Details

Time bar (total: 2.1s)

sample40.0ms

Algorithm
intervals
Results
11.0ms223×body160nan
9.0ms429×body80nan
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
0.0b
(- (* x x) 1.0)
30.2b
(sqrt (- (* x x) 1.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
*-un-lft-identity
pow1 add-cube-cbrt sqrt-prod
add-exp-log add-cbrt-cube
flip3-- sqrt-div flip-- difference-of-squares
+-commutative sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log sum-log flip-+ distribute-lft-out
Counts
3 → 41
Calls
3 calls:
9.0ms
(+ x (sqrt (- (* x x) 1.0)))
3.0ms
(- (* x x) 1.0)
5.0ms
(sqrt (- (* x x) 1.0))

series160.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ x (sqrt (- (* x x) 1.0)))
38.0ms
(- (* x x) 1.0)
54.0ms
(sqrt (- (* x x) 1.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0228284
1702267
22784261
35001260

prune114.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))
0.4b
(/ 1 (pow x 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod associate-/r*
11×add-exp-log
div-exp
cube-mult unpow3 associate-*r/ frac-add un-div-inv add-cbrt-cube add-log-exp sqr-pow
pow-to-exp rec-exp 1-exp pow-exp associate-/l*
pow1
cbrt-undiv +-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ div-inv inv-pow
Counts
2 → 88
Calls
2 calls:
4.0ms
(+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))
5.0ms
(/ 1 (pow x 3))

series115.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))
31.0ms
(/ 1 (pow x 3))

simplify46.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0287463
11424361
25001354

prune115.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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
0219
1219

end0.0ms

sample1.3s

Algorithm
intervals
Results
375.0ms7819×body160nan
341.0ms16094×body80nan
234.0ms8000×body80valid