Details

Time bar (total: 4.5s)

analyze1.2s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 3.606467%

Guaranteed chance to sample good point: 59.643579%

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms53×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

10.8b
(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
5.0ms
(/ (* a1 a2) (* b1 b2))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune46.0ms

Filtered
13 candidates to 24 candidates (-84.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725

Merged error: 0.1b

Counts
25 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

5.0b
(/ a1 (/ (* b1 b2) a2))
6.1b
(/ (* b1 b2) a2)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ a1 (/ (* b1 b2) a2))
4.0ms
(/ (* b1 b2) a2)

series13.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ a1 (/ (* b1 b2) a2))
5.0ms
(/ (* b1 b2) a2)

simplify37.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0292397
11409353
25001350

prune84.0ms

Filtered
55 candidates to 75 candidates (-36.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New70575
Fresh325
Picked101
Done011
Total74882

Merged error: 0.0b

Counts
82 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b
(* b1 (/ b2 a2))
5.0b
(/ a1 (* b1 (/ b2 a2)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 56
Calls
2 calls:
6.0ms
(* b1 (/ b2 a2))
5.0ms
(/ a1 (* b1 (/ b2 a2)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* b1 (/ b2 a2))
9.0ms
(/ a1 (* b1 (/ b2 a2)))

simplify35.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0260266
11298223
25001222

prune60.0ms

Filtered
38 candidates to 62 candidates (-63.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh066
Picked011
Done011
Total62870

Merged error: 0.0b

Counts
70 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

5.3b
(* a1 (/ a2 (* b1 b2)))
6.1b
(/ a2 (* b1 b2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
6.0ms
(* a1 (/ a2 (* b1 b2)))
4.0ms
(/ a2 (* b1 b2))

series14.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* a1 (/ a2 (* b1 b2)))
5.0ms
(/ a2 (* b1 b2))

simplify29.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0193227
1941184
25001184

prune35.0ms

Filtered
34 candidates to 54 candidates (-58.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New53154
Fresh055
Picked011
Done022
Total53962

Merged error: 0.0b

Counts
62 → 9

regimes792.0ms

Accuracy

73% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 10.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03732
13732

end0.0ms

analyze1.4s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 3.606467%

Guaranteed chance to sample good point: 59.643579%

sample529.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid
44.0ms1616×body80invalid

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