Details

Time bar (total: 8.9s)

sample105.0ms

Algorithm
intervals
Results
28.0ms545×body80nan
27.0ms248×body160nan
16.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 1.0)
0.0b
(+ x (sqrt (- (* x x) 1.0)))
28.1b
(sqrt (- (* x x) 1.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
6×*-un-lft-identity
4×pow1 add-cube-cbrt sqrt-prod
3×add-cbrt-cube add-exp-log
2×flip3-- sqrt-div flip-- difference-of-squares
1×+-commutative rem-sqrt-square sum-log sub-neg sqrt-pow1 flip3-+ pow1/2 diff-log flip-+ distribute-lft-out
Counts
3 → 41
Calls
3 calls:
6.0ms
(- (* x x) 1.0)
17.0ms
(+ x (sqrt (- (* x x) 1.0)))
16.0ms
(sqrt (- (* x x) 1.0))

series193.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (* x x) 1.0)
82.0ms
(+ x (sqrt (- (* x x) 1.0)))
60.0ms
(sqrt (- (* x x) 1.0))

simplify1.7s

Counts
50 → 50
Iterations
IterNodes
done5002
31994
2620
1232
098

prune226.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.5b
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
10×*-un-lft-identity
9×associate-*r*
7×associate-*l*
6×pow1 add-cube-cbrt
4×frac-times flip3-+ add-cbrt-cube add-exp-log flip-+ add-log-exp unswap-sqr
3×flip3-- pow-prod-down flip--
2×sqrt-pow1 pow1/2 associate-*l/ associate-*r/ difference-of-squares
1×+-commutative sum-log sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
2 → 53
Calls
2 calls:
4.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
56.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series506.0ms

Counts
2 → 6
Calls
2 calls:
212.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
293.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify2.7s

Counts
59 → 59
Iterations
IterNodes
done5013
33719
21034
1366
0152

prune304.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s16304×body80nan
661.0ms7878×body160nan
502.0ms8000×body80valid