Details

Time bar (total: 16.7s)

sample478.0ms

Algorithm
intervals
Results
59.0ms112×body320valid
26.0ms284×body80nan
22.0ms540×pre80true
17.0ms93×body160valid
6.0ms16×body640valid
4.0ms35×body80valid

simplify98.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.8b

localize45.0ms

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)

rewrite122.0ms

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)))
7.0ms
(- (* b b) (* (* c a) 4))
73.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
32.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series426.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (- (* b b) (* (* c a) 4)))
51.0ms
(- (* b b) (* (* c a) 4))
170.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
122.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify3.1s

Counts
100 → 100
Iterations
IterNodes
done5002
34569
21103
1400
0161

prune468.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune32.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:
17.0ms
(/ (* a c) b)
29.0ms
(/ (* -2 (/ (* a c) b)) a)

series64.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* a c) b)
37.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.4s

Counts
55 → 55
Iterations
IterNodes
done5000
21437
1278
099

prune254.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.6b

localize19.0ms

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)))

rewrite104.0ms

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:
4.0ms
(/ a (sqrt b))
4.0ms
(/ c (sqrt b))
64.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
28.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ a (sqrt b))
80.0ms
(/ c (sqrt b))
51.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
54.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify2.1s

Counts
199 → 199
Iterations
IterNodes
done5004
23648
1850
0289

prune882.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

regimes441.0ms

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
done8
18
07

end0.0ms

sample6.4s

Algorithm
intervals
Results
1.7s8340×body80nan
1.7s3699×body320valid
1.2s2924×body160valid
1.0s16340×pre80true
236.0ms484×body640valid
155.0ms893×body80valid