Details

Time bar (total: 12.3s)

sample106.0ms

Algorithm
intervals
Results
56.0ms730×body80nan
14.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
2139
done139

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (/ x (- x 1.0)))
0.0b
(- (sqrt (/ x (- x 1.0))) (sqrt x))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
30×sqrt-prod
21×*-un-lft-identity
18×times-frac
11×add-cube-cbrt
difference-of-squares
distribute-lft-out--
add-log-exp
pow1
rem-sqrt-square flip3-- add-cbrt-cube add-exp-log associate-/r/ flip--
sub-neg sqrt-pow1 pow1/2 sqrt-div diff-log div-inv
Counts
2 → 53
Calls
2 calls:
20.0ms
(sqrt (/ x (- x 1.0)))
139.0ms
(- (sqrt (/ x (- x 1.0))) (sqrt x))

series314.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(sqrt (/ x (- x 1.0)))
191.0ms
(- (sqrt (/ x (- x 1.0))) (sqrt x))

simplify3.0s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0142851
1271780
2771728
33186722
done5000722

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt (sqrt (/ x (- x 1.0)))) (sqrt (sqrt x)))
0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.4b
(* (+ (sqrt (sqrt (/ x (- x 1.0)))) (sqrt (sqrt x))) (- (sqrt (sqrt (/ x (- x 1.0)))) (sqrt (sqrt x))))

rewrite854.0ms

Algorithm
rewrite-expression-head
Rules
65×sqrt-prod
43×add-sqr-sqrt
28×*-un-lft-identity
18×associate-*r*
12×difference-of-squares
10×pow1 add-cube-cbrt
sqrt-pow1
add-cbrt-cube associate-*l* add-exp-log distribute-lft-out add-log-exp
frac-times rem-sqrt-square flip3-+ pow1/2 flip-+
times-frac flip3-- flip-- distribute-lft-out--
distribute-rgt-in sub-neg distribute-lft-in associate-*l/ associate-*r/
+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 100
Calls
4 calls:
120.0ms
(+ (sqrt (sqrt (/ x (- x 1.0)))) (sqrt (sqrt x)))
4.0ms
(sqrt (sqrt x))
4.0ms
(sqrt (sqrt x))
718.0ms
(* (+ (sqrt (sqrt (/ x (- x 1.0)))) (sqrt (sqrt x))) (- (sqrt (sqrt (/ x (- x 1.0)))) (sqrt (sqrt x))))

series1.8s

Counts
4 → 12
Calls
4 calls:
375.0ms
(+ (sqrt (sqrt (/ x (- x 1.0)))) (sqrt (sqrt x)))
285.0ms
(sqrt (sqrt x))
302.0ms
(sqrt (sqrt x))
824.0ms
(* (+ (sqrt (sqrt (/ x (- x 1.0)))) (sqrt (sqrt x))) (- (sqrt (sqrt (/ x (- x 1.0)))) (sqrt (sqrt x))))

simplify1.7s

Counts
112 → 112
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01902365
15171900
223521712
done50021705

prune565.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
done79

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s23691×body80nan
658.0ms8000×body80valid