Details

Time bar (total: 3.8s)

sample48.0ms

Algorithm
intervals
Results
23.0ms863×body80nan
9.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0913
11213
21613
done1613

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×add-sqr-sqrt
27×times-frac
22×add-cube-cbrt
20×sqrt-prod
associate-/l*
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
pow1 sqrt-div distribute-lft-out
associate-/r* div-inv
flip3-- flip-- associate-/l/
cbrt-undiv +-commutative rem-sqrt-square distribute-rgt-out frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add clear-num sum-log flip-+
Counts
3 → 78
Calls
3 calls:
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
26.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
3.0ms
(sqrt (- 1.0 (* x x)))

series296.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(/ (sqrt (- 1.0 (* x x))) x)
102.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
62.0ms
(sqrt (- 1.0 (* x x)))

simplify1.8s

Counts
87 → 87
Iterations

Useful iterations: 3 (964.0ms)

IterNodesCost
01751379
13921272
210901200
340861185
done50001185

prune223.0ms

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

sample1.3s

Algorithm
intervals
Results
687.0ms24577×body80nan
283.0ms8000×body80valid