Details

Time bar (total: 8.7s)

sample550.0ms

Algorithm
intervals
Results
75.0ms256×body80valid
44.0ms257×body80nan

simplify104.0ms

Counts
1 → 1

prune99.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(sqrt (/ (- 1 x) (+ 1 x)))
0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
56×add-sqr-sqrt
49×times-frac
30×sqrt-prod
26×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
5×add-cbrt-cube add-exp-log
4×pow1 associate-/r* associate-/r/
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
3 → 109
Calls
3 calls:
Slowest
31.0ms
(/ (- 1 x) (+ 1 x))
17.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
2.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series157.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
74.0ms
(/ (- 1 x) (+ 1 x))
74.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
9.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify939.0ms

Counts
118 → 118

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(log (exp (/ (- 1 x) (+ 1 x))))
0.0b
(exp (/ (- 1 x) (+ 1 x)))
0.0b
(sqrt (log (exp (/ (- 1 x) (+ 1 x)))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
103×add-sqr-sqrt
96×times-frac
90×exp-prod
62×log-pow
51×add-cube-cbrt
34×sqrt-prod difference-of-squares
25×distribute-lft-out
17×distribute-lft-out--
8×associate-/r/
7×pow1
6×add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
4×expm1-log1p-u associate-/r* flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv
3×log-prod div-sub
2×exp-diff associate-/l/
1×cbrt-undiv rem-sqrt-square log-div clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 div-exp rem-log-exp flip-- rem-exp-log
Counts
4 → 189
Calls
4 calls:
Slowest
41.0ms
(sqrt (log (exp (/ (- 1 x) (+ 1 x)))))
28.0ms
(log (exp (/ (- 1 x) (+ 1 x))))
22.0ms
(/ (- 1 x) (+ 1 x))
22.0ms
(exp (/ (- 1 x) (+ 1 x)))

series175.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
62.0ms
(sqrt (log (exp (/ (- 1 x) (+ 1 x)))))
51.0ms
(exp (/ (- 1 x) (+ 1 x)))
35.0ms
(log (exp (/ (- 1 x) (+ 1 x))))
28.0ms
(/ (- 1 x) (+ 1 x))

simplify1.1s

Counts
201 → 201

prune1.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s7913×body80nan
991.0ms8000×body80valid