Details

Time bar (total: 3.1s)

sample65.0ms

Algorithm
intervals
Results
33.0ms775×body80nan
15.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 0.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
21×times-frac
14×add-sqr-sqrt add-cube-cbrt
13×fma-def
8×log-prod distribute-lft-out
5×div-inv
4×add-log-exp
3×pow1 add-exp-log log-div
2×expm1-log1p-u distribute-rgt-out flip3-+ frac-add add-cbrt-cube flip-+ log1p-expm1-u
1×+-commutative rem-log-exp sum-log log-pow
Counts
2 → 54
Calls
2 calls:
21.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
17.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series380.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
279.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0340521
11168477
25001470

prune135.0ms

Filtered
60 candidates to 53 candidates (88.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh000
Picked011
Done000
Total59261

Merged error: 0b

Counts
61 → 2

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×log-prod
16×*-un-lft-identity
13×associate-+l+
10×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×pow1 log-pow
6×fma-def
5×distribute-lft-out
4×associate-+r+
3×log-div
2×associate-+r- flip3-+ flip-+
1×add-exp-log +-commutative expm1-log1p-u associate-+l- pow-flip sum-log add-cbrt-cube log1p-expm1-u div-inv inv-pow add-log-exp
Counts
1 → 43
Calls
1 calls:
11.0ms
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

series261.0ms

Counts
1 → 3
Calls
1 calls:
261.0ms
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify130.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0325442
11023392
24977381
35001381

prune108.0ms

Filtered
46 candidates to 39 candidates (84.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done011
Total46248

Merged error: 0b

Counts
48 → 2

regimes44.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.0s24316×body80nan
400.0ms8000×body80valid