Details

Time bar (total: 6.5s)

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms231×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
17
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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 insert-posit16 flip-- add-log-exp difference-of-squares
Counts
1 → 17
Calls
1 calls:
3.0ms
(sqrt (- 1.0 (* x x)))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(sqrt (- 1.0 (* x x)))

simplify1.2s

Counts
20 → 20
Iterations
IterNodes
done5001
31892
2446
1155
068

prune59.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x x) 1/2)
0.2b
(* (* x x) (* x x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
118×pow1
36×pow-prod-up
26×pow-prod-down
22×pow-sqr
19×add-cbrt-cube add-exp-log
18×pow-plus
13×pow2
11×prod-exp cbrt-unprod
4×add-sqr-sqrt associate-*r*
3×*-un-lft-identity add-cube-cbrt
2×associate-*l* *-commutative insert-posit16 add-log-exp unswap-sqr
1×swap-sqr
Counts
2 → 84
Calls
2 calls:
14.0ms
(* (* x x) 1/2)
27.0ms
(* (* x x) (* x x))

series76.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (* x x) 1/2)
41.0ms
(* (* x x) (* x x))

simplify3.2s

Counts
90 → 90
Iterations
IterNodes
done5156
44272
31491
2708
1214
071

prune199.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify6.0ms

Iterations
IterNodes
done16
116
014

end0.0ms

sample1.6s

Algorithm
intervals
Results
515.0ms8000×body80valid
471.0ms7614×body80nan