Details

Time bar (total: 2.8s)

analyze450.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms83×body80nan

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1337
2427
3447
4447

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

1.2b
(+ (* x y) (* x z))
3.0b
(+ (+ (* x y) (* x z)) (* y z))
20.9b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity sum-log
3×add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 40
Calls
3 calls:
3.0ms
(+ (* x y) (* x z))
6.0ms
(+ (+ (* x y) (* x z)) (* y z))
5.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series48.0ms

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

simplify121.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0256358
1972331
23980326
35002326

prune81.0ms

Filtered
38 candidates to 49 candidates (-28.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New44549
Fresh000
Picked101
Done000
Total45550

Merged error: 22.0b

Counts
50 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ x y))
2.0b
(+ (* x y) (* z (+ x y)))
20.9b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite16.0ms

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))
6.0ms
(+ (* x y) (* z (+ x y)))
3.0ms
(sqrt (+ (* x y) (* z (+ x y))))

series44.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* z (+ x y))
7.0ms
(+ (* x y) (* z (+ x y)))
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0280331
11194312
25001311

prune88.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57360
Fresh314
Picked011
Done000
Total60565

Merged error: 22.0b

Counts
65 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b
(+ (* x y) (* z (+ x y)))
2.0b
(+ (* x y) (* z (+ x y)))
20.9b
(sqrt (+ (* x y) (* z (+ x y))))
20.9b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite15.0ms

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))))
3.0ms
(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))))

simplify101.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0191500
1727472
23549472
35002472

prune91.0ms

Filtered
58 candidates to 68 candidates (-17.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh033
Picked011
Done011
Total68573

Merged error: 22.0b

Counts
73 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b
(+ (* x y) (* z (+ x y)))
20.9b
(sqrt (+ (* x y) (* z (+ x y))))
20.9b
(sqrt (+ (* x y) (* z (+ x y))))
20.9b
(sqrt (+ (* x y) (* z (+ x y))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div add-log-exp
4×add-exp-log flip3-+ add-cbrt-cube flip-+
3×rem-sqrt-square sqrt-pow1 pow1/2
2×associate-+r+
1×+-commutative distribute-rgt-in distribute-lft-in sum-log
Counts
4 → 58
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
(sqrt (+ (* x y) (* z (+ x y))))

series103.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (* z (+ x y)))
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))
33.0ms
(sqrt (+ (* x y) (* z (+ x y))))
32.0ms
(sqrt (+ (* x y) (* z (+ x y))))

simplify96.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0191548
1727524
23549524
35002524

prune86.0ms

Filtered
61 candidates to 70 candidates (-14.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done022
Total70575

Merged error: 22.0b

Counts
75 → 5

regimes156.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

analyze443.0ms

Algorithm
search

sample643.0ms

Algorithm
intervals
Results
343.0ms8000×body80valid
99.0ms2360×body80nan

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