Details

Time bar (total: 7.4s)

sample203.0ms

Algorithm
intervals
Results
89.0ms758×body80nan
16.0ms256×body80valid

simplify39.0ms

Calls
1 calls:
Slowest
38.0ms
(* (sqrt (- x 1)) (sqrt x))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt (- x 1)) (sqrt x))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×sqrt-prod
10×associate-*l*
*-un-lft-identity
associate-*r*
pow1 add-cube-cbrt
unswap-sqr
add-cbrt-cube pow-prod-down add-exp-log
sqrt-pow1 pow1/2 sqrt-div associate-*l/ difference-of-squares
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
Calls
1 calls:
Slowest
65.0ms
(* (sqrt (- x 1)) (sqrt x))

series88.0ms

Calls
1 calls:
Slowest
88.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify1.3s

Calls
35 calls:
Slowest
463.0ms
(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
348.0ms
(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
87.0ms
(- x (+ (* 1/8 (/ 1 x)) 1/2))
82.0ms
(* (sqrt (- (* x x) (* 1 1))) (sqrt x))
30.0ms
(* (- x 1) x)

prune354.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Calls
0 calls:
Slowest

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

31.9b
(pow (* (- x 1) x) 1/2)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log
pow-unpow
add-sqr-sqrt pow-pow *-un-lft-identity pow-exp add-cube-cbrt
expm1-log1p-u pow-to-exp unpow-prod-down add-cbrt-cube pow-prod-down prod-exp insert-posit16 log1p-expm1-u unpow1/2 add-log-exp sqr-pow
Calls
1 calls:
Slowest
9.0ms
(pow (* (- x 1) x) 1/2)

series59.0ms

Calls
1 calls:
Slowest
59.0ms
(pow (* (- x 1) x) 1/2)

simplify1.1s

Calls
10 calls:
Slowest
347.0ms
(+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
294.0ms
(- (exp (* 1/2 (+ (log -1) (log x)))) (+ (* 1/2 (* x (exp (* 1/2 (+ (log -1) (log x)))))) (* 1/8 (* (pow x 2) (exp (* 1/2 (+ (log -1) (log x))))))))
249.0ms
(- (pow (/ 1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
62.0ms
(* (log (* (- x 1) x)) 1/2)
47.0ms
(* (+ (log (- x 1)) (log x)) 1/2)

prune158.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.8s24046×body80nan
634.0ms7996×body80valid
1.0msbody160valid