Details

Time bar (total: 9.6s)

sample94.0ms

Algorithm
intervals
Results
48.0ms788×body80nan
22.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
13.0ms
(- (log x) (log (log x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (log x) (log (log x)))
0.1b
(log (log x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 *-un-lft-identity
16×add-sqr-sqrt prod-diff log-pow
14×add-cube-cbrt
11×log-prod
fma-neg associate--r+ distribute-lft-out--
associate--l+ add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
2 → 63
Calls
2 calls:
Slowest
15.0ms
(- (log x) (log (log x)))
3.0ms
(log (log x))

series871.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
570.0ms
(- (log x) (log (log x)))
300.0ms
(log (log x))

simplify3.6s

Counts
59 → 69
Calls
59 calls:
Slowest
631.0ms
(- (log -1) (+ (log (- (log -1) (log (/ -1 x)))) (log (/ -1 x))))
260.0ms
(fma (sqrt (log x)) (sqrt (log x)) (- (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x)))))))
187.0ms
(fma 1 (log x) (- (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x)))))))
186.0ms
(fma (* (cbrt (log x)) (cbrt (log x))) (cbrt (log x)) (- (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x)))))))
169.0ms
(fma (- (cbrt (log (log x)))) (* (cbrt (log (log x))) (cbrt (log (log x)))) (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x))))))

prune508.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ x (log x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1
associate-/r* log-pow
add-cbrt-cube add-exp-log associate-/l*
expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
Slowest
9.0ms
(/ x (log x))

series403.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
403.0ms
(/ x (log x))

simplify954.0ms

Counts
35 → 37
Calls
35 calls:
Slowest
482.0ms
(/ (* (* x x) x) (* (* (log x) (log x)) (log x)))
95.0ms
(/ x (- (log -1) (log (/ -1 x))))
65.0ms
(* -1 (/ x (log (/ 1 x))))
56.0ms
(/ (* (cbrt x) (cbrt x)) (* (cbrt (log x)) (cbrt (log x))))
30.0ms
(/ (* (cbrt x) (cbrt x)) 1)

prune303.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.7s24077×body80nan
656.0ms8000×body80valid