Details

Time bar (total: 2.9s)

analyze14.0ms

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

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify690.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

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: 33.6b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

32.3b
(sqrt (* (pow x 2.0) 2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1
1×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-pow1 pow1/2 sqrt-prod add-cbrt-cube add-log-exp
Counts
1 → 10
Calls
1 calls:
5.0ms
(sqrt (* (pow x 2.0) 2))

series88.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(sqrt (* (pow x 2.0) 2))

simplify48.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05069100

prune48.0ms

Filtered
12 candidates to 13 candidates (-8.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New8513
Fresh000
Picked011
Done000
Total8614

Merged error: 17.7b

Counts
14 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (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))

series60.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* (sqrt 2) (pow x 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04998305
14998305

prune72.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New29534
Fresh224
Picked011
Done011
Total31940

Merged error: 17.7b

Counts
40 → 9

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))))

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)))
9.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

series125.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (pow x 1.0) (sqrt (sqrt 2)))
63.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

simplify71.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04893655
14893655

prune142.0ms

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

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New64468
Fresh246
Picked011
Done022
Total661177

Merged error: 17.7b

Counts
77 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (pow x 1.0) (sqrt (sqrt (sqrt 2))))
0.3b
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2)))))
0.3b
(* (sqrt (sqrt (sqrt 2))) (* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
63×sqrt-prod
36×add-sqr-sqrt
34×add-exp-log
28×associate-*l*
22×prod-exp
19×add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity
14×associate-*r*
12×unswap-sqr
10×pow1 cbrt-unprod
7×unpow-prod-down
5×sqr-pow
4×pow-prod-down
3×pow-to-exp pow-exp *-commutative add-log-exp
Counts
3 → 99
Calls
3 calls:
9.0ms
(* (pow x 1.0) (sqrt (sqrt (sqrt 2))))
10.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2)))))
15.0ms
(* (sqrt (sqrt (sqrt 2))) (* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2))))))

series229.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* (pow x 1.0) (sqrt (sqrt (sqrt 2))))
87.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2)))))
62.0ms
(* (sqrt (sqrt (sqrt 2))) (* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt (sqrt 2))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
052421177

prune216.0ms

Filtered
66 candidates to 108 candidates (-63.6%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1062108
Fresh167
Picked011
Done033
Total10712119

Merged error: 17.7b

Counts
119 → 12

regimes206.0ms

Accuracy

98.6% (0.2b remaining)

Error of 15.5b against oracle of 15.2b and baseline of 31.3b

bsearch19.0ms

Steps
ItersRangePoint
9
-6.429731566315822e-304
4.394327582231361e-307
1.18320777133784e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02432
12432

end0.0ms

sample573.0ms

Algorithm
intervals
Results
452.0ms8000×body80valid

Profiling

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