Details

sample98.0ms

Algorithm

intervals

Results

29.0ms	150×	body	160	valid
21.0ms	267×	body	80	nan
21.0ms	523×	pre	80	true
9.0ms	106×	body	80	valid

simplify140.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize36.0ms

Local error

Found 4 expressions with local error:

29.3b	(- (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)))

rewrite119.0ms

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

64.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
38.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
8.0ms	(- (* b b) (* (* c a) 4))
8.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
103.0ms	(sqrt (- (* b b) (* (* c a) 4)))
100.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
47.0ms	(- (* b b) (* (* c a) 4))

simplify2.1s

Counts: 88 → 88

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.0b

localize10.0ms

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

prune78.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* 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))
17.0ms	(/ (* a c) b)

series67.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

37.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
30.0ms	(/ (* a c) b)

simplify574.0ms

Counts: 59 → 59

prune623.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 8.9b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

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

62.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

34.0ms

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

simplify584.0ms

Counts: 35 → 35

prune246.0ms

Pruning

26 alts after pruning (24 fresh and 2 done)

Merged error: 8.9b

regimes708.0ms

Accuracy

45.7% (7.5b remaining)

Error of 16.6b against oracle of 9.2b and baseline of 23.0b

bsearch48.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.4s	16642×	pre	80	true
1.3s	4413×	body	160	valid
1.2s	8642×	body	80	nan
477.0ms	3587×	body	80	valid