Details

Time bar (total: 2.5s)

sample39.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms219×body80nan

simplify4.0ms

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: 20.1b

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)))
19.0b
(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)))
4.0ms
(sqrt (+ (* x y) (* z (+ x y))))

series45.0ms

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

simplify28.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
04982621
14982621

prune89.0ms

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: 20.0b

Counts
61 → 7

localize12.0ms

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))))
19.0b
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z)))))

rewrite10.0ms

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

series90.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
21.0ms
(cbrt z)
13.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z))))
35.0ms
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z)))))

simplify30.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05576556

prune75.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh055
Picked011
Done011
Total60767

Merged error: 20.0b

Counts
67 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* x y) (* z (+ x y)))
1.6b
(+ (* x y) (* z (+ x y)))
19.5b
(cbrt (+ (* x y) (* z (+ x y))))
19.5b
(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))))

series120.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x y) (* z (+ x y)))
6.0ms
(+ (* x y) (* z (+ x y)))
55.0ms
(cbrt (+ (* x y) (* z (+ x y))))
52.0ms
(cbrt (+ (* x y) (* z (+ x y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04951852
14951852

prune93.0ms

Filtered
50 candidates to 64 candidates (-28.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New62264
Fresh044
Picked011
Done022
Total62971

Merged error: 20.0b

Counts
71 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* x y) (* z (+ x y)))
19.0b
(sqrt (+ (* x y) (* z (+ x y))))
19.0b
(sqrt (+ (* x y) (* z (+ x y))))
19.5b
(cbrt (+ (* x y) (* z (+ x y))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 sqrt-prod add-log-exp
4×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
3×cbrt-prod
2×rem-sqrt-square cbrt-div associate-+r+ sqrt-pow1 pow1/2
1×+-commutative distribute-rgt-in distribute-lft-in pow1/3 sum-log
Counts
4 → 56
Calls
4 calls:
4.0ms
(+ (* x y) (* z (+ x y)))
3.0ms
(sqrt (+ (* x y) (* z (+ x y))))
3.0ms
(sqrt (+ (* x y) (* z (+ x y))))
3.0ms
(cbrt (+ (* x y) (* z (+ x y))))

series122.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x y) (* z (+ x y)))
31.0ms
(sqrt (+ (* x y) (* z (+ x y))))
30.0ms
(sqrt (+ (* x y) (* z (+ x y))))
54.0ms
(cbrt (+ (* x y) (* z (+ x y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04964961
14964961

prune89.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh055
Picked011
Done033
Total68977

Merged error: 20.0b

Counts
77 → 9

regimes206.0ms

Accuracy

0% (0.1b remaining)

Error of 20.2b against oracle of 20.2b and baseline of 20.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample1.2s

Algorithm
intervals
Results
349.0ms8000×body80valid
341.0ms7985×body80nan

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