Details

Time bar (total: 14.9s)

sample113.0ms

Algorithm
intervals
Results
41.0ms228×body160nan
32.0ms519×body80nan
20.0ms256×body80valid

simplify6.4s

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize28.0ms

Local error

Found 2 expressions with local error:

28.9b
(sqrt (fma x x -1))
0.0b
(+ x (sqrt (fma x x -1)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt
add-cube-cbrt add-log-exp
pow1 fma-def sqrt-prod
expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
Counts
2 → 34
Calls
2 calls:
Slowest
9.0ms
(+ x (sqrt (fma x x -1)))
2.0ms
(sqrt (fma x x -1))

series152.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
82.0ms
(+ x (sqrt (fma x x -1)))
70.0ms
(sqrt (fma x x -1))

simplify1.1s

Counts
40 → 40

prune336.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ -1/8 x) (* x x))
0.0b
(+ (fma x 2 (/ -1/2 x)) (/ (/ -1/8 x) (* x x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
19×*-un-lft-identity
17×add-sqr-sqrt add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×associate-/l*
cbrt-undiv div-exp
add-log-exp
fma-def div-inv
expm1-log1p-u pow1 prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
+-commutative associate-+l+ clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ fma-udef distribute-lft-out associate-/l/
Counts
2 → 68
Calls
2 calls:
Slowest
17.0ms
(+ (fma x 2 (/ -1/2 x)) (/ (/ -1/8 x) (* x x)))
10.0ms
(/ (/ -1/8 x) (* x x))

series126.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
70.0ms
(/ (/ -1/8 x) (* x x))
55.0ms
(+ (fma x 2 (/ -1/2 x)) (/ (/ -1/8 x) (* x x)))

simplify1.3s

Counts
74 → 74

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.8s7647×body160nan
1.2s16118×body80nan
759.0ms8000×body80valid