Details

Time bar (total: 3.0s)

analyze556.0ms

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

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms49×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0677
1677

prune10.0ms

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: 6.6b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

10.2b
(/ (* 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))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (* a1 a2) (* b1 b2))

simplify61.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
06549191

prune46.0ms

Filtered
14 candidates to 24 candidates (-71.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New18624
Fresh011
Picked101
Done000
Total19726

Merged error: 0.0b

Counts
26 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

10.2b
(* (/ a1 b1) (/ a2 b2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
10.0ms
(* (/ a1 b1) (/ a2 b2))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (/ a1 b1) (/ a2 b2))

simplify46.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05239471

prune71.0ms

Filtered
37 candidates to 53 candidates (-43.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New49453
Fresh066
Picked011
Done000
Total491160

Merged error: 0b

Counts
60 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt a1)
0.7b
(cbrt a1)
3.0b
(* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b1))) (* (/ a2 b2) (/ (cbrt a1) (cbrt b1))))
3.4b
(* (/ a2 b2) (/ (cbrt a1) (cbrt b1)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
146×add-exp-log
82×add-cbrt-cube
72×add-sqr-sqrt
69×prod-exp cbrt-unprod
59×times-frac
50×cbrt-prod
44×cbrt-undiv div-exp
41×associate-*r*
39×add-cube-cbrt *-un-lft-identity
18×associate-*l*
11×pow1
10×unswap-sqr
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 178
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
20.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b1))) (* (/ a2 b2) (/ (cbrt a1) (cbrt b1))))
19.0ms
(* (/ a2 b2) (/ (cbrt a1) (cbrt b1)))

series73.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt a1)
22.0ms
(cbrt a1)
8.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b1))) (* (/ a2 b2) (/ (cbrt a1) (cbrt b1))))
18.0ms
(* (/ a2 b2) (/ (cbrt a1) (cbrt b1)))

simplify92.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049431778
149431778

prune133.0ms

Filtered
105 candidates to 190 candidates (-81.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1900190
Fresh099
Picked011
Done011
Total19011201

Merged error: 0b

Counts
201 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (* b2 (/ b1 (* a1 a2))))
5.7b
(* b2 (/ b1 (* a1 a2)))
5.7b
(/ b1 (* a1 a2))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
31×add-cbrt-cube
18×div-exp
17×prod-exp
12×add-sqr-sqrt
10×cbrt-undiv add-cube-cbrt *-un-lft-identity
9×times-frac cbrt-unprod
8×pow1
7×associate-*r*
6×associate-/l*
4×rec-exp 1-exp
3×associate-*l* div-inv add-log-exp
2×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num associate-/r*
1×associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 85
Calls
3 calls:
7.0ms
(/ 1 (* b2 (/ b1 (* a1 a2))))
6.0ms
(* b2 (/ b1 (* a1 a2)))
4.0ms
(/ b1 (* a1 a2))

series23.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (* b2 (/ b1 (* a1 a2))))
10.0ms
(* b2 (/ b1 (* a1 a2)))
5.0ms
(/ b1 (* a1 a2))

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04980693
14980693

prune63.0ms

Filtered
53 candidates to 94 candidates (-77.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New91394
Fresh538
Picked101
Done112
Total987105

Merged error: 0b

Counts
105 → 7

regimes562.0ms

Accuracy

54.4% (5.4b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 11.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03763
13763

end0.0ms

analyze538.0ms

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

sample499.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
50.0ms1870×body80invalid

Profiling

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