Details

Time bar (total: 2.7s)

sample66.0ms

Algorithm
intervals
Results
35.0ms785×body80nan
13.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune3.0ms

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 4 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))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×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:
3.0ms
(sqrt (- 1.0 (* x x)))
18.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
21.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series30.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
13.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
7.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05121016
11817965
25001961

prune195.0ms

Filtered
88 candidates to 110 candidates (-25.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done000
Total1092111

Merged error: 0b

Counts
111 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
0.2b
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod *-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt associate-+l+
9×pow1 times-frac
6×distribute-lft-out
5×log-div log-pow
4×add-exp-log associate-+r+ sqrt-prod
3×flip3-+ add-cbrt-cube flip-+ add-log-exp
2×associate-+r- sqrt-div
1×+-commutative associate-+l- rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log flip-- div-inv difference-of-squares
Counts
3 → 66
Calls
3 calls:
2.0ms
(sqrt (- 1.0 (* x x)))
5.0ms
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
11.0ms
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

series28.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
8.0ms
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
15.0ms
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify42.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0469745
11524688
25001673

prune156.0ms

Filtered
63 candidates to 75 candidates (-19.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh000
Picked011
Done011
Total75277

Merged error: 0b

Counts
77 → 2

regimes95.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s24313×body80nan
403.0ms8000×body80valid

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