Details

Time bar (total: 8.6s)

sample48.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms240×body80nan

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(+ (sqrt (+ 1.0 (* 2.0 x))) (sqrt x))
0.3b
(sqrt (+ 1.0 (* 2.0 x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
sqrt-prod
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt
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 → 28
Calls
2 calls:
47.0ms
(+ (sqrt (+ 1.0 (* 2.0 x))) (sqrt x))
11.0ms
(sqrt (+ 1.0 (* 2.0 x)))

series258.0ms

Counts
2 → 6
Calls
2 calls:
158.0ms
(+ (sqrt (+ 1.0 (* 2.0 x))) (sqrt x))
100.0ms
(sqrt (+ 1.0 (* 2.0 x)))

simplify2.8s

Counts
34 → 34
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
081483
1208424
2728390
33442384
done5000384

prune205.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sqrt (sqrt (+ 1.0 (* 2.0 x)))) (sqrt (sqrt (+ 1.0 (* 2.0 x))))) (sqrt x))
0.3b
(sqrt (+ 1.0 (* 2.0 x)))
0.3b
(sqrt (+ 1.0 (* 2.0 x)))
0.3b
(* (sqrt (sqrt (+ 1.0 (* 2.0 x)))) (sqrt (sqrt (+ 1.0 (* 2.0 x)))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
50×add-sqr-sqrt
34×sqrt-pow1
29×pow1
28×sqrt-div
18×*-un-lft-identity pow1/2 add-cube-cbrt
15×swap-sqr
flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
add-cbrt-cube add-exp-log add-log-exp
pow-prod-down pow-sqr
frac-times
rem-sqrt-square associate-*l/ associate-*r/
pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
53.0ms
(+ (* (sqrt (sqrt (+ 1.0 (* 2.0 x)))) (sqrt (sqrt (+ 1.0 (* 2.0 x))))) (sqrt x))
10.0ms
(sqrt (+ 1.0 (* 2.0 x)))
10.0ms
(sqrt (+ 1.0 (* 2.0 x)))
76.0ms
(* (sqrt (sqrt (+ 1.0 (* 2.0 x)))) (sqrt (sqrt (+ 1.0 (* 2.0 x)))))

series378.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(+ (* (sqrt (sqrt (+ 1.0 (* 2.0 x)))) (sqrt (sqrt (+ 1.0 (* 2.0 x))))) (sqrt x))
73.0ms
(sqrt (+ 1.0 (* 2.0 x)))
80.0ms
(sqrt (+ 1.0 (* 2.0 x)))
75.0ms
(* (sqrt (sqrt (+ 1.0 (* 2.0 x)))) (sqrt (sqrt (+ 1.0 (* 2.0 x)))))

simplify2.2s

Counts
136 → 136
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01552687
13671609
216781494
done50011477

prune618.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

regimes180.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
01112
11711
2199
done199

end0.0ms

sample1.6s

Algorithm
intervals
Results
618.0ms7966×body80nan
539.0ms8000×body80valid