Details

Time bar (total: 14.7s)

sample220.0ms

Algorithm
intervals
Results
59.0ms540×pre80true
20.0ms112×body320valid
18.0ms284×body80nan
11.0ms93×body160valid
3.0ms16×body640valid
2.0ms35×body80valid

simplify90.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
370
243
124
014

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.8b

localize37.0ms

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)
26.8b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite216.0ms

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:
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))
8.0ms
(- (* b b) (* (* c a) 4))
106.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
83.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series437.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (- (* b b) (* (* c a) 4)))
53.0ms
(- (* b b) (* (* c a) 4))
145.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
162.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify3.1s

Counts
100 → 100
Iterations
IterNodes
done5002
34569
21103
1400
0161

prune670.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize19.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune42.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
13.0ms
(/ (* a c) b)
17.0ms
(/ (* -2 (/ (* a c) b)) a)

series61.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (* a c) b)
25.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5000
21437
1278
099

prune290.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.6b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

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:
5.0ms
(/ a (sqrt b))
5.0ms
(/ c (sqrt b))
40.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
35.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ a (sqrt b))
77.0ms
(/ c (sqrt b))
70.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
49.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify2.0s

Counts
199 → 199
Iterations
IterNodes
done5004
23648
1850
0289

prune888.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

regimes544.0ms

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
done8
18
07

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.1s8340×body80nan
1.0s3699×body320valid
975.0ms2924×body160valid
725.0ms16340×pre80true
133.0ms484×body640valid
61.0ms893×body80valid