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

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify717.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
048116
148116

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 32.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2.0) 2)
31.6b
(sqrt (* (pow x 2.0) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*r* 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
(* (pow x 2.0) 2)
5.0ms
(sqrt (* (pow x 2.0) 2))

series139.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (pow x 2.0) 2)
82.0ms
(sqrt (* (pow x 2.0) 2))

simplify93.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
04895307
14895307

prune88.0ms

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: 15.5b

Counts
42 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt 2) (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) (pow x 1.0))

series62.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* (sqrt 2) (pow x 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04938305
14938305

prune70.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New29534
Fresh426
Picked011
Done011
Total33942

Merged error: 15.4b

Counts
42 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 1.0) (cbrt (sqrt 2)))
0.2b
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

rewrite19.0ms

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:
6.0ms
(* (pow x 1.0) (cbrt (sqrt 2)))
10.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

series139.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (pow x 1.0) (cbrt (sqrt 2)))
60.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

simplify60.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05844629

prune143.0ms

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

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New65267
Fresh156
Picked011
Done022
Total661076

Merged error: 15.4b

Counts
76 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 1.0) (sqrt (sqrt 2)))
0.3b
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

rewrite20.0ms

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)))
11.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

series119.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (pow x 1.0) (sqrt (sqrt 2)))
58.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

simplify82.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04913655
14913655

prune107.0ms

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

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New64468
Fresh246
Picked011
Done123
Total671178

Merged error: 15.4b

Counts
78 → 11

regimes177.0ms

Accuracy

98.6% (0.2b remaining)

Error of 15.2b against oracle of 15.0b and baseline of 30.7b

bsearch25.0ms

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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01925
11925

end0.0ms

analyze6.0ms

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

sample506.0ms

Algorithm
intervals
Results
407.0ms8000×body80valid
0.0ms3×body80invalid

Profiling

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