Details

sample337.0ms

Algorithm

intervals

Results

76.0ms	88×	body	160	valid
48.0ms	116×	body	320	valid
34.0ms	245×	body	80	nan
31.0ms	501×	pre	80	true
15.0ms	22×	body	640	valid
4.0ms	30×	body	80	valid

simplify158.0ms

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.1b

localize34.0ms

Local error

Found 4 expressions with local error:

25.2b	(- (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)))

rewrite159.0ms

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

90.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
47.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
12.0ms	(- (* b b) (* (* c a) 4))
8.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

218.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
154.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
78.0ms	(sqrt (- (* b b) (* (* c a) 4)))
45.0ms	(- (* b b) (* (* c a) 4))

simplify1.9s

Counts: 88 → 88

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

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

prune47.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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

35.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
10.0ms	(/ (* a c) b)

series57.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

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

simplify520.0ms

Counts: 59 → 59

prune510.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (* -2 (* a c)) (* (* 2 a) b))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
1×	`add-sqr-sqrt` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `times-frac` `add-cube-cbrt` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

Slowest

54.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

22.0ms

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

simplify596.0ms

Counts: 35 → 35

prune310.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 3.0b

regimes815.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch2.0ms

end0.0ms

sample6.5s

Algorithm

intervals

Results

1.7s	3594×	body	320	valid
1.5s	2949×	body	160	valid
1.3s	8113×	body	80	nan
1.0s	16113×	pre	80	true
354.0ms	525×	body	640	valid
128.0ms	932×	body	80	valid