Details

Time bar (total: 2.4s)

analyze452.0ms

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

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms80×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03712
13712

prune11.0ms

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: 18.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.8b
(+ (* x y) (* z (+ x y)))
17.6b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log associate-+r+ flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
2 → 28
Calls
2 calls:
4.0ms
(+ (* x y) (* z (+ x y)))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))

series40.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x y) (* z (+ x y)))
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify40.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05303458

prune62.0ms

Filtered
27 candidates to 34 candidates (-25.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New29534
Fresh000
Picked101
Done000
Total30535

Merged error: 18.5b

Counts
35 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
0.6b
(+ (* x (+ y z)) (* z y))
17.6b
(sqrt (+ (* x (+ y z)) (* z y)))

rewrite23.0ms

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:
8.0ms
(* x (+ y z))
7.0ms
(+ (* x (+ y z)) (* z y))
7.0ms
(sqrt (+ (* x (+ y z)) (* z y)))

series46.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* x (+ y z))
7.0ms
(+ (* x (+ y z)) (* z y))
33.0ms
(sqrt (+ (* x (+ y z)) (* z y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05007617

prune90.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56460
Fresh224
Picked011
Done000
Total58765

Merged error: 18.5b

Counts
65 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* x y) (* z (+ x y)))
0.8b
(+ (* x y) (* z (+ x y)))
17.6b
(sqrt (+ (* x y) (* z (+ x y))))
17.6b
(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))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (* z (+ x y)))
7.0ms
(+ (* x y) (* z (+ x y)))
34.0ms
(sqrt (+ (* x y) (* z (+ x y))))
33.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05303916

prune94.0ms

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: 18.5b

Counts
75 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.5b
(* (cbrt (+ y z)) (cbrt (+ y z)))
0.6b
(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* z y))
17.6b
(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* z y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×cbrt-prod
23×add-sqr-sqrt
14×add-cube-cbrt cbrt-div
12×pow1
9×flip3-+ swap-sqr flip-+
7×pow1/3 associate-*r* associate-*l* distribute-lft-out
6×add-exp-log add-log-exp
4×frac-times add-cbrt-cube unswap-sqr
3×sqrt-prod
2×sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×+-commutative pow2 rem-sqrt-square sqrt-pow1 pow-plus pow1/2 prod-exp sum-log *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
3.0ms
(cbrt (+ y z))
10.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
19.0ms
(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* z y))
19.0ms
(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* z y)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ y z))
38.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
12.0ms
(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* z y))
39.0ms
(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* z y)))

simplify83.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049061178
149061178

prune120.0ms

Filtered
74 candidates to 105 candidates (-41.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1032105
Fresh044
Picked101
Done022
Total1048112

Merged error: 18.3b

Counts
112 → 8

regimes204.0ms

Accuracy

0% (0.2b remaining)

Error of 19.5b against oracle of 19.2b and baseline of 19.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample685.0ms

Algorithm
intervals
Results
368.0ms8000×body80valid
106.0ms2385×body80nan

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