Details

Time bar (total: 1.2s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
155

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (fabs (- x y)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
Counts
1 → 13
Calls
1 calls:
1.0ms
(sqrt (fabs (- x y)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(sqrt (fabs (- x y)))

simplify100.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
0472296
1472296

prune19.0ms

Filtered
10 candidates to 16 candidates (-60.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.2b
(sqrt (sqrt (fabs (- x y))))
0.2b
(sqrt (sqrt (fabs (- x y))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
56×add-sqr-sqrt
41×sqrt-pow1
32×pow1
21×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
2.0ms
(sqrt (sqrt (fabs (- x y))))
2.0ms
(sqrt (sqrt (fabs (- x y))))
12.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (fabs (- x y)))
11.0ms
(sqrt (sqrt (fabs (- x y))))
11.0ms
(sqrt (sqrt (fabs (- x y))))
4.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04941906
14941906

prune69.0ms

Filtered
57 candidates to 138 candidates (-142.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1362138
Fresh101
Picked011
Done011
Total1374141

Merged error: 0b

Counts
141 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.3b
(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
0.5b
(cbrt (sqrt (fabs (- x y))))
0.6b
(cbrt (fabs (- x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×cbrt-prod
13×add-cube-cbrt *-un-lft-identity
11×sqrt-prod
9×associate-*r*
7×pow1
6×add-exp-log associate-*l* unswap-sqr
4×pow1/3 add-cbrt-cube add-log-exp
2×pow-prod-down
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
8.0ms
(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
1.0ms
(cbrt (sqrt (fabs (- x y))))
1.0ms
(cbrt (fabs (- x y)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (fabs (- x y)))
4.0ms
(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
11.0ms
(cbrt (sqrt (fabs (- x y))))
11.0ms
(cbrt (fabs (- x y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05161736

prune61.0ms

Filtered
56 candidates to 84 candidates (-50.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done022
Total84488

Merged error: 0b

Counts
88 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (sqrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (sqrt (sqrt (fabs (- x y)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
90×sqrt-prod
71×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
18×swap-sqr
16×unswap-sqr
12×associate-*r* associate-*l*
11×pow1
9×pow1/3
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 121
Calls
4 calls:
9.0ms
(* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))
1.0ms
(cbrt (fabs (- x y)))
2.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
2.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))
11.0ms
(cbrt (fabs (- x y)))
11.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
13.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051091843

prune72.0ms

Filtered
67 candidates to 133 candidates (-98.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done033
Total1334137

Merged error: 0b

Counts
137 → 4

regimes209.0ms

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
055
155

end0.0ms

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1

sample282.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid

Profiling

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