Details

Time bar (total: 16.1s)

sample302.0ms

Algorithm
intervals
Results
69.0ms262×body80nan
46.0ms121×body320valid
28.0ms518×pre80true
22.0ms95×body160valid
9.0ms16×body640valid
3.0ms24×body80valid

simplify163.0ms

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

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.5b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fma b b (* (* a -4) c)))
0.1b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
25.6b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
39×*-un-lft-identity
29×add-cube-cbrt
20×sqrt-prod
18×times-frac prod-diff
10×difference-of-squares
6×fma-neg associate-/l*
5×add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp
4×pow1
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u
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 div-inv
Counts
3 → 103
Calls
3 calls:
1.0ms
(sqrt (fma b b (* (* a -4) c)))
16.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
9.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series374.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(sqrt (fma b b (* (* a -4) c)))
125.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
149.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.2s

Counts
112 → 112
Iterations
IterNodes
done2000
32000
2936
1407
0170

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.5b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune60.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.5b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
15.0ms
(/ (* -2 (/ (* a c) b)) a)
13.0ms
(/ (* a c) b)

series51.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* -2 (/ (* a c) b)) a)
29.0ms
(/ (* a c) b)

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done2051
32051
21421
1280
0103

prune547.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.4b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
36×associate-/r*
31×add-cbrt-cube add-exp-log
23×div-inv
16×cbrt-undiv div-exp
7×associate-/l*
6×associate-/r/
3×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
Counts
3 → 204
Calls
3 calls:
15.0ms
(/ -2 (/ a (/ (* a c) b)))
17.0ms
(/ (* a c) b)
15.0ms
(/ a (/ (* a c) b))

series73.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ -2 (/ a (/ (* a c) b)))
25.0ms
(/ (* a c) b)
10.0ms
(/ a (/ (* a c) b))

simplify1.2s

Counts
213 → 213
Iterations
IterNodes
done2001
22001
1915
0328

prune1.8s

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 2.4b

regimes590.0ms

Accuracy

0% (3.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample6.9s

Algorithm
intervals
Results
2.2s3663×body320valid
1.5s2960×body160valid
1.3s8281×body80nan
1.0s16281×pre80true
287.0ms466×body640valid
163.0ms911×body80valid