Details

sample103.0ms

Algorithm

intervals

Results

25.0ms	153×	body	160	valid
19.0ms	239×	body	80	nan
19.0ms	495×	pre	80	true
12.0ms	47×	body	320	valid
10.0ms	56×	body	80	valid

simplify130.0ms

Counts: 1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.1b

localize31.0ms

Local error

Found 4 expressions with local error:

38.4b	(- (sqrt (fma b b (* c (* -4 a)))) b)
0.1b	(/ (/ (- (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)))

rewrite32.0ms

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

20.0ms	(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
8.0ms	(- (sqrt (fma b b (* c (* -4 a)))) b)
1.0ms	(sqrt (fma b b (* c (* -4 a))))
0.0ms	(fma b b (* c (* -4 a)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
117.0ms	(sqrt (fma b b (* c (* -4 a))))
103.0ms	(- (sqrt (fma b b (* c (* -4 a)))) b)
60.0ms	(fma b b (* c (* -4 a)))

simplify1.0s

Counts: 191 → 191

prune2.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.7b

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

prune101.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.7b

localize17.0ms

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

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

25.0ms	(/ (/ (* -2 (/ (* a c) b)) 2) a)
17.0ms	(/ (* a c) b)

series72.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

40.0ms	(/ (/ (* -2 (/ (* a c) b)) 2) a)
31.0ms	(/ (* a c) b)

simplify575.0ms

Counts: 85 → 85

prune871.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 4.6b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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

31.0ms	(/ (/ (* -2 (/ a (/ b c))) 2) a)
13.0ms	(/ a (/ b c))

series81.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

41.0ms	(/ (/ (* -2 (/ a (/ b c))) 2) a)
40.0ms	(/ a (/ b c))

simplify890.0ms

Counts: 134 → 134

prune1.2s

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 4.6b

regimes684.0ms

Accuracy

0% (7.0b remaining)

Error of 12.1b against oracle of 5.0b and baseline of 12.1b

bsearch2.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.4s	4869×	body	160	valid
1.1s	8370×	body	80	nan
986.0ms	16370×	pre	80	true
630.0ms	1344×	body	320	valid
595.0ms	1787×	body	80	valid