Details

sample131.0ms

Algorithm

intervals

Results

28.0ms	32×	body	2560	valid
28.0ms	199×	body	80	valid
19.0ms	26×	body	1280	valid
13.0ms	97×	body	80	nan
9.0ms	16×	body	640	valid
7.0ms	7×	body	5120	valid
3.0ms	6×	body	320	valid
1.0ms	4×	body	160	valid

simplify111.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize48.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b_2 b_2) (* a c)))
1.1b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.8b	(- (* b_2 b_2) (* a c))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
78×	`*-un-lft-identity`
61×	`prod-diff`
58×	`add-cube-cbrt`
38×	`sqrt-prod`
26×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in` `times-frac`
11×	`fma-neg`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
7×	`neg-mul-1` `associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `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 → 175

Calls

4 calls:

Slowest

86.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
33.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
19.0ms	(sqrt (- (* b_2 b_2) (* a c)))
8.0ms	(- (* b_2 b_2) (* a c))

series389.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
100.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
90.0ms	(sqrt (- (* b_2 b_2) (* a c)))
61.0ms	(- (* b_2 b_2) (* a c))

simplify724.0ms

Counts: 187 → 187

prune2.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.9b

localize29.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b_2 b_2) (* a c)))
1.1b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.8b	(- (* b_2 b_2) (* a c))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
78×	`*-un-lft-identity`
61×	`prod-diff`
58×	`add-cube-cbrt`
38×	`sqrt-prod`
26×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in` `times-frac`
11×	`fma-neg`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
7×	`neg-mul-1` `associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `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 → 175

Calls

4 calls:

Slowest

92.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
34.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
15.0ms	(- (* b_2 b_2) (* a c))
9.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

153.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
104.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
99.0ms	(sqrt (- (* b_2 b_2) (* a c)))
69.0ms	(- (* b_2 b_2) (* a c))

simplify684.0ms

Counts: 187 → 187

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.9b

localize30.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b_2 b_2) (* a c)))
1.1b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.8b	(- (* b_2 b_2) (* a c))
0.2b	(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-sqr-sqrt`
170×	`*-un-lft-identity`
165×	`times-frac`
118×	`add-cube-cbrt`
61×	`prod-diff`
46×	`sqrt-prod`
34×	`distribute-rgt-neg-in`
27×	`associate-/r*`
26×	`distribute-lft-out--` `difference-of-squares`
21×	`distribute-lft-neg-in`
15×	`add-exp-log`
11×	`fma-neg`
10×	`add-log-exp`
9×	`add-cbrt-cube` `associate-/r/`
7×	`neg-mul-1` `flip3--` `div-exp` `flip--`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
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 → 261

Calls

4 calls:

Slowest

41.0ms	(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
33.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
15.0ms	(- (* b_2 b_2) (* a c))
9.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series464.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
111.0ms	(sqrt (- (* b_2 b_2) (* a c)))
95.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
81.0ms	(- (* b_2 b_2) (* a c))

simplify1.2s

Counts: 273 → 273

prune4.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.9b

localize44.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b_2 b_2) (* a c)))
1.1b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.8b	(- (* b_2 b_2) (* a c))
0.3b	(* (/ 1 a) (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

181×	`prod-diff`
146×	`add-sqr-sqrt`
139×	`*-un-lft-identity`
130×	`add-cube-cbrt`
95×	`sqrt-prod`
62×	`distribute-rgt-in` `distribute-lft-in`
59×	`distribute-rgt-neg-in`
57×	`distribute-lft-neg-in`
19×	`neg-mul-1`
13×	`associate-l` `add-exp-log`
11×	`times-frac` `fma-neg`
10×	`add-log-exp`
9×	`add-cbrt-cube`
7×	`pow1` `associate-r`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `sub-neg` `prod-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`diff-log` `unswap-sqr`
2×	`frac-times` `sqrt-div` `div-exp` `associate-*r/` `cbrt-unprod`
1×	`associate--l-` `neg-sub0` `cbrt-undiv` `rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `pow-prod-down` `neg-log` `associate-l/` `-commutative` `div-inv`

Counts

4 → 296

Calls

4 calls:

Slowest

88.0ms	(* (/ 1 a) (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
47.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
17.0ms	(sqrt (- (* b_2 b_2) (* a c)))
16.0ms	(- (* b_2 b_2) (* a c))

series431.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

135.0ms	(* (/ 1 a) (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
119.0ms	(sqrt (- (* b_2 b_2) (* a c)))
110.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
67.0ms	(- (* b_2 b_2) (* a c))

simplify1.3s

Counts: 308 → 308

prune4.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.9b

regimes328.0ms

Accuracy

82.4% (5.0b remaining)

Error of 10.5b against oracle of 5.5b and baseline of 34.0b

bsearch172.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.5s	1141×	body	2560	valid
798.0ms	5730×	body	80	valid
590.0ms	953×	body	1280	valid
336.0ms	2783×	body	80	nan
210.0ms	400×	body	640	valid
151.0ms	96×	body	5120	valid
71.0ms	222×	body	320	valid
34.0ms	145×	body	160	valid