Details

sample143.0ms

Algorithm

intervals

Results

39.0ms	495×	pre	80	true
34.0ms	153×	body	160	valid
26.0ms	239×	body	80	nan
16.0ms	47×	body	320	valid
6.0ms	56×	body	80	valid

simplify143.0ms

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize48.0ms

Local error

Found 4 expressions with local error:

38.4b	(- (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)))

rewrite139.0ms

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

73.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
40.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
12.0ms	(- (* b b) (* (* c a) 4))
12.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
100.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
85.0ms	(sqrt (- (* b b) (* (* c a) 4)))
63.0ms	(- (* b b) (* (* c a) 4))

simplify1.9s

Counts: 88 → 88

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.9b

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

prune70.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.9b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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

30.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
13.0ms	(/ (* a c) b)

series48.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

27.0ms	(/ (* a c) b)
20.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify555.0ms

Counts: 59 → 59

prune567.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.8b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
39×	`add-cbrt-cube` `add-exp-log`
17×	`cbrt-undiv` `div-exp`
14×	`associate-/r*`
10×	`prod-exp` `cbrt-unprod`
6×	`div-inv`
4×	`associate-/l*`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

2 → 102

Calls

2 calls:

Slowest

30.0ms	(/ (* -2 (/ a (/ b c))) (* 2 a))
11.0ms	(/ a (/ b c))

series63.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

36.0ms	(/ (* -2 (/ a (/ b c))) (* 2 a))
27.0ms	(/ a (/ b c))

simplify701.0ms

Counts: 108 → 108

prune856.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 4.8b

regimes533.0ms

Accuracy

0% (6.9b remaining)

Error of 12.1b against oracle of 5.1b and baseline of 12.1b

bsearch1.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.8s	4869×	body	160	valid
1.1s	8370×	body	80	nan
1.0s	16370×	pre	80	true
519.0ms	1344×	body	320	valid
221.0ms	1787×	body	80	valid