Details

Time bar (total: 5.1s)

sample102.0ms

Algorithm
intervals
Results
59.0ms766×body80nan
27.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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×expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u 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 → 40
Calls
2 calls:
21.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
3.0ms
(sqrt (- 1.0 (* x x)))

series350.0ms

Counts
2 → 6
Calls
2 calls:
290.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
60.0ms
(sqrt (- 1.0 (* x x)))

simplify37.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0372449
11292417
25002407

prune119.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
105×*-un-lft-identity
94×add-sqr-sqrt
93×sqrt-prod
83×add-cube-cbrt
35×log-prod
22×associate-+l+
18×associate-/r*
13×pow1 associate-+r+ distribute-lft-out associate-/l*
12×add-exp-log
10×add-cbrt-cube
9×log-pow
8×fma-def
7×difference-of-squares
6×pow-flip div-inv
4×expm1-log1p-u log-div div-exp log1p-expm1-u add-log-exp
3×cbrt-undiv associate-+r- frac-2neg clear-num
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div flip-+ associate-/l/ inv-pow
1×+-commutative associate-+l- rec-exp sqrt-undiv distribute-rgt-out flip3-- 1-exp frac-add sum-log flip--
Counts
4 → 224
Calls
4 calls:
64.0ms
(+ (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))

series667.0ms

Counts
4 → 12
Calls
4 calls:
533.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
69.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
26.0ms
(/ 1 (sqrt x))
38.0ms
(/ 1.0 (sqrt x))

simplify76.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
08202157
131241950
250021893

prune551.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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
1.9s23759×body80nan
758.0ms8000×body80valid