Details

Time bar (total: 16.9s)

sample184.0ms

Algorithm
intervals
Results
40.0ms19×body640valid
18.0ms125×body320valid
16.0ms271×body80nan
12.0ms527×pre80true
8.0ms85×body160valid
1.0ms27×body80valid

simplify71.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
0.1b
(- (* b b) (* (* c a) 4.0))
25.5b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite184.0ms

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:
7.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
81.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
13.0ms
(- (* b b) (* (* c a) 4.0))
75.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series471.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
157.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
70.0ms
(- (* b b) (* (* c a) 4.0))
147.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.9s

Counts
161 → 161
Iterations
IterNodes
done5001
23070
1693
0280

prune981.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.7b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune58.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
15.0ms
(/ (* a c) b)
20.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series69.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* a c) b)
41.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.5s

Counts
79 → 79
Iterations
IterNodes
done5002
22917
1460
0167

prune525.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.7b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite579.0ms

Algorithm
rewrite-expression-head
Rules
757×times-frac
377×add-sqr-sqrt
319×*-un-lft-identity add-cube-cbrt
185×sqrt-prod
154×associate-*r*
70×add-cbrt-cube add-exp-log
57×div-inv
35×cbrt-undiv div-exp
29×associate-/l*
22×associate-*l*
15×associate-/r* unswap-sqr
14×prod-exp cbrt-unprod
pow1
add-log-exp
clear-num frac-2neg
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 483
Calls
4 calls:
5.0ms
(/ -2.0 (sqrt a))
8.0ms
(/ (* a c) b)
511.0ms
(* (/ -2.0 (sqrt a)) (/ (/ (/ (* a c) b) 2.0) (sqrt a)))
20.0ms
(/ (/ (/ (* a c) b) 2.0) (sqrt a))

series286.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ -2.0 (sqrt a))
34.0ms
(/ (* a c) b)
79.0ms
(* (/ -2.0 (sqrt a)) (/ (/ (/ (* a c) b) 2.0) (sqrt a)))
106.0ms
(/ (/ (/ (* a c) b) 2.0) (sqrt a))

simplify2.0s

Counts
495 → 495
Iterations
IterNodes
done5001
12179
0666

prune2.7s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.7b

regimes784.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.1s8127×body80nan
954.0ms3699×body320valid
761.0ms16127×pre80true
634.0ms2858×body160valid
180.0ms497×body640valid
125.0ms946×body80valid