Details

sample202.0ms

Algorithm

intervals

Results

51.0ms	329×	body	80	nan
49.0ms	149×	body	160	valid
48.0ms	585×	pre	80	true
17.0ms	107×	body	80	valid

simplify141.0ms

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.0b

localize22.0ms

Local error

Found 4 expressions with local error:

29.0b	(- (sqrt (fma b b (* c (* -4 a)))) b)
0.3b	(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
0.1b	(sqrt (fma b b (* c (* -4 a))))
0.0b	(fma b b (* c (* -4 a)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
135×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
82×	`add-cube-cbrt`
28×	`sqrt-prod`
26×	`difference-of-squares`
22×	`associate-/l*`
18×	`prod-diff`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube` `add-exp-log`
6×	`fma-neg` `add-log-exp`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`div-sub`
1×	`rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `fma-udef` `flip--` `associate-/l/`

Counts

4 → 179

Calls

4 calls:

Slowest

26.0ms	(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
10.0ms	(- (sqrt (fma b b (* c (* -4 a)))) b)
4.0ms	(sqrt (fma b b (* c (* -4 a))))
0.0ms	(fma b b (* c (* -4 a)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
116.0ms	(- (sqrt (fma b b (* c (* -4 a)))) b)
101.0ms	(sqrt (fma b b (* c (* -4 a))))
65.0ms	(fma b b (* c (* -4 a)))

simplify888.0ms

Counts: 191 → 191

prune2.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.8b

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

prune69.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.8b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
27×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
6×	`associate-/r*` `div-inv`
5×	`prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 79

Calls

2 calls:

Slowest

22.0ms	(/ (/ (* -2 (/ (* a c) b)) 2) a)
9.0ms	(/ (* a c) b)

series41.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

21.0ms	(/ (* a c) b)
20.0ms	(/ (/ (* -2 (/ (* a c) b)) 2) a)

simplify3.1s

Counts: 85 → 85

prune906.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 8.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 2 (/ c b))
0.2b	(/ (/ -2 1) (/ 2 (/ c b)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

1976×	`times-frac`
849×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
107×	`div-inv`
57×	`associate-/r*`
37×	`add-exp-log`
28×	`add-cbrt-cube`
27×	`div-exp`
18×	`cbrt-undiv`
16×	`associate-/r/` `associate-/l*`
3×	`1-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 732

Calls

2 calls:

Slowest

21.0ms	(/ (/ -2 1) (/ 2 (/ c b)))
9.0ms	(/ 2 (/ c b))

series50.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

25.0ms	(/ (/ -2 1) (/ 2 (/ c b)))
25.0ms	(/ 2 (/ c b))

simplify2.1s

Counts: 738 → 738

prune6.1s

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 8.6b

regimes981.0ms

Accuracy

44.9% (7.6b remaining)

Error of 16.6b against oracle of 9.0b and baseline of 22.7b

bsearch33.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.7s	4515×	body	160	valid
1.5s	8563×	body	80	nan
951.0ms	16563×	pre	80	true
441.0ms	3485×	body	80	valid