Details

Time bar (total: 17.5s)

sample124.0ms

Algorithm
intervals
Results
39.0ms44×body2560valid
25.0ms183×body80valid
16.0ms24×body1280valid
12.0ms87×body80nan
4.0ms8×body640valid
3.0ms8×body320valid
2.0ms7×body160valid
1.0ms1×body5120valid

simplify104.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize39.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b_2 b_2) (* a c)))
2.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.2b
(- (* b_2 b_2) (* a c))
0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite84.0ms

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
42.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
20.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
12.0ms
(sqrt (- (* b_2 b_2) (* a c)))
8.0ms
(- (* b_2 b_2) (* a c))

series374.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
112.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
89.0ms
(sqrt (- (* b_2 b_2) (* a c)))
59.0ms
(- (* b_2 b_2) (* a c))

simplify994.0ms

Counts
107 → 107

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize38.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b_2 b_2) (* a c)))
2.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.2b
(- (* b_2 b_2) (* a c))
0.2b
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×*-un-lft-identity
13×associate-*r* add-exp-log add-cube-cbrt
11×times-frac
10×add-log-exp
9×add-cbrt-cube
7×pow1 associate-*l*
5×flip3-- sqrt-prod flip--
4×prod-exp insert-posit16 distribute-lft-out-- difference-of-squares
3×diff-log unswap-sqr
2×frac-times sub-neg distribute-rgt-neg-in 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 → 93
Calls
4 calls:
Slowest
95.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
32.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
15.0ms
(- (* b_2 b_2) (* a c))
11.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
115.0ms
(sqrt (- (* b_2 b_2) (* a c)))
113.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
99.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
54.0ms
(- (* b_2 b_2) (* a c))

simplify1.8s

Counts
105 → 105

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.8b

localize44.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b_2 b_2) (* a c)))
2.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.2b
(- (* 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
37.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
22.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))
8.0ms
(- (* b_2 b_2) (* a c))

series418.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
151.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
115.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
92.0ms
(sqrt (- (* b_2 b_2) (* a c)))
59.0ms
(- (* b_2 b_2) (* a c))

simplify778.0ms

Counts
193 → 193

prune2.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.8b

localize29.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b_2 b_2) (* a c)))
7.7b
(- (/ (- b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a))
0.2b
(- (* b_2 b_2) (* a c))
0.1b
(/ (sqrt (- (* b_2 b_2) (* a c))) a)

rewrite96.0ms

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
54.0ms
(- (/ (- b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))
14.0ms
(/ (sqrt (- (* b_2 b_2) (* a c))) a)
12.0ms
(- (* b_2 b_2) (* a c))

series329.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
109.0ms
(/ (sqrt (- (* b_2 b_2) (* a c))) a)
108.0ms
(- (/ (- b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a))
73.0ms
(sqrt (- (* b_2 b_2) (* a c)))
39.0ms
(- (* b_2 b_2) (* a c))

simplify1.0s

Counts
113 → 113

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.8b

regimes551.0ms

Accuracy

88.5% (3.1b remaining)

Error of 9.0b against oracle of 5.9b and baseline of 33.0b

bsearch296.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.3s5906×body80valid
743.0ms1020×body2560valid
563.0ms893×body1280valid
357.0ms2865×body80nan
187.0ms434×body640valid
125.0ms126×body5120valid
71.0ms223×body320valid
27.0ms120×body160valid