Details

Time bar (total: 2.7s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

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
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ 1.0 3.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune21.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.8b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
15.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (+ x (/ 1.0 3.0)))
87.0ms
(cbrt (+ x (/ 1.0 3.0)))
86.0ms
(cbrt (+ x (/ 1.0 3.0)))
103.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

simplify153.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0338995
11139936
24901841
35001841

prune185.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh000
Picked011
Done011
Total1063109

Merged error: 0b

Counts
109 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

11.3b
(/ (* (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- x (/ 1.0 3.0)))))
14.7b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
14.7b
(cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
19.1b
(cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
17×*-un-lft-identity
16×add-exp-log cbrt-prod
8×frac-times flip3-+ associate-/r/ add-cbrt-cube flip-+ associate-/l/
7×add-sqr-sqrt add-cube-cbrt flip3-- flip--
5×distribute-lft-out
4×pow1 cbrt-undiv unpow-prod-down cube-prod associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* sum-cubes div-inv associate-/l* difference-of-squares
Counts
4 → 83
Calls
4 calls:
44.0ms
(/ (* (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- x (/ 1.0 3.0)))))
6.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
8.0ms
(cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
20.0ms
(cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))

series914.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(/ (* (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- x (/ 1.0 3.0)))))
213.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
117.0ms
(cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
373.0ms
(cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))

simplify87.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08021973
132211723
250021708

prune420.0ms

Filtered
95 candidates to 78 candidates (82.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done022
Total95398

Merged error: 0b

Counts
98 → 3

regimes31.0ms

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
062
162

end0.0ms

sample214.0ms

Algorithm
intervals
Results
132.0ms8000×body80valid