Details

Time bar (total: 19.7s)

sample294.0ms

Algorithm
intervals
Results
59.0ms94×body160valid
37.0ms119×body320valid
27.0ms259×body80nan
26.0ms515×pre80true
7.0ms13×body640valid
4.0ms30×body80valid

simplify100.0ms

Counts
1 → 1
Iterations
IterNodes
8105
7105
6104
5102
494
377
244
125
014

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.2b

localize32.0ms

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)
25.5b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite37.0ms

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)))
21.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
12.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series463.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(fma b b (* (* a -4) c))
92.0ms
(sqrt (fma b b (* (* a -4) c)))
194.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
116.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.4s

Counts
126 → 126
Iterations
IterNodes
32589
2949
1405
0180

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.7b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune64.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.7b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
23.0ms
(/ (* -2 (/ (* a c) b)) a)
12.0ms
(/ (* a c) b)

series51.0ms

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

simplify2.9s

Counts
59 → 59
Iterations
IterNodes
36739
21081
1265
0103

prune608.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 2.7b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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))
18.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
20.0ms
(/ (* a c) b)
1.0ms
(expm1 (log1p (/ (* a c) b)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(log1p (/ (* a c) b))
108.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
26.0ms
(/ (* a c) b)
136.0ms
(expm1 (log1p (/ (* a c) b)))

simplify3.3s

Counts
84 → 84
Iterations
IterNodes
34948
2992
1325
0144

prune908.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 2.6b

regimes674.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample6.8s

Algorithm
intervals
Results
2.1s3631×body320valid
1.2s8047×body80nan
1.1s16047×pre80true
840.0ms2915×body160valid
420.0ms495×body640valid
132.0ms959×body80valid