Details

Time bar (total: 13.0s)

sample221.0ms

Algorithm
intervals
Results
25.0ms112×body320valid
23.0ms284×body80nan
22.0ms540×pre80true
14.0ms93×body160valid
5.0ms16×body640valid
3.0ms35×body80valid

simplify206.0ms

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.8b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* (* a -4) c))
0.0b
(sqrt (fma b b (* (* a -4) c)))
0.1b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
26.8b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite39.0ms

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
add-cbrt-cube fma-neg add-exp-log associate-/l* add-log-exp
pow1 distribute-lft-out--
expm1-log1p-u insert-posit16 log1p-expm1-u
associate-/r*
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 fma-udef div-inv
Counts
4 → 114
Calls
4 calls:
0.0ms
(fma b b (* (* a -4) c))
1.0ms
(sqrt (fma b b (* (* a -4) c)))
16.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
10.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series467.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(fma b b (* (* a -4) c))
113.0ms
(sqrt (fma b b (* (* a -4) c)))
144.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
135.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify2.2s

Counts
126 → 126
Iterations
IterNodes
done5000
33635
21008
1423
0180

prune686.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.6b

localize18.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune61.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.6b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
18.0ms
(/ (* a c) b)
35.0ms
(/ (* -2 (/ (* a c) b)) a)

series53.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a c) b)
30.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done5000
21285
1282
0103

prune274.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

localize30.0ms

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)))

rewrite44.0ms

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:
1.0ms
(log1p (/ (* a c) b))
24.0ms
(/ (* a c) b)
18.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
1.0ms
(expm1 (log1p (/ (* a c) b)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(log1p (/ (* a c) b))
37.0ms
(/ (* a c) b)
100.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
120.0ms
(expm1 (log1p (/ (* a c) b)))

simplify1.1s

Counts
84 → 84
Iterations
IterNodes
done5002
21314
1337
0144

prune455.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.6b

regimes413.0ms

Accuracy

0% (3.5b remaining)

Error of 6.1b against oracle of 2.6b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.5s3699×body320valid
968.0ms2924×body160valid
895.0ms16340×pre80true
879.0ms8340×body80nan
225.0ms484×body640valid
75.0ms893×body80valid