Details

sample238.0ms

Algorithm

intervals

Results

84.0ms	134×	body	320	valid
73.0ms	249×	body	80	nan
49.0ms	114×	body	160	valid
2.0ms	8×	body	80	valid

simplify2.3s

Counts: 1 → 1

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.8b

localize80.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (- (* g g) (* h h)))
27.6b	(sqrt (- (* g g) (* h h)))
7.6b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
5.8b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

Slowest

46.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
34.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
16.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series947.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

428.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
383.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
81.0ms	(sqrt (- (* g g) (* h h)))
55.0ms	(sqrt (- (* g g) (* h h)))

simplify2.2s

Counts: 84 → 84

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 27.3b

localize58.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (- (* g g) (* h h)))
27.6b	(sqrt (- (* g g) (* h h)))
5.8b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
3.2b	(- (* g g) (* h h))

rewrite85.0ms

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

Counts

4 → 73

Calls

4 calls:

Slowest

39.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
17.0ms	(sqrt (- (* g g) (* h h)))
17.0ms	(sqrt (- (* g g) (* h h)))
11.0ms	(- (* g g) (* h h))

series572.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

414.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
57.0ms	(sqrt (- (* g g) (* h h)))
51.0ms	(sqrt (- (* g g) (* h h)))
49.0ms	(- (* g g) (* h h))

simplify2.2s

Counts: 85 → 85

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 26.9b

localize47.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (- (* g g) (* h h)))
27.6b	(sqrt (- (* g g) (* h h)))
5.8b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
3.2b	(- (* g g) (* h h))

rewrite59.0ms

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

Counts

4 → 73

Calls

4 calls:

Slowest

31.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(- (* g g) (* h h))

series613.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

431.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
82.0ms	(sqrt (- (* g g) (* h h)))
59.0ms	(sqrt (- (* g g) (* h h)))
41.0ms	(- (* g g) (* h h))

simplify1.8s

Counts: 85 → 85

prune1.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 26.9b

localize72.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (- (* g g) (* h h)))
27.6b	(sqrt (- (* g g) (* h h)))
7.6b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
3.2b	(- (* g g) (* h h))

rewrite92.0ms

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

47.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
19.0ms	(sqrt (- (* g g) (* h h)))
17.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(- (* g g) (* h h))

series588.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

431.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
61.0ms	(sqrt (- (* g g) (* h h)))
57.0ms	(sqrt (- (* g g) (* h h)))
38.0ms	(- (* g g) (* h h))

simplify1.7s

Counts: 85 → 85

prune1.4s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 26.9b

regimes1.1s

Accuracy

53.7% (1.7b remaining)

Error of 31.2b against oracle of 29.5b and baseline of 33.2b

bsearch436.0ms

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.7s	4083×	body	160	valid
2.3s	3761×	body	320	valid
1.7s	7741×	body	80	nan
57.0ms	156×	body	80	valid