Details

Time bar (total: 9.2s)

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms256×pre80true

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5001
51622
4330
3103
248
119
08

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (- (/ b a)) (/ b a) 1)
5.2b
(sqrt (fabs (fma (- (/ b a)) (/ b a) 1)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
2 → 25
Calls
2 calls:
0.0ms
(fma (- (/ b a)) (/ b a) 1)
2.0ms
(sqrt (fabs (fma (- (/ b a)) (/ b a) 1)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(fma (- (/ b a)) (/ b a) 1)
22.0ms
(sqrt (fabs (fma (- (/ b a)) (/ b a) 1)))

simplify4.4s

Counts
31 → 31
Iterations
IterNodes
done5000
44461
3559
2146
161
038

prune199.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 5.5b

localize28.0ms

Local error

Found 2 expressions with local error:

5.2b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
21.5b
(/ (- (* a a) (* b b)) (* a a))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
times-frac associate-/l*
pow1 sqrt-prod
expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp difference-of-squares associate-/l/
rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 flip3-- pow1/2 div-sub prod-exp cbrt-unprod div-inv flip--
Counts
2 → 43
Calls
2 calls:
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
25.0ms
(/ (- (* a a) (* b b)) (* a a))

series84.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
57.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify820.0ms

Counts
49 → 49
Iterations
IterNodes
done5002
21330
1225
084

prune230.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 5.5b

regimes240.0ms

Accuracy

0% (0.0b remaining)

Error of 8.1b against oracle of 8.1b and baseline of 8.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample1.3s

Algorithm
intervals
Results
800.0ms8000×body80valid
213.0ms8000×pre80true