Details

sample93.0ms

Algorithm

intervals

Results

22.0ms	137×	body	160	valid
19.0ms	249×	body	80	nan
19.0ms	505×	pre	80	true
15.0ms	119×	body	80	valid

simplify113.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize39.0ms

Local error

Found 4 expressions with local error:

28.3b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.2b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.2b	(- (* b b) (* (* c a) 4))
0.1b	(sqrt (- (* b b) (* (* c a) 4)))

rewrite154.0ms

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

92.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
38.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
13.0ms	(- (* b b) (* (* c a) 4))
11.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
124.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
96.0ms	(sqrt (- (* b b) (* (* c a) 4)))
58.0ms	(- (* b b) (* (* c a) 4))

simplify1.6s

Counts: 88 → 88

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.9b

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

prune105.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.9b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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

33.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
18.0ms	(/ (* a c) b)

series59.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

31.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
27.0ms	(/ (* a c) b)

simplify599.0ms

Counts: 59 → 59

prune694.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 8.8b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

92×	`times-frac`
58×	`add-cbrt-cube` `add-exp-log`
34×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
29×	`cbrt-undiv` `div-exp`
22×	`associate-/r*`
13×	`div-inv`
11×	`prod-exp` `cbrt-unprod`
6×	`associate-/r/`
5×	`associate-/l*`
3×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`

Counts

3 → 138

Calls

3 calls:

Slowest

17.0ms	(/ -2 (/ (* 2 a) (/ (* a c) b)))
12.0ms	(/ (* 2 a) (/ (* a c) b))
9.0ms	(/ (* a c) b)

series99.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

40.0ms	(/ (* 2 a) (/ (* a c) b))
36.0ms	(/ (* a c) b)
22.0ms	(/ -2 (/ (* 2 a) (/ (* a c) b)))

simplify656.0ms

Counts: 147 → 147

prune1.4s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 8.8b

regimes845.0ms

Accuracy

46.4% (7.4b remaining)

Error of 16.3b against oracle of 8.9b and baseline of 22.7b

bsearch37.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.6s	8489×	body	80	nan
1.3s	4487×	body	160	valid
1.0s	16489×	pre	80	true
883.0ms	3513×	body	80	valid