Details

Time bar (total: 1.4s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune2.0ms

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

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(+ x (/ 1.0 3.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune24.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
5.0ms
(sqrt (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
5.0ms
(+ x (/ 1.0 3.0))
19.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series10.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ x (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify42.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0256585
1993536
25002520

prune138.0ms

Filtered
62 candidates to 114 candidates (-83.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh011
Picked101
Done011
Total1143117

Merged error: 0b

Counts
117 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.0b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.1b
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
112×sqrt-prod
91×sqrt-pow1
69×pow1
60×add-sqr-sqrt
47×pow1/2
42×*-un-lft-identity
39×pow-prod-up
35×flip3-+ flip-+
32×frac-times
22×add-cube-cbrt
20×swap-sqr
17×associate-*l*
16×associate-*r/
12×pow-prod-down
11×add-exp-log associate-*r* pow-sqr add-cbrt-cube unswap-sqr
10×associate-*l/
9×distribute-lft-out
4×rem-sqrt-square prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 205
Calls
4 calls:
11.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
10.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
19.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
30.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
9.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
5.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
4.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06171884
123081644
250021628

prune319.0ms

Filtered
102 candidates to 217 candidates (-112.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2170217
Fresh011
Picked011
Done011
Total2173220

Merged error: 0b

Counts
220 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(exp (+ x (/ 1.0 3.0)))
0.8b
(log (exp (+ x (/ 1.0 3.0))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
8×exp-prod add-log-exp
6×add-sqr-sqrt add-cube-cbrt
5×log-pow
4×pow1 log-prod
3×add-exp-log add-cbrt-cube distribute-lft-out
2×exp-sum sum-log rem-exp-log
1×+-commutative flip3-+ rem-log-exp flip-+
Counts
3 → 43
Calls
3 calls:
5.0ms
(+ x (/ 1.0 3.0))
6.0ms
(exp (+ x (/ 1.0 3.0)))
6.0ms
(log (exp (+ x (/ 1.0 3.0))))

series6.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(exp (+ x (/ 1.0 3.0)))
2.0ms
(log (exp (+ x (/ 1.0 3.0))))

simplify88.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0136194
1432172
21093170
33091170
45001170

prune63.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done022
Total52355

Merged error: 0b

Counts
55 → 3

regimes58.0ms

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

sample250.0ms

Algorithm
intervals
Results
132.0ms8000×body80valid

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