Details

Time bar (total: 3.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms307×body80valid

simplify8.0ms

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: 10.6b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

10.3b
(/ (* 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))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune39.0ms

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: 0.0b

Counts
25 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* b1 b2) a2)
6.1b
(/ a1 (/ (* b1 b2) a2))

rewrite17.0ms

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:
4.0ms
(/ (* b1 b2) a2)
10.0ms
(/ a1 (/ (* b1 b2) a2))

series49.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* b1 b2) a2)
31.0ms
(/ a1 (/ (* b1 b2) a2))

simplify38.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0292397
11409353
25002350

prune135.0ms

Filtered
75 candidates to 56 candidates (74.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New71475
Fresh224
Picked011
Done011
Total73881

Merged error: 0b

Counts
81 → 8

localize9.0ms

Local error

Found 1 expressions with local error:

10.3b
(/ (/ a1 b1) (/ b2 a2))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
421×times-frac
197×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
29×div-inv
13×add-exp-log associate-/r* add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 215
Calls
1 calls:
11.0ms
(/ (/ a1 b1) (/ b2 a2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (/ a1 b1) (/ b2 a2))

simplify56.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
012682180
150022110

prune485.0ms

Filtered
218 candidates to 178 candidates (81.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2171218
Fresh145
Picked011
Done022
Total2188226

Merged error: 0b

Counts
226 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a2)
0.5b
(cbrt a2)
1.7b
(/ a1 (/ b2 (cbrt a2)))
8.6b
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
171×add-sqr-sqrt
145×add-cube-cbrt *-un-lft-identity
71×cbrt-prod associate-*r*
45×add-exp-log
35×add-cbrt-cube
22×associate-/r*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
6×pow1
4×add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 244
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
12.0ms
(/ a1 (/ b2 (cbrt a2)))
30.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

series492.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt a2)
180.0ms
(cbrt a2)
83.0ms
(/ a1 (/ b2 (cbrt a2)))
55.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

simplify46.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010882365
150022058

prune684.0ms

Filtered
256 candidates to 222 candidates (86.7%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2560256
Fresh044
Picked011
Done033
Total2568264

Merged error: 0b

Counts
264 → 8

regimes372.0ms

Accuracy

79.5% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 11.4b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03933
13933

end0.0ms

sample526.0ms

Algorithm
intervals
Results
279.0ms9910×body80valid