Details

Time bar (total: 2.5s)

analyze552.0ms

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
1.0ms54×body80invalid

simplify7.0ms

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: 8.6b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

12.4b
(/ (* 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
05102191

prune46.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh011
Picked011
Done000
Total18826

Merged error: 0.0b

Counts
26 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

4.8b
(* a2 (/ a1 b1))
5.2b
(/ (* a2 (/ a1 b1)) b2)

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-/r*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 56
Calls
2 calls:
6.0ms
(* a2 (/ a1 b1))
5.0ms
(/ (* a2 (/ a1 b1)) b2)

series12.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05086447

prune64.0ms

Filtered
39 candidates to 62 candidates (-59.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New59362
Fresh336
Picked011
Done011
Total62870

Merged error: 0b

Counts
70 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
3.0b
(/ a1 (* b1 (cbrt b2)))
7.8b
(* (/ a2 (* (cbrt b2) (cbrt b2))) (/ a1 (* b1 (cbrt b2))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
16×add-sqr-sqrt prod-exp cbrt-unprod
14×cbrt-undiv div-exp
12×add-cube-cbrt *-un-lft-identity
10×times-frac
7×associate-*r* associate-*l*
6×pow1 cbrt-prod
4×add-log-exp
3×div-inv associate-/l*
2×pow1/3 unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
4.0ms
(/ a1 (* b1 (cbrt b2)))
11.0ms
(* (/ a2 (* (cbrt b2) (cbrt b2))) (/ a1 (* b1 (cbrt b2))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt b2)
21.0ms
(cbrt b2)
16.0ms
(/ a1 (* b1 (cbrt b2)))
13.0ms
(* (/ a2 (* (cbrt b2) (cbrt b2))) (/ a1 (* b1 (cbrt b2))))

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04922778
14922778

prune82.0ms

Filtered
65 candidates to 101 candidates (-55.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh055
Picked011
Done022
Total1018109

Merged error: 0b

Counts
109 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

4.3b
(* b1 (/ b2 a2))
6.6b
(/ 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)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* b1 (/ b2 a2))
9.0ms
(/ a1 (* b1 (/ b2 a2)))

simplify47.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05030450

prune46.0ms

Filtered
41 candidates to 62 candidates (-51.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done033
Total62870

Merged error: 0b

Counts
70 → 8

regimes764.0ms

Accuracy

74.5% (2.8b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 11.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02875
12875

end0.0ms

sample502.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid
49.0ms1899×body80invalid

Profiling

Loading profile data...