Details

sample485.0ms

Algorithm

intervals

Results

67.0ms	32×	body	2560	valid
62.0ms	32×	body	1280	valid
32.0ms	189×	body	80	valid
17.0ms	79×	body	80	nan
8.0ms	12×	body	640	valid
6.0ms	11×	body	320	valid
2.0ms	6×	body	160	valid
1.0ms	1×	body	5120	valid

simplify94.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize53.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b_2 b_2) (* a c)))
1.7b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.4b	(- (* b_2 b_2) (* a c))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite183.0ms

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

99.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
38.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.0ms	(sqrt (- (* b_2 b_2) (* a c)))
16.0ms	(- (* b_2 b_2) (* a c))

series391.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(sqrt (- (* b_2 b_2) (* a c)))
110.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
96.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
48.0ms	(- (* b_2 b_2) (* a c))

simplify698.0ms

Counts: 187 → 187

prune2.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.8b

localize20.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b_2 b_2) (* a c)))
1.7b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.4b	(- (* b_2 b_2) (* a c))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite148.0ms

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

80.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
36.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
17.0ms	(- (* b_2 b_2) (* a c))
12.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
91.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
71.0ms	(sqrt (- (* b_2 b_2) (* a c)))
38.0ms	(- (* b_2 b_2) (* a c))

simplify813.0ms

Counts: 187 → 187

prune1.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.8b

localize24.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b_2 b_2) (* a c)))
1.7b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.4b	(- (* b_2 b_2) (* a c))
0.2b	(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
61×	`prod-diff`
54×	`add-cube-cbrt`
35×	`sqrt-prod`
23×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
13×	`associate-r` `add-exp-log`
11×	`times-frac` `fma-neg`
10×	`add-log-exp`
9×	`add-cbrt-cube`
7×	`pow1` `neg-mul-1` `associate-l`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`diff-log` `unswap-sqr`
2×	`frac-times` `sub-neg` `sqrt-div` `div-exp` `associate-*l/` `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-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 173

Calls

4 calls:

Slowest

88.0ms	(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
24.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
9.0ms	(sqrt (- (* b_2 b_2) (* a c)))
8.0ms	(- (* b_2 b_2) (* a c))

series326.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
101.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
66.0ms	(sqrt (- (* b_2 b_2) (* a c)))
40.0ms	(- (* b_2 b_2) (* a c))

simplify1.3s

Counts: 185 → 185

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.8b

localize34.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b_2 b_2) (* a c)))
1.7b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.4b	(- (* b_2 b_2) (* a c))
0.6b	(cbrt (/ 1 a))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

61×	`prod-diff`
58×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
53×	`add-cube-cbrt`
34×	`sqrt-prod`
22×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
13×	`cbrt-prod`
11×	`fma-neg`
10×	`add-log-exp`
9×	`times-frac`
7×	`neg-mul-1`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `diff-log` `flip--`
2×	`sub-neg` `sqrt-div` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `neg-sub0` `rem-sqrt-square` `cbrt-div` `sqrt-pow1` `pow1/2` `pow1/3` `neg-log` `div-inv`

Counts

4 → 151

Calls

4 calls:

Slowest

19.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
9.0ms	(sqrt (- (* b_2 b_2) (* a c)))
8.0ms	(- (* b_2 b_2) (* a c))
1.0ms	(cbrt (/ 1 a))

series519.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

271.0ms	(cbrt (/ 1 a))
114.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
96.0ms	(sqrt (- (* b_2 b_2) (* a c)))
38.0ms	(- (* b_2 b_2) (* a c))

simplify1.5s

Counts: 163 → 163

prune2.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.6b

regimes566.0ms

Accuracy

87.5% (3.5b remaining)

Error of 9.1b against oracle of 5.6b and baseline of 33.3b

bsearch250.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

991.0ms	896×	body	1280	valid
671.0ms	1073×	body	2560	valid
621.0ms	5896×	body	80	valid
340.0ms	472×	body	640	valid
323.0ms	2896×	body	80	nan
133.0ms	105×	body	5120	valid
92.0ms	242×	body	320	valid
19.0ms	96×	body	160	valid