Details

Time bar (total: 2.7s)

analyze587.0ms

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
1.0ms54×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0677
1677

prune11.0ms

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: 8.6b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

6.2b
(* a1 (/ a2 (* b1 b2)))
7.0b
(/ 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:
6.0ms
(* a1 (/ a2 (* b1 b2)))
5.0ms
(/ a2 (* b1 b2))

series16.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05070386

prune82.0ms

Filtered
36 candidates to 54 candidates (-50.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New45954
Fresh101
Picked101
Done000
Total47956

Merged error: 0.5b

Counts
56 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
3.9b
(* (* (/ (cbrt a2) b1) (cbrt a2)) a1)
7.0b
(* (* (* (/ (cbrt a2) b1) (cbrt a2)) a1) (/ (cbrt a2) b2))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
25×associate-*r*
23×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 associate-*l/
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
1×frac-times associate-*r/ div-inv
Counts
4 → 96
Calls
4 calls:
3.0ms
(cbrt a2)
1.0ms
(cbrt a2)
8.0ms
(* (* (/ (cbrt a2) b1) (cbrt a2)) a1)
14.0ms
(* (* (* (/ (cbrt a2) b1) (cbrt a2)) a1) (/ (cbrt a2) b2))

series101.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt a2)
22.0ms
(cbrt a2)
41.0ms
(* (* (/ (cbrt a2) b1) (cbrt a2)) a1)
13.0ms
(* (* (* (/ (cbrt a2) b1) (cbrt a2)) a1) (/ (cbrt a2) b2))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04938845
14938845

prune121.0ms

Filtered
65 candidates to 108 candidates (-66.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1044108
Fresh358
Picked101
Done000
Total1089117

Merged error: 0.0b

Counts
117 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

4.3b
(* a1 (/ a2 b1))
6.2b
(/ (* a1 (/ a2 b1)) 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 b1))
6.0ms
(/ (* a1 (/ a2 b1)) b2)

series13.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05011447

prune89.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New58462
Fresh268
Picked101
Done000
Total611071

Merged error: 0b

Counts
71 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ 1 (* (/ b1 a2) b2))
4.2b
(* (/ b1 a2) b2)
6.2b
(* a1 (/ 1 (* (/ b1 a2) b2)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×add-cbrt-cube
24×prod-exp
23×add-sqr-sqrt
19×div-exp
16×add-cube-cbrt *-un-lft-identity times-frac associate-*l*
11×associate-*r*
10×pow1 cbrt-unprod
9×cbrt-undiv
6×rec-exp 1-exp
3×pow-prod-down associate-*l/ div-inv associate-/l* add-log-exp unswap-sqr
2×pow-flip associate-/r/ *-commutative
1×frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 102
Calls
3 calls:
6.0ms
(/ 1 (* (/ b1 a2) b2))
6.0ms
(* (/ b1 a2) b2)
10.0ms
(* a1 (/ 1 (* (/ b1 a2) b2)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (* (/ b1 a2) b2))
5.0ms
(* (/ b1 a2) b2)
8.0ms
(* a1 (/ 1 (* (/ b1 a2) b2)))

simplify70.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04975737
14975737

prune73.0ms

Filtered
64 candidates to 111 candidates (-73.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1110111
Fresh099
Picked011
Done000
Total11110121

Merged error: 0b

Counts
121 → 10

regimes704.0ms

Accuracy

49.9% (5.9b remaining)

Error of 5.9b against oracle of 0.0b and baseline of 11.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04163
14163

end0.0ms

sample513.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid
47.0ms1769×body80invalid

Profiling

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