Details

sample151.0ms

Algorithm

intervals

Results

58.0ms	155×	body	160	valid
24.0ms	244×	body	80	nan
24.0ms	500×	pre	80	true
15.0ms	41×	body	320	valid
6.0ms	60×	body	80	valid

simplify105.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize29.0ms

Local error

Found 4 expressions with local error:

39.5b	(- (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)))

rewrite118.0ms

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

57.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
46.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
7.0ms	(- (* b b) (* (* c a) 4))
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

108.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
87.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
74.0ms	(sqrt (- (* b b) (* (* c a) 4)))
47.0ms	(- (* b b) (* (* c a) 4))

simplify1.9s

Counts: 88 → 88

prune758.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.2b

localize9.0ms

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

prune63.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.2b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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

32.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
16.0ms	(/ (* a c) b)

series59.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

31.0ms	(/ (* a c) b)
28.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify524.0ms

Counts: 59 → 59

prune543.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 1 (- (* (/ a a) (/ b c))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-/r*`
5×	`add-exp-log`
4×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
3×	`add-cbrt-cube` `associate-/r/` `distribute-neg-frac` `associate-/l*`
2×	`pow1` `div-exp`
1×	`frac-times` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-l/` `associate-r/` `insert-posit16` `div-inv` `pow-flip` `inv-pow` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

Slowest

5.0ms

(/ 1 (- (* (/ a a) (/ b c))))

series34.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

34.0ms

(/ 1 (- (* (/ a a) (/ b c))))

simplify12.3s

Counts: 50 → 50

prune261.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 5.1b

regimes492.0ms

Accuracy

12.1% (5.9b remaining)

Error of 11.2b against oracle of 5.2b and baseline of 12.0b

bsearch44.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.4s	8487×	body	80	nan
1.3s	4862×	body	160	valid
1.0s	16487×	pre	80	true
519.0ms	1361×	body	320	valid
204.0ms	1777×	body	80	valid