Details

Time bar (total: 16.1s)

sample346.0ms

Algorithm
intervals
Results
98.0ms529×pre80true
49.0ms103×body320valid
44.0ms273×body80nan
32.0ms101×body160valid
14.0ms22×body640valid
5.0ms30×body80valid

simplify174.0ms

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize47.0ms

Local error

Found 4 expressions with local error:

26.5b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.1b
(- (* b b) (* (* c a) 4))
0.0b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Counts
4 → 76
Calls
4 calls:
Slowest
91.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
48.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))
13.0ms
(- (* b b) (* (* c a) 4))

series451.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
161.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
131.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
97.0ms
(sqrt (- (* b b) (* (* c a) 4)))
61.0ms
(- (* b b) (* (* c a) 4))

simplify2.6s

Counts
88 → 88

prune984.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.9b

localize5.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0

prune48.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.2b
(/ (* -2 (/ (* a c) b)) (* 2 a))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
Slowest
27.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
9.0ms
(/ (* a c) b)

series75.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
39.0ms
(/ (* a c) b)
36.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify575.0ms

Counts
59 → 59

prune565.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.9b

localize31.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* a c) (sqrt b))
0.4b
(/ (/ (* a c) (sqrt b)) (sqrt b))
0.2b
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2 a))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
109×times-frac
62×add-cbrt-cube add-exp-log
60×sqrt-prod
50×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×cbrt-undiv div-exp
17×prod-exp cbrt-unprod
13×associate-/r*
12×associate-/l*
10×div-inv
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×associate-/l/
1×associate-*r/
Counts
3 → 157
Calls
3 calls:
Slowest
50.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2 a))
23.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
18.0ms
(/ (* a c) (sqrt b))

series167.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
62.0ms
(/ (* a c) (sqrt b))
60.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
45.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2 a))

simplify970.0ms

Counts
166 → 166

prune2.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.9b

regimes429.0ms

Accuracy

0% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
1.6s3648×body320valid
1.2s8102×body80nan
1.1s16102×pre80true
912.0ms2936×body160valid
755.0ms507×body640valid
114.0ms909×body80valid