Details

Time bar (total: 8.2s)

sample354.0ms

Algorithm
intervals
Results
225.0ms256×body80valid
38.0ms250×body80nan

simplify36.0ms

Counts
1 → 1
Iterations
IterNodes
done23
323
221
118
09

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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:
21.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
55.0ms
(/ (- 1 x) (+ 1 x))

series134.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
49.0ms
(/ (- 1 x) (+ 1 x))

simplify1.1s

Counts
105 → 105
Iterations
IterNodes
done2008
32008
2781
1340
0159

prune1.0s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize55.0ms

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))

rewrite25.0ms

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))))
22.0ms
(/ (- 1 x) (+ 1 x))

series368.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(log1p (/ (- 1 x) (+ 1 x)))
173.0ms
(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
105.0ms
(expm1 (log1p (/ (- 1 x) (+ 1 x))))
28.0ms
(/ (- 1 x) (+ 1 x))

simplify1.4s

Counts
106 → 106
Iterations
IterNodes
done2026
32026
21325
1495
0204

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s7967×body80nan
884.0ms8000×body80valid