Details

Time bar (total: 6.3s)

sample2.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.393555%

Guaranteed chance to sample good point: 51.036138%

Results
7.0ms256×body80valid
1.0ms48×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.9b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

13.5b
(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
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

prune41.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New19524
Fresh000
Picked101
Done000
Total20525

Merged error: 0.1b

Counts
25 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

8.9b
(* (/ a1 b1) (/ a2 b2))

rewrite14.0ms

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
cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
pow1
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
12.0ms
(* (/ a1 b1) (/ a2 b2))

series8.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0319278
11415243
25001242

prune98.0ms

Filtered
39 candidates to 53 candidates (-35.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh044
Picked011
Done000
Total471158

Merged error: 0b

Counts
58 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

3.0b
(* (/ a1 b1) a2)
5.5b
(* (* (/ a1 b1) a2) (/ 1 b2))

rewrite20.0ms

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-*r*
14×associate-*l*
12×cbrt-unprod
11×div-exp
pow1
cbrt-undiv
pow-prod-down associate-*l/
rec-exp 1-exp
*-commutative div-inv add-log-exp unswap-sqr
frac-times associate-*r/ un-div-inv
Counts
2 → 78
Calls
2 calls:
6.0ms
(* (/ a1 b1) a2)
9.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

series13.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0402410
12166322
25001297

prune108.0ms

Filtered
46 candidates to 84 candidates (-82.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh189
Picked101
Done011
Total851095

Merged error: 0b

Counts
95 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
4.6b
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))
5.0b
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
31×add-sqr-sqrt
26×times-frac
23×add-cube-cbrt *-un-lft-identity
22×associate-*r*
17×prod-exp cbrt-unprod
16×cbrt-prod
13×cbrt-undiv div-exp
associate-*l*
pow1
add-log-exp
associate-/r* div-inv unswap-sqr
pow1/3
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 105
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
17.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))
9.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)

series90.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt a2)
22.0ms
(cbrt a2)
13.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))
30.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)

simplify73.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05961006
13174830
25001766

prune93.0ms

Filtered
82 candidates to 117 candidates (-42.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh088
Picked011
Done011
Total11710127

Merged error: 0b

Counts
127 → 10

regimes917.0ms

Accuracy

49.3% (5.5b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 10.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04441
14441

end0.0ms

sample2.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.393555%

Guaranteed chance to sample good point: 51.036138%

Results
247.0ms8000×body80valid
52.0ms1674×body80invalid

Profiling

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