Details

Time bar (total: 5.5s)

sample113.0ms

Algorithm
intervals
Results
49.0ms796×body80nan
29.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
31813
done1813

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×times-frac
20×sqrt-prod
19×add-cube-cbrt *-un-lft-identity
7×associate-/l*
5×difference-of-squares
4×add-exp-log sqrt-div add-cbrt-cube
3×pow1 associate-/r*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
2 → 65
Calls
2 calls:
8.0ms
(sqrt (- 1.0 (* x x)))
20.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series284.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(sqrt (- 1.0 (* x x)))
195.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify929.0ms

Counts
71 → 71
Iterations

Useful iterations: done (925.0ms)

IterNodesCost
01451035
1320946
21308902
done5000896

prune271.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11013
done1013

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.8s24542×body80nan
1.2s8000×body80valid