Details

Time bar (total: 1.5s)

sample10.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

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))

simplify107.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune26.0ms

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

rewrite36.0ms

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))
6.0ms
(+ x (/ 1.0 3.0))
15.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series13.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0256585
1993536
25002520

prune134.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh011
Picked101
Done011
Total1134117

Merged error: 0.0b

Counts
117 → 4

localize9.0ms

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
(* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
0.2b
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
121×sqrt-prod
74×add-sqr-sqrt
39×*-un-lft-identity
36×sqrt-div
29×unpow-prod-down cube-prod
26×associate-*l*
25×add-cube-cbrt
24×unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log associate-*r*
9×flip3-+ flip-+
8×cube-div
7×add-cbrt-cube distribute-lft-out
6×pow1/2
5×pow-pow sqr-pow
4×frac-times rem-sqrt-square add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 170
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
24.0ms
(* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
9.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
2.0ms
(* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
12.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

simplify78.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05251741
122391494
250011321

prune441.0ms

Filtered
87 candidates to 182 candidates (-109.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1811182
Fresh112
Picked101
Done011
Total1833186

Merged error: 0b

Counts
186 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(* (sqrt (+ x (/ 1.0 3.0))) (log (exp (sqrt (+ x (/ 1.0 3.0))))))
0.3b
(log (exp (sqrt (+ x (/ 1.0 3.0)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
18×add-sqr-sqrt
16×log-pow
14×add-cube-cbrt exp-prod
13×sqrt-prod
11×associate-*r*
9×log-prod
8×pow1 add-log-exp
7×associate-*l*
6×add-exp-log add-cbrt-cube
5×distribute-lft-out
3×distribute-rgt-in distribute-lft-in flip3-+ flip-+
2×+-commutative sqrt-div associate-*l/ sum-log unswap-sqr
1×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 82
Calls
4 calls:
5.0ms
(+ x (/ 1.0 3.0))
5.0ms
(+ x (/ 1.0 3.0))
17.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (log (exp (sqrt (+ x (/ 1.0 3.0))))))
7.0ms
(log (exp (sqrt (+ x (/ 1.0 3.0)))))

series11.0ms

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

simplify77.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0271570
1843494
23211467
35002467

prune145.0ms

Filtered
65 candidates to 94 candidates (-44.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done011
Total94397

Merged error: 0b

Counts
97 → 3

regimes57.0ms

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
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
128.0ms8000×body80valid

Profiling

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