Details

Time bar (total: 2.9s)

sample35.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
7.0ms250×body80nan

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done13
313
211
17
05

prune6.0ms

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)))

rewrite12.0ms

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:
11.0ms
(sqrt (- 1.0 (* x x)))

series110.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(sqrt (- 1.0 (* x x)))

simplify561.0ms

Counts
21 → 21
Iterations
IterNodes
done5000
2745
1172
069

prune89.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt log-prod sqrt-prod
5×pow1 *-un-lft-identity add-cube-cbrt
3×add-exp-log log-pow
2×expm1-log1p-u sqrt-pow1 add-cbrt-cube pow1/2 log1p-expm1-u add-log-exp
1×rem-sqrt-square rem-log-exp
Counts
2 → 34
Calls
2 calls:
2.0ms
(sqrt (fma (- x) x 1.0))
3.0ms
(log (sqrt (fma (- x) x 1.0)))

series419.0ms

Counts
2 → 6
Calls
2 calls:
129.0ms
(sqrt (fma (- x) x 1.0))
290.0ms
(log (sqrt (fma (- x) x 1.0)))

simplify411.0ms

Counts
40 → 40
Iterations
IterNodes
done5001
2721
1202
093

prune188.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done7
07

end0.0ms

sample1.0s

Algorithm
intervals
Results
593.0ms8000×body80valid
227.0ms8142×body80nan