Details

sample170.0ms

Algorithm

intervals

Results

67.0ms	110×	body	320	valid
38.0ms	141×	body	160	valid
38.0ms	294×	body	80	nan
1.0ms	5×	body	80	valid

simplify2.3s

Counts: 1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 39.0b

localize56.0ms

Local error

Found 4 expressions with local error:

31.4b	(sqrt (- (* g g) (* h h)))
31.4b	(sqrt (- (* g g) (* h h)))
11.2b	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
9.2b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))

rewrite64.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `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 → 83

Calls

4 calls:

Slowest

27.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
14.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
11.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series821.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

379.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
314.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
77.0ms	(sqrt (- (* g g) (* h h)))
50.0ms	(sqrt (- (* g g) (* h h)))

simplify1.6s

Counts: 95 → 95

prune2.2s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 32.3b

localize75.0ms

Local error

Found 4 expressions with local error:

31.4b	(sqrt (- (* g g) (* h h)))
31.4b	(sqrt (- (* g g) (* h h)))
11.2b	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
2.6b	(- (* g g) (* h h))

rewrite91.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `distribute-lft-out--`
1×	`cbrt-div` `sub-neg` `distribute-rgt-neg-in` `fma-neg` `pow1/3` `diff-log` `prod-diff` `div-inv`

Counts

4 → 79

Calls

4 calls:

Slowest

29.0ms	(sqrt (- (* g g) (* h h)))
26.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
19.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(- (* g g) (* h h))

series495.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

309.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
73.0ms	(sqrt (- (* g g) (* h h)))
57.0ms	(sqrt (- (* g g) (* h h)))
56.0ms	(- (* g g) (* h h))

simplify1.3s

Counts: 91 → 91

prune2.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 32.0b

localize69.0ms

Local error

Found 4 expressions with local error:

31.4b	(sqrt (- (* g g) (* h h)))
31.4b	(sqrt (- (* g g) (* h h)))
11.2b	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
2.6b	(- (* g g) (* h h))

rewrite71.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `distribute-lft-out--`
1×	`cbrt-div` `sub-neg` `distribute-rgt-neg-in` `fma-neg` `pow1/3` `diff-log` `prod-diff` `div-inv`

Counts

4 → 79

Calls

4 calls:

Slowest

33.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
15.0ms	(- (* g g) (* h h))
12.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series556.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

373.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
83.0ms	(sqrt (- (* g g) (* h h)))
62.0ms	(sqrt (- (* g g) (* h h)))
39.0ms	(- (* g g) (* h h))

simplify1.2s

Counts: 91 → 91

prune1.9s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 32.0b

localize83.0ms

Local error

Found 4 expressions with local error:

31.4b	(sqrt (- (* g g) (* h h)))
31.4b	(sqrt (- (* g g) (* h h)))
11.2b	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
2.6b	(- (* g g) (* h h))

rewrite62.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `distribute-lft-out--`
1×	`cbrt-div` `sub-neg` `distribute-rgt-neg-in` `fma-neg` `pow1/3` `diff-log` `prod-diff` `div-inv`

Counts

4 → 79

Calls

4 calls:

Slowest

20.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
8.0ms	(- (* g g) (* h h))

series514.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

335.0ms	(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (* a 2)))
71.0ms	(sqrt (- (* g g) (* h h)))
68.0ms	(sqrt (- (* g g) (* h h)))
40.0ms	(- (* g g) (* h h))

simplify1.4s

Counts: 91 → 91

prune1.9s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 32.0b

regimes983.0ms

Accuracy

54.3% (1.6b remaining)

Error of 31.0b against oracle of 29.4b and baseline of 32.8b

bsearch387.0ms

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.2s	3627×	body	320	valid
1.9s	4221×	body	160	valid
1.9s	8160×	body	80	nan
30.0ms	152×	body	80	valid