Details

Time bar (total: 14.1s)

sample316.0ms

Algorithm
intervals
Results
79.0ms126×body320valid
54.0ms83×body160valid
41.0ms304×body80nan
35.0ms560×pre80true
12.0ms22×body640valid
4.0ms25×body80valid

simplify509.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 54.0b

localize48.0ms

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)
25.4b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite70.0ms

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))
2.0ms
(sqrt (fma b b (* (* a -4) c)))
44.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
18.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series483.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(fma b b (* (* a -4) c))
130.0ms
(sqrt (fma b b (* (* a -4) c)))
143.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
145.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.1s

Counts
126 → 126
Iterations
IterNodes
done2000
32000
21008
1423
0180

prune582.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.1b

localize19.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune49.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.1b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
20.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series61.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* -2 (/ (* a c) b)) a)
36.0ms
(/ (* a c) b)

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done2051
32051
21421
1280
0103

prune378.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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

series356.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(log1p (/ (* a c) b))
112.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)
36.0ms
(/ (* a c) b)
122.0ms
(expm1 (log1p (/ (* a c) b)))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done2132
32132
21310
1339
0144

prune478.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.1b

regimes542.0ms

Accuracy

0% (3.7b remaining)

Error of 6.3b against oracle of 2.6b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample6.5s

Algorithm
intervals
Results
1.6s3577×body320valid
1.5s7945×body80nan
1.5s15945×pre80true
982.0ms2940×body160valid
282.0ms534×body640valid
153.0ms949×body80valid