune2.0s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 30.3b

localize136.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

Slowest

19.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))
17.0ms	(sqrt (- (* g g) (* h h)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(sqrt (- (* g g) (* h h)))
53.0ms	(sqrt (- (* g g) (* h h)))
51.0ms	(sqrt (- (* g g) (* h h)))
48.0ms	(sqrt (- (* g g) (* h h)))

simplify2.1s

Counts: 88 → 88

prune2.1s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 30.3b

regimes1.6s

Accuracy

46.4% (1.2b remaining)

Error of 31.1b against oracle of 29.9b and baseline of 32.2b

bsearch840.0ms

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.9s	3690×	body	320	valid
2.1s	7904×	body	80	nan
2.1s	4153×	body	160	valid
29.0ms	157×	body	80	valid