Details

Time bar (total: 2.7s)

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

sample211.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify500.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
054966

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
31.6b
(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)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* 2.0 (pow x 2.0))
86.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05119306

prune93.0ms

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: 15.3b

Counts
42 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt 2.0) (pow x 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
7×associate-*r*
6×add-exp-log associate-*l* sqrt-prod unswap-sqr
5×add-cube-cbrt unpow-prod-down *-un-lft-identity
3×prod-exp add-cbrt-cube sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 31
Calls
1 calls:
6.0ms
(* (sqrt 2.0) (pow x 1.0))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* (sqrt 2.0) (pow x 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04986305
14986305

prune72.0ms

Filtered
20 candidates to 34 candidates (-70.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New29534
Fresh336
Picked011
Done011
Total321042

Merged error: 15.1b

Counts
42 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 1.0) (cbrt (sqrt 2.0)))
0.2b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (pow x 1.0) (cbrt (sqrt 2.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
22×add-sqr-sqrt
21×prod-exp
12×cbrt-prod
10×associate-*r*
9×add-cbrt-cube cbrt-unprod unswap-sqr
8×associate-*l*
7×pow1 add-cube-cbrt *-un-lft-identity
6×unpow-prod-down sqrt-prod
4×sqr-pow
3×pow-to-exp pow-prod-down pow-exp
2×*-commutative add-log-exp
Counts
2 → 61
Calls
2 calls:
7.0ms
(* (pow x 1.0) (cbrt (sqrt 2.0)))
11.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (pow x 1.0) (cbrt (sqrt 2.0))))

series142.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (pow x 1.0) (cbrt (sqrt 2.0)))
62.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (pow x 1.0) (cbrt (sqrt 2.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05879623

prune141.0ms

Filtered
39 candidates to 67 candidates (-71.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New65267
Fresh167
Picked011
Done022
Total661177

Merged error: 15.1b

Counts
77 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 1.0) (sqrt (sqrt 2.0)))
0.3b
(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
17×add-exp-log
16×associate-*l*
10×add-cube-cbrt *-un-lft-identity associate-*r* prod-exp
9×add-cbrt-cube unswap-sqr
6×unpow-prod-down
4×pow1 cbrt-unprod sqr-pow
2×pow-to-exp pow-exp *-commutative add-log-exp
1×pow-prod-down
Counts
2 → 62
Calls
2 calls:
7.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
10.0ms
(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

series122.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (pow x 1.0) (sqrt (sqrt 2.0)))
59.0ms
(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

simplify83.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04927655
14927655

prune103.0ms

Filtered
41 candidates to 68 candidates (-65.9%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New64468
Fresh257
Picked011
Done123
Total671279

Merged error: 15.1b

Counts
79 → 12

regimes380.0ms

Accuracy

98.1% (0.3b remaining)

Error of 15.3b against oracle of 15.0b and baseline of 30.7b

bsearch23.0ms

Steps
ItersRangePoint
9
-8.166177932877852e-303
2.4411841952727536e-308
-8.4461583732341e-311

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01826
11826

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

sample406.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid
0.0ms3×body80invalid

Profiling

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