Details

sample97.0ms

Algorithm

intervals

Results

29.0ms	128×	body	320	valid
24.0ms	256×	body	80	nan
18.0ms	120×	body	160	valid
1.0ms	8×	body	80	valid

simplify106.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.2b

localize48.0ms

Local error

Found 4 expressions with local error:

7.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
8.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite99.0ms

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:

35.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
41.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

336.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
604.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
48.0ms	(sqrt (- (* g g) (* h h)))
55.0ms	(sqrt (- (* g g) (* h h)))

simplify40.0ms

Counts: 72 → 72

prune436.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 32.2b

localize27.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
7.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(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`
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:

9.0ms	(- (* g g) (* h h))
42.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
11.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* g g) (* h h))
337.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
50.0ms	(sqrt (- (* g g) (* h h)))
54.0ms	(sqrt (- (* g g) (* h h)))

simplify34.0ms

Counts: 71 → 71

prune440.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 31.7b

localize29.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
4.4b	(- (* g g) (* h h))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(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))
16.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* g g) (* h h))
34.0ms	(- (* g g) (* h h))
53.0ms	(sqrt (- (* g g) (* h h)))
52.0ms	(sqrt (- (* g g) (* h h)))

simplify42.0ms

Counts: 70 → 70

prune451.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 31.7b

localize40.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (- g) (sqrt (* (+ g h) (- g h))))
4.4b	(- (* g g) (* h h))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (* (+ g h) (- g h)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

10×	`sqrt-div` `add-log-exp`
9×	`*-un-lft-identity`
8×	`pow1`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `flip3--` `sqrt-prod` `flip--`
4×	`add-exp-log` `frac-times` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`sqrt-pow1`
2×	`pow1/2` `associate-r/` `associate-l/` `sum-log` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+l-` `sub-neg` `rem-sqrt-square` `distribute-rgt-neg-in` `diff-log` `pow-prod-down` `neg-log`

Counts

4 → 63

Calls

4 calls:

13.0ms	(+ (- g) (sqrt (* (+ g h) (- g h))))
9.0ms	(- (* g g) (* h h))
10.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(sqrt (* (+ g h) (- g h)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (- g) (sqrt (* (+ g h) (- g h))))
34.0ms	(- (* g g) (* h h))
54.0ms	(sqrt (- (* g g) (* h h)))
63.0ms	(sqrt (* (+ g h) (- g h)))

simplify37.0ms

Counts: 75 → 75

prune422.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 31.3b

regimes772.0ms

Accuracy

33% (1.0b remaining)

Error of 31.9b against oracle of 30.9b and baseline of 32.4b

bsearch123.0ms

Steps

Iters	Range		Point
6	-1.4049121726457711e-157	-3.3401099250343986e-158	-3.3699063191104645e-158

simplify1.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.6s	3704×	body	320	valid
1.0s	8123×	body	80	nan
798.0ms	4146×	body	160	valid
12.0ms	150×	body	80	valid