Details

Time bar (total: 12.7s)

sample114.0ms

Algorithm
intervals
Results
44.0ms154×body160valid
23.0ms297×body80nan
21.0ms553×pre80true
8.0ms102×body80valid

simplify79.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
377
244
125
014

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* (* a -4) c))
0.1b
(sqrt (fma b b (* (* a -4) c)))
0.2b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
29.0b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
18×times-frac prod-diff
10×difference-of-squares
6×add-cbrt-cube fma-neg add-exp-log associate-/l* add-log-exp
5×pow1 distribute-lft-out--
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub div-exp fma-udef div-inv
Counts
4 → 114
Calls
4 calls:
0.0ms
(fma b b (* (* a -4) c))
4.0ms
(sqrt (fma b b (* (* a -4) c)))
21.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
8.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series443.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(fma b b (* (* a -4) c))
112.0ms
(sqrt (fma b b (* (* a -4) c)))
144.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
111.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.8s

Counts
126 → 126
Iterations
IterNodes
done5000
33635
21008
1423
0180

prune604.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.6b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune84.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 9.6b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
18.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series42.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* -2 (/ (* a c) b)) a)
22.0ms
(/ (* a c) b)

simplify992.0ms

Counts
59 → 59
Iterations
IterNodes
done5002
21421
1280
0103

prune392.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 9.5b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
17×add-sqr-sqrt
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
7×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×pow1
3×associate-/r* associate-*l* associate-*r/
2×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 64
Calls
2 calls:
46.0ms
(/ (* -2 (* a (/ c b))) a)
17.0ms
(* a (/ c b))

series49.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* -2 (* a (/ c b))) a)
22.0ms
(* a (/ c b))

simplify1.5s

Counts
70 → 70
Iterations
IterNodes
done5000
21356
1334
0122

prune271.0ms

Pruning

38 alts after pruning (38 fresh and 0 done)

Merged error: 9.5b

regimes911.0ms

Accuracy

45.4% (7.6b remaining)

Error of 16.5b against oracle of 9.0b and baseline of 22.8b

bsearch45.0ms

Steps
ItersRangePoint
3
172.2552017259038
209.02696225458826
192.9393170232888

simplify6.0ms

Iterations
IterNodes
done34
134
028

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.6s8752×body80nan
1.4s4489×body160valid
965.0ms16752×pre80true
503.0ms3511×body80valid