Details

sample56.0ms

Algorithm

intervals

Results

31.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify572.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.3b

localize35.0ms

Local error

Found 4 expressions with local error:

26.1b	(/ (* y y) (+ (* x x) (* y y)))
16.2b	(/ (* x x) (+ (* x x) (* y y)))
0.0b	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
0.0b	(+ (* x x) (* y y))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `times-frac`
8×	`associate-/r/` `add-cube-cbrt` `add-log-exp`
6×	`associate-/r*`
5×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16` `div-inv` `difference-of-squares`
3×	`distribute-rgt-out--`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 83

Calls

4 calls:

Slowest

53.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
33.0ms	(/ (* y y) (+ (* x x) (* y y)))
19.0ms	(/ (* x x) (+ (* x x) (* y y)))
7.0ms	(+ (* x x) (* y y))

series266.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

92.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
86.0ms	(/ (* x x) (+ (* x x) (* y y)))
53.0ms	(/ (* y y) (+ (* x x) (* y y)))
35.0ms	(+ (* x x) (* y y))

simplify361.0ms

Counts: 111 → 95

prune748.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize36.0ms

Local error

Found 4 expressions with local error:

26.1b	(/ (* y y) (+ (* x x) (* y y)))
26.1b	(/ (* y y) (+ (* x x) (* y y)))
16.2b	(/ (* x x) (+ (* x x) (* y y)))
4.8b	(sqrt (/ (* y y) (+ (* x x) (* y y))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
13×	`times-frac`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-/r*` `sqrt-prod`
8×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`rem-sqrt-square`
1×	`sqrt-pow1` `pow1/2` `sqrt-div`

Counts

4 → 94

Calls

4 calls:

Slowest

23.0ms	(sqrt (/ (* y y) (+ (* x x) (* y y))))
19.0ms	(/ (* x x) (+ (* x x) (* y y)))
13.0ms	(/ (* y y) (+ (* x x) (* y y)))
13.0ms	(/ (* y y) (+ (* x x) (* y y)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(/ (* x x) (+ (* x x) (* y y)))
79.0ms	(/ (* y y) (+ (* x x) (* y y)))
74.0ms	(/ (* y y) (+ (* x x) (* y y)))
71.0ms	(sqrt (/ (* y y) (+ (* x x) (* y y))))

simplify410.0ms

Counts: 125 → 106

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize0.0ms

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

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.6b

localize0.0ms

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.6b

regimes94.0ms

Accuracy

76.6% (4.7b remaining)

Error of 5.1b against oracle of 0.4b and baseline of 20.4b

bsearch160.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
327.0ms	8000×	pre	80	true