Details

Time bar (total: 2.6s)

sample44.0ms

Algorithm
intervals
Results
11.0ms277×body80nan
11.0ms256×body80valid

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: 21.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ x y))
2.0b
(+ (* x y) (* z (+ x y)))
19.8b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite15.0ms

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))))

series50.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* z (+ x y))
7.0ms
(+ (* x y) (* z (+ x y)))
36.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04917621
14917621

prune104.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New52860
Fresh000
Picked101
Done000
Total53861

Merged error: 20.9b

Counts
61 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b
(+ (* x y) (* z (+ x y)))
2.0b
(+ (* x y) (* z (+ x y)))
19.8b
(sqrt (+ (* x y) (* z (+ x y))))
19.8b
(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))))

series82.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05303916

prune107.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New67168
Fresh077
Picked101
Done000
Total68876

Merged error: 20.9b

Counts
76 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z))))
19.8b
(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)
5.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z))))
4.0ms
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z)))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
22.0ms
(cbrt z)
12.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z))))
39.0ms
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (cbrt z)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04935556
14935556

prune96.0ms

Filtered
44 candidates to 60 candidates (-36.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh077
Picked011
Done000
Total59968

Merged error: 20.9b

Counts
68 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (pow (cbrt z) 2))
2.0b
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (* (cbrt (pow (cbrt z) 2)) (cbrt (cbrt z))))))
19.8b
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (* (cbrt (pow (cbrt z) 2)) (cbrt (cbrt z)))))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×unpow-prod-down 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 unpow2 sqr-pow
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt z)
3.0ms
(cbrt (pow (cbrt z) 2))
5.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (* (cbrt (pow (cbrt z) 2)) (cbrt (cbrt z))))))
4.0ms
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (* (cbrt (pow (cbrt z) 2)) (cbrt (cbrt z)))))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
36.0ms
(cbrt (pow (cbrt z) 2))
12.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (* (cbrt (pow (cbrt z) 2)) (cbrt (cbrt z))))))
41.0ms
(sqrt (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (+ x y) (* (cbrt (pow (cbrt z) 2)) (cbrt (cbrt z)))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05126669

prune99.0ms

Filtered
50 candidates to 68 candidates (-36.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh077
Picked101
Done011
Total68977

Merged error: 20.9b

Counts
77 → 9

regimes216.0ms

Accuracy

0% (0.4b remaining)

Error of 20.8b against oracle of 20.4b and baseline of 20.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample1.2s

Algorithm
intervals
Results
347.0ms8000×body80valid
330.0ms7880×body80nan

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