Details

Time bar (total: 3.0s)

sample65.0ms

Algorithm
intervals
Results
33.0ms775×body80nan
15.0ms256×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: 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)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
12×times-frac
8×log-prod distribute-lft-out
7×add-sqr-sqrt add-cube-cbrt
4×div-inv add-log-exp
3×pow1 add-exp-log log-div
2×distribute-rgt-out flip3-+ frac-add add-cbrt-cube flip-+
1×+-commutative rem-log-exp sum-log log-pow
Counts
2 → 37
Calls
2 calls:
19.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
19.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series374.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
276.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify35.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0326496
11103455
25001447

prune95.0ms

Filtered
43 candidates to 36 candidates (83.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh000
Picked011
Done000
Total42244

Merged error: 0b

Counts
44 → 2

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×log-prod
15×*-un-lft-identity
13×associate-+l+
9×add-sqr-sqrt add-cube-cbrt times-frac
5×pow1 distribute-lft-out
4×associate-+r+ log-pow
3×log-div
2×associate-+r- flip3-+ flip-+
1×add-exp-log +-commutative associate-+l- sum-log add-cbrt-cube div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
11.0ms
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

series269.0ms

Counts
1 → 3
Calls
1 calls:
269.0ms
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify133.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0317425
1975377
24692367
35001355

prune88.0ms

Filtered
38 candidates to 32 candidates (84.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done011
Total38240

Merged error: 0b

Counts
40 → 2

regimes45.0ms

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

sample1.8s

Algorithm
intervals
Results
1.0s24316×body80nan
391.0ms8000×body80valid