Details

Time bar (total: 2.4s)

analyze448.0ms

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
6.2%93.6%0.1%6
12.5%87.4%0.1%7
15.6%84.3%0.1%8
18.7%71.8%9.5%9
23.4%56%20.6%10
26.3%52.2%21.5%11
31%40.1%28.9%12
35.6%28.9%35.5%13
36.8%27.5%35.7%14

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms76×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03712
13712

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 22.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ x y))
1.6b
(+ (* x y) (* z (+ x y)))
21.1b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-cube-cbrt
5×add-exp-log add-cbrt-cube add-log-exp
4×associate-*r*
3×flip3-+ associate-*l* sqrt-prod flip-+
2×distribute-rgt-in associate-+r+ distribute-lft-in sqrt-div associate-*r/
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 51
Calls
3 calls:
6.0ms
(* z (+ x y))
4.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))

series44.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* z (+ x y))
6.0ms
(+ (* x y) (* z (+ x y)))
31.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04917621
14917621

prune88.0ms

Filtered
43 candidates to 60 candidates (-39.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh000
Picked011
Done000
Total54761

Merged error: 22.3b

Counts
61 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* x y) (* z (+ x y)))
1.6b
(+ (* x y) (* z (+ x y)))
21.1b
(sqrt (+ (* x y) (* z (+ x y))))
21.1b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log associate-+r+ flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 56
Calls
4 calls:
4.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))

series75.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x y) (* z (+ x y)))
6.0ms
(+ (* x y) (* z (+ x y)))
30.0ms
(sqrt (+ (* x y) (* z (+ x y))))
31.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05303916

prune100.0ms

Filtered
54 candidates to 68 candidates (-25.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New66268
Fresh145
Picked011
Done011
Total67875

Merged error: 22.3b

Counts
75 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.6b
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z))))
21.1b
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log add-cbrt-cube
3×sqrt-prod
2×flip3-+ pow1/3 sqrt-div flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
4.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z))))
4.0ms
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z)))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt z)
22.0ms
(cbrt z)
11.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z))))
38.0ms
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04935556
14935556

prune78.0ms

Filtered
42 candidates to 60 candidates (-42.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh055
Picked011
Done022
Total60868

Merged error: 22.3b

Counts
68 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* x y) (* z (+ x y)))
21.1b
(sqrt (+ (* x y) (* z (+ x y))))
21.7b
(cbrt (+ (* x y) (* z (+ x y))))
21.7b
(cbrt (+ (* x y) (* z (+ x y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log cbrt-div flip3-+ add-cbrt-cube flip-+
3×sqrt-prod
2×associate-+r+ pow1/3 sqrt-div
1×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 54
Calls
4 calls:
4.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))
4.0ms
(cbrt (+ (* x y) (* z (+ x y))))
4.0ms
(cbrt (+ (* x y) (* z (+ x y))))

series149.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x y) (* z (+ x y)))
31.0ms
(sqrt (+ (* x y) (* z (+ x y))))
55.0ms
(cbrt (+ (* x y) (* z (+ x y))))
56.0ms
(cbrt (+ (* x y) (* z (+ x y))))

simplify31.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
04999939
14999939

prune95.0ms

Filtered
57 candidates to 66 candidates (-15.8%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New66066
Fresh044
Picked011
Done033
Total66874

Merged error: 22.3b

Counts
74 → 8

regimes194.0ms

Accuracy

0% (0.1b remaining)

Error of 19.2b against oracle of 19.1b and baseline of 19.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample664.0ms

Algorithm
intervals
Results
349.0ms8000×body80valid
100.0ms2380×body80nan

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