Details

Time bar (total: 11.5s)

sample31.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify38.0ms

Calls
1 calls:
Slowest
38.0ms
(/ 2 (+ (exp x) (exp (- x))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
associate-/r* *-un-lft-identity
add-sqr-sqrt associate-/r/ add-cube-cbrt
expm1-log1p-u pow1 clear-num frac-2neg flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u div-inv distribute-lft-out add-log-exp
Calls
1 calls:
Slowest
4.0ms
(/ 2 (+ (exp x) (exp (- x))))

series46.0ms

Calls
1 calls:
Slowest
46.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify456.0ms

Calls
9 calls:
Slowest
214.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
102.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
31.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
25.0ms
(sqrt (+ (exp x) (exp (- x))))
22.0ms
(+ (exp x) (exp (- x)))

prune147.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 2 (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity times-frac
32×sqrt-prod
26×add-sqr-sqrt add-cube-cbrt
20×sqrt-div associate-/r/
14×associate-/r*
10×flip3-+ flip-+ div-inv
distribute-lft-out
associate-/l*
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
cbrt-undiv div-exp associate-/l/
Calls
2 calls:
Slowest
18.0ms
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
9.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))

series173.0ms

Calls
2 calls:
Slowest
129.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))
44.0ms
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))

simplify8.7s

Calls
114 calls:
Slowest
622.0ms
(/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
280.0ms
(/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
276.0ms
(/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))))
274.0ms
(/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
258.0ms
(/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample754.0ms

Algorithm
intervals
Results
657.0ms8000×body80valid