Details

Time bar (total: 3.6s)

sample25.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
6.0ms250×body80nan

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
17122
211122
313122
done13122

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity sqrt-div add-cube-cbrt
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:
12.0ms
(sqrt (- 1.0 (* x x)))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(sqrt (- 1.0 (* x x)))

simplify869.0ms

Counts
21 → 21
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
0696613
11725106
27454799
done50004799

prune98.0ms

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
log-prod
pow1 *-un-lft-identity add-cube-cbrt
sqrt-div
add-exp-log log-pow
expm1-log1p-u log-div sqrt-pow1 flip3-- add-cbrt-cube pow1/2 log1p-expm1-u flip-- add-log-exp difference-of-squares
rem-sqrt-square rem-log-exp
Counts
2 → 40
Calls
2 calls:
6.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(log (sqrt (- 1.0 (* x x))))

series327.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(sqrt (- 1.0 (* x x)))
235.0ms
(log (sqrt (- 1.0 (* x x))))

simplify972.0ms

Counts
46 → 46
Iterations

Useful iterations: 2 (374.0ms)

IterNodesCost
011717022
126513388
2113812784
done500112784

prune217.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07262
done7262

end0.0ms

sample919.0ms

Algorithm
intervals
Results
358.0ms8142×body80nan
274.0ms8000×body80valid