Details

sample184.0ms

Algorithm

intervals

Results

23.0ms	36×	body	2560	valid
18.0ms	197×	body	80	valid
14.0ms	28×	body	1280	valid
10.0ms	15×	body	640	valid
9.0ms	93×	body	80	nan
2.0ms	3×	body	5120	valid
2.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify75.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.7b

localize26.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
0.4b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite125.0ms

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

61.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
22.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
21.0ms	(sqrt (- (* b_2 b_2) (* a c)))
17.0ms	(- (* b_2 b_2) (* a c))

series310.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

106.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
79.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
76.0ms	(sqrt (- (* b_2 b_2) (* a c)))
48.0ms	(- (* b_2 b_2) (* a c))

simplify521.0ms

Counts: 187 → 187

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize46.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
0.4b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.1b	(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))

rewrite152.0ms

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

83.0ms	(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
30.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
19.0ms	(sqrt (- (* b_2 b_2) (* a c)))
16.0ms	(- (* b_2 b_2) (* a c))

series330.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
90.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
78.0ms	(sqrt (- (* b_2 b_2) (* a c)))
60.0ms	(- (* b_2 b_2) (* a c))

simplify653.0ms

Counts: 185 → 185

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.7b

localize20.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
0.4b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite118.0ms

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

63.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
20.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
19.0ms	(- (* b_2 b_2) (* a c))
12.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
92.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
88.0ms	(sqrt (- (* b_2 b_2) (* a c)))
46.0ms	(- (* b_2 b_2) (* a c))

simplify634.0ms

Counts: 187 → 187

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.7b

localize51.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b_2 b_2) (* a c)))
24.8b	(sqrt (- (* b_2 b_2) (* a c)))
24.8b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

Slowest

15.0ms	(sqrt (- (* b_2 b_2) (* a c)))
10.0ms	(sqrt (- (* b_2 b_2) (* a c)))
10.0ms	(sqrt (- (* b_2 b_2) (* a c)))
8.0ms	(- (* b_2 b_2) (* a c))

series335.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(sqrt (- (* b_2 b_2) (* a c)))
89.0ms	(sqrt (- (* b_2 b_2) (* a c)))
80.0ms	(sqrt (- (* b_2 b_2) (* a c)))
71.0ms	(- (* b_2 b_2) (* a c))

simplify1.8s

Counts: 83 → 83

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.7b

regimes527.0ms

Accuracy

85.1% (4.2b remaining)

Error of 9.8b against oracle of 5.7b and baseline of 33.6b

bsearch122.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.3s	1080×	body	2560	valid
923.0ms	5905×	body	80	valid
581.0ms	894×	body	1280	valid
358.0ms	2917×	body	80	nan
246.0ms	465×	body	640	valid
129.0ms	228×	body	320	valid
96.0ms	106×	body	5120	valid
53.0ms	96×	body	160	valid