Details

Time bar (total: 27.6s)

sample557.0ms

Algorithm
intervals
Results
422.0ms524×pre80true
42.0ms116×body320valid
32.0ms268×body80nan
22.0ms90×body160valid
9.0ms18×body640valid
4.0ms32×body80valid

simplify124.0ms

Counts
1 → 1
Iterations
IterNodes
893
793
692
590
482
366
240
121
012

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
22.8b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
15.0ms
(- (* b b) (* (* 3 a) c))
92.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
27.0ms
(* (* 3 a) c)
56.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series354.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (* b b) (* (* 3 a) c))
133.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
35.0ms
(* (* 3 a) c)
123.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.1s

Counts
91 → 91
Iterations
IterNodes
36154
21497
1423
0158

prune942.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.8b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune66.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
10.0ms
(/ (* a c) b)
12.0ms
(* -3/2 (/ (* a c) b))
20.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series101.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (* a c) b)
36.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify11.1s

Counts
90 → 90
Iterations
IterNodes
314826
21821
1365
0126

prune754.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.8b

localize17.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 1 (/ b (* -1/2 c)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
22×add-exp-log
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×div-exp
10×add-cbrt-cube
associate-/r*
cbrt-undiv div-inv
rec-exp 1-exp prod-exp associate-/l*
pow1
clear-num frac-2neg associate-/r/ cbrt-unprod insert-posit16 pow-flip inv-pow add-log-exp
Counts
1 → 57
Calls
1 calls:
22.0ms
(/ 1 (/ b (* -1/2 c)))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ 1 (/ b (* -1/2 c)))

simplify2.0s

Counts
60 → 60
Iterations
IterNodes
33080
2758
1267
0114

prune337.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 2.8b

regimes415.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
26
16
05

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.5s3644×body320valid
1.0s16026×pre80true
951.0ms8026×body80nan
760.0ms2924×body160valid
278.0ms510×body640valid
102.0ms922×body80valid