Details

Time bar (total: 2.2s)

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

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms46×body80nan
1.0ms17×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (* y (sqrt z)))
7.0ms
(* y (sqrt z))

simplify37.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (32.0ms)

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

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)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
16.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05286622

prune102.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh066
Picked011
Done011
Total999108

Merged error: 0b

Counts
108 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
0.6b
(cbrt (pow (sqrt (sqrt z)) 3))
0.7b
(pow (sqrt (sqrt z)) 3)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
66×sqrt-prod
48×cbrt-prod
36×add-sqr-sqrt associate-*r*
30×add-cube-cbrt *-un-lft-identity
27×unpow-prod-down cube-prod
14×pow1
12×add-exp-log
10×add-cbrt-cube
5×pow-pow
4×sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×cube-mult pow-unpow unpow3 unswap-sqr sqr-pow
2×pow1/2 *-commutative
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 141
Calls
4 calls:
6.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
4.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
4.0ms
(pow (sqrt (sqrt z)) 3)

series55.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
17.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
21.0ms
(pow (sqrt (sqrt z)) 3)

simplify60.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
048861054
148861054

prune155.0ms

Filtered
74 candidates to 153 candidates (-106.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh156
Picked101
Done022
Total1548162

Merged error: 0b

Counts
162 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (cbrt (pow z 3/4)))
0.6b
(cbrt (pow z 3/4))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×sqrt-prod
19×associate-*r*
15×add-cube-cbrt *-un-lft-identity
14×cbrt-prod
13×pow1
11×add-exp-log
9×add-cbrt-cube
6×unpow-prod-down
4×sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×rem-sqrt-square pow1/2 *-commutative sqr-pow
1×pow1/3
Counts
4 → 85
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow z 3/4)))
2.0ms
(cbrt (pow z 3/4))

series59.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow z 3/4)))
20.0ms
(cbrt (pow z 3/4))

simplify30.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05268774

prune133.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh055
Picked011
Done022
Total978105

Merged error: 0b

Counts
105 → 8

regimes533.0ms

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

sample499.0ms

Algorithm
intervals
Results
277.0ms8000×body80valid
35.0ms1059×body80nan
16.0ms411×body80invalid

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