Details

sample214.0ms

Algorithm

intervals

Results

96.0ms	133×	body	320	valid
50.0ms	119×	body	160	valid
41.0ms	216×	body	80	nan
1.0ms	4×	body	80	valid

simplify814.0ms

Counts: 1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 34.0b

localize49.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))
8.3b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
7.6b	(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))

rewrite97.0ms

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` `cbrt-div` `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×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `pow1/3` `associate-*r/` `flip-+` `flip--`
1×	`associate-*l/` `div-inv` `distribute-lft-out--`

Counts

4 → 77

Calls

4 calls:

Slowest

29.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
27.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
21.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series766.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

336.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
309.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
74.0ms	(sqrt (- (* g g) (* h h)))
48.0ms	(sqrt (- (* g g) (* h h)))

simplify741.0ms

Counts: 112 → 89

prune1.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 28.3b

localize53.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))
7.6b	(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
5.0b	(- (* g g) (* h h))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

Slowest

18.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(- (* g g) (* h h))

series561.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

401.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
73.0ms	(sqrt (- (* g g) (* h h)))
50.0ms	(sqrt (- (* g g) (* h h)))
38.0ms	(- (* g g) (* h h))

simplify482.0ms

Counts: 102 → 85

prune1.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 28.2b

localize95.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))
5.0b	(- (* g g) (* h h))
5.0b	(- (* g g) (* h h))

rewrite39.0ms

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

11.0ms	(- (* g g) (* h h))
10.0ms	(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

65.0ms	(sqrt (- (* g g) (* h h)))
64.0ms	(sqrt (- (* g g) (* h h)))
53.0ms	(- (* g g) (* h h))
51.0ms	(- (* g g) (* h h))

simplify376.0ms

Counts: 102 → 86

prune1.8s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 28.2b

localize60.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))
5.0b	(- (* g g) (* h h))
5.0b	(- (* g g) (* h h))

rewrite51.0ms

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

15.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(- (* g g) (* h h))
13.0ms	(- (* g g) (* h h))
9.0ms	(sqrt (- (* g g) (* h h)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(sqrt (- (* g g) (* h h)))
59.0ms	(sqrt (- (* g g) (* h h)))
44.0ms	(- (* g g) (* h h))
43.0ms	(- (* g g) (* h h))

simplify446.0ms

Counts: 102 → 86

prune1.6s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 28.2b

regimes1.0s

Accuracy

60.8% (1.3b remaining)

Error of 31.2b against oracle of 29.9b and baseline of 33.3b

bsearch447.0ms

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.8s	3744×	body	320	valid
2.4s	8052×	body	80	nan
1.8s	4100×	body	160	valid
53.0ms	156×	body	80	valid