Details

Time bar (total: 5.9s)

sample101.0ms

Algorithm
intervals
Results
25.0ms225×body160nan
25.0ms502×body80nan
17.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize34.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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 (- (* x x) 1.0))

series66.0ms

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

simplify527.0ms

Counts
21 → 21
Iterations
IterNodes
done5000
2638
1158
066

prune125.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
*-un-lft-identity associate-*r*
associate-*l*
pow1 add-cube-cbrt
frac-times unswap-sqr
flip3-+ flip3-- add-cbrt-cube pow-prod-down add-exp-log flip-+ flip--
sqrt-pow1 pow1/2 associate-*l/ associate-*r/ difference-of-squares
expm1-log1p-u sqrt-unprod prod-exp *-commutative cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp
Counts
1 → 44
Calls
1 calls:
51.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))

series281.0ms

Counts
1 → 3
Calls
1 calls:
280.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))

simplify785.0ms

Counts
47 → 47
Iterations
IterNodes
done5000
21172
1313
0135

prune293.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.0s7728×body160nan
886.0ms16233×body80nan
882.0ms8000×body80valid