Details

Time bar (total: 2.7s)

analyze709.0ms

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
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14

sample25.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms61×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
03267
13267

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: 8.0b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

12.0b
(/ (* 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))

simplify46.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05053191

prune48.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New19524
Fresh011
Picked011
Done000
Total19726

Merged error: 0.0b

Counts
26 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

4.4b
(* b1 (/ b2 a2))
6.4b
(/ 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)))

series14.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05043450

prune76.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New58462
Fresh325
Picked011
Done011
Total61869

Merged error: 0b

Counts
69 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
2.0b
(* a2 (/ (cbrt a1) b2))
6.7b
(* (* (cbrt a1) (/ (cbrt a1) b1)) (* a2 (/ (cbrt a1) b2)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
28×add-sqr-sqrt
23×associate-*r* prod-exp cbrt-unprod
20×add-cube-cbrt *-un-lft-identity times-frac
18×pow1
16×cbrt-prod
9×pow-prod-down
7×cbrt-undiv div-exp
6×associate-*r/
4×associate-*l* add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative
1×frac-times associate-*l/ div-inv
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
8.0ms
(* a2 (/ (cbrt a1) b2))
11.0ms
(* (* (cbrt a1) (/ (cbrt a1) b1)) (* a2 (/ (cbrt a1) b2)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a1)
22.0ms
(cbrt a1)
22.0ms
(* a2 (/ (cbrt a1) b2))
13.0ms
(* (* (cbrt a1) (/ (cbrt a1) b1)) (* a2 (/ (cbrt a1) b2)))

simplify54.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04995763
14995763

prune105.0ms

Filtered
67 candidates to 111 candidates (-65.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh055
Picked011
Done022
Total1118119

Merged error: 0b

Counts
119 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

3.7b
(* a1 (/ a2 b2))
6.6b
(* (/ 1 b1) (* a1 (/ a2 b2)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
16×associate-*l*
14×associate-*r*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×associate-*r/ pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×frac-times associate-*l/
Counts
2 → 77
Calls
2 calls:
6.0ms
(* a1 (/ a2 b2))
9.0ms
(* (/ 1 b1) (* a1 (/ a2 b2)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* a1 (/ a2 b2))
8.0ms
(* (/ 1 b1) (* a1 (/ a2 b2)))

simplify58.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04962612
14962612

prune68.0ms

Filtered
47 candidates to 83 candidates (-76.6%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh044
Picked011
Done033
Total83891

Merged error: 0b

Counts
91 → 8

regimes704.0ms

Accuracy

76.3% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 10.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011871
111871

end0.0ms

sample552.0ms

Algorithm
intervals
Results
238.0ms8000×body80valid
56.0ms1903×body80invalid

Profiling

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