Details

Time bar (total: 14.5s)

sample110.0ms

Algorithm
intervals
Results
30.0ms525×pre80true
19.0ms167×body160valid
16.0ms269×body80nan
6.0ms33×body320valid
3.0ms56×body80valid

simplify91.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(- (* b b) (* (* c a) 4.0))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
42.2b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite130.0ms

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:
8.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
8.0ms
(- (* b b) (* (* c a) 4.0))
64.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
44.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series331.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
52.0ms
(- (* b b) (* (* c a) 4.0))
107.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
93.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.7s

Counts
161 → 161
Iterations
IterNodes
done5002
23057
1692
0280

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.7b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune146.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.7b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
0.3b
(/ (* a c) b)

rewrite59.0ms

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:
41.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
15.0ms
(/ (* a c) b)

series53.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
22.0ms
(/ (* a c) b)

simplify1.7s

Counts
79 → 79
Iterations
IterNodes
done5000
23008
1464
0167

prune585.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2.0) a)
0.3b
(/ c (sqrt b))
0.3b
(/ a (sqrt b))
0.4b
(* (/ a (sqrt b)) (/ c (sqrt b)))

rewrite121.0ms

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
add-log-exp
clear-num frac-2neg
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 207
Calls
4 calls:
63.0ms
(/ (/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2.0) a)
5.0ms
(/ c (sqrt b))
5.0ms
(/ a (sqrt b))
32.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2.0) a)
62.0ms
(/ c (sqrt b))
60.0ms
(/ a (sqrt b))
61.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify1.4s

Counts
219 → 219
Iterations
IterNodes
done5000
11052
0357

prune1.3s

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 5.6b

regimes916.0ms

Accuracy

0% (6.8b remaining)

Error of 12.0b against oracle of 5.2b and baseline of 12.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.2s8183×body80nan
1.1s16183×pre80true
849.0ms4824×body160valid
291.0ms1373×body320valid
132.0ms1803×body80valid