Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
9.0ms307×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: 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 expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
6.0ms
(/ (* a1 a2) (* b1 b2))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (* a1 a2) (* b1 b2))

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune48.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New21526
Fresh000
Picked011
Done000
Total21627

Merged error: 0.0b

Counts
27 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* b1 b2) a2)
6.1b
(/ a1 (/ (* 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*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
4.0ms
(/ (* b1 b2) a2)
6.0ms
(/ a1 (/ (* b1 b2) a2))

series50.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* b1 b2) a2)
32.0ms
(/ a1 (/ (* b1 b2) a2))

simplify39.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296411
11413367
25001364

prune147.0ms

Filtered
79 candidates to 60 candidates (75.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New75479
Fresh224
Picked011
Done011
Total77885

Merged error: 0b

Counts
85 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 217
Calls
1 calls:
10.0ms
(/ (/ a1 b1) (/ b2 a2))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (/ a1 b1) (/ b2 a2))

simplify52.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012702188
150012118

prune478.0ms

Filtered
220 candidates to 180 candidates (81.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2191220
Fresh145
Picked011
Done022
Total2208228

Merged error: 0b

Counts
228 → 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))))

rewrite54.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 252
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
7.0ms
(/ a1 (/ b2 (cbrt a2)))
31.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

series506.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a2)
179.0ms
(cbrt a2)
84.0ms
(/ a1 (/ b2 (cbrt a2)))
61.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

simplify58.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010942399
150012092

prune712.0ms

Filtered
264 candidates to 230 candidates (87.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2640264
Fresh044
Picked011
Done033
Total2648272

Merged error: 0b

Counts
272 → 8

regimes395.0ms

Accuracy

79.5% (2.3b remaining)

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

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03933
13933

end0.0ms

sample524.0ms

Algorithm
intervals
Results
276.0ms9910×body80valid