Details

Time bar (total: 3.5s)

analyze787.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
5.8%94%0.2%9
7.6%92.2%0.2%10
11.6%88.2%0.2%11
18.5%81.3%0.2%12
32.3%66.9%0.8%13
37%62.2%0.8%14

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms55×body80invalid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
049735
149735

prune11.0ms

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: 8.3b

Counts
2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

8.0b
(* x (/ y z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (/ y z))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (/ y z))

simplify36.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05166230

prune72.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New26935
Fresh101
Picked011
Done000
Total271037

Merged error: 0.0b

Counts
37 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv associate-*r/ div-exp
1×associate-*r* *-commutative
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
10.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
23.0ms
(cbrt z)
21.0ms
(cbrt z)
25.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04963395
14963395

prune86.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh178
Picked101
Done011
Total69978

Merged error: 0.0b

Counts
78 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.3b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
16.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
21.0ms
(cbrt z)
22.0ms
(cbrt z)
10.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04945758
14945758

prune110.0ms

Filtered
72 candidates to 104 candidates (-44.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh257
Picked011
Done011
Total1058113

Merged error: 0b

Counts
113 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (* x y) z)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
4.0ms
(/ (* x y) z)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (* x y) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04803149
14803149

prune16.0ms

Filtered
12 candidates to 24 candidates (-100.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New23124
Fresh145
Picked011
Done112
Total25732

Merged error: 0b

Counts
32 → 7

regimes439.0ms

Accuracy

92.7% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02945
12945

end0.0ms

analyze776.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
5.8%94%0.2%9
7.6%92.2%0.2%10
11.6%88.2%0.2%11
18.5%81.3%0.2%12
32.3%66.9%0.8%13
37%62.2%0.8%14

sample589.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid
50.0ms1520×body80invalid

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