Details

Time bar (total: 20.5s)

analyze2.1s

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

sample82.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
21.0ms263×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
049429
149429

prune203.0ms

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: 0.6b

Counts
2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* y (* z t)))
0.2b
(* j (* 27.0 k))
4.6b
(* y (* z t))
5.5b
(* x (* 18.0 (* y (* z t))))

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-*l*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
7.0ms
(* 18.0 (* y (* z t)))
4.0ms
(* j (* 27.0 k))
5.0ms
(* y (* z t))
8.0ms
(* x (* 18.0 (* y (* z t))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 18.0 (* y (* z t)))
3.0ms
(* j (* 27.0 k))
6.0ms
(* y (* z t))
11.0ms
(* x (* 18.0 (* y (* z t))))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05545670

prune154.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New84993
Fresh011
Picked101
Done000
Total851095

Merged error: 0.5b

Counts
95 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* 18.0 (* y (* z t)))
4.6b
(* y (* z t))
5.5b
(* x (* 18.0 (* y (* z t))))

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-*l*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×*-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (* j 27.0) k)
6.0ms
(* 18.0 (* y (* z t)))
4.0ms
(* y (* z t))
8.0ms
(* x (* 18.0 (* y (* z t))))

series26.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05019671

prune138.0ms

Filtered
46 candidates to 93 candidates (-102.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh189
Picked011
Done000
Total9310103

Merged error: 0.5b

Counts
103 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
0.2b
(* j (* 27.0 k))
4.6b
(* y (* z t))
5.6b
(* (* x 18.0) (* y (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-exp-log add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×associate-*r* *-commutative
2×associate-+r+
1×+-commutative distribute-rgt-in distribute-lft-in flip3-+ sum-log flip-+
Counts
4 → 77
Calls
4 calls:
5.0ms
(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
4.0ms
(* j (* 27.0 k))
4.0ms
(* y (* z t))
8.0ms
(* (* x 18.0) (* y (* z t)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
4.0ms
(* j (* 27.0 k))
6.0ms
(* y (* z t))
13.0ms
(* (* x 18.0) (* y (* z t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
06155832

prune143.0ms

Filtered
48 candidates to 89 candidates (-85.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New87289
Fresh178
Picked101
Done011
Total891099

Merged error: 0.0b

Counts
99 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
0.2b
(* x (* 18.0 y))
0.2b
(* j (* 27.0 k))
7.0b
(* (* x (* 18.0 y)) (* z t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-exp-log add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×associate-*r* *-commutative
2×associate-+r+
1×+-commutative distribute-rgt-in distribute-lft-in flip3-+ sum-log flip-+
Counts
4 → 77
Calls
4 calls:
5.0ms
(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
4.0ms
(* x (* 18.0 y))
4.0ms
(* j (* 27.0 k))
8.0ms
(* (* x (* 18.0 y)) (* z t))

series44.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
3.0ms
(* x (* 18.0 y))
3.0ms
(* j (* 27.0 k))
11.0ms
(* (* x (* 18.0 y)) (* z t))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04993838
14993838

prune80.0ms

Filtered
47 candidates to 89 candidates (-89.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New86389
Fresh178
Picked011
Done011
Total871299

Merged error: 0.0b

Counts
99 → 12

regimes2.3s

Accuracy

45.7% (3.1b remaining)

Error of 3.3b against oracle of 0.2b and baseline of 5.9b

bsearch10.5s

Steps
ItersRangePoint
9
1.1460855843549799e-98
1.5730533248484437e-92
8.946003820191139e-93
8
-1703141728.871192
-100667.8336212237
-65382219.7693659

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05967
15967

end0.0ms

analyze2.1s

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
688.0ms8000×body80valid
675.0ms7805×body80invalid

Profiling

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