Details

Time bar (total: 22.2s)

sample136.0ms

Algorithm
intervals
Results
46.0ms243×body160nan
38.0ms477×body80nan
28.0ms256×body80valid

simplify14.0s

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize24.0ms

Local error

Found 2 expressions with local error:

27.3b
(sqrt (fma x x -1))
0.0b
(+ x (sqrt (fma x x -1)))

rewrite13.0ms

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
10.0ms
(+ x (sqrt (fma x x -1)))
3.0ms
(sqrt (fma x x -1))

series186.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(+ x (sqrt (fma x x -1)))
80.0ms
(sqrt (fma x x -1))

simplify890.0ms

Counts
40 → 40

prune317.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
51×prod-diff
14×add-cbrt-cube add-exp-log
13×associate-/l*
div-inv
cbrt-undiv div-exp
add-log-exp
fma-neg difference-of-squares
expm1-log1p-u pow1 prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log associate--l+ fma-udef flip-- distribute-lft-out-- associate-/l/
Counts
2 → 123
Calls
2 calls:
Slowest
16.0ms
(- (fma 2 x (/ -1/2 x)) (/ (/ 1/8 x) (* x x)))
16.0ms
(/ (/ 1/8 x) (* x x))

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
54.0ms
(- (fma 2 x (/ -1/2 x)) (/ (/ 1/8 x) (* x x)))
47.0ms
(/ (/ 1/8 x) (* x x))

simplify947.0ms

Counts
129 → 129

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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
1.8s7651×body160nan
1.2s15988×body80nan
744.0ms8000×body80valid