Details

Time bar (total: 2.6s)

analyze170.0ms

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

sample37.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

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

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* y (sqrt z))

rewrite6.0ms

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))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* y (sqrt z))

simplify46.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04978172
14978172

prune48.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh000
Picked011
Done000
Total21526

Merged error: 0.0b

Counts
26 → 5

localize11.0ms

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)))

rewrite22.0ms

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)))
10.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (sqrt z))
15.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05286622

prune109.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh033
Picked011
Done011
Total978105

Merged error: 0b

Counts
105 → 8

localize18.0ms

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))))
8.0ms
(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series108.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
23.0ms
(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
25.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify55.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051231077

prune125.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh235
Picked101
Done022
Total1007107

Merged error: 0b

Counts
107 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
18×pow1 add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
10×associate-*l*
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 *-commutative
Counts
4 → 76
Calls
4 calls:
8.0ms
(* (sqrt (sqrt z)) (* (sqrt (fabs (cbrt z))) y))
14.0ms
(* (* (sqrt (sqrt z)) (* (sqrt (fabs (cbrt z))) y)) (sqrt (sqrt (cbrt z))))
2.0ms
(cbrt z)
1.0ms
(cbrt z)

series120.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (sqrt (sqrt z)) (* (sqrt (fabs (cbrt z))) y))
43.0ms
(* (* (sqrt (sqrt z)) (* (sqrt (fabs (cbrt z))) y)) (sqrt (sqrt (cbrt z))))
24.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify49.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05097980

prune91.0ms

Filtered
54 candidates to 88 candidates (-63.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New87188
Fresh134
Picked011
Done022
Total88795

Merged error: 0b

Counts
95 → 7

regimes508.0ms

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

sample914.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid

Profiling

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