Details

sample298.0ms

Algorithm

intervals

Results

52.0ms	529×	pre	80	true
40.0ms	103×	body	320	valid
36.0ms	273×	body	80	nan
27.0ms	101×	body	160	valid
12.0ms	22×	body	640	valid
4.0ms	30×	body	80	valid

simplify120.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize27.0ms

Local error

Found 4 expressions with local error:

26.5b	(- (sqrt (fma c (* -4 a) (* b b))) b)
0.1b	(/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)
0.1b	(fma c (* -4 a) (* b b))
0.0b	(sqrt (fma c (* -4 a) (* b b)))

rewrite31.0ms

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

16.0ms	(/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)
9.0ms	(- (sqrt (fma c (* -4 a) (* b b))) b)
1.0ms	(sqrt (fma c (* -4 a) (* b b)))
0.0ms	(fma c (* -4 a) (* b b))

series410.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(sqrt (fma c (* -4 a) (* b b)))
112.0ms	(- (sqrt (fma c (* -4 a) (* b b))) b)
87.0ms	(/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)
86.0ms	(fma c (* -4 a) (* b b))

simplify880.0ms

Counts: 191 → 191

prune2.4s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 49.5b

localize40.0ms

Local error

Found 4 expressions with local error:

52.0b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.1b	(/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)
0.1b	(fma c (* -4 a) (* b b))
0.1b	(fma c (* -4 a) (* b b))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp` `fma-udef`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 106

Calls

4 calls:

Slowest

13.0ms	(/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)
0.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.0ms	(fma c (* -4 a) (* b b))
0.0ms	(fma c (* -4 a) (* b b))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

594.0ms	(/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)
397.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
75.0ms	(fma c (* -4 a) (* b b))
71.0ms	(fma c (* -4 a) (* b b))

simplify2.2s

Counts: 118 → 118

prune1.7s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 49.4b

localize111.0ms

Local error

Found 4 expressions with local error:

52.0b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
52.0b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
52.0b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.5b	(cbrt (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
43×	`cbrt-prod`
39×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`fma-udef`
1×	`cbrt-div` `pow1/3`

Counts

4 → 88

Calls

4 calls:

Slowest

5.0ms	(cbrt (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a))
1.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

569.0ms	(cbrt (/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a))
465.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
404.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
391.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))

simplify2.5s

Counts: 100 → 100

prune1.9s

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 49.4b

localize123.0ms

Local error

Found 4 expressions with local error:

52.0b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
52.0b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
52.0b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.4b	(cbrt (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 47

Calls

4 calls:

Slowest

2.0ms	(cbrt (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)))
1.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
1.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
1.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))

series1.9s

Counts

4 → 12

Calls

4 calls:

Slowest

632.0ms	(cbrt (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)))
444.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
431.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
379.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))

simplify1.5s

Counts: 59 → 59

prune916.0ms

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 49.4b

regimes1.1s

Accuracy

0% (2.5b remaining)

Error of 52.0b against oracle of 49.5b and baseline of 52.0b

bsearch8.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.5s	3648×	body	320	valid
1.4s	8102×	body	80	nan
833.0ms	2936×	body	160	valid
810.0ms	16102×	pre	80	true
537.0ms	909×	body	80	valid
242.0ms	507×	body	640	valid