Details

sample162.0ms

Algorithm

intervals

Results

21.0ms	44×	body	2560	valid
16.0ms	174×	body	80	valid
13.0ms	32×	body	1280	valid
7.0ms	96×	body	80	nan
5.0ms	17×	body	640	valid
4.0ms	7×	body	5120	valid
2.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify66.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize25.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b_2 b_2) (* a c)))
0.8b	(- (* b_2 b_2) (* a c))
0.6b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`add-cube-cbrt`
20×	`sqrt-prod`
19×	`prod-diff`
18×	`times-frac`
10×	`difference-of-squares`
8×	`add-log-exp`
7×	`fma-neg`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 122

Calls

4 calls:

Slowest

67.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
38.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
19.0ms	(sqrt (- (* b_2 b_2) (* a c)))
8.0ms	(- (* b_2 b_2) (* a c))

series335.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
86.0ms	(sqrt (- (* b_2 b_2) (* a c)))
84.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
54.0ms	(- (* b_2 b_2) (* a c))

simplify1.4s

Counts: 134 → 134

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.7b

localize37.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b_2 b_2) (* a c)))
0.8b	(- (* b_2 b_2) (* a c))
0.6b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b	(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
137×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
84×	`add-cube-cbrt`
28×	`sqrt-prod`
26×	`difference-of-squares`
24×	`associate-/r*`
19×	`prod-diff`
15×	`add-exp-log`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube` `associate-/r/`
8×	`add-log-exp`
7×	`flip3--` `fma-neg` `div-exp` `flip--`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `sub-neg` `sqrt-div` `diff-log` `1-exp`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-flip` `inv-pow`

Counts

4 → 200

Calls

4 calls:

Slowest

63.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
46.0ms	(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
14.0ms	(sqrt (- (* b_2 b_2) (* a c)))
8.0ms	(- (* b_2 b_2) (* a c))

series401.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
102.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
79.0ms	(sqrt (- (* b_2 b_2) (* a c)))
44.0ms	(- (* b_2 b_2) (* a c))

simplify967.0ms

Counts: 212 → 212

prune2.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.7b

localize45.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b_2 b_2) (* a c)))
22.9b	(sqrt (- (* b_2 b_2) (* a c)))
0.8b	(- (* b_2 b_2) (* a c))
0.8b	(- (* b_2 b_2) (* a c))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 70

Calls

4 calls:

Slowest

20.0ms	(- (* b_2 b_2) (* a c))
17.0ms	(sqrt (- (* b_2 b_2) (* a c)))
16.0ms	(sqrt (- (* b_2 b_2) (* a c)))
14.0ms	(- (* b_2 b_2) (* a c))

series297.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(sqrt (- (* b_2 b_2) (* a c)))
73.0ms	(sqrt (- (* b_2 b_2) (* a c)))
66.0ms	(- (* b_2 b_2) (* a c))
39.0ms	(- (* b_2 b_2) (* a c))

simplify1.3s

Counts: 82 → 82

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.7b

localize59.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b_2 b_2) (* a c)))
22.9b	(sqrt (- (* b_2 b_2) (* a c)))
0.8b	(- (* b_2 b_2) (* a c))
0.8b	(- (* b_2 b_2) (* a c))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 70

Calls

4 calls:

Slowest

10.0ms	(sqrt (- (* b_2 b_2) (* a c)))
9.0ms	(sqrt (- (* b_2 b_2) (* a c)))
8.0ms	(- (* b_2 b_2) (* a c))
8.0ms	(- (* b_2 b_2) (* a c))

series707.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

497.0ms	(sqrt (- (* b_2 b_2) (* a c)))
85.0ms	(sqrt (- (* b_2 b_2) (* a c)))
63.0ms	(- (* b_2 b_2) (* a c))
61.0ms	(- (* b_2 b_2) (* a c))

simplify1.4s

Counts: 82 → 82

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.7b

regimes407.0ms

Accuracy

82.5% (4.8b remaining)

Error of 10.3b against oracle of 5.5b and baseline of 32.8b

bsearch174.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

896.0ms	1066×	body	2560	valid
836.0ms	5944×	body	80	valid
683.0ms	881×	body	1280	valid
535.0ms	112×	body	5120	valid
356.0ms	2791×	body	80	nan
190.0ms	423×	body	640	valid
102.0ms	213×	body	320	valid
24.0ms	106×	body	160	valid