Details

Time bar (total: 1.6s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune1.0ms

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: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
6.0ms
(- x (/ 1.0 3.0))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(- x (/ 1.0 3.0))

simplify104.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune26.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
12.7b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
6×distribute-lft-out difference-of-squares
5×add-exp-log add-cbrt-cube
4×associate-/r* associate-/l*
3×pow1
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 66
Calls
3 calls:
6.0ms
(+ x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
11.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ x (/ 1.0 3.0))
46.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
88.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0277693
11280635
25002624

prune111.0ms

Filtered
75 candidates to 56 candidates (74.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh000
Picked101
Done011
Total75277

Merged error: 0b

Counts
77 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(sqrt (+ x (/ 1.0 3.0)))
2.4b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
4.7b
(/ (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
490×times-frac
370×*-un-lft-identity
296×sqrt-prod
224×add-sqr-sqrt
222×add-cube-cbrt
74×distribute-lft-out
64×difference-of-squares
38×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- flip--
Counts
4 → 385
Calls
4 calls:
6.0ms
(sqrt (+ x (/ 1.0 3.0)))
6.0ms
(sqrt (+ x (/ 1.0 3.0)))
13.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
25.0ms
(/ (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (+ x (/ 1.0 3.0)))
39.0ms
(sqrt (+ x (/ 1.0 3.0)))
108.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
93.0ms
(/ (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))

simplify140.0ms

Algorithm
egg-herbie
Counts
397 → 397
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
09578235
141047513
250017506

prune419.0ms

Filtered
397 candidates to 169 candidates (42.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3970397
Fresh000
Picked011
Done011
Total3972399

Merged error: 0b

Counts
399 → 2

regimes22.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052

end0.0ms

sample187.0ms

Algorithm
intervals
Results
104.0ms8000×body80valid