Details

sample342.0ms

Algorithm

intervals

Results

77.0ms	115×	body	320	valid
35.0ms	501×	pre	80	true
32.0ms	245×	body	80	nan
29.0ms	94×	body	160	valid
6.0ms	11×	body	640	valid
5.0ms	36×	body	80	valid

simplify144.0ms

Counts: 1 → 1

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.3b

localize49.0ms

Local error

Found 4 expressions with local error:

25.8b	(- (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)))

rewrite72.0ms

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

33.0ms	(/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)
28.0ms	(- (sqrt (fma c (* -4 a) (* b b))) b)
2.0ms	(sqrt (fma c (* -4 a) (* b b)))
0.0ms	(fma c (* -4 a) (* b b))

series470.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

164.0ms	(- (sqrt (fma c (* -4 a) (* b b))) b)
119.0ms	(/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)
94.0ms	(fma c (* -4 a) (* b b))
93.0ms	(sqrt (fma c (* -4 a) (* b b)))

simplify870.0ms

Counts: 191 → 191

prune2.4s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 47.1b

localize29.0ms

Local error

Found 4 expressions with local error:

49.7b	(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))

rewrite14.0ms

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

12.0ms	(/ (/ (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 c (* -4 a) (* b b))
0.0ms	(fma c (* -4 a) (* b b))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

624.0ms	(/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)
419.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
89.0ms	(fma c (* -4 a) (* b b))
61.0ms	(fma c (* -4 a) (* b b))

simplify1.7s

Counts: 118 → 118

prune1.6s

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 47.1b

localize108.0ms

Local error

Found 4 expressions with local error:

49.7b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
49.7b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
49.7b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.6b	(cbrt a)

rewrite2.0ms

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

1.0ms	(cbrt a)
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))
0.0ms	(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

835.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
417.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
401.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
279.0ms	(cbrt a)

simplify1.0s

Counts: 59 → 59

prune1.4s

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 47.0b

localize140.0ms

Local error

Found 4 expressions with local error:

49.7b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
49.7b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
49.7b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.8b	(expm1 (log1p (cbrt a)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

Slowest

0.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.0ms	(expm1 (log1p (cbrt a)))
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

490.0ms	(expm1 (log1p (cbrt a)))
463.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
434.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
428.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))

simplify930.0ms

Counts: 57 → 57

prune1.1s

Pruning

41 alts after pruning (41 fresh and 0 done)

Merged error: 47.0b

regimes1.2s

Accuracy

0% (2.6b remaining)

Error of 52.0b against oracle of 49.4b and baseline of 52.0b

bsearch7.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

1.8s	3610×	body	320	valid
1.4s	16258×	pre	80	true
1.2s	8258×	body	80	nan
748.0ms	2972×	body	160	valid
405.0ms	537×	body	640	valid
101.0ms	881×	body	80	valid