Details

Time bar (total: 14.2s)

sample176.0ms

Algorithm
intervals
Results
46.0ms301×body80nan
43.0ms155×body160valid
33.0ms557×pre80true
19.0ms44×body320valid
8.0ms57×body80valid

simplify143.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.4b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b
(sqrt (fma b b (* (* a -4) c)))
0.2b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
37.3b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite52.0ms

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
fma-neg associate-/l*
add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp
pow1
expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u
flip3-- flip-- associate-/l/
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:
2.0ms
(sqrt (fma b b (* (* a -4) c)))
33.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
14.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series433.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(sqrt (fma b b (* (* a -4) c)))
172.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
150.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.3s

Counts
112 → 112
Iterations
IterNodes
done2000
32000
2936
1407
0170

prune654.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.4b

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

prune93.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.4b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
19.0ms
(/ (* a c) b)
33.0ms
(/ (* -2 (/ (* a c) b)) a)

series52.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* a c) b)
25.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.3s

Counts
59 → 59
Iterations
IterNodes
done2014
32014
21285
1282
0103

prune521.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.4b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (/ (* a c) b))
0.2b
(/ (* a c) b)
0.3b
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
0.3b
(expm1 (log1p (/ (* a c) b)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/r* times-frac
expm1-log1p-u
pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 72
Calls
4 calls:
0.0ms
(log1p (/ (* a c) b))
9.0ms
(/ (* a c) b)
8.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
0.0ms
(expm1 (log1p (/ (* a c) b)))

series398.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(log1p (/ (* a c) b))
33.0ms
(/ (* a c) b)
124.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
147.0ms
(expm1 (log1p (/ (* a c) b)))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done2031
32031
21314
1337
0144

prune471.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.4b

regimes768.0ms

Accuracy

0% (6.8b remaining)

Error of 11.9b against oracle of 5.1b and baseline of 11.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample6.5s

Algorithm
intervals
Results
1.7s4800×body160valid
1.6s8383×body80nan
1.2s16383×pre80true
671.0ms1425×body320valid
285.0ms1775×body80valid