Details

Time bar (total: 2.3s)

analyze15.0ms

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

sample214.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify504.0ms

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: 27.8b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

26.9b
(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))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(sqrt (* (pow x 2.0) 2))

simplify49.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05069100

prune52.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New7613
Fresh000
Picked011
Done000
Total7714

Merged error: 13.2b

Counts
14 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt (pow x 2.0)) (sqrt 2))
26.8b
(sqrt (pow x 2.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt unpow-prod-down *-un-lft-identity
8×unswap-sqr
6×associate-*r*
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 (pow x 2.0)) (sqrt 2))
2.0ms
(sqrt (pow x 2.0))

series122.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04882536
14882536

prune136.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh325
Picked101
Done011
Total60969

Merged error: 0.1b

Counts
69 → 9

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* 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
(* (fabs (pow x (/ 2.0 2))) (sqrt 2))

series6.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04943262
14943262

prune71.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh527
Picked011
Done011
Total27734

Merged error: 0.0b

Counts
34 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
0.3b
(* (* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
10×associate-*r*
9×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
7×add-sqr-sqrt
6×cbrt-prod add-cube-cbrt *-un-lft-identity
4×associate-*l*
3×sqrt-prod
2×*-commutative add-log-exp
1×unswap-sqr
Counts
2 → 46
Calls
2 calls:
7.0ms
(* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
11.0ms
(* (* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
5.0ms
(* (* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))

simplify42.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04970609
14970609

prune107.0ms

Filtered
32 candidates to 52 candidates (-62.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New50252
Fresh314
Picked101
Done022
Total54559

Merged error: 0b

Counts
59 → 5

regimes93.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822
11822

end0.0ms

sample557.0ms

Algorithm
intervals
Results
443.0ms8000×body80valid

Profiling

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