Details

sample110.0ms

Algorithm

intervals

Results

32.0ms	122×	body	320	valid
24.0ms	131×	body	160	valid
21.0ms	239×	body	80	nan
0.0ms	3×	body	80	valid

simplify1.9s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.5b

localize75.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
12.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
33.4b	(sqrt (- (* g g) (* h h)))
33.4b	(sqrt (- (* g g) (* h h)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `frac-times` `flip3--` `sqrt-div` `associate-*r/` `add-cbrt-cube` `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 → 60

Calls

4 calls:

59.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
50.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
19.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series878.0ms

Counts

4 → 12

Calls

4 calls:

336.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
408.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
58.0ms	(sqrt (- (* g g) (* h h)))
76.0ms	(sqrt (- (* g g) (* h h)))

simplify761.0ms

Counts: 72 → 72

prune641.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 35.5b

localize45.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (* g g) (* h h))
7.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
33.4b	(sqrt (- (* g g) (* h h)))
33.4b	(sqrt (- (* g g) (* h h)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

11.0ms	(- (* g g) (* h h))
48.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* g g) (* h h))
490.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
86.0ms	(sqrt (- (* g g) (* h h)))
84.0ms	(sqrt (- (* g g) (* h h)))

simplify680.0ms

Counts: 71 → 71

prune687.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 35.3b

localize54.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (* g g) (* h h))
12.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
33.4b	(sqrt (- (* g g) (* h h)))
33.4b	(sqrt (- (* g g) (* h h)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
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` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

12.0ms	(- (* g g) (* h h))
54.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
18.0ms	(sqrt (- (* g g) (* h h)))
20.0ms	(sqrt (- (* g g) (* h h)))

series607.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* g g) (* h h))
429.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
71.0ms	(sqrt (- (* g g) (* h h)))
62.0ms	(sqrt (- (* g g) (* h h)))

simplify647.0ms

Counts: 71 → 71

prune606.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 35.3b

localize33.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (* g g) (* h h))
12.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
33.4b	(sqrt (- (* g g) (* h h)))
33.4b	(sqrt (- (* g g) (* h h)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
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` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

16.0ms	(- (* g g) (* h h))
62.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
16.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* g g) (* h h))
378.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
66.0ms	(sqrt (- (* g g) (* h h)))
75.0ms	(sqrt (- (* g g) (* h h)))

simplify609.0ms

Counts: 71 → 71

prune502.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 35.3b

regimes976.0ms

Accuracy

76.8% (0.6b remaining)

Error of 31.6b against oracle of 31.0b and baseline of 33.6b

bsearch322.0ms

Steps

Iters	Range		Point
12	4.14462498494694e-207	2.343707903535519e-166	2.3212850341075556e-166

simplify3.0s

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.9s	3640×	body	320	valid
1.6s	4201×	body	160	valid
1.2s	7840×	body	80	nan
17.0ms	159×	body	80	valid