Details

Time bar (total: 17.4s)

sample333.0ms

Algorithm
intervals
Results
84.0ms273×body80nan
41.0ms98×body320valid
33.0ms529×pre80true
30.0ms108×body160valid
11.0ms19×body640valid
4.0ms31×body80valid

simplify168.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.0b

localize59.0ms

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) a)
28.5b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
sqrt-prod add-log-exp
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
flip3-- insert-posit16 flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))
11.0ms
(- (* b b) (* (* c a) 4))
108.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
52.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series430.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(sqrt (- (* b b) (* (* c a) 4)))
59.0ms
(- (* b b) (* (* c a) 4))
126.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
137.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.8s

Counts
100 → 100
Iterations
IterNodes
33594
21093
1398
0161

prune797.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.4b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune58.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
37.0ms
(/ (* -2 (/ (* a c) b)) a)
13.0ms
(/ (* a c) b)

series74.0ms

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

simplify3.2s

Counts
55 → 55
Iterations
IterNodes
36587
21060
1263
099

prune354.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ c (sqrt b))
0.2b
(/ a (sqrt b))
0.3b
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
0.4b
(* (/ a (sqrt b)) (/ c (sqrt b)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
87×times-frac
62×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
45×add-cbrt-cube add-exp-log
22×associate-*r* associate-*l*
16×cbrt-undiv div-exp
15×associate-/r*
13×prod-exp cbrt-unprod
unswap-sqr
associate-/l*
pow1
associate-*r/ div-inv
insert-posit16 add-log-exp
clear-num frac-2neg associate-/l/
frac-times associate-*l/
pow-prod-down *-commutative
Counts
4 → 187
Calls
4 calls:
9.0ms
(/ c (sqrt b))
9.0ms
(/ a (sqrt b))
65.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
38.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ c (sqrt b))
56.0ms
(/ a (sqrt b))
62.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
74.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify1.0s

Counts
199 → 199
Iterations
IterNodes
23000
1810
0289

prune1.6s

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 3.4b

regimes593.0ms

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample6.3s

Algorithm
intervals
Results
1.7s3616×body320valid
1.3s2983×body160valid
1.3s16042×pre80true
1.1s8042×body80nan
283.0ms529×body640valid
135.0ms872×body80valid