Details

Time bar (total: 2.6s)

sample40.0ms

Algorithm
intervals
Results
13.0ms273×body80valid
7.0ms240×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
010510
110510

prune6.0ms

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)))
0.3b
(* 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))

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* y (sqrt z)))
6.0ms
(* y (sqrt z))

simplify37.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05449299

prune72.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New31839
Fresh000
Picked011
Done000
Total31940

Merged error: 0.0b

Counts
40 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

series46.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
14.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
6.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04918622
14918622

prune99.0ms

Filtered
56 candidates to 100 candidates (-78.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh437
Picked011
Done011
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
99×sqrt-prod
49×add-sqr-sqrt
42×sqrt-pow1
38×pow1
25×associate-*r*
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
16×pow1/2
14×pow-prod-down
13×associate-*l*
12×unswap-sqr
10×prod-exp pow-prod-up cbrt-unprod
4×add-log-exp
3×rem-sqrt-square pow3 *-commutative
1×sqrt-unprod
Counts
4 → 135
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt z)))
13.0ms
(* y (* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z)))))
18.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z))))) (sqrt (sqrt (sqrt z))))
11.0ms
(* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt (sqrt z)))
18.0ms
(* y (* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z)))))
6.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z))))) (sqrt (sqrt (sqrt z))))
21.0ms
(* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z))))

simplify35.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050991151

prune132.0ms

Filtered
77 candidates to 147 candidates (-90.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1461147
Fresh055
Picked101
Done022
Total1478155

Merged error: 0.0b

Counts
155 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt (sqrt z)))
0.3b
(* y (pow z 3/8))
0.3b
(* (* y (pow z 3/8)) (sqrt (sqrt (sqrt z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
49×sqrt-prod
26×add-sqr-sqrt
19×add-exp-log associate-*r*
16×add-cube-cbrt *-un-lft-identity
13×sqrt-pow1
11×pow1 add-cbrt-cube
10×prod-exp
5×rem-sqrt-square pow1/2
4×unpow-prod-down associate-*l* cbrt-unprod add-log-exp
3×unswap-sqr
2×pow-to-exp pow-exp *-commutative sqr-pow
1×pow-prod-down
Counts
4 → 97
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
3.0ms
(sqrt (sqrt (sqrt z)))
5.0ms
(* y (pow z 3/8))
9.0ms
(* (* y (pow z 3/8)) (sqrt (sqrt (sqrt z))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt z))
15.0ms
(sqrt (sqrt (sqrt z)))
17.0ms
(* y (pow z 3/8))
16.0ms
(* (* y (pow z 3/8)) (sqrt (sqrt (sqrt z))))

simplify32.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05171831

prune118.0ms

Filtered
65 candidates to 109 candidates (-67.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh055
Picked011
Done022
Total1098117

Merged error: 0.0b

Counts
117 → 8

regimes452.0ms

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

sample1.1s

Algorithm
intervals
Results
304.0ms8570×body80valid
278.0ms8707×body80nan

Profiling

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