Details

sample202.0ms

Algorithm

intervals

Results

54.0ms	117×	body	320	valid
51.0ms	133×	body	160	valid
37.0ms	250×	body	80	nan
1.0ms	6×	body	80	valid

simplify2.7s

Counts: 1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.2b

localize74.0ms

Local error

Found 4 expressions with local error:

26.6b	(sqrt (- (* g g) (* h h)))
26.6b	(sqrt (- (* g g) (* h h)))
8.8b	(cbrt (* -1/2 (/ (+ g (sqrt (- (* g g) (* h h)))) a)))
8.8b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`cbrt-prod`
10×	`*-un-lft-identity`
9×	`sqrt-prod`
8×	`add-cube-cbrt`
6×	`pow1` `times-frac`
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` `flip--`
1×	`associate-*r/` `div-inv` `distribute-lft-out--`

Counts

4 → 73

Calls

4 calls:

Slowest

26.0ms	(sqrt (- (* g g) (* h h)))
16.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
12.0ms	(cbrt (* -1/2 (/ (+ g (sqrt (- (* g g) (* h h)))) a)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

307.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
302.0ms	(cbrt (* -1/2 (/ (+ g (sqrt (- (* g g) (* h h)))) a)))
52.0ms	(sqrt (- (* g g) (* h h)))
50.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts: 85 → 85

prune1.4s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 27.6b

localize78.0ms

Local error

Found 4 expressions with local error:

26.6b	(sqrt (- (* g g) (* h h)))
26.6b	(sqrt (- (* g g) (* h h)))
8.8b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
2.6b	(- (* g g) (* h h))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`cbrt-prod` `*-un-lft-identity`
9×	`sqrt-prod`
8×	`add-cube-cbrt`
6×	`pow1` `times-frac` `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`
1×	`cbrt-div` `sub-neg` `fma-neg` `pow1/3` `diff-log` `prod-diff` `div-inv` `distribute-lft-out--`

Counts

4 → 78

Calls

4 calls:

Slowest

22.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
9.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(- (* g g) (* h h))

series532.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

350.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
71.0ms	(sqrt (- (* g g) (* h h)))
69.0ms	(sqrt (- (* g g) (* h h)))
42.0ms	(- (* g g) (* h h))

simplify1.0s

Counts: 90 → 90

prune2.0s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 26.8b

localize95.0ms

Local error

Found 4 expressions with local error:

26.6b	(sqrt (- (* g g) (* h h)))
26.6b	(sqrt (- (* g g) (* h h)))
2.6b	(- (* g g) (* h h))
2.6b	(- (* g g) (* h h))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

Slowest

22.0ms	(- (* g g) (* h h))
12.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(- (* g g) (* h h))

series234.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(sqrt (- (* g g) (* h h)))
60.0ms	(sqrt (- (* g g) (* h h)))
57.0ms	(- (* g g) (* h h))
55.0ms	(- (* g g) (* h h))

simplify2.0s

Counts: 86 → 86

prune1.7s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 26.8b

localize74.0ms

Local error

Found 4 expressions with local error:

26.6b	(sqrt (fma g g (- (* h h))))
26.6b	(sqrt (- (* g g) (* h h)))
3.3b	(fma g g (- (* h h)))
2.6b	(- (* g g) (* h h))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

Slowest

9.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(- (* g g) (* h h))
1.0ms	(sqrt (fma g g (- (* h h))))
0.0ms	(fma g g (- (* h h)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(sqrt (fma g g (- (* h h))))
61.0ms	(sqrt (- (* g g) (* h h)))
56.0ms	(fma g g (- (* h h)))
44.0ms	(- (* g g) (* h h))

simplify1.4s

Counts: 76 → 76

prune1.5s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 26.8b

regimes1.6s

Accuracy

50.3% (0.8b remaining)

Error of 31.3b against oracle of 30.5b and baseline of 32.1b

bsearch544.0ms

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.1s	3753×	body	320	valid
2.0s	7974×	body	80	nan
1.8s	4106×	body	160	valid
29.0ms	141×	body	80	valid