Details

sample142.0ms

Algorithm

intervals

Results

56.0ms	128×	body	320	valid
26.0ms	125×	body	160	valid
25.0ms	258×	body	80	nan
0.0ms	3×	body	80	valid

simplify2.1s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.8b

localize49.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
7.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))

rewrite153.0ms

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:

47.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
37.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
46.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

500.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
441.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
75.0ms	(sqrt (- (* g g) (* h h)))
77.0ms	(sqrt (- (* g g) (* h h)))

simplify643.0ms

Counts: 72 → 72

prune655.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 30.5b

localize51.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
6.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))

rewrite135.0ms

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:

17.0ms	(- (* g g) (* h h))
78.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
19.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* g g) (* h h))
465.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
67.0ms	(sqrt (- (* g g) (* h h)))
72.0ms	(sqrt (- (* g g) (* h h)))

simplify658.0ms

Counts: 71 → 71

prune652.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 30.5b

localize27.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
3.4b	(- (* g g) (* h h))
27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

8.0ms	(- (* g g) (* h h))
8.0ms	(- (* g g) (* h h))
10.0ms	(sqrt (- (* g g) (* h h)))
17.0ms	(sqrt (- (* g g) (* h h)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* g g) (* h h))
57.0ms	(- (* g g) (* h h))
59.0ms	(sqrt (- (* g g) (* h h)))
62.0ms	(sqrt (- (* g g) (* h h)))

simplify865.0ms

Counts: 70 → 70

prune1.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 30.4b

localize33.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
3.4b	(- (* g g) (* h h))
27.9b	(sqrt (- (* g g) (* h h)))
27.9b	(sqrt (- (* g g) (* h h)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

18.0ms	(- (* g g) (* h h))
29.0ms	(- (* g g) (* h h))
10.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* g g) (* h h))
58.0ms	(- (* g g) (* h h))
61.0ms	(sqrt (- (* g g) (* h h)))
54.0ms	(sqrt (- (* g g) (* h h)))

simplify752.0ms

Counts: 70 → 70

prune426.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 30.4b

regimes1.0s

Accuracy

-0% (1.2b remaining)

Error of 32.1b against oracle of 30.8b and baseline of 32.1b

bsearch0.0ms

simplify1.3s

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.0s	4119×	body	160	valid
1.6s	3723×	body	320	valid
1.1s	8050×	body	80	nan
17.0ms	158×	body	80	valid