Details

sample497.0ms

Algorithm

intervals

Results

94.0ms	115×	body	320	valid
76.0ms	245×	body	80	nan
73.0ms	501×	pre	80	true
67.0ms	94×	body	160	valid
9.0ms	11×	body	640	valid
6.0ms	36×	body	80	valid

simplify173.0ms

Counts: 1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.3b

localize38.0ms

Local error

Found 4 expressions with local error:

25.8b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.1b	(- (* b b) (* (* c a) 4))
0.0b	(sqrt (- (* b b) (* (* c a) 4)))

rewrite155.0ms

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

88.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
50.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
7.0ms	(- (* b b) (* (* c a) 4))
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series678.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

270.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
191.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
128.0ms	(sqrt (- (* b b) (* (* c a) 4)))
88.0ms	(- (* b b) (* (* c a) 4))

simplify2.1s

Counts: 88 → 88

prune986.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

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

prune51.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.6b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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

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

series67.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

36.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
31.0ms	(/ (* a c) b)

simplify560.0ms

Counts: 59 → 59

prune520.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 3.6b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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

26.0ms	(/ -2 (/ (* 2 a) (/ (* a c) b)))
17.0ms	(/ (* 2 a) (/ (* a c) b))
17.0ms	(/ (* a c) b)

series77.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

34.0ms	(/ (* 2 a) (/ (* a c) b))
22.0ms	(/ -2 (/ (* 2 a) (/ (* a c) b)))
21.0ms	(/ (* a c) b)

simplify722.0ms

Counts: 147 → 147

prune1.2s

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 3.6b

regimes555.0ms

Accuracy

0% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch2.0ms

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.0s	3610×	body	320	valid
1.1s	16258×	pre	80	true
1.1s	8258×	body	80	nan
1.0s	2972×	body	160	valid
543.0ms	881×	body	80	valid
324.0ms	537×	body	640	valid