Details

Time bar (total: 8.8s)

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

sample86.0ms

Algorithm
intervals
Results
25.0ms241×body80invalid
21.0ms256×body80valid

simplify163.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (161.0ms)

IterNodesCost
0540229

prune22.0ms

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

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.3b
(* 18.0 (* y (* z t)))
6.6b
(* x (* 18.0 (* y (* z t))))
6.7b
(* y (* z t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
4.0ms
(* j (* 27.0 k))
6.0ms
(* 18.0 (* y (* z t)))
8.0ms
(* x (* 18.0 (* y (* z t))))
5.0ms
(* y (* z t))

series26.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05046670

prune170.0ms

Filtered
53 candidates to 93 candidates (-75.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New86793
Fresh011
Picked101
Done000
Total87895

Merged error: 0.0b

Counts
95 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.2b
(* z (* t (cbrt y)))
3.4b
(* (* (cbrt y) (cbrt y)) (* z (* t (cbrt y))))
6.6b
(* x (* 18.0 (* (* (cbrt y) (cbrt y)) (* z (* t (cbrt y))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
68×pow1 add-exp-log
51×add-cbrt-cube
48×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
add-log-exp
cbrt-prod associate-*r* *-commutative
pow1/3
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt y)
5.0ms
(* z (* t (cbrt y)))
11.0ms
(* (* (cbrt y) (cbrt y)) (* z (* t (cbrt y))))
16.0ms
(* x (* 18.0 (* (* (cbrt y) (cbrt y)) (* z (* t (cbrt y))))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
17.0ms
(* z (* t (cbrt y)))
13.0ms
(* (* (cbrt y) (cbrt y)) (* z (* t (cbrt y))))
15.0ms
(* x (* 18.0 (* (* (cbrt y) (cbrt y)) (* z (* t (cbrt y))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05296747

prune145.0ms

Filtered
52 candidates to 105 candidates (-101.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh077
Picked011
Done000
Total1058113

Merged error: 0.0b

Counts
113 → 8

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))
6.7b
(* (* x 18.0) (* y (* z t)))
6.7b
(* y (* z t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-exp-log add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
associate-*r* *-commutative
associate-+r+
+-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))))
5.0ms
(* j (* 27.0 k))
8.0ms
(* (* x 18.0) (* y (* z t)))
5.0ms
(* y (* z t))

series47.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
3.0ms
(* j (* 27.0 k))
11.0ms
(* (* x 18.0) (* y (* z t)))
6.0ms
(* y (* z t))

simplify39.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05035832

prune145.0ms

Filtered
49 candidates to 89 candidates (-81.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New88189
Fresh066
Picked101
Done011
Total89897

Merged error: 0.0b

Counts
97 → 8

localize24.0ms

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))
6.4b
(* (* x 18.0) (* z t))
6.5b
(* y (* (* x 18.0) (* z t)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
39×pow1 add-exp-log add-cbrt-cube
24×pow-prod-down prod-exp cbrt-unprod
associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
associate-*r* *-commutative
associate-+r+
+-commutative distribute-rgt-in distribute-lft-in flip3-+ sum-log flip-+
Counts
4 → 80
Calls
4 calls:
5.0ms
(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
4.0ms
(* j (* 27.0 k))
6.0ms
(* (* x 18.0) (* z t))
9.0ms
(* y (* (* x 18.0) (* z t)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))
4.0ms
(* j (* 27.0 k))
6.0ms
(* (* x 18.0) (* z t))
11.0ms
(* y (* (* x 18.0) (* z t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
06314894

prune114.0ms

Filtered
51 candidates to 92 candidates (-80.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91192
Fresh066
Picked011
Done101
Total928100

Merged error: 0.0b

Counts
100 → 8

regimes2.7s

Accuracy

87.4% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 4.7b

bsearch1.0ms

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0408129
1408129

end0.0ms

sample2.5s

Algorithm
intervals
Results
773.0ms8291×body80invalid
756.0ms8000×body80valid

Profiling

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