Details

Time bar (total: 2.1s)

analyze172.0ms

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

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms25×body80nan
0.0ms9×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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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)))
7.0ms
(* y (sqrt z))

simplify38.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04969299
14969299

prune72.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8

localize10.0ms

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)))

rewrite25.0ms

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))
4.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
14.0ms
(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

prune104.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh426
Picked101
Done011
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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))

series60.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
19.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify68.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04945831
14945831

prune119.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh055
Picked011
Done011
Total92799

Merged error: 0.0b

Counts
99 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
61×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp unswap-sqr
3×*-commutative
2×rem-sqrt-square pow1/2
Counts
4 → 103
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
7.0ms
(* y (sqrt (sqrt (sqrt z))))
15.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
12.0ms
(* y (sqrt (sqrt (sqrt z))))
7.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify36.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05317840

prune87.0ms

Filtered
63 candidates to 115 candidates (-82.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1132115
Fresh134
Picked011
Done022
Total1148122

Merged error: 0b

Counts
122 → 8

regimes465.0ms

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

sample546.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid
39.0ms1106×body80nan
14.0ms403×body80invalid

Profiling

Loading profile data...