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

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0695
1695

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
(sqrt (fabs (- x y)))

rewrite2.0ms

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)))

simplify109.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
0478496
1478496

prune24.0ms

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)))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite17.0ms

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))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series31.0ms

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))))
5.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04912906
14912906

prune74.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1362138
Fresh101
Picked101
Done011
Total1383141

Merged error: 0b

Counts
141 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))))
0.4b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (cbrt (fabs (- x y))))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
27×add-sqr-sqrt
18×associate-*r*
16×pow1
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
10×associate-*l* pow-prod-down
9×cbrt-prod
6×unswap-sqr
5×sqrt-pow1 pow1/2
4×prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×pow1/3 *-commutative
Counts
4 → 87
Calls
4 calls:
11.0ms
(* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))))
7.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (cbrt (fabs (- x y))))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))))
22.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (cbrt (fabs (- x y))))))
11.0ms
(cbrt (fabs (- x y)))
11.0ms
(cbrt (fabs (- x y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
052801528

prune83.0ms

Filtered
63 candidates to 99 candidates (-57.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done011
Total993102

Merged error: 0b

Counts
102 → 3

localize10.0ms

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

rewrite11.0ms

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)))
6.0ms
(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
2.0ms
(cbrt (sqrt (fabs (- x y))))
1.0ms
(cbrt (fabs (- x y)))

series31.0ms

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)))

simplify49.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05202736

prune61.0ms

Filtered
57 candidates to 84 candidates (-47.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done022
Total84387

Merged error: 0b

Counts
87 → 3

regimes198.0ms

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
0155
1155

end0.0ms

sample287.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid

Profiling

Loading profile data...