Details

Time bar (total: 9.3s)

sample99.0ms

Algorithm
intervals
Results
27.0ms273×body160nan
25.0ms575×body80nan
14.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize12.0ms

Local error

Found 1 expressions with local error:

28.7b
(sqrt (- (* x x) 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity sqrt-div add-cube-cbrt
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:
9.0ms
(sqrt (- (* x x) 1.0))

series85.0ms

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

simplify3.6s

Counts
19 → 19
Iterations
IterNodes
done5000
34999
2581
1149
064

prune116.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ x (sqrt 1.0)))
0.5b
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×sqrt-prod
14×sqrt-div
13×*-un-lft-identity
associate-*r*
pow1 associate-*l* add-cube-cbrt
frac-times flip3-+ add-cbrt-cube add-exp-log flip-+ unswap-sqr
sqrt-pow1 flip3-- pow1/2 pow-prod-down flip--
associate-*l/ associate-*r/ distribute-lft-out add-log-exp difference-of-squares
rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out--
Counts
2 → 58
Calls
2 calls:
8.0ms
(sqrt (+ x (sqrt 1.0)))
59.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series388.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(sqrt (+ x (sqrt 1.0)))
302.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify1.0s

Counts
64 → 64
Iterations
IterNodes
done5000
21270
1343
0150

prune320.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.4s7642×body160nan
738.0ms15820×body80nan
622.0ms8000×body80valid