Details

Time bar (total: 13.1s)

sample152.0ms

Algorithm
intervals
Results
51.0ms280×body160nan
50.0ms502×body80nan
25.0ms256×body80valid

simplify5.9s

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize17.0ms

Local error

Found 2 expressions with local error:

26.7b
(sqrt (fma x x -1))
0.0b
(+ x (sqrt (fma x x -1)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity
5×add-sqr-sqrt
4×add-cube-cbrt add-log-exp
3×pow1 fma-def sqrt-prod
2×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
1×+-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))

series157.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
88.0ms
(+ x (sqrt (fma x x -1)))
69.0ms
(sqrt (fma x x -1))

simplify1.0s

Counts
40 → 40

prune334.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ -1/8 x) (* x x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×add-cbrt-cube add-exp-log associate-/l*
6×cbrt-undiv div-exp
3×div-inv
2×prod-exp cbrt-unprod
1×expm1-log1p-u pow1 clear-num associate-/r* frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 49
Calls
1 calls:
Slowest
16.0ms
(/ (/ -1/8 x) (* x x))

series79.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
78.0ms
(/ (/ -1/8 x) (* x x))

simplify751.0ms

Counts
52 → 52

prune444.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.4s7661×body160nan
1.2s16330×body80nan
1.1s8000×body80valid