Details

sample136.0ms

Algorithm

intervals

Results

40.0ms	263×	body	80	nan
33.0ms	141×	body	160	valid
27.0ms	519×	pre	80	true
13.0ms	115×	body	80	valid

simplify149.0ms

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize33.0ms

Local error

Found 4 expressions with local error:

29.1b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.3b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.2b	(- (* b b) (* (* c a) 4))
0.1b	(sqrt (- (* b b) (* (* c a) 4)))

rewrite148.0ms

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

85.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
47.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
7.0ms	(- (* b b) (* (* c a) 4))
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
120.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
86.0ms	(sqrt (- (* b b) (* (* c a) 4)))
59.0ms	(- (* b b) (* (* c a) 4))

simplify422.0ms

Counts: 105 → 88

prune772.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.4b

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

prune51.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.4b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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

16.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
8.0ms	(/ (* a c) b)

series44.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

24.0ms	(/ (* a c) b)
20.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify479.0ms

Counts: 65 → 59

prune510.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 8.3b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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

9.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

31.0ms

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

simplify627.0ms

Counts: 68 → 50

prune215.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 8.3b

regimes402.0ms

Accuracy

43.3% (7.6b remaining)

Error of 16.9b against oracle of 9.3b and baseline of 22.7b

bsearch59.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.5s	8539×	body	80	nan
1.4s	4484×	body	160	valid
990.0ms	16539×	pre	80	true
488.0ms	3516×	body	80	valid