Details

Time bar (total: 2.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms331×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.5b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

12.1b
(/ (* 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:
6.0ms
(/ (* a1 a2) (* b1 b2))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune41.0ms

Filtered
24 candidates to 13 candidates (54.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New19524
Fresh000
Picked011
Done000
Total19625

Merged error: 0.1b

Counts
25 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ a1 (/ (* b1 b2) a2))
5.8b
(/ (* b1 b2) a2)

rewrite13.0ms

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*
cbrt-undiv div-exp
div-inv
associate-/l*
pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
associate-/r/
Counts
2 → 69
Calls
2 calls:
6.0ms
(/ a1 (/ (* b1 b2) a2))
5.0ms
(/ (* b1 b2) a2)

series53.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ a1 (/ (* b1 b2) a2))
19.0ms
(/ (* b1 b2) a2)

simplify39.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0292397
11409353
25002350

prune138.0ms

Filtered
75 candidates to 56 candidates (74.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New71475
Fresh224
Picked101
Done011
Total74781

Merged error: 0.0b

Counts
81 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ a1 (/ b1 (/ a2 b2)))
4.8b
(/ b1 (/ a2 b2))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
22×div-inv
16×add-exp-log add-cbrt-cube
cbrt-undiv div-exp
associate-/r/ associate-/l*
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 266
Calls
2 calls:
17.0ms
(/ a1 (/ b1 (/ a2 b2)))
6.0ms
(/ b1 (/ a2 b2))

series48.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ a1 (/ b1 (/ a2 b2)))
20.0ms
(/ b1 (/ a2 b2))

simplify59.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010582365
150012269

prune574.0ms

Filtered
272 candidates to 233 candidates (85.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2702272
Fresh235
Picked011
Done011
Total2727279

Merged error: 0b

Counts
279 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

4.4b
(* (/ b1 a2) b2)
4.7b
(/ a1 (* (/ b1 a2) b2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
cbrt-undiv div-exp
pow1 prod-exp cbrt-unprod
associate-*r* associate-/l*
associate-*l/ div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 56
Calls
2 calls:
6.0ms
(* (/ b1 a2) b2)
6.0ms
(/ a1 (* (/ b1 a2) b2))

series52.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* (/ b1 a2) b2)
32.0ms
(/ a1 (* (/ b1 a2) b2))

simplify32.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0251262
11116218
25002216

prune81.0ms

Filtered
62 candidates to 41 candidates (66.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done022
Total62769

Merged error: 0b

Counts
69 → 7

regimes282.0ms

Accuracy

75.9% (2.6b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 10.9b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02827
12827

end0.0ms

sample539.0ms

Algorithm
intervals
Results
289.0ms10028×body80valid