Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify24.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
32.6b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

15.0ms	(+ (* x x) (* y y))
47.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series212.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* x x) (* y y))
167.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.1s

Counts: 32 → 32

prune115.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 16.1b

localize16.0ms

Local error

Found 4 expressions with local error:

29.0b	(cbrt (+ (* x x) (* y y)))
29.0b	(cbrt (+ (* x x) (* y y)))
29.0b	(cbrt (+ (* x x) (* y y)))
32.6b	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

8.0ms	(cbrt (+ (* x x) (* y y)))
8.0ms	(cbrt (+ (* x x) (* y y)))
8.0ms	(cbrt (+ (* x x) (* y y)))
147.0ms	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (+ (* x x) (* y y)))
150.0ms	(cbrt (+ (* x x) (* y y)))
139.0ms	(cbrt (+ (* x x) (* y y)))
154.0ms	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

simplify739.0ms

Counts: 66 → 66

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 16.1b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Counts: 0 → 0

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 16.1b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify12.0ms

Counts: 0 → 0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 16.1b

regimes331.0ms

Accuracy

63.9% (7.1b remaining)

Error of 25.4b against oracle of 18.3b and baseline of 38.0b

bsearch56.0ms

Steps

Iters	Range		Point
10	2.8053186864578327e+135	2.73300969175321e+146	1.879788545217996e+136
4	-9.449645097479712e+129	-5.360575220071455e+129	-8.247629272160778e+129

simplify25.0ms

end0.0ms

sample783.0ms

Algorithm

intervals

Results

478.0ms

8000×

body

valid