Details

Time bar (total: 2.7s)

sample19.0ms

Algorithm
intervals
Results
8.0ms319×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: 11.9b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

11.6b
(/ (* 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:
5.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* a1 a2) (* b1 b2))

simplify26.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune44.0ms

Filtered
24 candidates to 13 candidates (54.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New16824
Fresh000
Picked011
Done000
Total16925

Merged error: 0.1b

Counts
25 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

11.1b
(* (/ a1 b1) (/ a2 b2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
11.0ms
(* (/ a1 b1) (/ a2 b2))

series37.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0319278
11415243
25001242

prune104.0ms

Filtered
53 candidates to 38 candidates (71.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh347
Picked011
Done101
Total501262

Merged error: 0b

Counts
62 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt b2)
0.5b
(cbrt b2)
4.8b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
5.7b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
68×add-sqr-sqrt
57×add-exp-log
41×add-cube-cbrt *-un-lft-identity
40×add-cbrt-cube
23×cbrt-undiv div-exp
22×associate-*r*
18×cbrt-prod
17×associate-*l*
16×prod-exp cbrt-unprod
13×associate-/l*
9×unswap-sqr
6×pow1 div-inv
4×add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
8.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
21.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series543.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt b2)
176.0ms
(cbrt b2)
110.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
72.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify85.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07371371
138061113
250011049

prune336.0ms

Filtered
160 candidates to 121 candidates (75.6%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh01010
Picked011
Done011
Total16012172

Merged error: 0b

Counts
172 → 12

localize6.0ms

Local error

Found 2 expressions with local error:

6.5b
(* (* (/ a1 b1) a2) (/ 1 b2))
6.6b
(* (/ a1 b1) a2)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×associate-*l*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×pow-prod-down associate-*l/
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×frac-times associate-*r/ un-div-inv
Counts
2 → 78
Calls
2 calls:
12.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))
6.0ms
(* (/ a1 b1) a2)

series48.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))
21.0ms
(* (/ a1 b1) a2)

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0402410
12157322
25002297

prune98.0ms

Filtered
84 candidates to 46 candidates (54.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New82284
Fresh369
Picked011
Done022
Total851196

Merged error: 0b

Counts
96 → 11

regimes470.0ms

Accuracy

77% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 10.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04030
14330
24630
34630

end0.0ms

sample698.0ms

Algorithm
intervals
Results
461.0ms10050×body80valid

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