Details

Time bar (total: 10.3s)

sample147.0ms

Algorithm
intervals
Results
51.0ms527×body80nan
45.0ms238×body160nan
26.0ms256×body80valid

simplify1.8s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1)))
33.6b
(sqrt (- (* x x) 1))

rewrite31.0ms

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:
15.0ms
(+ x (sqrt (- (* x x) 1)))
15.0ms
(sqrt (- (* x x) 1))

series108.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ x (sqrt (- (* x x) 1)))
45.0ms
(sqrt (- (* x x) 1))

simplify1.1s

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

prune135.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

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))

rewrite227.0ms

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:
31.0ms
(+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))
181.0ms
(+ x (- x (+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))))
14.0ms
(/ (/ 1/8 x) (* x x))

series223.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))
61.0ms
(+ x (- x (+ (/ (/ 1/8 x) (* x x)) (/ 1/2 x))))
53.0ms
(/ (/ 1/8 x) (* x x))

simplify1.6s

Counts
90 → 90
Iterations
IterNodes
done2121
32121
21548
1404
0160

prune310.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.8s7860×body160nan
1.4s16475×body80nan
759.0ms8000×body80valid