Details

Time bar (total: 11.7s)

sample149.0ms

Algorithm
intervals
Results
76.0ms744×body80nan
30.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done18
218
114
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 1 expressions with local error:

0.2b
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×log-prod
13×times-frac
9×add-sqr-sqrt
8×distribute-lft-out
6×add-cube-cbrt div-inv
3×log-div distribute-rgt-out sqrt-prod
2×pow1 add-exp-log
1×flip3-+ add-cbrt-cube rem-log-exp frac-add distribute-rgt1-in log-pow flip-+ insert-posit16 add-log-exp
Counts
1 → 28
Calls
1 calls:
20.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

series227.0ms

Counts
1 → 3
Calls
1 calls:
227.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

simplify1.1s

Counts
31 → 31
Iterations
IterNodes
done2001
42001
31977
2596
1249
0118

prune283.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
0.2b
(/ 1 (sqrt x))
0.2b
(/ 1 (sqrt x))
0.2b
(/ (sqrt (- 1 (* x x))) (sqrt x))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
136×times-frac
131×*-un-lft-identity
120×sqrt-prod
111×add-sqr-sqrt
88×add-cube-cbrt
48×log-prod
26×associate-+r+
22×associate-+l+ distribute-lft-out
18×associate-/r*
14×add-exp-log associate-/l* difference-of-squares
12×pow1
11×div-inv
10×add-cbrt-cube
6×pow-flip
5×div-exp
4×log-div distribute-rgt-out log-pow insert-posit16 add-log-exp
3×cbrt-undiv clear-num associate-+r- frac-2neg
2×rec-exp sqrt-pow1 flip3-+ pow1/2 sqrt-div 1-exp flip-+ inv-pow associate-/l/
1×+-commutative sqrt-undiv sum-log flip3-- frac-add distribute-rgt1-in associate-+l- flip--
Counts
4 → 238
Calls
4 calls:
27.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
9.0ms
(/ 1 (sqrt x))
5.0ms
(/ 1 (sqrt x))
14.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))

series539.0ms

Counts
4 → 12
Calls
4 calls:
380.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
43.0ms
(/ 1 (sqrt x))
36.0ms
(/ 1 (sqrt x))
79.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))

simplify1.3s

Counts
250 → 250
Iterations
IterNodes
done2019
32019
21813
1729
0336

prune2.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.5s24059×body80nan
1.1s8000×body80valid