Details

Time bar (total: 2.3s)

sample64.0ms

Algorithm
intervals
Results
36.0ms783×body80nan
13.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
add-sqr-sqrt
times-frac
add-cube-cbrt
sqrt-prod distribute-lft-out add-log-exp
pow1
add-exp-log sqrt-div add-cbrt-cube div-inv
+-commutative rem-sqrt-square distribute-rgt-out flip3-- sqrt-pow1 flip3-+ pow1/2 frac-add sum-log flip-- flip-+ difference-of-squares
Counts
2 → 33
Calls
2 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
18.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series159.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(sqrt (- 1.0 (* x x)))
103.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify146.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0295317
1965300
24825296
35002296

prune91.0ms

Filtered
39 candidates to 35 candidates (89.7%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New39039
Fresh000
Picked011
Done000
Total39140

Merged error: 0b

Counts
40 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s24830×body80nan
402.0ms8000×body80valid

Profiling

Loading profile data...