Details

Time bar (total: 18.4s)

sample328.0ms

Algorithm
intervals
Results
67.0ms268×body80nan
52.0ms116×body320valid
34.0ms524×pre80true
26.0ms88×body160valid
10.0ms18×body640valid
8.0ms34×body80valid

simplify159.0ms

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: 51.5b

localize58.0ms

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)
22.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite165.0ms

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:
15.0ms
(sqrt (- (* b b) (* (* c a) 4)))
15.0ms
(- (* b b) (* (* c a) 4))
93.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
37.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series468.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(sqrt (- (* b b) (* (* c a) 4)))
68.0ms
(- (* b b) (* (* c a) 4))
164.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
140.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.8s

Counts
100 → 100
Iterations
IterNodes
33663
21093
1400
0161

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.8b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune49.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.8b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:
16.0ms
(/ (* a c) b)
29.0ms
(/ (* -2 (/ (* a c) b)) a)

series66.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* a c) b)
33.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify2.7s

Counts
55 → 55
Iterations
IterNodes
36523
21062
1265
099

prune394.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.8b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
121×add-sqr-sqrt
91×*-un-lft-identity add-cube-cbrt
72×sqrt-prod
52×add-cbrt-cube add-exp-log
46×associate-*r*
22×cbrt-undiv div-exp associate-*l*
18×div-inv
15×associate-/r*
12×prod-exp cbrt-unprod
11×associate-/l*
unswap-sqr
pow1
insert-posit16 add-log-exp
clear-num frac-2neg
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 241
Calls
4 calls:
18.0ms
(/ (* a c) b)
8.0ms
(/ -2 (sqrt a))
21.0ms
(/ (/ (* a c) b) (sqrt a))
55.0ms
(* (/ -2 (sqrt a)) (/ (/ (* a c) b) (sqrt a)))

series286.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* a c) b)
69.0ms
(/ -2 (sqrt a))
105.0ms
(/ (/ (* a c) b) (sqrt a))
89.0ms
(* (/ -2 (sqrt a)) (/ (/ (* a c) b) (sqrt a)))

simplify964.0ms

Counts
253 → 253
Iterations
IterNodes
23352
11007
0337

prune2.5s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.8b

regimes439.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample6.5s

Algorithm
intervals
Results
1.8s3630×body320valid
1.6s8071×body80nan
957.0ms16071×pre80true
887.0ms2944×body160valid
708.0ms510×body640valid
176.0ms916×body80valid