Details

Time bar (total: 28.9s)

sample183.0ms

Algorithm
intervals
Results
119.0ms849×body80nan
37.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations
IterNodes
316
216
112
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
0.0b
(sqrt (- 1 (* x x)))
0.0b
(/ (sqrt (- 1 (* x x))) x)
0.2b
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
50×times-frac
43×add-sqr-sqrt
31×add-cube-cbrt sqrt-prod
16×distribute-lft-out
15×log-prod
13×div-inv
10×difference-of-squares
8×associate-/l*
7×add-exp-log
6×pow1 distribute-rgt-out add-cbrt-cube add-log-exp
4×sqrt-div insert-posit16
3×log-div associate-/r*
2×flip3-+ flip3-- frac-add distribute-rgt1-in flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp log-pow
Counts
4 → 121
Calls
4 calls:
16.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
4.0ms
(sqrt (- 1 (* x x)))
11.0ms
(/ (sqrt (- 1 (* x x))) x)
13.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

series993.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
67.0ms
(sqrt (- 1 (* x x)))
170.0ms
(/ (sqrt (- 1 (* x x))) x)
657.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

simplify4.2s

Counts
133 → 133
Iterations
IterNodes
34456
21291
1489
0239

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

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))

rewrite79.0ms

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:
34.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
10.0ms
(/ 1 (sqrt x))
10.0ms
(/ 1 (sqrt x))
16.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))

series646.0ms

Counts
4 → 12
Calls
4 calls:
486.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
31.0ms
(/ 1 (sqrt x))
35.0ms
(/ 1 (sqrt x))
95.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))

simplify13.8s

Counts
250 → 250
Iterations
IterNodes
35085
21936
1707
0336

prune2.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
214
114
012

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.2s24086×body80nan
995.0ms8000×body80valid