Details

sample114.0ms

Algorithm

intervals

Results

29.0ms	151×	body	160	valid
26.0ms	230×	body	80	nan
21.0ms	486×	pre	80	true
15.0ms	53×	body	320	valid
5.0ms	52×	body	80	valid

simplify159.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.5b

localize25.0ms

Local error

Found 4 expressions with local error:

37.9b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.2b	(/ (- (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

70.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
49.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
12.0ms	(- (* b b) (* (* c a) 4))
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
99.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
94.0ms	(sqrt (- (* b b) (* (* c a) 4)))
63.0ms	(- (* b b) (* (* c a) 4))

simplify448.0ms

Counts: 105 → 88

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.4b

localize6.0ms

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

prune60.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.4b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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

36.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
16.0ms	(/ (* a c) b)

series71.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

36.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
35.0ms	(/ (* a c) b)

simplify596.0ms

Counts: 65 → 59

prune590.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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

16.0ms	(/ (* -2 (/ a (/ b c))) (* 2 a))
10.0ms	(/ a (/ b c))

series62.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

32.0ms	(/ (* -2 (/ a (/ b c))) (* 2 a))
30.0ms	(/ a (/ b c))

simplify688.0ms

Counts: 150 → 108

prune884.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.4b

regimes540.0ms

Accuracy

0% (6.6b remaining)

Error of 11.7b against oracle of 5.1b and baseline of 11.7b

bsearch1.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.5s	16429×	pre	80	true
1.4s	4897×	body	160	valid
1.2s	8429×	body	80	nan
635.0ms	1359×	body	320	valid
244.0ms	1744×	body	80	valid