Details

Time bar (total: 6.2s)

sample38.0ms

Algorithm
intervals
Results
10.0ms277×body80nan
9.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
17
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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:
5.0ms
(sqrt (- 1.0 (* x x)))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(sqrt (- 1.0 (* x x)))

simplify663.0ms

Counts
19 → 19
Iterations
IterNodes
done5001
2708
1164
067

prune100.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x x) (* x x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
112×pow1
36×pow-prod-up
23×pow-prod-down
22×pow-sqr
18×pow-plus
13×pow2 add-cbrt-cube add-exp-log
8×prod-exp cbrt-unprod
1×add-sqr-sqrt *-un-lft-identity swap-sqr associate-*r* associate-*l* *-commutative add-cube-cbrt add-log-exp unswap-sqr
Counts
1 → 63
Calls
1 calls:
30.0ms
(* (* x x) (* x x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* (* x x) (* x x))

simplify4.1s

Counts
66 → 66
Iterations
IterNodes
done5000
33549
2392
1121
043

prune121.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample969.0ms

Algorithm
intervals
Results
345.0ms8007×body80nan
327.0ms8000×body80valid