Details

Time bar (total: 1.4s)

sample20.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.996948%

Results
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite9.0ms

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:
9.0ms
(+ x (/ 1.0 3.0))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+ x (/ 1.0 3.0))

simplify160.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune23.0ms

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

localize5.0ms

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))))

rewrite34.0ms

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)))
5.0ms
(+ x (/ 1.0 3.0))
5.0ms
(+ x (/ 1.0 3.0))
15.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series10.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(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))))

simplify39.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0256585
1993536
25002520

prune117.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done011
Total1143117

Merged error: 0.0b

Counts
117 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
1.5b
(exp (log (+ x (/ 1.0 3.0))))

rewrite18.0ms

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:
5.0ms
(log (+ x (/ 1.0 3.0)))
5.0ms
(+ x (/ 1.0 3.0))
6.0ms
(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))))

simplify44.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0189262
1526239
21667230
35002221

prune66.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh000
Picked101
Done022
Total54357

Merged error: 0b

Counts
57 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (/ 1.0 3.0) 3)
1.5b
(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)))))))
10.9b
(log (+ (pow x 3) (pow (/ 1.0 3.0) 3)))
15.1b
(log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite61.0ms

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:
4.0ms
(pow (/ 1.0 3.0) 3)
23.0ms
(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)))
8.0ms
(log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series36.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(pow (/ 1.0 3.0) 3)
18.0ms
(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)))))))
13.0ms
(log (+ (pow x 3) (pow (/ 1.0 3.0) 3)))
4.0ms
(log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify82.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06951290
128821122
250031087

prune289.0ms

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

regimes54.0ms

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

sample259.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.996948%

Results
134.0ms8000×body80valid

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