Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify28.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
34.6b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

33.0ms	(+ (+ (* x x) (* y y)) (* z z))
55.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (+ (* x x) (* y y)) (* z z))
117.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.1s

Counts: 34 → 34

prune128.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
0.5b	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
34.6b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.6b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

82×	`sqrt-prod`
54×	`add-sqr-sqrt`
38×	`sqrt-pow1`
32×	`sqrt-div`
31×	`pow1`
20×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

49.0ms	(sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
169.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
35.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
36.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
112.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
111.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
148.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify666.0ms

Counts: 146 → 146

prune361.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 19.5b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify16.0ms

Counts: 0 → 0

prune3.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 19.5b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify15.0ms

Counts: 0 → 0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 19.5b

regimes374.0ms

Accuracy

64.6% (6.8b remaining)

Error of 25.3b against oracle of 18.5b and baseline of 37.7b

bsearch76.0ms

Steps

Iters	Range		Point
9	1.5235894844867215e+102	5.027334293343349e+109	3.0634753978318823e+109
9	-6.040693341932968e+124	-7.46858723464993e+118	-1.9067827916646298e+124

simplify31.0ms

end0.0ms

sample875.0ms

Algorithm

intervals

Results

521.0ms

8000×

body

valid