Details

Time bar (total: 3.8s)

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
1.8%98%0.3%13
2.4%97.3%0.3%14

sample36.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
5.0ms121×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08013
18013

prune12.0ms

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: 0.0b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
3.0b
(* (* a z) b)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
3.0ms
(+ x (* y z))
5.0ms
(+ (+ x (* y z)) (* t a))
8.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(* (* a z) b)

series52.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ x (* y z))
14.0ms
(+ (+ x (* y z)) (* t a))
27.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(* (* a z) b)

simplify20.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
05328695

prune80.0ms

Filtered
50 candidates to 68 candidates (-36.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New65368
Fresh011
Picked011
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt b)
0.5b
(cbrt b)
0.7b
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
3.1b
(* a (* z (* (cbrt b) (cbrt b))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×associate-*l* add-log-exp
2×pow1/3 *-commutative
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
11.0ms
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
8.0ms
(* a (* z (* (cbrt b) (cbrt b))))

series74.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt b)
22.0ms
(cbrt b)
8.0ms
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
24.0ms
(* a (* z (* (cbrt b) (cbrt b))))

simplify86.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04935474
14935474

prune72.0ms

Filtered
47 candidates to 82 candidates (-74.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done011
Total82587

Merged error: 0.0b

Counts
87 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (+ (* y z) (* a (+ t (* z b)))))
0.0b
(+ (* y z) (* a (+ t (* z b))))
2.0b
(* a (+ t (* z b)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt *-un-lft-identity
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
5×sum-log
4×flip3-+ flip-+
3×+-commutative associate-+r+ associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 60
Calls
4 calls:
3.0ms
(+ t (* z b))
5.0ms
(+ x (+ (* y z) (* a (+ t (* z b)))))
6.0ms
(+ (* y z) (* a (+ t (* z b))))
5.0ms
(* a (+ t (* z b)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ t (* z b))
25.0ms
(+ x (+ (* y z) (* a (+ t (* z b)))))
15.0ms
(+ (* y z) (* a (+ t (* z b))))
12.0ms
(* a (+ t (* z b)))

simplify42.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05132807

prune89.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69372
Fresh112
Picked011
Done112
Total71677

Merged error: 0.0b

Counts
77 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

2.0b
(* a (+ t (* z b)))
2.0b
(* a (+ t (* z b)))
4.4b
(sqrt (* a (+ t (* z b))))
4.4b
(sqrt (* a (+ t (* z b))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
12×add-sqr-sqrt
8×add-exp-log add-cube-cbrt *-un-lft-identity associate-*r/ add-cbrt-cube
6×associate-*r* associate-*l*
4×sqrt-pow1 flip3-+ sqrt-div pow-prod-down flip-+ add-log-exp
2×distribute-rgt-in distribute-lft-in pow1/2 prod-exp sqrt-prod *-commutative cbrt-unprod unswap-sqr
Counts
4 → 70
Calls
4 calls:
5.0ms
(* a (+ t (* z b)))
5.0ms
(* a (+ t (* z b)))
4.0ms
(sqrt (* a (+ t (* z b))))
4.0ms
(sqrt (* a (+ t (* z b))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* a (+ t (* z b)))
12.0ms
(* a (+ t (* z b)))
52.0ms
(sqrt (* a (+ t (* z b))))
38.0ms
(sqrt (* a (+ t (* z b))))

simplify26.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05026766

prune73.0ms

Filtered
60 candidates to 82 candidates (-36.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done022
Total82688

Merged error: 0.0b

Counts
88 → 6

regimes573.0ms

Accuracy

31.8% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch32.0ms

Steps
ItersRangePoint
9
-3.0305237674487337e+139
-1.3073393031697538e+134
-3.4874640820130973e+134

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03332
13332

end0.0ms

sample915.0ms

Algorithm
intervals
Results
357.0ms8000×body80valid
165.0ms3820×body80invalid

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