Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize13.0ms

Local error

Found 1 expressions with local error:

34.9b

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

59.0ms

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series145.0ms

Counts

1 → 3

Calls

1 calls:

145.0ms

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify110.0ms

Counts: 18 → 18

prune83.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-div`
7×	`pow1`
6×	`cbrt-prod`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

28.0ms	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
48.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
38.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
59.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
132.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
143.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
145.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify48.0ms

Counts: 73 → 73

prune284.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.3b

localize22.0ms

Local error

Found 4 expressions with local error:

4.3b	(exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`log-prod` `exp-sum`
8×	`pow1` `sqrt-div`
6×	`cbrt-prod`
5×	`exp-prod`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`log-div` `cbrt-div` `exp-diff` `log-pow`
1×	`pow1/3` `rem-exp-log`

Counts

4 → 69

Calls

4 calls:

34.0ms	(exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
35.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
46.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
38.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
111.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
111.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
119.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify50.0ms

Counts: 81 → 81

prune453.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 18.3b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts: 0 → 0

prune0.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 18.3b

regimes442.0ms

Accuracy

59.9% (8.0b remaining)

Error of 26.2b against oracle of 18.2b and baseline of 38.1b

bsearch81.0ms

Steps

Iters	Range		Point
9	1.6558114091021875e+84	4.612323731361669e+91	4.376373199179286e+91
7	-1.8875295458160305e+40	-3.852270064556066e+38	-1.8637040731758233e+40

simplify3.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

773.0ms

8000×

body

valid