Details

sample148.0ms

Algorithm

intervals

Results

38.0ms	137×	body	160	valid
34.0ms	249×	body	80	nan
29.0ms	505×	pre	80	true
17.0ms	119×	body	80	valid

simplify138.0ms

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize47.0ms

Local error

Found 4 expressions with local error:

28.3b	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.2b	(/ (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) 2) a)
0.2b	(- (* b b) (* (* 4 a) c))
0.1b	(sqrt (- (* b b) (* (* 4 a) c)))

rewrite147.0ms

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*`
19×	`prod-diff`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`fma-neg`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `flip3--` `div-exp` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `div-sub`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/l/`

Counts

4 → 187

Calls

4 calls:

Slowest

70.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) 2) a)
57.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
9.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(- (* b b) (* (* 4 a) c))

series436.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) 2) a)
98.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
91.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
82.0ms	(- (* b b) (* (* 4 a) c))

simplify780.0ms

Counts: 199 → 199

prune2.5s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.8b

localize11.0ms

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

prune111.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 8.8b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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

29.0ms	(/ (/ (* -2 (/ (* a c) b)) 2) a)
11.0ms	(/ (* a c) b)

series67.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

34.0ms	(/ (/ (* -2 (/ (* a c) b)) 2) a)
33.0ms	(/ (* a c) b)

simplify501.0ms

Counts: 85 → 85

prune958.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 8.8b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
15×	`cbrt-undiv` `div-exp`
10×	`div-inv` `associate-/l*`
3×	`prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

2 → 128

Calls

2 calls:

Slowest

26.0ms	(/ (/ (* -2 (/ a (/ b c))) 2) a)
10.0ms	(/ a (/ b c))

series75.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

43.0ms	(/ a (/ b c))
32.0ms	(/ (/ (* -2 (/ a (/ b c))) 2) a)

simplify738.0ms

Counts: 134 → 134

prune1.6s

Pruning

43 alts after pruning (42 fresh and 1 done)

Merged error: 8.8b

regimes1.1s

Accuracy

46.2% (7.4b remaining)

Error of 16.3b against oracle of 8.9b and baseline of 22.7b

bsearch47.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.3s	4487×	body	160	valid
1.3s	8489×	body	80	nan
930.0ms	16489×	pre	80	true
637.0ms	3513×	body	80	valid