Details

Time bar (total: 14.3s)

sample231.0ms

Algorithm
intervals
Results
30.0ms111×body320valid
25.0ms275×body80nan
21.0ms531×pre80true
18.0ms98×body160valid
5.0ms13×body640valid
3.0ms34×body80valid

simplify131.0ms

Counts
1 → 1
Iterations
IterNodes
done111
5111
4102
378
244
124
014

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.9b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(- (* b b) (* (* c a) 4.0))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
26.9b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite132.0ms

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
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 → 149
Calls
4 calls:
7.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
6.0ms
(- (* b b) (* (* c a) 4.0))
75.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
36.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series405.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
59.0ms
(- (* b b) (* (* c a) 4.0))
128.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
109.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify2.0s

Counts
161 → 161
Iterations
IterNodes
done5002
23057
1692
0280

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.4b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune144.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
0.3b
(/ (* a c) b)

rewrite29.0ms

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 add-log-exp
associate-/l/
Counts
2 → 73
Calls
2 calls:
18.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
7.0ms
(/ (* a c) b)

series80.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
44.0ms
(/ (* a c) b)

simplify1.6s

Counts
79 → 79
Iterations
IterNodes
done5000
23008
1464
0167

prune640.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
0.3b
(* a (/ c b))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
43×times-frac
31×add-sqr-sqrt
27×add-cbrt-cube add-exp-log
26×*-un-lft-identity add-cube-cbrt
13×associate-*r*
11×cbrt-undiv div-exp
prod-exp cbrt-unprod associate-/l*
div-inv
pow1
associate-/r* associate-*l*
add-log-exp unswap-sqr
clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 84
Calls
2 calls:
26.0ms
(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
11.0ms
(* a (/ c b))

series70.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
32.0ms
(* a (/ c b))

simplify1.6s

Counts
90 → 90
Iterations
IterNodes
done5000
23001
1514
0185

prune571.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 3.4b

regimes745.0ms

Accuracy

0% (3.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.7s16136×pre80true
990.0ms3545×body320valid
688.0ms8136×body80nan
555.0ms3054×body160valid
156.0ms513×body640valid
65.0ms888×body80valid