Details

Time bar (total: 13.5s)

sample116.0ms

Algorithm
intervals
Results
31.0ms148×body160valid
25.0ms523×pre80true
25.0ms267×body80nan
10.0ms108×body80valid

simplify81.0ms

Counts
1 → 1
Iterations
IterNodes
done109
5109
4101
380
242
121
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
29.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite128.0ms

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:
24.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))
64.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
31.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series380.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* 3 a) c)
77.0ms
(- (* b b) (* (* 3 a) c))
154.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
116.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify2.2s

Counts
91 → 91
Iterations
IterNodes
done5001
22515
1433
0158

prune462.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.1b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune67.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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:
9.0ms
(/ (* a c) b)
22.0ms
(* -3/2 (/ (* a c) b))
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series104.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (* a c) b)
48.0ms
(* -3/2 (/ (* a c) b))
27.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.3s

Counts
90 → 90
Iterations
IterNodes
done5001
22765
1402
0126

prune478.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 9.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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:
17.0ms
(/ (* c a) b)
25.0ms
(* -3/2 (/ (* c a) b))
40.0ms
(/ (* -3/2 (/ (* c a) b)) (* 3 a))

series89.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (* c a) b)
33.0ms
(* -3/2 (/ (* c a) b))
30.0ms
(/ (* -3/2 (/ (* c a) b)) (* 3 a))

simplify1.5s

Counts
90 → 90
Iterations
IterNodes
done5002
22625
1408
0130

prune298.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 9.0b

regimes1.4s

Accuracy

46.1% (7.4b remaining)

Error of 16.6b against oracle of 9.2b and baseline of 22.9b

bsearch22.0ms

Steps
ItersRangePoint
1
771.957524520205
811.761863321402
781.9086092205042

simplify8.0ms

Iterations
IterNodes
done35
135
025

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.5s4471×body160valid
1.1s8595×body80nan
1.0s16595×pre80true
404.0ms3529×body80valid