Details

Time bar (total: 8.6s)

sample238.0ms

Algorithm
intervals
Results
123.0ms762×body80nan
20.0ms256×body80valid

simplify37.0ms

Calls
1 calls:
Slowest
36.0ms
(* (sqrt (- x 1)) (sqrt x))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite60.0ms

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
flip3-- sqrt-unprod difference-of-sqr-1 prod-exp *-commutative cbrt-unprod insert-posit16 flip-- distribute-lft-out-- add-log-exp
Calls
1 calls:
Slowest
57.0ms
(* (sqrt (- x 1)) (sqrt x))

series110.0ms

Calls
1 calls:
Slowest
109.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify1.2s

Calls
35 calls:
Slowest
340.0ms
(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
290.0ms
(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
107.0ms
(- x (+ (* 1/8 (/ 1 x)) 1/2))
92.0ms
(* (sqrt (- (* x x) (* 1 1))) (sqrt x))
28.0ms
(* (- x 1) x)

prune269.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

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

localize22.0ms

Local error

Found 1 expressions with local error:

34.1b
(pow (* (- x 1) x) 1/2)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
16×unpow-prod-down
11×add-sqr-sqrt
*-un-lft-identity
associate-*l*
add-cube-cbrt
pow1 add-exp-log
pow-unpow associate-*r*
pow-pow pow-exp difference-of-squares
pow-to-exp add-cbrt-cube difference-of-sqr-1 pow-prod-down prod-exp *-commutative insert-posit16 distribute-lft-out-- unpow1/2 add-log-exp unswap-sqr sqr-pow
Calls
1 calls:
Slowest
44.0ms
(pow (* (- x 1) x) 1/2)

series55.0ms

Calls
1 calls:
Slowest
54.0ms
(pow (* (- x 1) x) 1/2)

simplify2.5s

Calls
25 calls:
Slowest
312.0ms
(pow (* (- x 1) (* (cbrt x) (cbrt x))) 1/2)
264.0ms
(pow (sqrt (* (- x 1) x)) 1/2)
253.0ms
(+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
240.0ms
(- (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))))))))
238.0ms
(pow (* (cbrt (- x 1)) (cbrt (- x 1))) 1/2)

prune182.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.6s23921×body80nan
666.0ms7987×body80valid
2.0ms13×body160valid