Details

Time bar (total: 10.2s)

sample116.0ms

Algorithm
intervals
Results
41.0ms279×body160nan
33.0ms520×body80nan
22.0ms256×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done2000
82000
71825
6472
5156
460
335
219
116
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1)))
31.5b
(sqrt (- (* x x) 1))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity sqrt-prod
5×add-sqr-sqrt
4×add-log-exp
3×pow1 add-cube-cbrt
2×add-cbrt-cube sqrt-div add-exp-log insert-posit16 difference-of-squares
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ flip3-- pow1/2 difference-of-sqr-1 flip-+ flip-- distribute-lft-out
Counts
2 → 32
Calls
2 calls:
13.0ms
(+ x (sqrt (- (* x x) 1)))
8.0ms
(sqrt (- (* x x) 1))

series125.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ x (sqrt (- (* x x) 1)))
52.0ms
(sqrt (- (* x x) 1))

simplify1.3s

Counts
38 → 38
Iterations
IterNodes
done2000
42000
31427
2508
1208
091

prune295.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))
0.0b
(+ x (- x (+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))))
0.1b
(/ (/ 1/8 x) (* x x))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×*-un-lft-identity
17×add-sqr-sqrt add-cube-cbrt
15×add-cbrt-cube add-exp-log
14×add-log-exp
13×associate-/l*
6×cbrt-undiv div-exp
5×sum-log distribute-lft-out
3×pow1 insert-posit16 div-inv
2×+-commutative associate-+r+ flip3-+ diff-log prod-exp cbrt-unprod flip-+ distribute-lft-out--
1×clear-num associate-+r- associate-/r* sub-neg frac-2neg frac-add associate-/l/
Counts
3 → 81
Calls
3 calls:
21.0ms
(+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))
218.0ms
(+ x (- x (+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))))
10.0ms
(/ (/ 1/8 x) (* x x))

series180.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))
47.0ms
(+ x (- x (+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))))
42.0ms
(/ (/ 1/8 x) (* x x))

simplify1.3s

Counts
90 → 90
Iterations
IterNodes
done2121
32121
21548
1404
0160

prune799.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.7s7748×body160nan
1.0s16323×body80nan
663.0ms8000×body80valid