Details

sample45.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify2.1s

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize37.0ms

Local error

Found 2 expressions with local error:

25.3b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.0b	(+ (* x x) (* y y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`associate-/r*` `times-frac` `flip3--` `flip--`
2×	`pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `associate-/r/` `insert-posit16`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 44

Calls

2 calls:

Slowest

51.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
16.0ms	(+ (* x x) (* y y))

series137.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

89.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
48.0ms	(+ (* x x) (* y y))

simplify2.4s

Counts: 50 → 50

prune305.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize1.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune8.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

24.4b	(sqrt (+ (* x x) (* y y)))
24.4b	(sqrt (+ (* x x) (* y y)))
0.0b	(/ (- x y) (sqrt (+ (* x x) (* y y))))
0.0b	(/ (+ x y) (sqrt (+ (* x x) (* y y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
54×	`times-frac`
42×	`add-cube-cbrt`
39×	`sqrt-prod`
12×	`associate-/r*`
9×	`associate-/l*`
8×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`associate-/r/` `insert-posit16` `add-log-exp` `associate-/l/`
2×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 142

Calls

4 calls:

Slowest

20.0ms	(/ (+ x y) (sqrt (+ (* x x) (* y y))))
16.0ms	(/ (- x y) (sqrt (+ (* x x) (* y y))))
11.0ms	(sqrt (+ (* x x) (* y y)))
6.0ms	(sqrt (+ (* x x) (* y y)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

132.0ms	(/ (- x y) (sqrt (+ (* x x) (* y y))))
126.0ms	(/ (+ x y) (sqrt (+ (* x x) (* y y))))
54.0ms	(sqrt (+ (* x x) (* y y)))
47.0ms	(sqrt (+ (* x x) (* y y)))

simplify1.0s

Counts: 154 → 154

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize1.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes119.0ms

Accuracy

63.3% (7.6b remaining)

Error of 8.2b against oracle of 0.5b and baseline of 21.4b

bsearch95.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
402.0ms	8000×	pre	80	true