Details

Time bar (total: 3.5s)

sample46.0ms

Algorithm
intervals
Results
22.0ms736×body80nan
9.0ms256×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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
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
25×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt
9×add-cube-cbrt
8×log-prod distribute-lft-out
5×pow1 add-log-exp
4×add-exp-log sqrt-prod div-inv
3×log-div add-cbrt-cube
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 → 53
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
17.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
18.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series460.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sqrt (- 1.0 (* x x)))
102.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
296.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0421620
11463576
25001565

prune141.0ms

Filtered
62 candidates to 52 candidates (83.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh000
Picked011
Done000
Total61263

Merged error: 0b

Counts
63 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
104×*-un-lft-identity
93×add-sqr-sqrt sqrt-prod
82×add-cube-cbrt
35×log-prod
22×associate-+l+
18×associate-/r*
13×associate-+r+ distribute-lft-out associate-/l*
12×add-exp-log
10×pow1 add-cbrt-cube
7×difference-of-squares
6×div-inv
4×log-div div-exp log-pow add-log-exp
3×cbrt-undiv associate-+r- pow-flip frac-2neg clear-num
2×flip3-+ sqrt-div flip-+ associate-/l/
1×+-commutative associate-+l- rec-exp sqrt-undiv distribute-rgt-out flip3-- sqrt-pow1 pow1/2 1-exp frac-add sum-log flip-- inv-pow
Counts
4 → 208
Calls
4 calls:
7.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
4.0ms
(/ 1 (sqrt x))
4.0ms
(/ 1.0 (sqrt x))
53.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))

series696.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
31.0ms
(/ 1 (sqrt x))
38.0ms
(/ 1.0 (sqrt x))
562.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07872108
130091900
250021856

prune445.0ms

Filtered
220 candidates to 136 candidates (61.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2200220
Fresh000
Picked011
Done011
Total2202222

Merged error: 0b

Counts
222 → 2

regimes47.0ms

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
01813
11813

end0.0ms

sample1.4s

Algorithm
intervals
Results
711.0ms23732×body80nan
292.0ms8000×body80valid