Details

Time bar (total: 2.0s)

analyze179.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
34.3%40.6%25.1%7
35.9%39%25.1%8
42.1%32.8%25.1%9
42.9%19.5%37.6%10
43.3%19.1%37.6%11
45%17.5%37.6%12
45.1%10.3%44.6%13
45.2%10.2%44.6%14

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms31×body80nan
0.0ms11×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
010510
110510

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

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
(* y (sqrt z))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* y (sqrt z))

simplify41.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04978172
14978172

prune49.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New19625
Fresh000
Picked011
Done000
Total19726

Merged error: 0.0b

Counts
26 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(sqrt (sqrt z))
16.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
6.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05286622

prune105.0ms

Filtered
55 candidates to 100 candidates (-81.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh145
Picked101
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(sqrt (sqrt z))
0.2b
(* y (pow z 1/4))
0.3b
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
18×add-exp-log add-sqr-sqrt
16×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×prod-exp add-cbrt-cube
7×pow1
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×add-log-exp unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×pow-prod-down
Counts
3 → 69
Calls
3 calls:
2.0ms
(sqrt (sqrt z))
5.0ms
(* y (pow z 1/4))
7.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(sqrt (sqrt z))
11.0ms
(* y (pow z 1/4))
11.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04925607
14925607

prune101.0ms

Filtered
48 candidates to 78 candidates (-62.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh145
Picked011
Done011
Total78785

Merged error: 0.0b

Counts
85 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
0.4b
(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
27×add-sqr-sqrt
18×associate-*r*
17×pow1
15×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*l*
9×cbrt-prod pow-prod-down
7×prod-exp cbrt-unprod
6×unswap-sqr
4×add-log-exp
2×sqrt-pow1 pow1/2 pow1/3 *-commutative
1×sqrt-unprod
Counts
4 → 87
Calls
4 calls:
15.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
7.0ms
(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series101.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
22.0ms
(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
20.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051231077

prune99.0ms

Filtered
62 candidates to 99 candidates (-59.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh314
Picked011
Done022
Total1006106

Merged error: 0b

Counts
106 → 6

regimes444.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01310
11310

end0.0ms

sample491.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid
33.0ms1086×body80nan
15.0ms395×body80invalid

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