Details

Time bar (total: 14.7s)

sample195.0ms

Algorithm
intervals
Results
69.0ms139×body160valid
35.0ms275×body80nan
31.0ms531×pre80true
22.0ms48×body320valid
10.0ms69×body80valid

simplify113.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.5b

localize31.0ms

Local error

Found 4 expressions with local error:

36.8b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b
(- (* b b) (* (* c a) 4))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.1b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite226.0ms

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
122.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
73.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
15.0ms
(- (* b b) (* (* c a) 4))
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
162.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
101.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
100.0ms
(sqrt (- (* b b) (* (* c a) 4)))
63.0ms
(- (* b b) (* (* c a) 4))

simplify1.9s

Counts
88 → 88

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.5b

localize6.0ms

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

prune110.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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
26.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
21.0ms
(/ (* a c) b)

series61.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
37.0ms
(/ (* a c) b)
24.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify572.0ms

Counts
59 → 59

prune610.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.4b

localize46.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

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
34.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2 a))
22.0ms
(/ (* a c) (sqrt b))
16.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

series198.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
71.0ms
(/ (* a c) (sqrt b))
66.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
61.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2 a))

simplify986.0ms

Counts
166 → 166

prune1.6s

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.4b

regimes528.0ms

Accuracy

11.3% (6.2b remaining)

Error of 11.3b against oracle of 5.1b and baseline of 12.0b

bsearch12.0ms

end0.0ms

sample5.8s

Algorithm
intervals
Results
1.5s8491×body80nan
1.4s4871×body160valid
992.0ms16491×pre80true
683.0ms1322×body320valid
256.0ms1807×body80valid