Details

Time bar (total: 2.8s)

sample69.0ms

Algorithm
intervals
Results
41.0ms850×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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
log-prod distribute-lft-out
add-exp-log associate-/l*
pow1 add-cbrt-cube add-log-exp
div-inv difference-of-squares
sqrt-div
log-div associate-/r*
distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 98
Calls
4 calls:
17.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
2.0ms
(sqrt (- 1.0 (* x x)))
5.0ms
(/ (sqrt (- 1.0 (* x x))) x)
17.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series573.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
60.0ms
(sqrt (- 1.0 (* x x)))
123.0ms
(/ (sqrt (- 1.0 (* x x))) x)
103.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05121016
11814965
25001961

prune222.0ms

Filtered
110 candidates to 88 candidates (80.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done000
Total1101111

Merged error: 0b

Counts
111 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s23834×body80nan
424.0ms8000×body80valid

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