Details

sample158.0ms

Algorithm

intervals

Results

35.0ms	138×	body	160	valid
34.0ms	288×	body	80	nan
32.0ms	118×	body	80	valid
31.0ms	544×	pre	80	true

simplify143.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize27.0ms

Local error

Found 4 expressions with local error:

27.6b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.3b	(- (* b b) (* (* c a) 4))
0.2b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.1b	(sqrt (- (* b b) (* (* c a) 4)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

Slowest

60.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
30.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
8.0ms	(sqrt (- (* b b) (* (* c a) 4)))
7.0ms	(- (* b b) (* (* c a) 4))

series353.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
108.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
69.0ms	(sqrt (- (* b b) (* (* c a) 4)))
57.0ms	(- (* b b) (* (* c a) 4))

simplify1.8s

Counts: 88 → 88

prune857.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.6b

localize13.0ms

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

prune92.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.6b

localize27.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* a c) b)
0.2b	(/ (* -2 (/ (* a c) b)) (* 2 a))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-cbrt-cube` `add-exp-log`
14×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 53

Calls

2 calls:

Slowest

27.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
13.0ms	(/ (* a c) b)

series62.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

32.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
31.0ms	(/ (* a c) b)

simplify524.0ms

Counts: 59 → 59

prune538.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ a (/ b c))
0.2b	(/ (* -2 (/ a (/ b c))) (* 2 a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
39×	`add-cbrt-cube` `add-exp-log`
17×	`cbrt-undiv` `div-exp`
14×	`associate-/r*`
10×	`prod-exp` `cbrt-unprod`
6×	`div-inv`
4×	`associate-/l*`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

2 → 102

Calls

2 calls:

Slowest

21.0ms	(/ (* -2 (/ a (/ b c))) (* 2 a))
8.0ms	(/ a (/ b c))

series46.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

23.0ms	(/ a (/ b c))
23.0ms	(/ (* -2 (/ a (/ b c))) (* 2 a))

simplify621.0ms

Counts: 108 → 108

prune1.0s

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 9.5b

regimes897.0ms

Accuracy

43.2% (7.8b remaining)

Error of 16.9b against oracle of 9.1b and baseline of 22.9b

bsearch45.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.4s	4430×	body	160	valid
1.2s	8482×	body	80	nan
975.0ms	16482×	pre	80	true
863.0ms	3570×	body	80	valid