Details

Time bar (total: 15.4s)

sample245.0ms

Algorithm
intervals
Results
61.0ms95×body160valid
32.0ms106×body320valid
26.0ms251×body80nan
24.0ms507×pre80true
8.0ms19×body640valid
4.0ms36×body80valid

simplify156.0ms

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.5b

localize33.0ms

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)
27.5b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite40.0ms

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:
1.0ms
(sqrt (fma b b (* (* a -4) c)))
21.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
15.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series417.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(sqrt (fma b b (* (* a -4) c)))
156.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
130.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify2.5s

Counts
112 → 112
Iterations
IterNodes
done5005
33255
2936
1407
0170

prune605.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.1b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune110.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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)
34.0ms
(/ (* -2 (/ (* a c) b)) a)

series78.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* a c) b)
43.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done5000
21285
1282
0103

prune364.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 3.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(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)))

rewrite29.0ms

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))
12.0ms
(/ (* a c) b)
14.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
0.0ms
(expm1 (log1p (/ (* a c) b)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(log1p (/ (* a c) b))
35.0ms
(/ (* a c) b)
124.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
144.0ms
(expm1 (log1p (/ (* a c) b)))

simplify1.3s

Counts
84 → 84
Iterations
IterNodes
done5002
21314
1337
0144

prune452.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 3.1b

regimes611.0ms

Accuracy

0% (3.7b remaining)

Error of 6.5b against oracle of 2.8b and baseline of 6.5b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample6.7s

Algorithm
intervals
Results
2.0s3530×body320valid
1.6s8104×body80nan
1.2s16104×pre80true
936.0ms3026×body160valid
298.0ms498×body640valid
194.0ms946×body80valid