Details

Time bar (total: 1.7s)

sample9.0ms

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))

series24.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(+ x (/ 1.0 3.0))

simplify126.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune24.0ms

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

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

series84.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ x (/ 1.0 3.0)))
16.0ms
(+ x (/ 1.0 3.0))
21.0ms
(+ x (/ 1.0 3.0))
18.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify37.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0224573
1883518
25001502

prune133.0ms

Filtered
114 candidates to 61 candidates (53.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh101
Picked011
Done011
Total1143117

Merged error: 0b

Counts
117 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
232×sqrt-div
178×cbrt-div
140×frac-times
116×flip3-+ flip-+
62×cbrt-prod
52×associate-*r/
46×associate-*l/
44×add-sqr-sqrt
42×*-un-lft-identity
40×sqrt-prod
23×add-cube-cbrt
22×pow1
17×associate-*l*
15×add-exp-log swap-sqr
14×pow1/3
11×associate-*r*
9×add-cbrt-cube distribute-lft-out unswap-sqr
8×pow-prod-down
7×prod-exp pow-prod-up cbrt-unprod
4×add-log-exp
3×pow-sqr
2×*-commutative
1×pow2 pow-plus
Counts
4 → 211
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
16.0ms
(* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
40.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (+ x (/ 1.0 3.0))))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
90.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
89.0ms
(* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
20.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (+ x (/ 1.0 3.0))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
08745080
126714888
250024537

prune439.0ms

Filtered
223 candidates to 117 candidates (52.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2230223
Fresh000
Picked011
Done022
Total2233226

Merged error: 0b

Counts
226 → 3

regimes22.0ms

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

sample222.0ms

Algorithm
intervals
Results
132.0ms8000×body80valid

Profiling

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