Details

Time bar (total: 2.7s)

sample24.0ms

Algorithm
intervals
Results
8.0ms301×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0677
1677

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.6b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

6.2b
(/ a2 (* b1 b2))
6.6b
(* a1 (/ a2 (* b1 b2)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
4.0ms
(/ a2 (* b1 b2))
6.0ms
(* a1 (/ a2 (* b1 b2)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ a2 (* b1 b2))
7.0ms
(* a1 (/ a2 (* b1 b2)))

simplify55.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05040386

prune129.0ms

Filtered
33 candidates to 54 candidates (-63.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New47754
Fresh011
Picked011
Done000
Total47956

Merged error: 0.0b

Counts
56 → 9

localize9.0ms

Local error

Found 1 expressions with local error:

8.3b
(* (/ a1 b1) (/ a2 b2))

rewrite20.0ms

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:
16.0ms
(* (/ a1 b1) (/ a2 b2))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(* (/ a1 b1) (/ a2 b2))

simplify71.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04993471
14993471

prune75.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New48553
Fresh347
Picked011
Done011
Total511162

Merged error: 0b

Counts
62 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
0.8b
(* (* (/ a1 b1) (* (cbrt a2) (/ (cbrt a2) (* (cbrt b2) (cbrt b2))))) (/ (cbrt a2) (cbrt b2)))
4.6b
(* (/ a1 b1) (* (cbrt a2) (/ (cbrt a2) (* (cbrt b2) (cbrt b2)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
129×add-exp-log
69×add-cbrt-cube
66×prod-exp cbrt-unprod
45×times-frac
42×cbrt-prod
41×associate-*r*
38×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
33×cbrt-undiv div-exp
18×pow1
14×associate-*l*
10×associate-*r/
9×pow-prod-down
6×frac-times associate-*l/
4×add-log-exp
2×pow1/3 *-commutative div-inv
Counts
4 → 160
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
20.0ms
(* (* (/ a1 b1) (* (cbrt a2) (/ (cbrt a2) (* (cbrt b2) (cbrt b2))))) (/ (cbrt a2) (cbrt b2)))
12.0ms
(* (/ a1 b1) (* (cbrt a2) (/ (cbrt a2) (* (cbrt b2) (cbrt b2)))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt b2)
21.0ms
(cbrt b2)
8.0ms
(* (* (/ a1 b1) (* (cbrt a2) (/ (cbrt a2) (* (cbrt b2) (cbrt b2))))) (/ (cbrt a2) (cbrt b2)))
34.0ms
(* (/ a1 b1) (* (cbrt a2) (/ (cbrt a2) (* (cbrt b2) (cbrt b2)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
054932489

prune155.0ms

Filtered
112 candidates to 172 candidates (-53.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1720172
Fresh088
Picked011
Done022
Total17211183

Merged error: 0b

Counts
183 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
4.7b
(* a1 (* (/ (cbrt a2) b1) (cbrt a2)))
5.2b
(* (* a1 (* (/ (cbrt a2) b1) (cbrt a2))) (/ (cbrt a2) b2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
23×associate-*r* prod-exp cbrt-unprod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×pow1 times-frac
15×cbrt-prod
9×pow-prod-down
7×cbrt-undiv div-exp
4×associate-*r/ associate-*l* associate-*l/ add-log-exp
2×pow1/3 *-commutative
1×frac-times div-inv
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
7.0ms
(* a1 (* (/ (cbrt a2) b1) (cbrt a2)))
15.0ms
(* (* a1 (* (/ (cbrt a2) b1) (cbrt a2))) (/ (cbrt a2) b2))

series273.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(cbrt a2)
21.0ms
(cbrt a2)
28.0ms
(* a1 (* (/ (cbrt a2) b1) (cbrt a2)))
12.0ms
(* (* a1 (* (/ (cbrt a2) b1) (cbrt a2))) (/ (cbrt a2) b2))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05077845

prune82.0ms

Filtered
63 candidates to 108 candidates (-71.4%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1071108
Fresh257
Picked011
Done033
Total10910119

Merged error: 0b

Counts
119 → 10

regimes722.0ms

Accuracy

75.5% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04676
14676

end0.0ms

sample726.0ms

Algorithm
intervals
Results
283.0ms10014×body80valid

Profiling

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