Details

Time bar (total: 2.8s)

sample65.0ms

Algorithm
intervals
Results
33.0ms787×body80nan
13.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0127
1167
2187
3187

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 3 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
42×times-frac
35×add-sqr-sqrt
31×add-cube-cbrt
16×sqrt-prod
13×fma-def
log-prod distribute-lft-out
associate-/l*
add-exp-log div-inv
add-cbrt-cube add-log-exp
pow1 difference-of-squares
expm1-log1p-u log-div associate-/r* log1p-expm1-u
distribute-rgt-out flip3-+ sqrt-div frac-add flip-+ associate-/l/
cbrt-undiv +-commutative flip3-- frac-2neg div-exp rem-log-exp clear-num sum-log log-pow flip--
Counts
3 → 101
Calls
3 calls:
19.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
9.0ms
(/ (sqrt (- 1.0 (* x x))) x)
20.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series526.0ms

Counts
3 → 9
Calls
3 calls:
292.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
133.0ms
(/ (sqrt (- 1.0 (* x x))) x)
101.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify50.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0479926
11679875
25001867

prune234.0ms

Filtered
110 candidates to 91 candidates (82.7%)
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
1.0s24014×body80nan
395.0ms8000×body80valid

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