Details

Time bar (total: 2.8s)

analyze436.0ms

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

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
2.0ms60×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03712
13712

prune7.0ms

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: 18.7b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ x y))
1.2b
(+ (* x y) (* z (+ x y)))
17.7b
(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:
5.0ms
(* z (+ x y))
4.0ms
(+ (* x y) (* z (+ x y)))
3.0ms
(sqrt (+ (* x y) (* z (+ x y))))

series46.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* z (+ x y))
7.0ms
(+ (* x y) (* z (+ x y)))
34.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05081617

prune96.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New53760
Fresh000
Picked101
Done000
Total54761

Merged error: 18.6b

Counts
61 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
1.8b
(+ (* x (+ y z)) (* z y))
17.7b
(sqrt (+ (* x (+ y z)) (* z y)))

rewrite18.0ms

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-+l+ 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
(* x (+ y z))
6.0ms
(+ (* x (+ y z)) (* z y))
6.0ms
(sqrt (+ (* x (+ y z)) (* z y)))

series47.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (+ y z))
7.0ms
(+ (* x (+ y z)) (* z y))
32.0ms
(sqrt (+ (* x (+ y z)) (* z y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04948617
14948617

prune85.0ms

Filtered
45 candidates to 60 candidates (-33.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh066
Picked011
Done000
Total60767

Merged error: 18.6b

Counts
67 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* x y) (* z (+ x y)))
1.2b
(+ (* x y) (* z (+ x y)))
17.7b
(sqrt (+ (* x y) (* z (+ x y))))
17.7b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite16.0ms

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)))
3.0ms
(sqrt (+ (* x y) (* z (+ x y))))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (* z (+ x y)))
7.0ms
(+ (* x y) (* z (+ x y)))
31.0ms
(sqrt (+ (* x y) (* z (+ x y))))
33.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify25.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05491916

prune91.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh055
Picked011
Done011
Total68775

Merged error: 18.6b

Counts
75 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* x y) (* z (+ x y)))
1.2b
(+ (* x y) (* z (+ x y)))
18.3b
(cbrt (+ (* x y) (* z (+ x y))))
18.3b
(cbrt (+ (* x y) (* z (+ x y))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×add-log-exp
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-div associate-+r+ flip3-+ add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in distribute-lft-in pow1/3 sum-log
Counts
4 → 52
Calls
4 calls:
4.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(+ (* x y) (* z (+ x y)))
3.0ms
(cbrt (+ (* x y) (* z (+ x y))))
3.0ms
(cbrt (+ (* x y) (* z (+ x y))))

series155.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (* z (+ x y)))
7.0ms
(+ (* x y) (* z (+ x y)))
73.0ms
(cbrt (+ (* x y) (* z (+ x y))))
69.0ms
(cbrt (+ (* x y) (* z (+ x y))))

simplify24.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
04992870
14992870

prune78.0ms

Filtered
54 candidates to 64 candidates (-18.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New63164
Fresh134
Picked011
Done022
Total64771

Merged error: 18.6b

Counts
71 → 7

regimes357.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

analyze430.0ms

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

sample656.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid
99.0ms2299×body80nan

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