Details

Time bar (total: 3.9s)

sample43.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
10.0ms250×body80nan

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done13
313
211
17
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
1×expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log log1p-expm1-u flip-- add-log-exp difference-of-squares
Counts
1 → 18
Calls
1 calls:
6.0ms
(sqrt (- 1.0 (* x x)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(sqrt (- 1.0 (* x x)))

simplify832.0ms

Counts
21 → 21
Iterations
IterNodes
done5000
2745
1172
069

prune85.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
3.0b
(log (sqrt (- 1.0 (* x x))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
7×log-prod
5×pow1 *-un-lft-identity add-cube-cbrt
4×sqrt-div
3×add-exp-log log-pow
2×expm1-log1p-u log-div sqrt-pow1 flip3-- add-cbrt-cube pow1/2 log1p-expm1-u flip-- add-log-exp difference-of-squares
1×rem-sqrt-square rem-log-exp
Counts
2 → 40
Calls
2 calls:
6.0ms
(sqrt (- 1.0 (* x x)))
7.0ms
(log (sqrt (- 1.0 (* x x))))

series308.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(sqrt (- 1.0 (* x x)))
226.0ms
(log (sqrt (- 1.0 (* x x))))

simplify992.0ms

Counts
46 → 46
Iterations
IterNodes
done5001
21138
1265
0117

prune241.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done7
07

end0.0ms

sample1.3s

Algorithm
intervals
Results
605.0ms8142×body80nan
306.0ms8000×body80valid