Details

Time bar (total: 10.7s)

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.5%0.5%0
0%99.5%0.5%1
0%99.5%0.5%2
0%99.5%0.5%3
0%99.5%0.5%4
0%99.5%0.5%5
0%99.5%0.5%6
0%99.5%0.5%7
0%99.5%0.5%8
0%99.5%0.5%9
0%99.5%0.5%10
0%99.5%0.5%11
0%99.5%0.5%12
0%99.5%0.5%13
0%99.5%0.5%14

sample85.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
24.0ms287×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
049429
149429

prune20.0ms

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: 0.5b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.3b
(* (* x 18.0) y)
4.8b
(* (* (* (* x 18.0) y) z) t)
5.0b
(* (* (* x 18.0) y) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
4.0ms
(* (* j 27.0) k)
5.0ms
(* (* x 18.0) y)
9.0ms
(* (* (* (* x 18.0) y) z) t)
7.0ms
(* (* (* x 18.0) y) z)

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* j 27.0) k)
3.0ms
(* (* x 18.0) y)
11.0ms
(* (* (* (* x 18.0) y) z) t)
6.0ms
(* (* (* x 18.0) y) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05551678

prune179.0ms

Filtered
52 candidates to 93 candidates (-78.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New85893
Fresh011
Picked101
Done000
Total86995

Merged error: 0.0b

Counts
95 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.4b
(* x (* 18.0 y))
4.8b
(* (* (* x (* 18.0 y)) z) t)
5.0b
(* (* x (* 18.0 y)) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
*-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
4.0ms
(* (* j 27.0) k)
5.0ms
(* x (* 18.0 y))
9.0ms
(* (* (* x (* 18.0 y)) z) t)
7.0ms
(* (* x (* 18.0 y)) z)

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* j 27.0) k)
3.0ms
(* x (* 18.0 y))
11.0ms
(* (* (* x (* 18.0 y)) z) t)
9.0ms
(* (* x (* 18.0 y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05352679

prune149.0ms

Filtered
47 candidates to 93 candidates (-97.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh088
Picked011
Done000
Total939102

Merged error: 0.0b

Counts
102 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* j (* 27.0 k))
0.3b
(* (* x 18.0) y)
4.8b
(* (* (* (* x 18.0) y) z) t)
5.0b
(* (* (* x 18.0) y) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
*-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
4.0ms
(* j (* 27.0 k))
5.0ms
(* (* x 18.0) y)
9.0ms
(* (* (* (* x 18.0) y) z) t)
7.0ms
(* (* (* x 18.0) y) z)

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* j (* 27.0 k))
3.0ms
(* (* x 18.0) y)
11.0ms
(* (* (* (* x 18.0) y) z) t)
6.0ms
(* (* (* x 18.0) y) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05357677

prune146.0ms

Filtered
50 candidates to 93 candidates (-86.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh077
Picked011
Done011
Total9210102

Merged error: 0.0b

Counts
102 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.2b
(* (* j 27.0) k)
0.3b
(* (* x 18.0) y)
9.0b
(* (* (* x 18.0) y) (* z t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-exp-log add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
add-log-exp
associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative
sum-log
+-commutative associate-+l- sub-neg associate-+l+ flip3-+ diff-log flip-+
Counts
4 → 78
Calls
4 calls:
9.0ms
(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
4.0ms
(* (* j 27.0) k)
5.0ms
(* (* x 18.0) y)
10.0ms
(* (* (* x 18.0) y) (* z t))

series72.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
3.0ms
(* (* j 27.0) k)
3.0ms
(* (* x 18.0) y)
11.0ms
(* (* (* x 18.0) y) (* z t))

simplify43.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05305885

prune95.0ms

Filtered
51 candidates to 90 candidates (-76.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh077
Picked011
Done022
Total9010100

Merged error: 0.0b

Counts
100 → 10

regimes2.8s

Accuracy

87.4% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 5.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094159
194159

end0.0ms

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.5%0.5%0
0%99.5%0.5%1
0%99.5%0.5%2
0%99.5%0.5%3
0%99.5%0.5%4
0%99.5%0.5%5
0%99.5%0.5%6
0%99.5%0.5%7
0%99.5%0.5%8
0%99.5%0.5%9
0%99.5%0.5%10
0%99.5%0.5%11
0%99.5%0.5%12
0%99.5%0.5%13
0%99.5%0.5%14

sample2.2s

Algorithm
intervals
Results
712.0ms8203×body80invalid
705.0ms8000×body80valid

Profiling

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