Details

Time bar (total: 12.9s)

sample98.0ms

Algorithm
intervals
Results
56.0ms826×body80nan
21.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
12.0ms
(- (log x) (log (log x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (log x) (log (log x)))
0.1b
(log (log x))

rewrite21.0ms

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
4×fma-neg associate--r+ distribute-lft-out--
3×associate--l+ add-exp-log
2×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
1×sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
2 → 63
Calls
2 calls:
Slowest
17.0ms
(- (log x) (log (log x)))
3.0ms
(log (log x))

series784.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
481.0ms
(- (log x) (log (log x)))
303.0ms
(log (log x))

simplify3.4s

Counts
59 → 69
Calls
59 calls:
Slowest
570.0ms
(- (log -1) (+ (log (- (log -1) (log (/ -1 x)))) (log (/ -1 x))))
213.0ms
(fma (sqrt (log x)) (sqrt (log x)) (- (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x)))))))
186.0ms
(fma 1 (log x) (- (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x)))))))
170.0ms
(fma 1 (log x) (- (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x)))))))
164.0ms
(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))))))

prune482.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ x (log x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×associate-/r* log-pow
3×add-cbrt-cube add-exp-log associate-/l*
1×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
7.0ms
(/ x (log x))

series396.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
396.0ms
(/ x (log x))

simplify790.0ms

Counts
35 → 37
Calls
35 calls:
Slowest
409.0ms
(/ (* (* x x) x) (* (* (log x) (log x)) (log x)))
63.0ms
(/ x (- (log -1) (log (/ -1 x))))
55.0ms
(* -1 (/ x (log (/ 1 x))))
52.0ms
(/ (* (cbrt x) (cbrt x)) (* (cbrt (log x)) (cbrt (log x))))
25.0ms
(/ (* (cbrt x) (cbrt x)) 1)

prune252.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt x) (/ (sqrt x) (log x)))
0.3b
(/ (sqrt x) (log x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt times-frac
36×*-un-lft-identity add-cube-cbrt
35×sqrt-prod
28×associate-*r*
17×pow1
13×log-pow
9×add-cbrt-cube add-exp-log
6×associate-*l* associate-/l* unswap-sqr
4×associate-/r*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 106
Calls
2 calls:
Slowest
25.0ms
(* (sqrt x) (/ (sqrt x) (log x)))
15.0ms
(/ (sqrt x) (log x))

series286.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
205.0ms
(* (sqrt x) (/ (sqrt x) (log x)))
81.0ms
(/ (sqrt x) (log x))

simplify2.5s

Counts
116 → 112
Calls
116 calls:
Slowest
685.0ms
(* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (sqrt x) (log x)) (/ (sqrt x) (log x))) (/ (sqrt x) (log x))))
314.0ms
(* (* (* (sqrt x) (sqrt x)) (sqrt x)) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (log x) (log x)) (log x))))
271.0ms
(/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (log x) (log x)) (log x)))
81.0ms
(* -1 (/ x (log (/ 1 x))))
70.0ms
(+ (log (sqrt x)) (- (log (sqrt x)) (log (log x))))

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.6s23765×body80nan
590.0ms8000×body80valid