Details

Time bar (total: 5.4s)

sample96.0ms

Algorithm
intervals
Results
45.0ms796×body80nan
18.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
done1613

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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×flip3-- flip-- 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 → 61
Calls
2 calls:
12.0ms
(sqrt (- 1.0 (* x x)))
28.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series296.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(sqrt (- 1.0 (* x x)))
226.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify785.0ms

Counts
67 → 67
Iterations

Useful iterations: done (782.0ms)

IterNodesCost
01411003
1307922
21279878
done5000870

prune258.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11013
done1013

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.4s24542×body80nan
675.0ms8000×body80valid