Details

Time bar (total: 4.2s)

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

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
6.0ms137×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08013
18013

prune13.0ms

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

localize10.0ms

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))
5.7b
(* (* a z) b)

rewrite22.0ms

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))
6.0ms
(+ (+ x (* y z)) (* t a))
8.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(* (* a z) b)

series54.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ x (* y z))
14.0ms
(+ (+ x (* y z)) (* t a))
28.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(* (* a z) b)

simplify21.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05328695

prune91.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh011
Picked011
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.4b
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
3.6b
(* 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))
9.0ms
(* a (* z (* (cbrt b) (cbrt b))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt b)
21.0ms
(cbrt b)
11.0ms
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
25.0ms
(* a (* z (* (cbrt b) (cbrt b))))

simplify87.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04935474
14935474

prune82.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh134
Picked101
Done011
Total83588

Merged error: 0.0b

Counts
88 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.4b
(* (* a (* z (* (cbrt b) (cbrt b)))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
3.6b
(* a (* z (* (cbrt b) (cbrt b))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
67×pow1 add-exp-log
48×pow-prod-down prod-exp cbrt-unprod
43×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×associate-*l* add-log-exp
2×pow1/3 associate-*r* *-commutative
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
22.0ms
(* (* a (* z (* (cbrt b) (cbrt b)))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
9.0ms
(* a (* z (* (cbrt b) (cbrt b))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt b)
21.0ms
(cbrt b)
9.0ms
(* (* a (* z (* (cbrt b) (cbrt b)))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
27.0ms
(* a (* z (* (cbrt b) (cbrt b))))

simplify53.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05059573

prune79.0ms

Filtered
45 candidates to 101 candidates (-124.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh033
Picked011
Done011
Total1015106

Merged error: 0.0b

Counts
106 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ (* y z) (* a (+ t (* z b))))
0.0b
(+ x (+ (* y z) (* a (+ t (* z b)))))
3.7b
(* a (+ t (* z b)))

rewrite18.0ms

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))
4.0ms
(+ (* y z) (* a (+ t (* z b))))
5.0ms
(+ x (+ (* y z) (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ t (* z b))
18.0ms
(+ (* y z) (* a (+ t (* z b))))
26.0ms
(+ x (+ (* y z) (* a (+ t (* z b)))))
13.0ms
(* a (+ t (* z b)))

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05132807

prune72.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New69372
Fresh112
Picked011
Done022
Total70777

Merged error: 0.0b

Counts
77 → 7

regimes670.0ms

Accuracy

63.5% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.1b

bsearch43.0ms

Steps
ItersRangePoint
7
1.4616891532192873e-123
5.76348595859907e-122
4.868649893543251e-122
7
-1.7539533543280405e+122
-2.1041927449658497e+120
-6.521478695897989e+120

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05067
15067

end0.0ms

sample1.1s

Algorithm
intervals
Results
584.0ms8000×body80valid
170.0ms3761×body80invalid

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