Details

Time bar (total: 5.0s)

analyze966.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
25%74.9%0.1%5
31.2%68.6%0.1%6
32.8%67.1%0.1%7
34.3%65.5%0.1%8
38.2%61.2%0.5%9
39.6%53%7.4%10
40.3%52.4%7.4%11
41.6%49.6%8.8%12
42%39.9%18.1%13
42.3%39.6%18.2%14

sample42.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
9.0ms111×body80invalid
2.0ms52×body80nan

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
0496113
1496113

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: 2.1b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* 10.0 k))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(* a (pow k m))
2.1b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
14×add-sqr-sqrt
11×add-cbrt-cube add-log-exp
add-cube-cbrt *-un-lft-identity
associate-*r*
prod-exp
pow1 unpow-prod-down div-exp sum-log
flip3-+ times-frac associate-*l* associate-/r* flip-+ unswap-sqr
cbrt-undiv +-commutative pow-to-exp pow-exp associate-/r/ cbrt-unprod sqr-pow
associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
2.0ms
(+ 1.0 (* 10.0 k))
4.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
5.0ms
(* a (pow k m))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* 10.0 k))
3.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
14.0ms
(* a (pow k m))
34.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify51.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04930910
14930910

prune111.0ms

Filtered
60 candidates to 86 candidates (-43.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New82486
Fresh101
Picked101
Done000
Total84488

Merged error: 2.0b

Counts
88 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0)))))
0.0b
(* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))))
16.6b
(sqrt (+ 1.0 (* k (+ k 10.0))))
16.6b
(sqrt (+ 1.0 (* k (+ k 10.0))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
134×times-frac
76×add-cube-cbrt *-un-lft-identity sqrt-prod
48×associate-*r*
45×unpow-prod-down
33×add-exp-log
24×associate-*l*
21×unswap-sqr
19×sqr-pow
18×add-cbrt-cube
13×div-exp
10×sqrt-div
pow1 prod-exp
associate-/l*
associate-/r* associate-/r/
cbrt-undiv flip3-+ flip-+
cbrt-unprod add-log-exp
pow-to-exp pow-exp div-inv
rem-sqrt-square sqrt-pow1 pow1/2
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 218
Calls
4 calls:
7.0ms
(/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0)))))
32.0ms
(* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))))
2.0ms
(sqrt (+ 1.0 (* k (+ k 10.0))))
2.0ms
(sqrt (+ 1.0 (* k (+ k 10.0))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0)))))
36.0ms
(* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))))
3.0ms
(sqrt (+ 1.0 (* k (+ k 10.0))))
4.0ms
(sqrt (+ 1.0 (* k (+ k 10.0))))

simplify67.0ms

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049745164
149745164

prune375.0ms

Filtered
147 candidates to 230 candidates (-56.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2291230
Fresh033
Picked011
Done000
Total2295234

Merged error: 0.0b

Counts
234 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow k m) (/ a (+ 1.0 (* k (+ k 10.0)))))
0.0b
(pow (* (pow k m) (/ a (+ 1.0 (* k (+ k 10.0))))) 3)
4.2b
(/ a (+ 1.0 (* k (+ k 10.0))))
15.8b
(cbrt (pow (* (pow k m) (/ a (+ 1.0 (* k (+ k 10.0))))) 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×add-exp-log
23×add-cube-cbrt *-un-lft-identity
21×times-frac
17×add-cbrt-cube
15×associate-*r*
12×prod-exp
11×pow-exp
cbrt-prod
unpow-prod-down div-exp associate-*l*
unswap-sqr
pow1 pow-to-exp sqr-pow
associate-/r/ cbrt-unprod add-log-exp
cbrt-undiv pow-unpow associate-*r/ associate-/r* associate-/l* rem-cube-cbrt
cube-div cube-mult flip3-+ unpow3 cube-prod flip-+ div-inv
cbrt-div pow-pow frac-2neg pow1/3 clear-num *-commutative rem-cbrt-cube
Counts
4 → 120
Calls
4 calls:
9.0ms
(* (pow k m) (/ a (+ 1.0 (* k (+ k 10.0)))))
7.0ms
(pow (* (pow k m) (/ a (+ 1.0 (* k (+ k 10.0))))) 3)
4.0ms
(/ a (+ 1.0 (* k (+ k 10.0))))
2.0ms
(cbrt (pow (* (pow k m) (/ a (+ 1.0 (* k (+ k 10.0))))) 3))

series122.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (pow k m) (/ a (+ 1.0 (* k (+ k 10.0)))))
44.0ms
(pow (* (pow k m) (/ a (+ 1.0 (* k (+ k 10.0))))) 3)
13.0ms
(/ a (+ 1.0 (* k (+ k 10.0))))
35.0ms
(cbrt (pow (* (pow k m) (/ a (+ 1.0 (* k (+ k 10.0))))) 3))

simplify59.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050492255

prune198.0ms

Filtered
97 candidates to 132 candidates (-36.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh033
Picked011
Done011
Total1325137

Merged error: 0.0b

Counts
137 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(* a (pow (sqrt k) m))
0.0b
(* (* a (pow (sqrt k) m)) (pow (sqrt k) m))
2.1b
(/ (* (* a (pow (sqrt k) m)) (pow (sqrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
45×prod-exp
20×add-sqr-sqrt associate-*r* add-cbrt-cube
15×pow-to-exp pow-exp
14×unpow-prod-down
13×add-cube-cbrt *-un-lft-identity div-exp
add-log-exp
sqrt-prod cbrt-unprod
pow1 associate-*l* unswap-sqr
cbrt-undiv times-frac associate-/r* sum-log sqr-pow
flip3-+ associate-/r/ *-commutative flip-+
+-commutative associate-+l+ frac-2neg clear-num div-inv associate-/l*
Counts
4 → 110
Calls
4 calls:
4.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
6.0ms
(* a (pow (sqrt k) m))
8.0ms
(* (* a (pow (sqrt k) m)) (pow (sqrt k) m))
12.0ms
(/ (* (* a (pow (sqrt k) m)) (pow (sqrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
25.0ms
(* a (pow (sqrt k) m))
37.0ms
(* (* a (pow (sqrt k) m)) (pow (sqrt k) m))
61.0ms
(/ (* (* a (pow (sqrt k) m)) (pow (sqrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify55.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049611442
149611442

prune95.0ms

Filtered
69 candidates to 122 candidates (-76.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh022
Picked011
Done022
Total1225127

Merged error: 0.0b

Counts
127 → 5

regimes164.0ms

Accuracy

93.3% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.0b

bsearch73.0ms

Steps
ItersRangePoint
7
4.924116202663679e+150
9.992870151633012e+152
7.430325758544677e+150

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03960
13960

end0.0ms

analyze972.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
25%74.9%0.1%5
31.2%68.6%0.1%6
32.8%67.1%0.1%7
34.3%65.5%0.1%8
38.2%61.2%0.5%9
39.6%53%7.4%10
40.3%52.4%7.4%11
41.6%49.6%8.8%12
42%39.9%18.1%13
42.3%39.6%18.2%14

sample1.2s

Algorithm
intervals
Results
508.0ms8000×body80valid
265.0ms3290×body80invalid
85.0ms1952×body80nan

Profiling

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