Details

Time bar (total: 4.4s)

analyze584.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms78×body80invalid

simplify7.0ms

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: 11.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

11.0b
(/ (* a1 a2) (* b1 b2))

rewrite7.0ms

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))

series9.0ms

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

simplify27.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune47.0ms

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: 0.0b

Counts
25 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

5.4b
(/ a1 (/ (* b1 b2) a2))
5.5b
(/ (* b1 b2) a2)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ a1 (/ (* b1 b2) a2))
4.0ms
(/ (* b1 b2) a2)

series14.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0292397
11409353
25001350

prune102.0ms

Filtered
56 candidates to 75 candidates (-33.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New68775
Fresh325
Picked101
Done011
Total721082

Merged error: 0b

Counts
82 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
1.2b
(/ (cbrt a1) (/ b2 (cbrt a2)))
3.2b
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
5.8b
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
572×times-frac
344×add-sqr-sqrt
272×add-cube-cbrt *-un-lft-identity
270×cbrt-prod
138×add-exp-log
137×associate-*r*
74×add-cbrt-cube
64×cbrt-undiv div-exp
41×prod-exp cbrt-unprod
29×associate-/r*
21×unswap-sqr
20×div-inv
12×associate-*l*
7×associate-/l*
6×pow1
4×associate-/r/ add-log-exp
2×frac-2neg clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 448
Calls
4 calls:
1.0ms
(cbrt a2)
12.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
10.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
53.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a2)
22.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
42.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
14.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

simplify89.0ms

Algorithm
egg-herbie
Counts
460 → 460
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
020526484
150016103

prune437.0ms

Filtered
392 candidates to 460 candidates (-17.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New4600460
Fresh088
Picked011
Done011
Total46010470

Merged error: 0b

Counts
470 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
1.7b
(/ (cbrt a1) (/ b2 a2))
7.8b
(* (/ (cbrt a1) (/ b1 (cbrt a1))) (/ (cbrt a1) (/ b2 a2)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
605×times-frac
437×add-sqr-sqrt
275×add-cube-cbrt *-un-lft-identity
246×cbrt-prod
137×associate-*l*
83×associate-*r*
45×add-exp-log
35×unswap-sqr
28×add-cbrt-cube
22×div-inv
21×cbrt-undiv div-exp
13×associate-/r*
9×prod-exp cbrt-unprod
6×pow1 associate-/l*
4×add-log-exp
3×associate-/r/
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 419
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
7.0ms
(/ (cbrt a1) (/ b2 a2))
142.0ms
(* (/ (cbrt a1) (/ b1 (cbrt a1))) (/ (cbrt a1) (/ b2 a2)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a1)
21.0ms
(cbrt a1)
29.0ms
(/ (cbrt a1) (/ b2 a2))
19.0ms
(* (/ (cbrt a1) (/ b1 (cbrt a1))) (/ (cbrt a1) (/ b2 a2)))

simplify72.0ms

Algorithm
egg-herbie
Counts
431 → 431
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016774559
150014454

prune413.0ms

Filtered
389 candidates to 431 candidates (-10.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New4310431
Fresh077
Picked011
Done022
Total43110441

Merged error: 0b

Counts
441 → 10

regimes887.0ms

Accuracy

72.4% (2.4b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 8.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03847
14147
24447
34447

end0.0ms

analyze565.0ms

Algorithm
search

sample546.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid
53.0ms1806×body80invalid

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