Details

sample192.0ms

Algorithm

intervals

Results

64.0ms	150×	body	160	valid
35.0ms	266×	body	80	nan
32.0ms	522×	pre	80	true
26.0ms	62×	body	320	valid
6.0ms	44×	body	80	valid

simplify117.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.0b

localize31.0ms

Local error

Found 4 expressions with local error:

39.0b	(- (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))
0.1b	(sqrt (- (* b b) (* (* c a) 4)))

rewrite168.0ms

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

97.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
51.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
11.0ms	(- (* b b) (* (* c a) 4))
8.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
125.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
100.0ms	(sqrt (- (* b b) (* (* c a) 4)))
64.0ms	(- (* b b) (* (* c a) 4))

simplify2.3s

Counts: 88 → 88

prune832.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.0b

localize5.0ms

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

prune57.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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))
16.0ms	(/ (* a c) b)

series56.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

30.0ms	(/ (* a c) b)
25.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify515.0ms

Counts: 59 → 59

prune598.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 4.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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

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

series74.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

38.0ms	(/ (* a c) b)
35.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify570.0ms

Counts: 59 → 59

prune464.0ms

Pruning

24 alts after pruning (22 fresh and 2 done)

Merged error: 4.0b

regimes434.0ms

Accuracy

12.5% (5.9b remaining)

Error of 10.9b against oracle of 5.1b and baseline of 11.8b

bsearch56.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.6s	8110×	body	80	nan
1.5s	4883×	body	160	valid
1.1s	16110×	pre	80	true
719.0ms	1738×	body	80	valid
590.0ms	1379×	body	320	valid