Details

Time bar (total: 17.9s)

sample136.0ms

Algorithm
intervals
Results
88.0ms736×body80nan
30.0ms256×body80valid

simplify21.0ms

Calls
1 calls:
Slowest
20.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
26×times-frac
21×add-sqr-sqrt
16×distribute-lft-out
15×log-prod
13×add-cube-cbrt
12×div-inv
11×sqrt-prod
6×distribute-rgt-out
5×pow1 add-log-exp
4×add-exp-log
3×log-div add-cbrt-cube insert-posit16
2×flip3-+ sqrt-div frac-add distribute-rgt1-in flip-+ difference-of-squares
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-- pow1/2 rem-log-exp log-pow flip--
Calls
3 calls:
Slowest
31.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
25.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
8.0ms
(sqrt (- 1 (* x x)))

series447.0ms

Calls
3 calls:
Slowest
264.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
99.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
84.0ms
(sqrt (- 1 (* x x)))

simplify4.6s

Calls
61 calls:
Slowest
412.0ms
(- (log 2) (+ (* 1/4 (pow x 2)) (+ (* 3/32 (pow x 4)) (log x))))
406.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))
393.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))
369.0ms
(+ (* 1/3 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
348.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))

prune607.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
23×log-prod
19×add-sqr-sqrt
14×add-cube-cbrt
13×associate-+r+
10×pow1 distribute-lft-out
9×times-frac
8×sqrt-prod
6×add-log-exp
5×log-div associate-+l+ add-exp-log log-pow
4×flip3-+ add-cbrt-cube flip-+ insert-posit16
2×+-commutative sum-log sqrt-div log-rec associate-+l- difference-of-squares
1×rem-sqrt-square associate-+r- sqrt-pow1 flip3-- pow1/2 rem-log-exp unsub-neg div-inv flip--
Calls
4 calls:
Slowest
35.0ms
(+ (log (+ (sqrt (- 1 (* x x))) 1)) (log (/ 1 x)))
30.0ms
(+ (sqrt (- 1 (* x x))) 1)
20.0ms
(log (+ (sqrt (- 1 (* x x))) 1))
15.0ms
(sqrt (- 1 (* x x)))

series492.0ms

Calls
4 calls:
Slowest
201.0ms
(+ (log (+ (sqrt (- 1 (* x x))) 1)) (log (/ 1 x)))
186.0ms
(log (+ (sqrt (- 1 (* x x))) 1))
62.0ms
(sqrt (- 1 (* x x)))
44.0ms
(+ (sqrt (- 1 (* x x))) 1)

simplify4.9s

Calls
61 calls:
Slowest
453.0ms
(- (log 2) (+ (* 1/4 (pow x 2)) (+ (* 3/32 (pow x 4)) (log x))))
410.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))
390.0ms
(+ (* 1/3 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
275.0ms
(sqrt (- (pow 1 3) (pow (* x x) 3)))
271.0ms
(log (+ (pow (sqrt (- 1 (* x x))) 3) (pow 1 3)))

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
3.7s24268×body80nan
1.2s8000×body80valid