Details

Time bar (total: 2.4s)

sample13.0ms

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))

rewrite5.0ms

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:
5.0ms
(+ x (/ 1.0 3.0))

series17.0ms

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

simplify121.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune20.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

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)))
0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

rewrite39.0ms

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:
7.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
19.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

series381.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (+ x (/ 1.0 3.0)))
97.0ms
(cbrt (+ x (/ 1.0 3.0)))
87.0ms
(cbrt (+ x (/ 1.0 3.0)))
106.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

simplify166.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0338995
11139936
24913841
35001841

prune190.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh101
Picked011
Done011
Total1073110

Merged error: 0b

Counts
110 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
9.0b
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))))
15.6b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
15.6b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×cbrt-prod cbrt-div
28×*-un-lft-identity
20×flip3-- flip--
18×add-exp-log
14×add-cube-cbrt
12×frac-times
11×pow1 swap-sqr
10×difference-of-squares
9×associate-*r* associate-*l*
8×pow1/3 associate-/r/ add-cbrt-cube associate-/l/
6×associate-*r/ associate-*l/ distribute-lft-out--
5×times-frac prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 124
Calls
4 calls:
15.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
30.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))))
3.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
3.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series654.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
174.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))))
182.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
182.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify81.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06382038
127161765
250011692

prune362.0ms

Filtered
136 candidates to 99 candidates (72.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0b

Counts
139 → 3

regimes28.0ms

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

sample213.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid

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