Details

Time bar (total: 2.3s)

analyze13.0ms

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

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify690.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
054966

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
30.7b
(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)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* 2.0 (pow x 2.0))
88.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04886308
14886308

prune94.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New35641
Fresh000
Picked011
Done000
Total35742

Merged error: 16.8b

Counts
42 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b
(* (sqrt 2.0) (sqrt (pow x 2.0)))
30.6b
(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:
8.0ms
(* (sqrt 2.0) (sqrt (pow x 2.0)))
2.0ms
(sqrt (pow x 2.0))

series125.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (sqrt 2.0) (sqrt (pow x 2.0)))
60.0ms
(sqrt (pow x 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04864532
14864532

prune137.0ms

Filtered
44 candidates to 62 candidates (-40.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New55762
Fresh415
Picked101
Done011
Total60969

Merged error: 0.1b

Counts
69 → 9

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (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:
5.0ms
(* (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))))

simplify43.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04958265
14958265

prune68.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh617
Picked011
Done011
Total28634

Merged error: 0.0b

Counts
34 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
15×add-sqr-sqrt
12×associate-*l*
10×associate-*r*
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow-prod-down prod-exp cbrt-unprod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 50
Calls
2 calls:
6.0ms
(* (fabs (pow x (* 2.0 1/2))) (sqrt (sqrt 2.0)))
9.0ms
(* (sqrt (sqrt 2.0)) (* (fabs (pow x (* 2.0 1/2))) (sqrt (sqrt 2.0))))

series14.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* (fabs (pow x (* 2.0 1/2))) (sqrt (sqrt 2.0)))
5.0ms
(* (sqrt (sqrt 2.0)) (* (fabs (pow x (* 2.0 1/2))) (sqrt (sqrt 2.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04968630
14968630

prune112.0ms

Filtered
36 candidates to 56 candidates (-55.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh033
Picked011
Done022
Total55762

Merged error: 0.0b

Counts
62 → 7

regimes211.0ms

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
02123
12123

end0.0ms

sample411.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid
0.0ms1×body80invalid

Profiling

Loading profile data...