Details

Time bar (total: 2.1s)

analyze12.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify699.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
054966

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
31.0b
(sqrt (* 2.0 (pow x 2.0)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*l* prod-exp unswap-sqr
2×add-log-exp sqr-pow
1×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-prod *-commutative cbrt-unprod
Counts
2 → 35
Calls
2 calls:
5.0ms
(* 2.0 (pow x 2.0))
5.0ms
(sqrt (* 2.0 (pow x 2.0)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* 2.0 (pow x 2.0))
84.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05119306

prune91.0ms

Filtered
31 candidates to 41 candidates (-32.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34741
Fresh000
Picked011
Done000
Total34842

Merged error: 15.0b

Counts
42 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt 2.0) (sqrt (pow x 2.0)))
30.9b
(sqrt (pow x 2.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt unpow-prod-down *-un-lft-identity
8×unswap-sqr
6×associate-*l*
5×sqr-pow
4×pow1 add-exp-log add-cbrt-cube
3×rem-sqrt-square pow1/2
2×pow-prod-down add-log-exp
1×sqrt-pow1 sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
2 → 56
Calls
2 calls:
7.0ms
(* (sqrt 2.0) (sqrt (pow x 2.0)))
3.0ms
(sqrt (pow x 2.0))

series119.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (sqrt 2.0) (sqrt (pow x 2.0)))
58.0ms
(sqrt (pow x 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04907532
14907532

prune110.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57562
Fresh606
Picked101
Done011
Total64670

Merged error: 0.1b

Counts
70 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*l*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*r* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

simplify52.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04814265
14814265

prune66.0ms

Filtered
18 candidates to 25 candidates (-38.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New20525
Fresh404
Picked011
Done011
Total24731

Merged error: 0.0b

Counts
31 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (fabs (pow x (* 2.0 1/2))) (cbrt (sqrt 2.0)))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs (pow x (* 2.0 1/2))) (cbrt (sqrt 2.0))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-sqr-sqrt
10×associate-*r*
9×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
8×cbrt-prod
6×add-cube-cbrt *-un-lft-identity
4×associate-*l* sqrt-prod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 48
Calls
2 calls:
5.0ms
(* (fabs (pow x (* 2.0 1/2))) (cbrt (sqrt 2.0)))
10.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs (pow x (* 2.0 1/2))) (cbrt (sqrt 2.0))))

series29.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (fabs (pow x (* 2.0 1/2))) (cbrt (sqrt 2.0)))
5.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs (pow x (* 2.0 1/2))) (cbrt (sqrt 2.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04787584
14787584

prune105.0ms

Filtered
33 candidates to 54 candidates (-63.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh134
Picked011
Done112
Total55661

Merged error: 0.0b

Counts
61 → 6

regimes47.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11418

end0.0ms

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample399.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid

Profiling

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