Details

Time bar (total: 3.4s)

sample28.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms250×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
17
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
1×rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
4.0ms
(sqrt (- 1.0 (* x x)))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(sqrt (- 1.0 (* x x)))

simplify602.0ms

Counts
19 → 19
Iterations
IterNodes
done5001
2708
1164
067

prune108.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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×log-div sqrt-pow1 flip3-- add-cbrt-cube pow1/2 flip-- add-log-exp difference-of-squares
1×rem-sqrt-square rem-log-exp
Counts
2 → 36
Calls
2 calls:
7.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(log (sqrt (- 1.0 (* x x))))

series379.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(sqrt (- 1.0 (* x x)))
294.0ms
(log (sqrt (- 1.0 (* x x))))

simplify727.0ms

Counts
42 → 42
Iterations
IterNodes
done5000
21098
1253
0113

prune221.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done7
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
653.0ms8000×body80valid
221.0ms8142×body80nan