Details

Time bar (total: 3.5s)

analyze551.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms61×body80invalid

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: 7.3b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

5.6b
(/ a2 (* b1 b2))
8.4b
(* a1 (/ a2 (* b1 b2)))

rewrite12.0ms

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)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ a2 (* b1 b2))
8.0ms
(* a1 (/ a2 (* b1 b2)))

simplify50.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04995386
14995386

prune84.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New441054
Fresh011
Picked011
Done000
Total441256

Merged error: 0.2b

Counts
56 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
3.8b
(* a1 (* (cbrt a2) (/ (cbrt a2) b1)))
8.2b
(* (* a1 (* (cbrt a2) (/ (cbrt a2) b1))) (/ (cbrt a2) b2))

rewrite27.0ms

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 associate-*r/ div-exp
4×associate-*l* add-log-exp
2×pow1/3 *-commutative
1×frac-times associate-*l/ div-inv
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
7.0ms
(* a1 (* (cbrt a2) (/ (cbrt a2) b1)))
14.0ms
(* (* a1 (* (cbrt a2) (/ (cbrt a2) b1))) (/ (cbrt a2) b2))

series93.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt a2)
23.0ms
(cbrt a2)
31.0ms
(* a1 (* (cbrt a2) (/ (cbrt a2) b1)))
15.0ms
(* (* a1 (* (cbrt a2) (/ (cbrt a2) b1))) (/ (cbrt a2) b2))

simplify52.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05406846

prune303.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1035108
Fresh6410
Picked011
Done011
Total10911120

Merged error: 0.0b

Counts
120 → 11

localize6.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (* a1 (/ a2 b2)) b1)
6.5b
(* a1 (/ a2 b2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/r*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 56
Calls
2 calls:
6.0ms
(/ (* a1 (/ a2 b2)) b1)
7.0ms
(* a1 (/ a2 b2))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (* a1 (/ a2 b2)) b1)
5.0ms
(* a1 (/ a2 b2))

simplify57.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05168447

prune74.0ms

Filtered
42 candidates to 62 candidates (-47.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New59362
Fresh448
Picked011
Done022
Total631073

Merged error: 0.0b

Counts
73 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (/ (* a1 a2) b2) b1)
7.1b
(/ (* a1 a2) b2)

rewrite12.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
6.0ms
(/ (/ (* a1 a2) b2) b1)
4.0ms
(/ (* a1 a2) b2)

series15.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (/ (* a1 a2) b2) b1)
5.0ms
(/ (* a1 a2) b2)

simplify53.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05023692

prune58.0ms

Filtered
54 candidates to 75 candidates (-38.9%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New72375
Fresh246
Picked011
Done033
Total741185

Merged error: 0b

Counts
85 → 11

regimes885.0ms

Accuracy

77% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 11.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02875
12875

end0.0ms

analyze581.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14

sample505.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
54.0ms1851×body80invalid

Profiling

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