Details

Time bar (total: 16.0s)

sample304.0ms

Algorithm
intervals
Results
75.0ms511×pre80true
55.0ms125×body320valid
36.0ms255×body80nan
26.0ms83×body160valid
15.0ms20×body640valid
4.0ms28×body80valid

simplify105.0ms

Counts
1 → 1
Iterations
IterNodes
done116
5116
4107
382
245
124
014

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4))) b) 2) a)
23.2b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
add-cbrt-cube add-exp-log
add-log-exp
pow1 div-inv
insert-posit16
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 153
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))
15.0ms
(- (* b b) (* (* c a) 4))
104.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4))) b) 2) a)
46.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series431.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(sqrt (- (* b b) (* (* c a) 4)))
52.0ms
(- (* b b) (* (* c a) 4))
147.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4))) b) 2) a)
128.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.8s

Counts
165 → 165
Iterations
IterNodes
done5001
22932
1691
0279

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune59.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.6b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 add-log-exp
associate-/l/
Counts
2 → 75
Calls
2 calls:
18.0ms
(/ (* a c) b)
41.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)

series55.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* a c) b)
34.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)

simplify1.5s

Counts
81 → 81
Iterations
IterNodes
done5001
22597
1467
0169

prune423.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2) a)
0.3b
(/ a (sqrt b))
0.3b
(/ c (sqrt b))
0.4b
(* (/ a (sqrt b)) (/ c (sqrt b)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
106×add-sqr-sqrt
76×*-un-lft-identity add-cube-cbrt
53×add-cbrt-cube add-exp-log
48×sqrt-prod
23×cbrt-undiv div-exp
22×associate-*r* associate-*l*
15×associate-/r*
13×prod-exp cbrt-unprod associate-/l*
div-inv unswap-sqr
pow1
insert-posit16 add-log-exp
clear-num frac-2neg
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 211
Calls
4 calls:
65.0ms
(/ (/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2) a)
10.0ms
(/ a (sqrt b))
9.0ms
(/ c (sqrt b))
33.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2) a)
53.0ms
(/ a (sqrt b))
78.0ms
(/ c (sqrt b))
45.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify1.4s

Counts
223 → 223
Iterations
IterNodes
done5000
11058
0360

prune998.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 2.5b

regimes501.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample6.3s

Algorithm
intervals
Results
2.3s3666×body320valid
1.2s8268×body80nan
1.0s16268×pre80true
928.0ms2943×body160valid
321.0ms490×body640valid
153.0ms901×body80valid