Details

sample110.0ms

Algorithm

intervals

Results

36.0ms	295×	body	80	nan
26.0ms	118×	body	320	valid
21.0ms	134×	body	160	valid
0.0ms	4×	body	80	valid

simplify104.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.4b

localize23.0ms

Local error

Found 4 expressions with local error:

7.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
9.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.2b	(sqrt (- (* g g) (* h h)))
32.2b	(sqrt (- (* g g) (* h h)))

rewrite123.0ms

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:

37.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
35.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
12.0ms	(sqrt (- (* g g) (* h h)))
37.0ms	(sqrt (- (* g g) (* h h)))

series764.0ms

Counts

4 → 12

Calls

4 calls:

339.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
323.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
53.0ms	(sqrt (- (* g g) (* h h)))
50.0ms	(sqrt (- (* g g) (* h h)))

simplify40.0ms

Counts: 72 → 72

prune462.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 34.4b

localize27.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
9.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.2b	(sqrt (- (* g g) (* h h)))
32.2b	(sqrt (- (* g g) (* h h)))

rewrite74.0ms

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:

9.0ms	(- (* g g) (* h h))
43.0ms	(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)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* g g) (* h h))
324.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
47.0ms	(sqrt (- (* g g) (* h h)))
51.0ms	(sqrt (- (* g g) (* h h)))

simplify33.0ms

Counts: 71 → 71

prune489.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 34.3b

localize29.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
2.6b	(- (* g g) (* h h))
32.2b	(sqrt (- (* g g) (* h h)))
32.2b	(sqrt (- (* g g) (* h h)))

rewrite47.0ms

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:

9.0ms	(- (* g g) (* h h))
9.0ms	(- (* g g) (* h h))
17.0ms	(sqrt (- (* g g) (* h h)))
11.0ms	(sqrt (- (* g g) (* h h)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* g g) (* h h))
37.0ms	(- (* g g) (* h h))
53.0ms	(sqrt (- (* g g) (* h h)))
53.0ms	(sqrt (- (* g g) (* h h)))

simplify42.0ms

Counts: 70 → 70

prune477.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 34.3b

localize31.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
9.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.2b	(sqrt (- (* g g) (* h h)))
32.2b	(sqrt (- (* g g) (* h h)))

rewrite70.0ms

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:

9.0ms	(- (* g g) (* h h))
39.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.0ms	(sqrt (- (* g g) (* h h)))
11.0ms	(sqrt (- (* g g) (* h h)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* g g) (* h h))
324.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
53.0ms	(sqrt (- (* g g) (* h h)))
50.0ms	(sqrt (- (* g g) (* h h)))

simplify36.0ms

Counts: 71 → 71

prune362.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 34.3b

regimes876.0ms

Accuracy

0% (1.3b remaining)

Error of 32.6b against oracle of 31.3b and baseline of 32.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	3724×	body	320	valid
1.1s	7892×	body	80	nan
890.0ms	4100×	body	160	valid
13.0ms	176×	body	80	valid