Details

Time bar (total: 10.3s)

sample73.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
9.0ms240×body80nan

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt x))
0.0b
(sqrt (+ x (sqrt x)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-sqr-sqrt
sqrt-prod
distribute-rgt-out add-log-exp
pow1 add-cube-cbrt
distribute-lft1-in flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ distribute-lft-out
+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
2 → 34
Calls
2 calls:
12.0ms
(+ x (sqrt x))
18.0ms
(sqrt (+ x (sqrt x)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(+ x (sqrt x))
95.0ms
(sqrt (+ x (sqrt x)))

simplify4.7s

Counts
40 → 40
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
067371
1161325
2647298
34270288
done5000288

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt x) 1)
0.1b
(sqrt (+ (sqrt x) 1))
0.1b
(sqrt (sqrt x))
0.2b
(* (sqrt (sqrt x)) (sqrt (+ (sqrt x) 1)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
30×add-sqr-sqrt
21×*-un-lft-identity
12×add-cube-cbrt
11×pow1
associate-*l*
associate-*r*
sqrt-pow1
add-cbrt-cube add-exp-log distribute-lft-out add-log-exp unswap-sqr
pow1/2
sqrt-div
rem-sqrt-square flip3-+ pow-prod-down flip-+
associate-*r/
+-commutative sum-log sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 88
Calls
4 calls:
17.0ms
(+ (sqrt x) 1)
22.0ms
(sqrt (+ (sqrt x) 1))
4.0ms
(sqrt (sqrt x))
83.0ms
(* (sqrt (sqrt x)) (sqrt (+ (sqrt x) 1)))

series801.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (sqrt x) 1)
154.0ms
(sqrt (+ (sqrt x) 1))
297.0ms
(sqrt (sqrt x))
294.0ms
(* (sqrt (sqrt x)) (sqrt (+ (sqrt x) 1)))

simplify2.3s

Counts
100 → 100
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01571140
14141000
22112914
done5001912

prune486.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

end0.0ms

sample1.3s

Algorithm
intervals
Results
457.0ms8000×body80valid
374.0ms7966×body80nan