Details

Time bar (total: 2.8s)

sample291.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 45.410156%

Guaranteed chance to sample good point: 88.729875%

Results
11.0ms256×body80valid
1.0ms26×body80nan

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2234
3414
4644
5744
6864
71124
81904
92534
103584
113604
123614
133614

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* x (log (/ x y)))
14.6b
(log (/ x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
39×log-prod
27×add-sqr-sqrt times-frac
25×add-cube-cbrt *-un-lft-identity
13×distribute-rgt-in distribute-lft-in
7×add-exp-log
6×pow1
4×associate-*r* add-cbrt-cube
3×associate-*l* div-inv
2×rem-log-exp log-pow add-log-exp
1×log-div div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 69
Calls
2 calls:
6.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* x (log (/ x y)))
7.0ms
(log (/ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0230488
1850435
22880417
35001413

prune91.0ms

Filtered
45 candidates to 75 candidates (-66.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New68775
Fresh000
Picked011
Done000
Total68876

Merged error: 0.0b

Counts
76 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series85.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
21.0ms
(cbrt x)
20.0ms
(cbrt y)
23.0ms
(cbrt y)

simplify166.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (32.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune84.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh066
Picked011
Done011
Total56864

Merged error: 0.0b

Counts
64 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series85.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify166.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (32.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune81.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done022
Total56864

Merged error: 0.0b

Counts
64 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (log (/ x y))) (cbrt (log (/ x y))))
14.6b
(log (/ x y))
14.6b
(log (/ x y))
14.6b
(log (/ x y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×log-prod
35×*-un-lft-identity
33×add-cube-cbrt
27×times-frac
24×cbrt-prod
20×pow1
15×add-exp-log
9×swap-sqr log-pow
7×associate-*r* associate-*l*
6×pow1/3 rem-log-exp
4×add-cbrt-cube add-log-exp unswap-sqr
3×log-div div-exp div-inv
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (cbrt (log (/ x y))) (cbrt (log (/ x y))))
3.0ms
(log (/ x y))
2.0ms
(log (/ x y))
2.0ms
(log (/ x y))

series45.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (log (/ x y))) (cbrt (log (/ x y))))
7.0ms
(log (/ x y))
7.0ms
(log (/ x y))
7.0ms
(log (/ x y))

simplify103.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0224828
1712743
23455667
35001660

prune116.0ms

Filtered
87 candidates to 129 candidates (-48.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1290129
Fresh044
Picked011
Done033
Total1298137

Merged error: 0.0b

Counts
137 → 8

regimes323.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
11713

end0.0ms

sample956.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 45.410156%

Guaranteed chance to sample good point: 88.729875%

Results
368.0ms8029×body80valid
27.0ms755×body80nan

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