Details

Time bar (total: 10.5s)

sample75.0ms

Algorithm
intervals
Results
36.0ms862×body80nan
13.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
done1613

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.2b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
12×times-frac
8×log-prod distribute-lft-out
7×add-sqr-sqrt add-cube-cbrt
4×div-inv add-log-exp
3×pow1 add-exp-log log-div
2×distribute-rgt-out flip3-+ frac-add add-cbrt-cube flip-+
1×+-commutative rem-log-exp sum-log log-pow
Counts
2 → 37
Calls
2 calls:
46.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
57.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series568.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
429.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify1.9s

Counts
43 → 43
Iterations

Useful iterations: 3 (837.0ms)

IterNodesCost
0132921
1327892
2907803
33307776
done5001776

prune158.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (sqrt (- 1.0 (* x x))))
0.0b
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
0.2b
(+ (- (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
11×log-prod
9×pow1 distribute-lft-out
6×add-sqr-sqrt add-cube-cbrt log-pow add-log-exp
4×add-exp-log log-div associate-+r+ distribute-rgt-neg-in flip3-+ flip-+
3×associate-+l+ distribute-neg-in sum-log add-cbrt-cube
2×+-commutative associate-+r-
1×neg-sub0 associate-+l- rem-log-exp neg-log
Counts
3 → 55
Calls
3 calls:
16.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
24.0ms
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
37.0ms
(+ (- (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

series762.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
320.0ms
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
371.0ms
(+ (- (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify2.4s

Counts
64 → 64
Iterations

Useful iterations: 3 (977.0ms)

IterNodesCost
01451178
13911095
21089971
33653962
done5000962

prune270.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.0s23815×body80nan
1.3s8000×body80valid