Details

Time bar (total: 1.9s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
162

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite8.0ms

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:
7.0ms
(+ x (/ 1.0 3.0))

series2.0ms

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

simplify222.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune25.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
1.3b
(exp (log (+ x (/ 1.0 3.0))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
8×log-prod
6×add-sqr-sqrt add-cube-cbrt
5×pow1 add-log-exp
4×add-exp-log log-div exp-prod exp-sum
3×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×exp-diff log-pow
1×+-commutative rem-log-exp sum-log rem-exp-log
Counts
3 → 45
Calls
3 calls:
6.0ms
(log (+ x (/ 1.0 3.0)))
5.0ms
(+ x (/ 1.0 3.0))
7.0ms
(exp (log (+ x (/ 1.0 3.0))))

series7.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0189262
1526239
21667230
35002221

prune88.0ms

Filtered
36 candidates to 54 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New52254
Fresh101
Picked101
Done011
Total54357

Merged error: 0b

Counts
57 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
1.4b
(pow E (log (+ x (/ 1.0 3.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
8×log-prod
7×add-sqr-sqrt add-cube-cbrt
6×pow1
5×add-exp-log add-log-exp
4×unpow-prod-up log-div pow-unpow
3×unpow-prod-down flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×pow-exp log-pow pow-sub
1×+-commutative pow-to-exp e-exp-1 pow-pow rem-log-exp sum-log sqr-pow
Counts
3 → 52
Calls
3 calls:
11.0ms
(log (+ x (/ 1.0 3.0)))
11.0ms
(+ x (/ 1.0 3.0))
14.0ms
(pow E (log (+ x (/ 1.0 3.0))))

series33.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(log (+ x (/ 1.0 3.0)))
4.0ms
(+ x (/ 1.0 3.0))
24.0ms
(pow E (log (+ x (/ 1.0 3.0))))

simplify180.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (172.0ms)

IterNodesCost
0322401
11081355
24386322
35001310

prune121.0ms

Filtered
40 candidates to 61 candidates (-52.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done011
Total61364

Merged error: 0b

Counts
64 → 3

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (/ 1.0 3.0) 3)
1.3b
(exp (- (log (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))))
9.0b
(log (+ (pow x 3) (pow (/ 1.0 3.0) 3)))
16.5b
(log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
25×add-sqr-sqrt
23×add-cube-cbrt
21×unpow-prod-down log-prod cube-prod
18×times-frac
13×exp-sum
11×pow1
10×distribute-lft-out
9×add-exp-log associate--l+
8×exp-prod
7×add-cbrt-cube
6×log-div log-pow
5×add-log-exp
4×distribute-lft-out--
3×pow-unpow flip3-+ flip-+
2×rem-log-exp pow-exp sum-cubes div-inv rem-exp-log associate--r- rem-cube-cbrt
1×cbrt-undiv cube-div cube-mult pow-to-exp sub-neg pow-pow exp-diff diff-log unpow3 div-exp difference-of-squares sqr-pow
Counts
4 → 111
Calls
4 calls:
7.0ms
(pow (/ 1.0 3.0) 3)
26.0ms
(exp (- (log (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))))
22.0ms
(log (+ (pow x 3) (pow (/ 1.0 3.0) 3)))
14.0ms
(log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series52.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(pow (/ 1.0 3.0) 3)
17.0ms
(exp (- (log (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))))
27.0ms
(log (+ (pow x 3) (pow (/ 1.0 3.0) 3)))
7.0ms
(log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
06951290
128821122
250031087

prune375.0ms

Filtered
75 candidates to 121 candidates (-61.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done022
Total1213124

Merged error: 0b

Counts
124 → 3

regimes98.0ms

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

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample265.0ms

Algorithm
intervals
Results
161.0ms8000×body80valid

Profiling

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