Details

sample75.0ms

Algorithm

intervals

Results

18.0ms	29×	body	2560	valid
17.0ms	191×	body	80	valid
11.0ms	26×	body	1280	valid
6.0ms	80×	body	80	nan
6.0ms	18×	body	640	valid
3.0ms	8×	body	320	valid
1.0ms	3×	body	5120	valid
0.0ms	2×	body	160	valid

simplify64.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize26.0ms

Local error

Found 4 expressions with local error:

20.9b	(sqrt (- (* b_2 b_2) (* a c)))
1.0b	(- (* b_2 b_2) (* a c))
0.3b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
8×	`sqrt-prod`
7×	`associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `distribute-rgt-neg-in`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*` `diff-log`
2×	`sub-neg` `sqrt-div` `associate-/l/`
1×	`associate--l-` `neg-sub0` `cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `neg-log` `div-inv`

Counts

4 → 95

Calls

4 calls:

Slowest

64.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
18.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
7.0ms	(- (* b_2 b_2) (* a c))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
109.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
98.0ms	(sqrt (- (* b_2 b_2) (* a c)))
54.0ms	(- (* b_2 b_2) (* a c))

simplify1.2s

Counts: 107 → 107

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.6b

localize24.0ms

Local error

Found 4 expressions with local error:

20.9b	(sqrt (- (* b_2 b_2) (* a c)))
1.0b	(- (* b_2 b_2) (* a c))
0.3b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.2b	(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
130×	`add-sqr-sqrt`
129×	`*-un-lft-identity`
77×	`add-cube-cbrt`
27×	`associate-/r*`
26×	`distribute-lft-out--` `difference-of-squares`
16×	`sqrt-prod`
15×	`add-exp-log`
13×	`distribute-rgt-neg-in`
10×	`add-log-exp`
9×	`add-cbrt-cube` `associate-/r/`
7×	`flip3--` `div-exp` `flip--`
6×	`pow1`
5×	`div-inv`
4×	`insert-posit16`
3×	`cbrt-undiv` `diff-log` `associate-/l*`
2×	`rec-exp` `sub-neg` `sqrt-div` `1-exp`
1×	`associate--l-` `neg-sub0` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `neg-log` `pow-flip` `inv-pow`

Counts

4 → 181

Calls

4 calls:

Slowest

48.0ms	(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
14.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
7.0ms	(- (* b_2 b_2) (* a c))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
104.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
102.0ms	(sqrt (- (* b_2 b_2) (* a c)))
69.0ms	(- (* b_2 b_2) (* a c))

simplify824.0ms

Counts: 193 → 193

prune2.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.6b

localize23.0ms

Local error

Found 4 expressions with local error:

20.9b	(sqrt (- (* b_2 b_2) (* a c)))
1.0b	(- (* b_2 b_2) (* a c))
0.3b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.3b	(/ (/ 1 a) (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

897×	`times-frac`
528×	`add-sqr-sqrt`
527×	`*-un-lft-identity`
355×	`add-cube-cbrt`
86×	`distribute-lft-out--` `difference-of-squares`
46×	`sqrt-prod`
44×	`add-exp-log`
43×	`distribute-rgt-neg-in` `div-inv`
32×	`div-exp`
29×	`associate-/r/`
27×	`associate-/r*`
17×	`flip3--` `flip--`
16×	`add-cbrt-cube`
13×	`associate-/l*`
10×	`add-log-exp`
8×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1`
4×	`insert-posit16`
3×	`diff-log`
2×	`sub-neg` `sqrt-div`
1×	`associate--l-` `neg-sub0` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `neg-log` `associate-/l/`

Counts

4 → 472

Calls

4 calls:

Slowest

38.0ms	(/ (/ 1 a) (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
23.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
14.0ms	(- (* b_2 b_2) (* a c))
12.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

135.0ms	(/ (/ 1 a) (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
120.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
83.0ms	(sqrt (- (* b_2 b_2) (* a c)))
52.0ms	(- (* b_2 b_2) (* a c))

simplify1.1s

Counts: 484 → 484

prune5.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.6b

localize31.0ms

Local error

Found 4 expressions with local error:

20.9b	(sqrt (- (* b_2 b_2) (* a c)))
4.8b	(- (/ (- b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a))
1.0b	(- (* b_2 b_2) (* a c))
0.1b	(/ (sqrt (- (* b_2 b_2) (* a c))) a)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`times-frac`
24×	`add-cube-cbrt`
17×	`sqrt-prod`
8×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `sqrt-div` `insert-posit16` `flip--`
3×	`associate-/r*` `distribute-rgt-neg-in` `div-inv`
2×	`sub-neg` `diff-log` `associate-/l/`
1×	`associate--l-` `neg-sub0` `cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `distribute-rgt-out--` `pow1/2` `div-sub` `div-exp` `frac-sub` `sub-div`

Counts

4 → 101

Calls

4 calls:

Slowest

36.0ms	(- (/ (- b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a))
28.0ms	(/ (sqrt (- (* b_2 b_2) (* a c))) a)
13.0ms	(sqrt (- (* b_2 b_2) (* a c)))
12.0ms	(- (* b_2 b_2) (* a c))

series320.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(/ (sqrt (- (* b_2 b_2) (* a c))) a)
100.0ms	(- (/ (- b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a))
66.0ms	(sqrt (- (* b_2 b_2) (* a c)))
42.0ms	(- (* b_2 b_2) (* a c))

simplify1.1s

Counts: 113 → 113

prune926.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.6b

regimes252.0ms

Accuracy

84% (4.4b remaining)

Error of 9.6b against oracle of 5.3b and baseline of 32.6b

bsearch155.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

915.0ms	5875×	body	80	valid
798.0ms	844×	body	1280	valid
788.0ms	1081×	body	2560	valid
246.0ms	2799×	body	80	nan
164.0ms	458×	body	640	valid
77.0ms	113×	body	5120	valid
58.0ms	222×	body	320	valid
18.0ms	103×	body	160	valid