Details

Time bar (total: 10.5s)

sample110.0ms

Algorithm
intervals
Results
61.0ms862×body80nan
16.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
31813
done1813

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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
30×*-un-lft-identity
21×times-frac
14×add-sqr-sqrt add-cube-cbrt
13×fma-def
8×log-prod distribute-lft-out
5×div-inv
4×add-log-exp
3×pow1 add-exp-log log-div
2×expm1-log1p-u distribute-rgt-out flip3-+ frac-add add-cbrt-cube flip-+ log1p-expm1-u
1×+-commutative rem-log-exp sum-log log-pow
Counts
2 → 54
Calls
2 calls:
46.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
58.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series528.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
414.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify1.9s

Counts
60 → 60
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0136975
1341937
2972851
33520826
done5000822

prune230.0ms

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))))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×fma-def
11×pow1 log-prod
10×add-sqr-sqrt add-cube-cbrt
9×distribute-lft-out
8×distribute-rgt-neg-in log-pow
6×add-log-exp
4×add-exp-log distribute-lft-neg-in log-div associate-+r+ flip3-+ flip-+
3×expm1-log1p-u associate-+l+ distribute-neg-in sum-log add-cbrt-cube log1p-expm1-u
2×+-commutative associate-+r-
1×neg-sub0 associate-+l- neg-mul-1 rem-log-exp neg-log
Counts
3 → 76
Calls
3 calls:
13.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
18.0ms
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
54.0ms
(+ (- (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

series713.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
254.0ms
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
391.0ms
(+ (- (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify2.4s

Counts
85 → 85
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01511244
14111152
211811027
340781015
done50001012

prune376.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.5s23815×body80nan
678.0ms8000×body80valid