Details

Time bar (total: 1.8s)

sample51.0ms

Algorithm
intervals
Results
26.0ms799×body80nan
9.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

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))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
15×times-frac
14×add-sqr-sqrt
13×fma-def
12×add-cube-cbrt
sqrt-prod distribute-lft-out add-log-exp
pow1 div-inv
add-exp-log expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u
+-commutative rem-sqrt-square distribute-rgt-out flip3-- sqrt-pow1 flip3-+ pow1/2 frac-add sum-log flip-- flip-+ difference-of-squares
Counts
2 → 50
Calls
2 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
26.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series164.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(sqrt (- 1.0 (* x x)))
107.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify33.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0313334
11038316
25001313

prune181.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.4s

Algorithm
intervals
Results
691.0ms24293×body80nan
293.0ms8000×body80valid