Details

Time bar (total: 6.1s)

analyze1.5s

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

sample35.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
6.0ms116×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08617
18617

prune16.0ms

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
(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
0.3b
(* 9.0 (* z t))
0.4b
(* a (* 27.0 b))
4.7b
(* y (* 9.0 (* z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
3×associate-*r* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
4 → 68
Calls
4 calls:
4.0ms
(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
4.0ms
(* 9.0 (* z t))
4.0ms
(* a (* 27.0 b))
6.0ms
(* y (* 9.0 (* z t)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (* 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)))

simplify44.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05477674

prune111.0ms

Filtered
45 candidates to 80 candidates (-77.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New75580
Fresh011
Picked101
Done000
Total76682

Merged error: 0.0b

Counts
82 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.7b
(* y (* 9.0 (* z t)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
7.0ms
(* y (* 9.0 (* z t)))

series74.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt a)
21.0ms
(cbrt a)
22.0ms
(cbrt a)
6.0ms
(* y (* 9.0 (* z t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04928326
14928326

prune83.0ms

Filtered
42 candidates to 66 candidates (-57.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done000
Total66672

Merged error: 0.0b

Counts
72 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (* t (sqrt 9.0)))
0.3b
(* (sqrt 9.0) (* z (* t (sqrt 9.0))))
0.4b
(* a (* 27.0 b))
4.7b
(* y (* (sqrt 9.0) (* z (* t (sqrt 9.0)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
15×associate-*l*
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp
3×sqrt-prod
Counts
4 → 84
Calls
4 calls:
5.0ms
(* z (* t (sqrt 9.0)))
8.0ms
(* (sqrt 9.0) (* z (* t (sqrt 9.0))))
4.0ms
(* a (* 27.0 b))
12.0ms
(* y (* (sqrt 9.0) (* z (* t (sqrt 9.0)))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* z (* t (sqrt 9.0)))
7.0ms
(* (sqrt 9.0) (* z (* t (sqrt 9.0))))
3.0ms
(* a (* 27.0 b))
12.0ms
(* y (* (sqrt 9.0) (* z (* t (sqrt 9.0)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05041635

prune115.0ms

Filtered
55 candidates to 96 candidates (-74.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh044
Picked011
Done011
Total966102

Merged error: 0.0b

Counts
102 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
0.2b
(* (* 9.0 z) t)
0.4b
(* a (* 27.0 b))
4.7b
(* y (* (* 9.0 z) t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
6×add-log-exp
5×associate-*r*
3×*-commutative
1×sub-neg flip3-- diff-log flip--
Counts
4 → 68
Calls
4 calls:
4.0ms
(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
4.0ms
(* (* 9.0 z) t)
4.0ms
(* a (* 27.0 b))
6.0ms
(* y (* (* 9.0 z) t))

series30.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (* 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))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05165677

prune74.0ms

Filtered
48 candidates to 80 candidates (-66.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New79180
Fresh123
Picked011
Done022
Total80686

Merged error: 0.0b

Counts
86 → 6

regimes1.4s

Accuracy

87.4% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 4.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04651
14651

end0.0ms

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

sample908.0ms

Algorithm
intervals
Results
398.0ms8000×body80valid
149.0ms2932×body80invalid

Profiling

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