Details

Time bar (total: 11.0s)

sample351.0ms

Algorithm
intervals
Results
73.0ms748×body80nan
18.0ms255×body80valid
0.0ms1×body160valid

simplify70.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1)) (sqrt x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×sqrt-prod
10×associate-*l*
8×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-cbrt-cube pow-prod-down add-exp-log
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/ difference-of-squares
1×expm1-log1p-u flip3-- sqrt-unprod difference-of-sqr-1 prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
Counts
1 → 39
Calls
1 calls:
Slowest
18.0ms
(* (sqrt (- x 1)) (sqrt x))

series87.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
87.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify1.1s

Counts
42 → 42

prune376.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (- 1/2 (/ -1/8 x)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
57×prod-diff
56×*-un-lft-identity
45×add-cube-cbrt
41×associate--r+
30×times-frac
7×difference-of-squares
6×distribute-lft-out-- add-log-exp
3×fma-neg diff-log div-inv
2×sub-neg
1×expm1-log1p-u pow1 flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip-- associate--r-
Counts
1 → 82
Calls
1 calls:
Slowest
43.0ms
(- x (- 1/2 (/ -1/8 x)))

series18.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
18.0ms
(- x (- 1/2 (/ -1/8 x)))

simplify1.6s

Counts
85 → 85

prune679.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

30.5b
(sqrt (- (* x x) x))
0.0b
(- (* x x) x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×*-un-lft-identity
5×sqrt-prod
4×add-cube-cbrt add-log-exp
3×pow1 prod-diff
2×expm1-log1p-u flip3-- add-cbrt-cube distribute-rgt-out-- sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip-- difference-of-squares
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log
Counts
2 → 41
Calls
2 calls:
Slowest
20.0ms
(sqrt (- (* x x) x))
16.0ms
(- (* x x) x)

series135.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
77.0ms
(- (* x x) x)
58.0ms
(sqrt (- (* x x) x))

simplify2.1s

Counts
47 → 47

prune282.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.8s24108×body80nan
752.0ms7985×body80valid
2.0ms15×body160valid