Details

Time bar (total: 24.5s)

sample166.0ms

Algorithm
intervals
Results
29.0ms256×body80valid
25.0ms250×body80nan

simplify57.0ms

Counts
1 → 1
Iterations
IterNodes
421
321
219
116
09

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
55×add-sqr-sqrt
49×times-frac
30×sqrt-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log associate-/r/
3×pow1
2×expm1-log1p-u rem-sqrt-square flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
2 → 99
Calls
2 calls:
47.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
21.0ms
(/ (- 1 x) (+ 1 x))

series215.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
98.0ms
(/ (- 1 x) (+ 1 x))

simplify15.2s

Counts
105 → 105
Iterations
IterNodes
45876
31949
2688
1325
0159

prune1.0s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ (- 1 x) (+ 1 x)))
0.0b
(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
0.0b
(expm1 (log1p (/ (- 1 x) (+ 1 x))))
0.0b
(/ (- 1 x) (+ 1 x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
33×add-sqr-sqrt
24×times-frac
17×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×add-cbrt-cube add-exp-log associate-/l*
5×expm1-log1p-u pow1 distribute-lft-out--
4×associate-/r* insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod
2×associate-/r/ associate-/l/
1×cbrt-undiv rem-sqrt-square log1p-udef expm1-log1p clear-num frac-2neg sqrt-pow1 flip3-+ flip3-- pow1/2 div-sub div-exp log1p-expm1 flip-+ div-inv flip-- expm1-udef
Counts
4 → 94
Calls
4 calls:
0.0ms
(log1p (/ (- 1 x) (+ 1 x)))
1.0ms
(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
0.0ms
(expm1 (log1p (/ (- 1 x) (+ 1 x))))
20.0ms
(/ (- 1 x) (+ 1 x))

series364.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(log1p (/ (- 1 x) (+ 1 x)))
175.0ms
(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
99.0ms
(expm1 (log1p (/ (- 1 x) (+ 1 x))))
40.0ms
(/ (- 1 x) (+ 1 x))

simplify4.1s

Counts
106 → 106
Iterations
IterNodes
33520
21183
1482
0204

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
213
113
011

end0.0ms

sample2.1s

Algorithm
intervals
Results
960.0ms8000×body80valid
860.0ms7967×body80nan