Details

Time bar (total: 4.5s)

sample108.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
10.0ms229×body80nan

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
11611
21911
32111
done2111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
44×add-sqr-sqrt
41×times-frac
26×sqrt-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×expm1-log1p-u rem-sqrt-square flip3-+ flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
2 → 88
Calls
2 calls:
19.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
29.0ms
(/ (- 1.0 x) (+ 1.0 x))

series141.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
43.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify2.1s

Counts
94 → 94
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01591358
13551275
29001204
323111191
done50011171

prune353.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample1.7s

Algorithm
intervals
Results
764.0ms8000×body80valid
497.0ms7970×body80nan