Details

Time bar (total: 5.2s)

analyze1.4s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
2.3%97.4%0.3%14

sample37.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
9.0ms93×body80invalid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
083817
183817

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* 9.0 (* z t)))))
0.2b
(* 9.0 (* z t))
0.2b
(* a (* 27.0 b))
6.7b
(* y (* 9.0 (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*l* add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*r* *-commutative
2×sum-log
1×+-commutative associate-+r- sub-neg associate-+r+ flip3-+ diff-log flip-+
Counts
4 → 71
Calls
4 calls:
7.0ms
(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* 9.0 (* z t)))))
5.0ms
(* 9.0 (* z t))
4.0ms
(* a (* 27.0 b))
6.0ms
(* y (* 9.0 (* z t)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* 9.0 (* z t)))))
3.0ms
(* 9.0 (* z t))
6.0ms
(* a (* 27.0 b))
6.0ms
(* y (* 9.0 (* z t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05012770

prune143.0ms

Filtered
48 candidates to 83 candidates (-72.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New74983
Fresh011
Picked101
Done000
Total751085

Merged error: 0.0b

Counts
85 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
0.0b
(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
0.2b
(* a (* 27.0 b))
6.7b
(* (* y 9.0) (* z t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l*
2×sub-neg diff-log associate-*r* sum-log *-commutative
1×+-commutative associate-+r- associate-+r+ flip3-- flip3-+ flip-- flip-+
Counts
4 → 65
Calls
4 calls:
6.0ms
(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
7.0ms
(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
4.0ms
(* a (* 27.0 b))
6.0ms
(* (* y 9.0) (* z t))

series66.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
37.0ms
(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
3.0ms
(* a (* 27.0 b))
6.0ms
(* (* y 9.0) (* z t))

simplify48.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05015910

prune121.0ms

Filtered
47 candidates to 77 candidates (-63.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New75277
Fresh189
Picked011
Done000
Total761187

Merged error: 0.0b

Counts
87 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* (* 9.0 z) t))))
0.2b
(* (* 9.0 z) t)
0.2b
(* a (* 27.0 b))
6.7b
(* y (* (* 9.0 z) t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
5×associate-*r*
3×*-commutative
2×sum-log
1×+-commutative associate-+r- sub-neg associate-+r+ flip3-+ diff-log flip-+
Counts
4 → 71
Calls
4 calls:
7.0ms
(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* (* 9.0 z) t))))
5.0ms
(* (* 9.0 z) t)
4.0ms
(* a (* 27.0 b))
6.0ms
(* y (* (* 9.0 z) t))

series48.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x 2.0) (- (* a (* 27.0 b)) (* y (* (* 9.0 z) t))))
3.0ms
(* (* 9.0 z) t)
3.0ms
(* a (* 27.0 b))
6.0ms
(* y (* (* 9.0 z) t))

simplify29.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
04969773
14969773

prune116.0ms

Filtered
49 candidates to 83 candidates (-69.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh099
Picked011
Done011
Total831194

Merged error: 0.0b

Counts
94 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (* t (cbrt 9.0)))
0.2b
(* a (* 27.0 b))
0.3b
(* (* (cbrt 9.0) (cbrt 9.0)) (* z (* t (cbrt 9.0))))
6.7b
(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* z (* t (cbrt 9.0)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
64×pow1 add-exp-log
47×add-cbrt-cube
43×pow-prod-down prod-exp cbrt-unprod
10×associate-*l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp
Counts
4 → 97
Calls
4 calls:
5.0ms
(* z (* t (cbrt 9.0)))
4.0ms
(* a (* 27.0 b))
11.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* z (* t (cbrt 9.0))))
15.0ms
(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* z (* t (cbrt 9.0)))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* z (* t (cbrt 9.0)))
3.0ms
(* a (* 27.0 b))
8.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* z (* t (cbrt 9.0))))
11.0ms
(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* z (* t (cbrt 9.0)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05368724

prune102.0ms

Filtered
51 candidates to 109 candidates (-113.7%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh088
Picked011
Done022
Total10911120

Merged error: 0.0b

Counts
120 → 11

regimes1.8s

Accuracy

87.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0210105
1210105

end0.0ms

sample906.0ms

Algorithm
intervals
Results
401.0ms8000×body80valid
148.0ms3001×body80invalid

Profiling

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