Details

Time bar (total: 3.2s)

analyze578.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms66×body80invalid

simplify8.0ms

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: 13.3b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

12.9b
(/ (* 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:
6.0ms
(/ (* a1 a2) (* b1 b2))

series8.0ms

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

simplify30.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune40.0ms

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 1 expressions with local error:

10.3b
(* (/ 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:
9.0ms
(* (/ a1 b1) (/ a2 b2))

series9.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0319278
11415243
25001242

prune80.0ms

Filtered
38 candidates to 53 candidates (-39.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh055
Picked011
Done101
Total491160

Merged error: 0.0b

Counts
60 → 11

localize5.0ms

Local error

Found 2 expressions with local error:

5.9b
(* a1 (/ (/ a2 b2) b1))
5.9b
(/ (/ a2 b2) b1)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 135
Calls
2 calls:
13.0ms
(* a1 (/ (/ a2 b2) b1))
6.0ms
(/ (/ a2 b2) b1)

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* a1 (/ (/ a2 b2) b1))
8.0ms
(/ (/ a2 b2) b1)

simplify58.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0547833
12544781
25002781

prune136.0ms

Filtered
113 candidates to 141 candidates (-24.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1383141
Fresh279
Picked011
Done011
Total14012152

Merged error: 0b

Counts
152 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
1.4b
(/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))
2.4b
(* a1 (/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
98×add-exp-log
46×add-cbrt-cube
37×prod-exp cbrt-unprod
36×cbrt-undiv div-exp
16×add-sqr-sqrt times-frac
11×add-cube-cbrt *-un-lft-identity
9×associate-*r*
6×pow1 cbrt-prod
5×div-inv associate-/l*
4×add-log-exp
3×associate-*l* unswap-sqr
2×pow1/3
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 111
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
12.0ms
(/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))
17.0ms
(* a1 (/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt b2)
21.0ms
(cbrt b2)
41.0ms
(/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))
48.0ms
(* a1 (/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1))))

simplify71.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06121595
127761210
250011076

prune86.0ms

Filtered
70 candidates to 123 candidates (-75.7%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh099
Picked011
Done022
Total12312135

Merged error: 0b

Counts
135 → 12

regimes693.0ms

Accuracy

0% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01818
11818

end0.0ms

analyze559.0ms

Algorithm
search

sample566.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid
63.0ms1938×body80invalid

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