Details

Time bar (total: 8.0s)

sample79.0ms

Algorithm
intervals
Results
19.0ms502×body80nan
19.0ms225×body160nan
13.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize10.0ms

Local error

Found 1 expressions with local error:

30.1b
(sqrt (- (* x x) 1.0))

rewrite27.0ms

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:
26.0ms
(sqrt (- (* x x) 1.0))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(sqrt (- (* x x) 1.0))

simplify3.1s

Counts
19 → 19
Iterations
IterNodes
done5000
34999
2581
1149
064

prune83.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
9×*-un-lft-identity associate-*r*
7×associate-*l*
5×pow1 add-cube-cbrt
4×frac-times unswap-sqr
3×flip3-+ flip3-- add-cbrt-cube pow-prod-down add-exp-log flip-+ flip--
2×sqrt-pow1 pow1/2 associate-*l/ associate-*r/ difference-of-squares
1×sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp
Counts
1 → 42
Calls
1 calls:
79.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))

series253.0ms

Counts
1 → 3
Calls
1 calls:
253.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))

simplify588.0ms

Counts
45 → 45
Iterations
IterNodes
done5000
21100
1299
0133

prune179.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.4s7728×body160nan
824.0ms16233×body80nan
559.0ms8000×body80valid