Details

Time bar (total: 5.0s)

sample97.0ms

Algorithm
intervals
Results
58.0ms766×body80nan
23.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
8×add-sqr-sqrt log-prod
6×add-cube-cbrt times-frac
4×pow1 sqrt-prod distribute-lft-out
3×add-exp-log log-div
2×sqrt-div add-cbrt-cube div-inv add-log-exp
1×rem-sqrt-square distribute-rgt-out flip3-- sqrt-pow1 flip3-+ pow1/2 rem-log-exp frac-add log-pow flip-- flip-+ difference-of-squares
Counts
2 → 36
Calls
2 calls:
22.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
3.0ms
(sqrt (- 1.0 (* x x)))

series546.0ms

Counts
2 → 6
Calls
2 calls:
483.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
63.0ms
(sqrt (- 1.0 (* x x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0356427
11217397
25002388

prune111.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
0.2b
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.3b
(/ 1 (sqrt x))
0.3b
(/ 1.0 (sqrt x))

rewrite83.0ms

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:
61.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
7.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
3.0ms
(/ 1 (sqrt x))
3.0ms
(/ 1.0 (sqrt x))

series491.0ms

Counts
4 → 12
Calls
4 calls:
354.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
67.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
27.0ms
(/ 1 (sqrt x))
43.0ms
(/ 1.0 (sqrt x))

simplify79.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
07872109
130091900
250011856

prune517.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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

sample3.0s

Algorithm
intervals
Results
1.8s23759×body80nan
744.0ms8000×body80valid