Details

Time bar (total: 13.6s)

sample189.0ms

Algorithm
intervals
Results
18.0ms106×body320valid
17.0ms507×pre80true
15.0ms251×body80nan
11.0ms95×body160valid
5.0ms19×body640valid
2.0ms36×body80valid

simplify146.0ms

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.5b

localize30.0ms

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)

rewrite66.0ms

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)))
32.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
18.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series450.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(sqrt (fma b b (* (* a -4) c)))
183.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
164.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify2.6s

Counts
112 → 112
Iterations
IterNodes
done5005
33255
2936
1407
0170

prune736.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.1b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune88.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:
22.0ms
(/ (* a c) b)
21.0ms
(/ (* -2 (/ (* a c) b)) a)

series55.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
33.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done5000
21285
1282
0103

prune388.0ms

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)))

rewrite28.0ms

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)
13.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
0.0ms
(expm1 (log1p (/ (* a c) b)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(log1p (/ (* a c) b))
21.0ms
(/ (* a c) b)
109.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
137.0ms
(expm1 (log1p (/ (* a c) b)))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done5002
21314
1337
0144

prune387.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 3.1b

regimes621.0ms

Accuracy

0% (3.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.8s3530×body320valid
938.0ms8104×body80nan
843.0ms16104×pre80true
642.0ms3026×body160valid
215.0ms498×body640valid
110.0ms946×body80valid