Details

Time bar (total: 6.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune3.0ms

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: 11.0b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

10.6b
(/ (* a1 a2) (* b1 b2))

rewrite11.0ms

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

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (* a1 a2) (* b1 b2))

simplify45.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0162132
193897
2500197

prune79.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20626
Fresh000
Picked011
Done000
Total20727

Merged error: 0.0b

Counts
27 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

3.8b
(/ (* b1 b2) a2)
7.3b
(/ a1 (/ (* b1 b2) a2))

rewrite20.0ms

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:
7.0ms
(/ (* b1 b2) a2)
10.0ms
(/ a1 (/ (* b1 b2) a2))

series50.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296411
11413367
25001364

prune144.0ms

Filtered
79 candidates to 59 candidates (74.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New73679
Fresh415
Picked011
Done011
Total77986

Merged error: 0.0b

Counts
86 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
1.8b
(/ (cbrt a1) (/ b2 (cbrt a2)))
3.1b
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
4.7b
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

rewrite115.0ms

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×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 456
Calls
4 calls:
1.0ms
(cbrt a2)
9.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
10.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
60.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(cbrt a2)
100.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
138.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
61.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

simplify98.0ms

Algorithm
egg-herbie
Counts
468 → 468
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
020556519
150025869

prune1.5s

Filtered
468 candidates to 403 candidates (86.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4671468
Fresh066
Picked101
Done022
Total4689477

Merged error: 0.0b

Counts
477 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
1.4b
(* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2))))
1.8b
(/ (cbrt a1) (/ b2 (cbrt a2)))
4.7b
(* (* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
516×times-frac
278×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
264×cbrt-prod
138×add-exp-log associate-*r*
70×add-cbrt-cube
69×prod-exp cbrt-unprod
36×cbrt-undiv div-exp
27×pow1
23×associate-*l*
22×associate-/r*
16×pow-prod-down div-inv
6×associate-/l*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
2×associate-/r/ *-commutative
1×frac-times frac-2neg pow1/3 associate-*r/ clear-num
Counts
4 → 436
Calls
4 calls:
1.0ms
(cbrt a2)
14.0ms
(* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2))))
9.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
42.0ms
(* (* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

series482.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a2)
134.0ms
(* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2))))
106.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
61.0ms
(* (* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

simplify90.0ms

Algorithm
egg-herbie
Counts
448 → 448
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
019285888
150025205

prune1.7s

Filtered
448 candidates to 391 candidates (87.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4480448
Fresh066
Picked011
Done022
Total4489457

Merged error: 0.0b

Counts
457 → 9

regimes345.0ms

Accuracy

64.5% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 7.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03937
14237
24537
34537

end0.0ms

sample547.0ms

Algorithm
intervals
Results
290.0ms10086×body80valid