Details

Time bar (total: 4.0s)

sample61.0ms

Algorithm
intervals
Results
32.0ms766×body80nan
12.0ms256×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: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
21×times-frac
18×add-sqr-sqrt
16×add-cube-cbrt
13×fma-def
8×log-prod distribute-lft-out
5×pow1 div-inv add-log-exp
4×add-exp-log sqrt-prod
3×expm1-log1p-u log-div add-cbrt-cube log1p-expm1-u
2×distribute-rgt-out flip3-+ sqrt-div frac-add flip-+
1×+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow flip-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
18.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
22.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series445.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sqrt (- 1.0 (* x x)))
285.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
100.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0443652
11562605
25001594

prune182.0ms

Filtered
81 candidates to 71 candidates (87.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh000
Picked011
Done000
Total80282

Merged error: 0b

Counts
82 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b
(log (expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
5.5b
(expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt times-frac
13×fma-def
6×pow1 add-log-exp
5×add-exp-log
4×expm1-log1p-u sqrt-prod add-cbrt-cube log1p-expm1-u distribute-lft-out
3×log-prod div-inv
2×sqrt-div
1×+-commutative rem-sqrt-square expm1-log1p distribute-rgt-out flip3-- sqrt-pow1 flip3-+ pow1/2 rem-log-exp frac-add sum-log log-pow flip-- flip-+ expm1-udef difference-of-squares
Counts
4 → 75
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
19.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
1.0ms
(log (expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
1.0ms
(expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series1.0s

Counts
4 → 12
Calls
4 calls:
62.0ms
(sqrt (- 1.0 (* x x)))
102.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
575.0ms
(log (expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
263.0ms
(expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify56.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0534775
12007709
25001697

prune249.0ms

Filtered
87 candidates to 79 candidates (90.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done011
Total87289

Merged error: 0b

Counts
89 → 2

regimes47.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s24206×body80nan
387.0ms8000×body80valid

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