Details

Time bar (total: 2.0s)

analyze165.0ms

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

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms39×body80nan
1.0ms16×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
010510
110510

prune7.0ms

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 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* y (sqrt z)))
9.0ms
(* y (sqrt z))

simplify37.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04969299
14969299

prune64.0ms

Filtered
30 candidates to 39 candidates (-30.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize10.0ms

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)))

rewrite21.0ms

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)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
17.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05286622

prune101.0ms

Filtered
58 candidates to 100 candidates (-72.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh033
Picked101
Done011
Total996105

Merged error: 0b

Counts
105 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (pow z 1/4))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
8×pow1
6×add-log-exp
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative
1×+-commutative flip3-+ pow-prod-down sum-log flip-+ sqr-pow
Counts
4 → 80
Calls
4 calls:
3.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
8.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

series51.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
14.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify48.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04945831
14945831

prune116.0ms

Filtered
59 candidates to 92 candidates (-55.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done011
Total92698

Merged error: 0b

Counts
98 → 6

localize17.0ms

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)

rewrite25.0ms

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:
13.0ms
(* (* 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)

series100.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
21.0ms
(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
21.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051231077

prune101.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh123
Picked101
Done022
Total1005105

Merged error: 0b

Counts
105 → 5

regimes393.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01310
11310

end0.0ms

sample546.0ms

Algorithm
intervals
Results
300.0ms8000×body80valid
35.0ms1042×body80nan
14.0ms389×body80invalid

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